Reset password New user? Sign up

Existing user? Log in

Strong Induction

Already have an account? Log in here.

Strong induction is a variant of induction, in which we assume that the statement holds for all values preceding \(k\). This provides us with more information to use when trying to prove the statement.

Proof of Strong Induction

Additional problems.

Now that we know how standard induction works, it's time to look at a variant of it, strong induction. In many ways, strong induction is similar to normal induction. There is, however, a difference in the inductive hypothesis. Normally, when using induction, we assume that \(P(k)\) is true to prove \(P(k+1)\). In strong induction, we assume that all of \(P(1), P(2), . . . , P(k)\) are true to prove \(P(k + 1)\).

Why would we need to do that? Let's go back to our domino analogy. Say that you have infinitely many dominoes arranged in a line. But this time, the weight of the \(k^\text{th}\) domino isn't enough to knock down the \((k+1)^\text{th}\) domino. Knocking down the \((k+1)^\text{th}\) domino requires the weight of all the dominoes before it. Even now, if you are able to knock down the first domino, you can prove that all the dominoes will eventually fall.

The reason why this is called "strong induction" is that we use more statements in the inductive hypothesis. Let's write what we've learned till now a bit more formally.

Proof by strong induction Step 1. Demonstrate the base case: This is where you verify that \(P(k_0)\) is true. In most cases, \(k_0=1.\) Step 2. Prove the inductive step: This is where you assume that all of \(P(k_0)\), \(P(k_0+1), P(k_0+2), \ldots, P(k)\) are true (our inductive hypothesis). Then you show that \(P(k+1)\) is true.

The proof of why this works is similar to that of standard induction.

The Fibonacci sequence is defined by \( F_{n+2} = F_{n+1} + F_n \) for integers \( n \geq 0 \), with starting values \( F_1 = F_ 2 = 1 \). Show that \[ F_n = \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 + \sqrt{5} } { 2} \right)^n - \left ( \frac{1 - \sqrt{5} } { 2} \right)^n \right]. \] Base case: For \( n = 1 \), we have \( LHS: F_1 =1 \) and \( RHS: \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 + \sqrt{5} } { 2} \right)^1 - \left ( \frac{1 - \sqrt{5} } { 2} \right)^1 \right] = \frac{ 1 } { \sqrt{5} } \left[ \frac{ 2 \sqrt{5} } { 2} \right] = 1 \). For \( n = 2 \), we have \( LHS: F_2 = 1 \) and \( RHS: \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 + \sqrt{5} } { 2} \right)^2 - \left ( \frac{1 - \sqrt{5} } { 2} \right)^2 \right] = \frac{ 1 } { \sqrt{5} } \left[ \frac{ 4 \sqrt{5} } { 4} \right] = 1 \). Induction step: Suppose that the statement is true for \( n = k-1 \) and \( k \). Then, we have \[\begin{align} F_{n+1} & = F_n + F_{n-1} \\\\ & = \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 + \sqrt{5} } { 2} \right)^n - \left ( \frac{1 - \sqrt{5} } { 2} \right)^n \right] + \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 + \sqrt{5} } { 2} \right)^{n-1} - \left ( \frac{1 - \sqrt{5} } { 2} \right)^{n-1} \right] \\\\ & = \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 + \sqrt{5} } { 2} \right)^n + \left ( \frac{1 + \sqrt{5} } { 2} \right)^{n-1} \right] - \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 - \sqrt{5} } { 2} \right)^n + \left ( \frac{1 - \sqrt{5} } { 2} \right)^{n-1} \right] \\\\ & = \frac{ 1}{ \sqrt{5} } \left [ \left ( \frac{1 + \sqrt{5} } { 2} \right)^{n+1} - \left ( \frac{1 - \sqrt{5} } { 2} \right)^{n+1} \right]. \end{align} \] Hence, the proposition is true. \(_\square\)

Note that, in this case, we did not need to use all of prior statements, but just the previous 2.

A chocolate bar consists of unit squares arranged in an \( n \times m \) rectangular grid. You may split the bar into individual unit squares, by breaking along the lines. What is the number of breaks required? We will show that the number of breaks needed is \( nm - 1 \). Base Case: For a \( 1 \times 1 \) square, we are already done, so no steps are needed. \( 1 \times 1 - 1 = 0 \), so the base case is true. Induction Step: Let \( P(n,m) \) denote the number of breaks needed to split up an \( n \times m \) square. WLOG, we may assume that the first break is along a row, and we get an \( n_1 \times m \) and an \( n_2 \times m \) bar, where \( n_1 + n_2 = n \). By the induction hypothesis, the number of further breaks that we need is \( n_1 \times m - 1 \) and \( n_2 \times m - 1 \). Hence, the total number of breaks that we need is \[ 1 + ( n_1 \times m -1 ) + ( n_2 \times m - 1 ) = (n_1 + n_2) \times m - 1 = n \times m - 1.\ _\square \]

Note: This problem can also be approached using Invariance principle .

A country has \(n\) cities. Any two cities are connected by a one-way road. Show that there is a route that passes through every city. If you have already read the wiki on standard induction , this problem may seem familiar. Yes, we did prove this in that article (if you haven't read that wiki, now would be a good time to do that). We'll see how stronger induction produces a shorter and cleaner solution. As we've already seen, our base case for this is true. Now we make the "strong hypothesis." We assume that our statement is true for any set of \(k\) or fewer cities. Now, for a set of \((k+1)\) cities, take out the \((k+1)^\text{th}\) city \(C_{k+1}\) and split the rest of them into two sets \(A\) and \(B\). \(A\) will contain all the cities that lead to \(C_{k+1}\) and \(B\) will contain all the cities \(C_{k+1}\) leads to. Since \(A\) has \(k\) or fewer cities in it, by the inductive hypothesis, there is a route that passes through every city in \(A\). The same argument holds for \(B\). Now start with the route that passes through every city in \(A\). Then go to \(C_{k+1}\). You can do that because all the cities in \(A\) lead to \(C_{k+1}\). After that, go to the route that passes through every city in \(B\). Again, you can do that because \(C_{k+1}\) leads to every city in \(B\). And just like that, our proof is complete! \(_\square\)

This proof is almost identical to the proof of standard induction . Can you spot the differences?

Let \(S\) be a set of positive integers with the following properties: The integer 1 belongs to the set. Whenever the integers \(1, 2, 3, \ldots, k\) are in \(S\), the next integer \(k+1\) must also be in \(S\). Then \(S\) is the set of all positive integers.
We will prove this theorem by contradiction. Let \(T\) be the set of all positive integers not in \(S\). By assumption, \(T\) is non-empty. Hence it must contain a smallest element, which we will denote by \(\alpha\). By (1), \(0 < \alpha-1 < \alpha\). Since \( \alpha\) is the smallest integer in \(T\), this implies that \( 1, 2, \ldots, \alpha - 1 \not \in T \implies 1, 2, \ldots, \alpha -1 \in S \). By (2), \(S\) must also contain \( (\alpha-1)+1=\alpha\). This contradicts the assumption that \(\alpha\subset\) \(T\). Hence set \(T\) is empty, and set \(S\) contains all positive integers. \(_\square \)

Show that every integer \(N \neq 0\) can be written in the form \(N=2^k l\), where \(k\) is a non-negative integer and \(l\) is an odd integer.

[APMO '99] Let \(\{a_i\}\) be a sequence of real numbers that satisfy \( a_{i+j} \leq a_i + a_j\) \(\forall i, j\). Prove that \[\frac{ a_1}{1} + \frac {a_2}{2} + \cdots+ \frac {a_n}{n} \geq a_n. \]

Prove that every positive integer \(n\) has a binary expression. Namely, that there exists integers \( c_i \in \{ 0, 1 \} \) such that \[ n = c_r 2^r + c_{r-1} 2^{r-1} + \cdots + c_2 2^2 + c_1 2^1 + c_0 2^ 0. \]

Consider the sequence defined as \( d_1 = 1, d_2 = 2, d_3 = 3, \) and \( d_{n+3} = d_{n+2} + d_{n+1} + d_n \) for all positive integers \(n\). Show that \( d_n < 2 ^ n \).

Problem Loading...

Note Loading...

Set Loading...

Save 10% on All AnalystPrep 2024 Study Packages with Coupon Code BLOG10 .

  • Payment Plans
  • Product List
  • Partnerships

AnalystPrep

  • Try Free Trial
  • Study Packages
  • Levels I, II & III Lifetime Package
  • Video Lessons
  • Study Notes
  • Practice Questions
  • Levels II & III Lifetime Package
  • About the Exam
  • About your Instructor
  • Part I Study Packages
  • Part I & Part II Lifetime Package
  • Part II Study Packages
  • Exams P & FM Lifetime Package
  • Quantitative Questions
  • Verbal Questions
  • Data Insight Questions
  • Live Tutoring
  • About your Instructors
  • EA Practice Questions
  • Data Sufficiency Questions
  • Integrated Reasoning Questions

Weak, Semi-strong, and Strong Forms Market Efficiency

Weak, Semi-strong, and Strong Forms Market Efficiency

Eugene Fama developed a framework of market efficiency that laid out three forms of efficiency: weak, semi-strong, and strong. Each form is defined with respect to the available information that is reflected in prices. Investors trading on available information that is not priced into the market would earn abnormal returns, defined as excess risk-adjusted returns.

In the weak-form efficient market hypothesis, all historical prices of securities have already been reflected in the market prices of securities. In other words, technicians – those trading on analysis of historical trading information – should earn no abnormal returns. Research has shown that this is likely the case in developed markets, but less developed markets may still offer the opportunity to profit from technical analysis.

Semi-strong Form

In a semi-strong-form efficient market, prices reflect all publicly known and available information, including all historical price information. Under this assumption, analyzing any public financial disclosures made by a company to determine a stock’s intrinsic value would be futile since every detail would be taken into account in the stock’s market price. Similarly, an investor could not earn consistent abnormal returns by acting on surprise announcements since the market would quickly react to the new information.

Strong Form

In a strong-form efficient market, security prices fully reflect both public and private information. Therefore, insiders could not generate abnormal returns by trading on private information because it would already figure into market prices. However, researchers find that markets are generally not strong-form efficient as abnormal profits can be earned when nonpublic information is used.

In the following graph, we can clearly see that the weak form of market efficiency reflects only past market data. In contrast, the strong form reflects all past data, public market information, and insider information.

Market Prices Reflect

$$ \begin{array}{cccc} \textbf{Forms of market efficiency} & \textbf{Past market data} & \textbf{Public information} & \textbf{Private information} \\ \hline \text{Weak form} & \checkmark & & \\ \text{Semi-strong form} & \checkmark & \checkmark & \\ \text{Strong form} & \checkmark & \checkmark & \checkmark \\ \end{array} $$

Question If a skilled fundamental financial analyst and an insider trader all earn the same long-run risk-adjusted returns, what form of market efficiency is likely to apply? Weak form. Strong form. Semi-strong form. Solution The correct answer is B . Since the insider trader can’t even earn higher risk-adjusted returns than the skilled fundamental financial analyst, the market must be strong-form efficient.

Offered by AnalystPrep

strong and weak hypothesis

Key Differences Between US GAAP and IFRS

Standard 1(a) – knowledge of the law, approaches to forecasting a company ....

Issuer’s Disclosures about Operating Costs When it comes to operating costs, issuers tend... Read More

Behavioral Finance

Behavioral finance examines investor behavior to understand how people make decisions, individually and... Read More

Present Value Models to Value Equity

Present value models are based on a fundamental tenet of economics stating that... Read More

Role of Equity Securities

Companies issue equity securities in the primary markets to raise capital and increase... Read More

Oblivious Investor

Low-Maintenance Investing with Index Funds and ETFs

Oblivious Investor Press Coverage

  • 2024 Tax Brackets
  • 2023 Tax Brackets
  • How Are S-Corps Taxed?
  • How to Calculate Self-Employment Tax
  • LLC vs. S-Corp vs. C-Corp
  • SEP vs. SIMPLE vs. Solo 401(k)
  • How to Calculate Amortization Expense
  • How to Calculate Cost of Goods Sold
  • How to Calculate Depreciation Expense
  • Contribution Margin Formula
  • Direct Costs vs. Indirect Costs
  • 401k Rollover to IRA: How, Why, and Where
  • What’s Your Funded Ratio?
  • Why Invest in Index Funds?
  • 8 Simple Portfolios
  • How is Social Security Calculated?
  • How Social Security Benefits Are Taxed
  • When to Claim Social Security
  • Social Security Strategies for Married Couples
  • Deduction Bunching
  • Donor-Advised Funds: What’s the Point?
  • Qualified Charitable Distributions (QCDs)

Get new articles by email:

Oblivious Investor offers a free newsletter providing tips on low-maintenance investing, tax planning, and retirement planning.

Join over 20,000 email subscribers:

Articles are published every Monday. You can unsubscribe at any time.

Efficient Market Hypothesis: Strong, Semi-Strong, and Weak

If I were to choose one thing from the academic world of finance that I think more individual investors need to know about, it would be the efficient market hypothesis.

The name “efficient market hypothesis” sounds terribly arcane. But its significance is huge for investors, and (at a basic level) it’s not very hard to understand.

So what is the efficient market hypothesis (EMH)?

As professor Eugene Fama (the man most often credited as the father of EMH) explains*, in an efficient market, “the current price [of an investment] should reflect all available information…so prices should change only based on unexpected new information.”

It’s important to note that, as Fama himself has said, the efficient market hypothesis is a model, not a rule. It describes how markets tend to work. It does not dictate how they must work.

EMH is typically broken down into three forms (weak, semi-strong, and strong) each with their own implications and varying levels of data to back them up.

Weak Efficient Market Hypothesis

The weak form of EMH says that you cannot predict future stock prices on the basis of past stock prices. Weak-form EMH is a shot aimed directly at technical analysis. If past stock prices don’t help to predict future prices, there’s no point in looking at them — no point in trying to discern patterns in stock charts.

From what I’ve seen, most academic studies seem to show that weak-form EMH holds up pretty well. (Take, for example, the recent study which tested over 5,000 technical analysis rules and showed them to be unsuccessful at generating abnormally high returns.)

Semi-Strong Efficient Market Hypothesis

The semi-strong form of EMH says that you cannot use any published information to predict future prices. Semi-strong EMH is a shot aimed at fundamental analysis. If all published information is already reflected in a stock’s price, then there’s nothing to be gained from looking at financial statements or from paying somebody (i.e., a fund manager) to do that for you.

Semi-strong EMH has also held up reasonably well. For example, the number of active fund managers who outperform the market has historically been no more than can be easily attributed to pure randomness .

Semi-strong EMH does not appear to be ironclad, however, as there have been a small handful of investors (e.g., Peter Lynch, Warren Buffet) whose outperformance is of a sufficient degree that it’s extremely difficult to explain as just luck.

The trick, of course, is that it’s nearly impossible to identify such an investor in time to profit from it. You must either:

  • Invest with a fund manager after only a few years of outperformance (at which point his/her performance could easily be due to luck), or
  • Wait until the manager has provided enough data so that you can be sure that his performance is due to skill (at which point his fund will be sufficiently large that he’ll have trouble outperforming in the future).

Strong Efficient Market Hypothesis

The strong form of EMH says that everything that is knowable — even unpublished information — has already been reflected in present prices. The implication here would be that even if you have some inside information and could legally trade based upon it, you would gain nothing by doing so.

The way I see it, strong-form EMH isn’t terribly relevant to most individual investors, as it’s not too often that we have information not available to the institutional investors.

Why You Should Care About EMH

Given the degree to which they’ve held up, the implications of weak and semi-strong EMH cannot be overstated. In short, the takeaway is that there’s very little evidence indicating that individual investors can do anything better than simply buy & hold a low-cost, diversified portfolio .

*Update: The video from which this quote came has since been taken offline.

New to Investing? See My Related Book:

.
  • Asset Allocation: Why it's so important, and how to determine your own,
  • How to to pick winning mutual funds,
  • Roth IRA vs. traditional IRA vs. 401(k),
  • Click here to see the full list .

A Testimonial:

  • Read other reviews on Amazon

A good point to keep in mind is that even if the EMH models aren’t a perfect model of the stock market- if it is close enough that technical analysis or fundamental analysis won’t give you a real advantage then it doesn’t make sense to try them. A Random Walk Down Wall Street: The Time-Tested Strategy for Successful Investing presents that case very well.

-Rick Francis

Wonderfully concise summary, Mike.

Just for completeness, re: the Semi-Strong EMH, there’s a third option – you could try to invest in stocks and beat the market yourself.

I know, I know – but before I get my hat I’d argue that there’s benefits to this approach over picking one or more active fund managers, in that your dealing charges *may* be lower than the fund’s charges (and at least they’re transparent and under your control) and also you don’t have to try to predict two potentially understandable things – a manager’s performance AND the performance of the sort of stocks he invests in (or even a third – whether he or she is going to stick around).

Of course, a tracker fund sidesteps all of this for most people to deliver better than average results compared to funds, and only slightly worse results compared to the market. 🙂

strong and weak hypothesis

Click here to read more, or enter your email address in the blue form to the left to receive free updates.

Recommended Reading

strong and weak hypothesis

Investing Made Simple: Investing in Index Funds Explained in 100 Pages or Less See it on Amazon Read customer reviews on Amazon

My Latest Books

strong and weak hypothesis

After the Death of Your Spouse: Next Financial Steps for Surviving Spouses See it on Amazon

strong and weak hypothesis

More than Enough: A Brief Guide to the Questions That Arise After Realizing You Have More Than You Need See it on Amazon

The 20% Statistician

A blog on statistics, methods, philosophy of science, and open science. Understanding 20% of statistics will improve 80% of your inferences.

Monday, July 2, 2018

Strong versus weak hypothesis tests, risky predictions.

strong and weak hypothesis

Systematic Noise

Range predictions, testing range predictions in practice .

strong and weak hypothesis

6 comments:

strong and weak hypothesis

This comment has been removed by a blog administrator.

  • All Self-Study Programs
  • Premium Package
  • Basic Package
  • Private Equity Masterclass
  • VC Term Sheets & Cap Tables
  • Sell-Side Equity Research (ERC © )
  • Buy-Side Financial Modeling
  • Real Estate Financial Modeling
  • REIT Modeling
  • FP&A Modeling (CFPAM ™ )
  • Project Finance Modeling
  • Bank & FIG Modeling
  • Oil & Gas Modeling
  • Biotech Sum of the Parts Valuation
  • The Impact of Tax Reform on Financial Modeling
  • Corporate Restructuring
  • The 13-Week Cash Flow Model
  • Accounting Crash Course
  • Advanced Accounting
  • Crash Course in Bonds
  • Analyzing Financial Reports
  • Interpreting Non-GAAP Reports
  • Fixed Income Markets (FIMC © )
  • Equities Markets Certification (EMC © )
  • ESG Investing
  • Excel Crash Course
  • PowerPoint Crash Course
  • Ultimate Excel VBA Course
  • Investment Banking "Soft Skills"
  • Networking & Behavioral Interview
  • 1000 Investment Banking Interview Questions
  • Virtual Boot Camps
  • 1:1 Coaching
  • Corporate Training
  • University Training
  • Free Content
  • Support/Contact Us
  • About Wall Street Prep
  • Investment Analysis

Efficient Market Hypothesis (EMH)

Step-by-Step Guide to Understanding the Efficient Market Hypothesis (EMH)

Learn Online Now

What is the Efficient Market Hypothesis?

The Efficient Market Hypothesis (EMH) theory – introduced by economist Eugene Fama – states that the prevailing asset prices in the market fully reflect all available information.

Efficient Market Hypothesis (EMH)

Table of Contents

What is the Definition of Efficient Market Hypothesis?

Eugene fama quote: stock market theory, what are the 3 forms of efficient market hypothesis, emh and passive investing, efficient market hypothesis vs. active management, random walk theory vs. efficient market hypothesis (emh), efficient market hypothesis conclusion.

The efficient market hypothesis (EMH) theorizes about the relationship between the:

  • Information Availability in the Market
  • Current Market Trading Prices (i.e. Share Prices of Public Equities)

Under the efficient market hypothesis, following the release of new information/data to the public markets, the prices will adjust instantaneously to reflect the market-determined, “accurate” price.

EMH claims that all available information is already “priced in” – meaning that the assets are priced at their fair value . Therefore, if we assume EMH is true, the implication is that it is practically impossible to outperform the market consistently.

“The proposition is that prices reflect all available information, which in simple terms means since prices reflect all available information, there’s no way to beat the market.” – Eugene Fama

Weak Form, Semi-Strong, and Strong Form Market Efficiency

Eugene Fama classified market efficiency into three distinct forms:

  • Weak Form EMH: All past information like historical trading prices and volume data is reflected in the market prices.
  • Semi-Strong EMH: All publicly available information is reflected in the current market prices.
  • Strong Form EMH: All public and private information, inclusive of insider information, is reflected in market prices.

The Wharton Online & Wall Street Prep Buy-Side Investing Certificate Program

Fast track your career as a hedge fund or equity research professional. Enrollment is open for the Sep. 9 - Nov. 10 cohort.

Broadly put, there are two approaches to investing:

  • Active Management: Reliance on the personal judgment, analytical research, and financial models of investment professionals to manage a portfolio of securities (e.g. hedge funds).
  • Passive Investing: “Hands-off,” buy-and-hold portfolio investment strategy with long-term holding periods, with minimal portfolio adjustments.

As EMH has grown in widespread acceptance, passive investing has become more common, especially for retail investors (i.e. non-institutions).

Index investing is perhaps the most common form of passive investing, whereby investors seek to replicate and hold a security that tracks market indices.

In recent times, some of the main beneficiaries of the shift from active management to passive investing have been index funds such as:

  • Mutual Funds
  • Exchange-Traded Funds (ETFs)

The widely held belief among passive investors is that it’s very difficult to beat the market, and attempting to do so would be futile.

Plus, passive investing is more convenient for the everyday investor to participate in the markets – with the added benefit of being able to avoid high fees charged by active managers.

Long story short, hedge fund professionals struggle to “beat the market” despite spending the entirety of their time researching these stocks with more data access than most retail investors.

With that said, it seems like the odds are stacked against retail investors, who invest with fewer resources, information (e.g. reports), and time.

One could make the argument that hedge funds are not actually intended to outperform the market (i.e. generate alpha ), but to generate stable, low returns regardless of market conditions – as implied by the term “hedge” in the name.

However, considering the long-term horizon of passive investing, the urgency of receiving high returns on behalf of limited partners (LPs) is not a relevant factor for passive investors.

Typically, passive investors invest in market indices tracking products with the understanding that the market could crash, but patience pays off over time (or the investor can also purchase more – i.e. a practice known as “dollar-cost averaging”, or DCA).

1. Random Walk Theory

The “ random walk theory ” arrives at the conclusion that attempting to predict and profit from share price movements is futile.

According to the random walk theory , share price movements are driven by random, unpredictable events – which nobody, regardless of their credentials, can accurately predict.

For the most part, the accuracy of predictions and past successes are more so due to chance as opposed to actual skill.

2. Efficient Market Hypothesis (EMH)

By contrast, EMH theorizes that asset prices, to some extent, accurately reflect all the information available in the market.

Under EMH, a company’s share price can neither be undervalued nor overvalued, as the shares are trading precisely where they should be given the “efficient” market structure (i.e. are priced at their fair value on exchanges).

In particular, if the EMH is strong-form efficient, there is essentially no point in active management, especially considering the mounting fees.

Since EMH contends that the current market prices reflect all information, attempts to outperform the market by finding mispriced securities or accurately timing the performance of a certain asset class come down to “luck” as opposed to skill.

One important distinction is that EMH refers specifically to long-term performance – therefore, if a fund achieves “above-market” returns – that does NOT invalidate the EMH theory.

In fact, most EMH proponents agree that outperforming the market is certainly plausible, but these occurrences are infrequent over the long term and not worth the short-term effort (and active management fees).

Thereby, EMH supports the notion that it is NOT feasible to consistently generate returns in excess of the market over the long term.

  • Google+
  • 100+ Excel Financial Modeling Shortcuts You Need to Know
  • The Ultimate Guide to Financial Modeling Best Practices and Conventions
  • What is Investment Banking?
  • Essential Reading for your Investment Banking Interview

We're sending the requested files to your email now. If you don't receive the email, be sure to check your spam folder before requesting the files again.

Wharton Online Logo

The Wall Street Prep Quicklesson Series

7 Free Financial Modeling Lessons

Get instant access to video lessons taught by experienced investment bankers. Learn financial statement modeling, DCF, M&A, LBO, Comps and Excel shortcuts.

strong and weak hypothesis

  • Search Search Please fill out this field.
  • Assets & Markets
  • Mutual Funds

Efficient Markets Hypothesis (EMH)

EMH Definition and Forms

strong and weak hypothesis

What Is Efficient Market Hypothesis?

What are the types of emh, emh and investing strategies, the bottom line, frequently asked questions (faqs).

The Efficient Market Hypothesis (EMH) is one of the main reasons some investors may choose a passive investing strategy. It helps to explain the valid rationale of buying these passive mutual funds and exchange-traded funds (ETFs).

The Efficient Market Hypothesis (EMH) essentially says that all known information about investment securities, such as stocks, is already factored into the prices of those securities. If that is true, no amount of analysis can give you an edge over "the market."

EMH does not require that investors be rational; it says that individual investors will act randomly. But as a whole, the market is always "right." In simple terms, "efficient" implies "normal."

For example, an unusual reaction to unusual information is normal. If a crowd suddenly starts running in one direction, it's normal for you to run that way as well, even if there isn't a rational reason for doing so.

There are three forms of EMH: weak, semi-strong, and strong. Here's what each says about the market.

  • Weak Form EMH:  Weak form EMH suggests that all past information is priced into securities. Fundamental analysis of securities can provide you with information to produce returns above market averages in the short term. But no "patterns" exist. Therefore, fundamental analysis does not provide a long-term advantage, and technical analysis will not work.
  • Semi-Strong Form EMH:  Semi-strong form EMH implies that neither fundamental analysis nor technical analysis can provide you with an advantage. It also suggests that new information is instantly priced into securities.
  • Strong Form EMH:  Strong form EMH says that all information, both public and private, is priced into stocks; therefore, no investor can gain advantage over the market as a whole. Strong form EMH does not say it's impossible to get an abnormally high return. That's because there are always outliers included in the averages.

EMH does not say that you can never outperform the market . It says that there are outliers who can beat the market averages. But there are also outliers who lose big to the market. The majority is closer to the median. Those who "win" are lucky; those who "lose" are unlucky.

Proponents of EMH, even in its weak form, often invest in index funds or certain ETFs. That is because those funds are passively managed and simply attempt to match, not beat, overall market returns.

Index investors might say they are going along with this common saying: "If you can't beat 'em, join 'em." Instead of trying to beat the market, they will buy an index fund that invests in the same securities as the benchmark index.

Some investors will still try to beat the market, believing that the movement of stock prices can be predicted, at least to some degree. For that reason, EMH does not align with a day trading strategy. Traders study short-term trends and patterns. Then, they attempt to figure out when to buy and sell based on these patterns. Day traders would reject the strong form of EMH.

For more on EMH, including arguments against it, check out the EMH paper from economist Burton G. Malkiel. Malkiel is also the author of the investing book "A Random Walk Down Main Street." The random walk theory says that movements in stock prices are random.

If you believe that you can't predict the stock market, you would most often support the EMH. But a short-term trader might reject the ideas put forth by EMH, because they believe that they are able to predict changes in stock prices.

For most investors, a passive, buy-and-hold , long-term strategy is useful. Capital markets are mostly unpredictable with random up and down movements in price.

When did the Efficient Market Hypothesis first emerge?

At the core of EMH is the theory that, in general, even professional traders are unable to beat the market in the long term with fundamental or technical analysis . That idea has roots in the 19th century and the "random walk" stock theory. EMH as a specific title is sometimes attributed to Eugene Fama's 1970 paper "Efficient Capital Markets: A Review of Theory and Empirical Work."

How is the Efficient Market Hypothesis used in the real world?

Investors who utilize EMH in their real-world portfolios are likely to make fewer decisions than investors who use fundamental or technical analysis. They are more likely to simply invest in broad market products, such as S&P 500 and total market funds.

Corporate Finance Institute. " Efficient Markets Hypothesis ."

IG.com. " Random Walk Theory Definition ."

Finance Strategists Logo

Efficient Market Hypothesis (EMH)

strong and weak hypothesis

Written by True Tamplin, BSc, CEPF®

Reviewed by subject matter experts.

Updated on July 12, 2023

Are You Retirement Ready?

Table of contents, efficient market hypothesis (emh) overview.

The Efficient Market Hypothesis (EMH) is a theory that suggests financial markets are efficient and incorporate all available information into asset prices.

According to the EMH, it is impossible to consistently outperform the market by employing strategies such as technical analysis or fundamental analysis.

The hypothesis argues that since all relevant information is already reflected in stock prices, it is not possible to gain an advantage and generate abnormal returns through stock picking or market timing.

The EMH comes in three forms: weak, semi-strong, and strong, each representing different levels of market efficiency.

While the EMH has faced criticisms and challenges, it remains a prominent theory in finance that has significant implications for investors and market participants.

Types of Efficient Market Hypothesis

The Efficient Market Hypothesis can be categorized into the following:

Weak Form EMH

The weak form of EMH posits that all past market prices and data are fully reflected in current stock prices.

Therefore, technical analysis methods, which rely on historical data, are deemed useless as they cannot provide investors with a competitive edge. However, this form doesn't deny the potential value of fundamental analysis.

Semi-strong Form EMH

The semi-strong form of EMH extends beyond historical prices and suggests that all publicly available information is instantly priced into the market.

This includes financial statements, news releases, economic indicators, and other public disclosures. Therefore, neither technical analysis nor fundamental analysis can yield superior returns consistently.

Strong Form EMH

The most extreme version of EMH, the strong form, asserts that all information, both public and private, is fully reflected in stock prices.

Even insiders with privileged information cannot consistently achieve higher-than-average market returns. This form, however, is widely criticized as it conflicts with securities regulations that prohibit insider trading .

Types of Efficient Market Hypothesis

Assumptions of the Efficient Market Hypothesis

Three fundamental assumptions underpin the Efficient Market Hypothesis.

All Investors Have Access to All Publicly Available Information

This assumption holds that the dissemination of information is perfect and instantaneous. All market participants receive all relevant news and data about a security or market simultaneously, and no investor has privileged access to information.

All Investors Have a Rational Expectation

In EMH, it is assumed that investors collectively have a rational expectation about future market movements. This means that they will act in a way that maximizes their profits based on available information, and their collective actions will cause securities' prices to adjust appropriately.

Investors React Instantly to New Information

In an efficient market, investors instantaneously incorporate new information into their investment decisions. This immediate response to news and data leads to swift adjustments in securities' prices, rendering it impossible to "beat the market."

Implications of the Efficient Market Hypothesis

The EMH has several implications across different areas of finance.

Implications for Individual Investors

For individual investors, EMH suggests that "beating the market" consistently is virtually impossible. Instead, investors are advised to invest in a well-diversified portfolio that mirrors the market, such as index funds.

Implications for Portfolio Managers

For portfolio managers , EMH implies that active management strategies are unlikely to outperform passive strategies consistently. It discourages the pursuit of " undervalued " stocks or timing the market.

Implications for Corporate Finance

In corporate finance, EMH implies that a company's stock is always fairly priced, meaning it should be indifferent between issuing debt and equity . It also suggests that stock splits , dividends , and other financial decisions have no impact on a company's value.

Implications for Government Regulation

For regulators , EMH supports policies that promote transparency and information dissemination. It also justifies the prohibition of insider trading.

Implications of the Efficient Market Hypothesis

Criticisms and Controversies Surrounding the Efficient Market Hypothesis

Despite its widespread acceptance, the EMH has attracted significant criticism and controversy.

Behavioral Finance and the Challenge to EMH

Behavioral finance argues against the notion of investor rationality assumed by EMH. It suggests that cognitive biases often lead to irrational decisions, resulting in mispriced securities.

Examples include overconfidence, anchoring, loss aversion, and herd mentality, all of which can lead to market anomalies.

Market Anomalies and Inefficiencies

EMH struggles to explain various market anomalies and inefficiencies. For instance, the "January effect," where stocks tend to perform better in January, contradicts the EMH.

Similarly, the "momentum effect" suggests that stocks that have performed well recently tend to continue performing well, which also challenges EMH.

Financial Crises and the Question of Market Efficiency

The Global Financial Crisis of 2008 raised serious questions about market efficiency. The catastrophic market failure suggested that markets might not always price securities accurately, casting doubt on the validity of EMH.

Empirical Evidence of the Efficient Market Hypothesis

Empirical evidence on the EMH is mixed, with some studies supporting the hypothesis and others refuting it.

Evidence Supporting EMH

Several studies have found that professional fund managers, on average, do not outperform the market after accounting for fees and expenses.

This finding supports the semi-strong form of EMH. Similarly, numerous studies have shown that stock prices tend to follow a random walk, supporting the weak form of EMH.

Evidence Against EMH

Conversely, other studies have documented persistent market anomalies that contradict EMH.

The previously mentioned January and momentum effects are examples of such anomalies. Moreover, the occurrence of financial bubbles and crashes provides strong evidence against the strong form of EMH.

Efficient Market Hypothesis in Modern Finance

Despite criticisms, the EMH continues to shape modern finance in profound ways.

EMH and the Rise of Passive Investing

The EMH has been a driving force behind the rise of passive investing. If markets are efficient and all information is already priced into securities, then active management cannot consistently outperform the market.

As a result, many investors have turned to passive strategies, such as index funds and ETFs .

Impact of Technology on Market Efficiency

Advances in technology have significantly improved the speed and efficiency of information dissemination, arguably making markets more efficient. High-frequency trading and algorithmic trading are now commonplace, further reducing the possibility of beating the market.

Future of EMH in Light of Evolving Financial Markets

While the debate over market efficiency continues, the growing influence of machine learning and artificial intelligence in finance could further challenge the EMH.

These technologies have the potential to identify and exploit subtle patterns and relationships that human investors might miss, potentially leading to market inefficiencies.

The Efficient Market Hypothesis is a crucial financial theory positing that all available information is reflected in market prices, making it impossible to consistently outperform the market. It manifests in three forms, each with distinct implications.

The weak form asserts that all historical market information is accounted for in current prices, suggesting technical analysis is futile.

The semi-strong form extends this to all publicly available information, rendering both technical and fundamental analysis ineffective.

The strongest form includes even insider information, making all efforts to beat the market futile. EMH's implications are profound, affecting individual investors, portfolio managers, corporate finance decisions, and government regulations.

Despite criticisms and evidence of market inefficiencies, EMH remains a cornerstone of modern finance, shaping investment strategies and financial policies.

Efficient Market Hypothesis (EMH) FAQs

What is the efficient market hypothesis (emh), and why is it important.

The Efficient Market Hypothesis (EMH) is a theory suggesting that financial markets are perfectly efficient, meaning that all securities are fairly priced as their prices reflect all available public information. It's important because it forms the basis for many investment strategies and regulatory policies.

What are the three forms of the Efficient Market Hypothesis (EMH)?

The three forms of the EMH are the weak form, semi-strong form, and strong form. The weak form suggests that all past market prices are reflected in current prices. The semi-strong form posits that all publicly available information is instantly priced into the market. The strong form asserts that all information, both public and private, is fully reflected in stock prices.

How does the Efficient Market Hypothesis (EMH) impact individual investors and portfolio managers?

According to the EMH, consistently outperforming the market is virtually impossible because all available information is already factored into the prices of securities. Therefore, it suggests that individual investors and portfolio managers should focus on creating well-diversified portfolios that mirror the market rather than trying to beat the market.

What are some criticisms of the Efficient Market Hypothesis (EMH)?

Criticisms of the EMH often come from behavioral finance, which argues that cognitive biases can lead investors to make irrational decisions, resulting in mispriced securities. Additionally, the EMH has difficulty explaining certain market anomalies, such as the "January effect" or the "momentum effect." The occurrence of financial crises also raises questions about the validity of EMH.

How does the Efficient Market Hypothesis (EMH) influence modern finance and its future?

Despite criticisms, the EMH has profoundly shaped modern finance. It has driven the rise of passive investing and influenced the development of many financial regulations. With advances in technology, the speed and efficiency of information dissemination have increased, arguably making markets more efficient. Looking forward, the growing influence of artificial intelligence and machine learning could further challenge the EMH.

About the Author

True Tamplin, BSc, CEPF®

True Tamplin is a published author, public speaker, CEO of UpDigital, and founder of Finance Strategists.

True is a Certified Educator in Personal Finance (CEPF®), author of The Handy Financial Ratios Guide , a member of the Society for Advancing Business Editing and Writing, contributes to his financial education site, Finance Strategists, and has spoken to various financial communities such as the CFA Institute, as well as university students like his Alma mater, Biola University , where he received a bachelor of science in business and data analytics.

To learn more about True, visit his personal website or view his author profiles on Amazon , Nasdaq and Forbes .

Related Topics

  • AML Regulations for Cryptocurrencies
  • Active vs Passive Investment Management
  • Advantages and Disadvantages of Cryptocurrencies
  • Aggressive Investing
  • Asset Management vs Investment Management
  • Becoming a Millionaire With Cryptocurrency
  • Burning Cryptocurrency
  • Cheapest Cryptocurrencies With High Returns
  • Complete List of Cryptocurrencies & Their Market Capitalization
  • Countries Using Cryptocurrency
  • Countries Where Bitcoin Is Illegal
  • Crypto Investor’s Guide to Form 1099-B
  • Cryptocurrency Airdrop
  • Cryptocurrency Alerting
  • Cryptocurrency Analysis Tool
  • Cryptocurrency Cloud Mining
  • Cryptocurrency Risks
  • Cryptocurrency Taxes
  • Depth of Market
  • Digital Currency vs Cryptocurrency
  • Fiat vs Cryptocurrency
  • Fundamental Analysis in Cryptocurrencies
  • Global Macro Hedge Fund
  • Gold-Backed Cryptocurrency
  • How to Buy a House With Cryptocurrencies
  • How to Cash Out Your Cryptocurrency
  • Inventory Turnover Rate (ITR)
  • Largest Cryptocurrencies by Market Cap
  • Types of Fixed Income Investments

Ask a Financial Professional Any Question

Discover wealth management solutions near you, our recommended advisors.

strong and weak hypothesis

Claudia Valladares

WHY WE RECOMMEND:

Fee-Only Financial Advisor Show explanation

Bilingual in english / spanish, founder of wisedollarmom.com, quoted in gobanking rates, yahoo finance & forbes.

IDEAL CLIENTS:

Retirees, Immigrants & Sudden Wealth / Inheritance

Retirement Planning, Personal finance, Goals-based Planning & Community Impact

strong and weak hypothesis

Taylor Kovar, CFP®

Certified financial planner™, 3x investopedia top 100 advisor, author of the 5 money personalities & keynote speaker.

Business Owners, Executives & Medical Professionals

Strategic Planning, Alternative Investments, Stock Options & Wealth Preservation

We use cookies to ensure that we give you the best experience on our website. If you continue to use this site we will assume that you are happy with it.

Fact Checked

At Finance Strategists, we partner with financial experts to ensure the accuracy of our financial content.

Our team of reviewers are established professionals with decades of experience in areas of personal finance and hold many advanced degrees and certifications.

They regularly contribute to top tier financial publications, such as The Wall Street Journal, U.S. News & World Report, Reuters, Morning Star, Yahoo Finance, Bloomberg, Marketwatch, Investopedia, TheStreet.com, Motley Fool, CNBC, and many others.

This team of experts helps Finance Strategists maintain the highest level of accuracy and professionalism possible.

Why You Can Trust Finance Strategists

Finance Strategists is a leading financial education organization that connects people with financial professionals, priding itself on providing accurate and reliable financial information to millions of readers each year.

We follow strict ethical journalism practices, which includes presenting unbiased information and citing reliable, attributed resources.

Our goal is to deliver the most understandable and comprehensive explanations of financial topics using simple writing complemented by helpful graphics and animation videos.

Our writing and editorial staff are a team of experts holding advanced financial designations and have written for most major financial media publications. Our work has been directly cited by organizations including Entrepreneur, Business Insider, Investopedia, Forbes, CNBC, and many others.

Our mission is to empower readers with the most factual and reliable financial information possible to help them make informed decisions for their individual needs.

How It Works

Step 1 of 3, ask any financial question.

Ask a question about your financial situation providing as much detail as possible. Your information is kept secure and not shared unless you specify.

strong and weak hypothesis

Step 2 of 3

Our team will connect you with a vetted, trusted professional.

Someone on our team will connect you with a financial professional in our network holding the correct designation and expertise.

strong and weak hypothesis

Step 3 of 3

Get your questions answered and book a free call if necessary.

A financial professional will offer guidance based on the information provided and offer a no-obligation call to better understand your situation.

strong and weak hypothesis

Where Should We Send Your Answer?

strong and weak hypothesis

Just a Few More Details

We need just a bit more info from you to direct your question to the right person.

Tell Us More About Yourself

Is there any other context you can provide.

Pro tip: Professionals are more likely to answer questions when background and context is given. The more details you provide, the faster and more thorough reply you'll receive.

What is your age?

Are you married, do you own your home.

  • Owned outright
  • Owned with a mortgage

Do you have any children under 18?

  • Yes, 3 or more

What is the approximate value of your cash savings and other investments?

  • $50k - $250k
  • $250k - $1m

Pro tip: A portfolio often becomes more complicated when it has more investable assets. Please answer this question to help us connect you with the right professional.

Would you prefer to work with a financial professional remotely or in-person?

  • I would prefer remote (video call, etc.)
  • I would prefer in-person
  • I don't mind, either are fine

What's your zip code?

  • I'm not in the U.S.

Submit to get your question answered.

A financial professional will be in touch to help you shortly.

strong and weak hypothesis

Part 1: Tell Us More About Yourself

Do you own a business, which activity is most important to you during retirement.

  • Giving back / charity
  • Spending time with family and friends
  • Pursuing hobbies

Part 2: Your Current Nest Egg

Part 3: confidence going into retirement, how comfortable are you with investing.

  • Very comfortable
  • Somewhat comfortable
  • Not comfortable at all

How confident are you in your long term financial plan?

  • Very confident
  • Somewhat confident
  • Not confident / I don't have a plan

What is your risk tolerance?

How much are you saving for retirement each month.

  • None currently
  • Minimal: $50 - $200
  • Steady Saver: $200 - $500
  • Serious Planner: $500 - $1,000
  • Aggressive Saver: $1,000+

How much will you need each month during retirement?

  • Bare Necessities: $1,500 - $2,500
  • Moderate Comfort: $2,500 - $3,500
  • Comfortable Lifestyle: $3,500 - $5,500
  • Affluent Living: $5,500 - $8,000
  • Luxury Lifestyle: $8,000+

Part 4: Getting Your Retirement Ready

What is your current financial priority.

  • Getting out of debt
  • Growing my wealth
  • Protecting my wealth

Do you already work with a financial advisor?

Which of these is most important for your financial advisor to have.

  • Tax planning expertise
  • Investment management expertise
  • Estate planning expertise
  • None of the above

Where should we send your answer?

Submit to get your retirement-readiness report., get in touch with, great the financial professional will get back to you soon., where should we send the downloadable file, great hit “submit” and an advisor will send you the guide shortly., create a free account and ask any financial question, learn at your own pace with our free courses.

Take self-paced courses to master the fundamentals of finance and connect with like-minded individuals.

Get Started

To ensure one vote per person, please include the following info, great thank you for voting., get in touch, submit your info below and someone will get back to you shortly..

SEP home page

  • Table of Contents
  • Random Entry
  • Chronological
  • Editorial Information
  • About the SEP
  • Editorial Board
  • How to Cite the SEP
  • Special Characters
  • Advanced Tools
  • Support the SEP
  • PDFs for SEP Friends
  • Make a Donation
  • SEPIA for Libraries
  • Back to Entry
  • Entry Contents
  • Entry Bibliography
  • Academic Tools
  • Friends PDF Preview
  • Author and Citation Info
  • Back to Top

Supplement to Philosophy of Linguistics

Whorfianism.

Emergentists tend to follow Edward Sapir in taking an interest in interlinguistic and intralinguistic variation. Linguistic anthropologists have explicitly taken up the task of defending a famous claim associated with Sapir that connects linguistic variation to differences in thinking and cognition more generally. The claim is very often referred to as the Sapir-Whorf Hypothesis (though this is a largely infelicitous label, as we shall see).

This topic is closely related to various forms of relativism—epistemological, ontological, conceptual, and moral—and its general outlines are discussed elsewhere in this encyclopedia; see the section on language in the Summer 2015 archived version of the entry on relativism (§3.1). Cultural versions of moral relativism suggest that, given how much cultures differ, what is moral for you might depend on the culture you were brought up in. A somewhat analogous view would suggest that, given how much language structures differ, what is thinkable for you might depend on the language you use. (This is actually a kind of conceptual relativism, but it is generally called linguistic relativism, and we will continue that practice.)

Even a brief skim of the vast literature on the topic is not remotely plausible in this article; and the primary literature is in any case more often polemical than enlightening. It certainly holds no general answer to what science has discovered about the influences of language on thought. Here we offer just a limited discussion of the alleged hypothesis and the rhetoric used in discussing it, the vapid and not so vapid forms it takes, and the prospects for actually devising testable scientific hypotheses about the influence of language on thought.

Whorf himself did not offer a hypothesis. He presented his “new principle of linguistic relativity” (Whorf 1956: 214) as a fact discovered by linguistic analysis:

When linguists became able to examine critically and scientifically a large number of languages of widely different patterns, their base of reference was expanded; they experienced an interruption of phenomena hitherto held universal, and a whole new order of significances came into their ken. It was found that the background linguistic system (in other words, the grammar) of each language is not merely a reproducing instrument for voicing ideas but rather is itself the shaper of ideas, the program and guide for the individual’s mental activity, for his analysis of impressions, for his synthesis of his mental stock in trade. Formulation of ideas is not an independent process, strictly rational in the old sense, but is part of a particular grammar, and differs, from slightly to greatly, between different grammars. We dissect nature along lines laid down by our native languages. The categories and types that we isolate from the world of phenomena we do not find there because they stare every observer in the face; on the contrary, the world is presented in a kaleidoscopic flux of impressions which has to be organized by our minds—and this means largely by the linguistic systems in our minds. We cut nature up, organize it into concepts, and ascribe significances as we do, largely because we are parties to an agreement to organize it in this way—an agreement that holds throughout our speech community and is codified in the patterns of our language. The agreement is, of course, an implicit and unstated one, but its terms are absolutely obligatory ; we cannot talk at all except by subscribing to the organization and classification of data which the agreement decrees. (Whorf 1956: 212–214; emphasis in original)

Later, Whorf’s speculations about the “sensuously and operationally different” character of different snow types for “an Eskimo” (Whorf 1956: 216) developed into a familiar journalistic meme about the Inuit having dozens or scores or hundreds of words for snow; but few who repeat that urban legend recall Whorf’s emphasis on its being grammar, rather than lexicon, that cuts up and organizes nature for us.

In an article written in 1937, posthumously published in an academic journal (Whorf 1956: 87–101), Whorf clarifies what is most important about the effects of language on thought and world-view. He distinguishes ‘phenotypes’, which are overt grammatical categories typically indicated by morphemic markers, from what he called ‘cryptotypes’, which are covert grammatical categories, marked only implicitly by distributional patterns in a language that are not immediately apparent. In English, the past tense would be an example of a phenotype (it is marked by the - ed suffix in all regular verbs). Gender in personal names and common nouns would be an example of a cryptotype, not systematically marked by anything. In a cryptotype, “class membership of the word is not apparent until there is a question of using it or referring to it in one of these special types of sentence, and then we find that this word belongs to a class requiring some sort of distinctive treatment, which may even be the negative treatment of excluding that type of sentence” (p. 89).

Whorf’s point is the familiar one that linguistic structure is comprised, in part, of distributional patterns in language use that are not explicitly marked. What follows from this, according to Whorf, is not that the existing lexemes in a language (like its words for snow) comprise covert linguistic structure, but that patterns shared by word classes constitute linguistic structure. In ‘Language, mind, and reality’ (1942; published posthumously in Theosophist , a magazine published in India for the followers of the 19th-century spiritualist Helena Blavatsky) he wrote:

Because of the systematic, configurative nature of higher mind, the “patternment” aspect of language always overrides and controls the “lexation”…or name-giving aspect. Hence the meanings of specific words are less important than we fondly fancy. Sentences, not words, are the essence of speech, just as equations and functions, and not bare numbers, are the real meat of mathematics. We are all mistaken in our common belief that any word has an “exact meaning.” We have seen that the higher mind deals in symbols that have no fixed reference to anything, but are like blank checks, to be filled in as required, that stand for “any value” of a given variable, like …the x , y , z of algebra. (Whorf 1942: 258)

Whorf apparently thought that only personal and proper names have an exact meaning or reference (Whorf 1956: 259).

For Whorf, it was an unquestionable fact that language influences thought to some degree:

Actually, thinking is most mysterious, and by far the greatest light upon it that we have is thrown by the study of language. This study shows that the forms of a person’s thoughts are controlled by inexorable laws of pattern of which he is unconscious. These patterns are the unperceived intricate systematizations of his own language—shown readily enough by a candid comparison and contrast with other languages, especially those of a different linguistic family. His thinking itself is in a language—in English, in Sanskrit, in Chinese. [footnote omitted] And every language is a vast pattern-system, different from others, in which are culturally ordained the forms and categories by which the personality not only communicates, but analyzes nature, notices or neglects types of relationship and phenomena, channels his reasoning, and builds the house of his consciousness. (Whorf 1956: 252)

He seems to regard it as necessarily true that language affects thought, given

  • the fact that language must be used in order to think, and
  • the facts about language structure that linguistic analysis discovers.

He also seems to presume that the only structure and logic that thought has is grammatical structure. These views are not the ones that after Whorf’s death came to be known as ‘the Sapir-Whorf Hypothesis’ (a sobriquet due to Hoijer 1954). Nor are they what was called the ‘Whorf thesis’ by Brown and Lenneberg (1954) which was concerned with the relation of obligatory lexical distinctions and thought. Brown and Lenneberg (1954) investigated this question by looking at the relation of color terminology in a language and the classificatory abilities of the speakers of that language. The issue of the relation between obligatory lexical distinctions and thought is at the heart of what is now called ‘the Sapir-Whorf Hypothesis’ or ‘the Whorf Hypothesis’ or ‘Whorfianism’.

1. Banal Whorfianism

No one is going to be impressed with a claim that some aspect of your language may affect how you think in some way or other; that is neither a philosophical thesis nor a psychological hypothesis. So it is appropriate to set aside entirely the kind of so-called hypotheses that Steven Pinker presents in The Stuff of Thought (2007: 126–128) as “five banal versions of the Whorfian hypothesis”:

  • “Language affects thought because we get much of our knowledge through reading and conversation.”
  • “A sentence can frame an event, affecting the way people construe it.”
  • “The stock of words in a language reflects the kinds of things its speakers deal with in their lives and hence think about.”
  • “[I]f one uses the word language in a loose way to refer to meanings,… then language is thought.”
  • “When people think about an entity, among the many attributes they can think about is its name.”

These are just truisms, unrelated to any serious issue about linguistic relativism.

We should also set aside some methodological versions of linguistic relativism discussed in anthropology. It may be excellent advice to a budding anthropologist to be aware of linguistic diversity, and to be on the lookout for ways in which your language may affect your judgment of other cultures; but such advice does not constitute a hypothesis.

2. The so-called Sapir-Whorf hypothesis

The term “Sapir-Whorf Hypothesis” was coined by Harry Hoijer in his contribution (Hoijer 1954) to a conference on the work of Benjamin Lee Whorf in 1953. But anyone looking in Hoijer’s paper for a clear statement of the hypothesis will look in vain. Curiously, despite his stated intent “to review and clarify the Sapir-Whorf hypothesis” (1954: 93), Hoijer did not even attempt to state it. The closest he came was this:

The central idea of the Sapir-Whorf hypothesis is that language functions, not simply as a device for reporting experience, but also, and more significantly, as a way of defining experience for its speakers.

The claim that “language functions…as a way of defining experience” appears to be offered as a kind of vague metaphysical insight rather than either a statement of linguistic relativism or a testable hypothesis.

And if Hoijer seriously meant that what qualitative experiences a speaker can have are constituted by that speaker’s language, then surely the claim is false. There is no reason to doubt that non-linguistic sentient creatures like cats can experience (for example) pain or heat or hunger, so having a language is not a necessary condition for having experiences. And it is surely not sufficient either: a robot with a sophisticated natural language processing capacity could be designed without the capacity for conscious experience.

In short, it is a mystery what Hoijer meant by his “central idea”.

Vague remarks of the same loosely metaphysical sort have continued to be a feature of the literature down to the present. The statements made in some recent papers, even in respected refereed journals, contain non-sequiturs echoing some of the remarks of Sapir, Whorf, and Hoijer. And they come from both sides of the debate.

3. Anti-Whorfian rhetoric

Lila Gleitman is an Essentialist on the other side of the contemporary debate: she is against linguistic relativism, and against the broadly Whorfian work of Stephen Levinson’s group at the Max Planck Institute for Psycholinguistics. In the context of criticizing a particular research design, Li and Gleitman (2002) quote Whorf’s claim that “language is the factor that limits free plasticity and rigidifies channels of development”. But in the claim cited, Whorf seems to be talking about the psychological topic that holds universally of human conceptual development, not claiming that linguistic relativism is true.

Li and Gleitman then claim (p. 266) that such (Whorfian) views “have diminished considerably in academic favor” in part because of “the universalist position of Chomskian linguistics, with its potential for explaining the striking similarity of language learning in children all over the world.” But there is no clear conflict or even a conceptual connection between Whorf’s views about language placing limits on developmental plasticity, and Chomsky’s thesis of an innate universal architecture for syntax. In short, there is no reason why Chomsky’s I-languages could not be innately constrained, but (once acquired) cognitively and developmentally constraining.

For example, the supposedly deep linguistic universal of ‘recursion’ (Hauser et al. 2002) is surely quite independent of whether the inventory of colour-name lexemes in your language influences the speed with which you can discriminate between color chips. And conversely, universal tendencies in color naming across languages (Kay and Regier 2006) do not show that color-naming differences among languages are without effect on categorical perception (Thierry et al. 2009).

4. Strong and weak Whorfianism

One of the first linguists to defend a general form of universalism against linguistic relativism, thus presupposing that they conflict, was Julia Penn (1972). She was also an early popularizer of the distinction between ‘strong’ and ‘weak’ formulations of the Sapir-Whorf Hypothesis (and an opponent of the ‘strong’ version).

‘Weak’ versions of Whorfianism state that language influences or defeasibly shapes thought. ‘Strong’ versions state that language determines thought, or fixes it in some way. The weak versions are commonly dismissed as banal (because of course there must be some influence), and the stronger versions as implausible.

The weak versions are considered banal because they are not adequately formulated as testable hypotheses that could conflict with relevant evidence about language and thought.

Why would the strong versions be thought implausible? For a language to make us think in a particular way, it might seem that it must at least temporarily prevent us from thinking in other ways, and thus make some thoughts not only inexpressible but unthinkable. If this were true, then strong Whorfianism would conflict with the Katzian effability claim. There would be thoughts that a person couldn’t think because of the language(s) they speak.

Some are fascinated by the idea that there are inaccessible thoughts; and the notion that learning a new language gives access to entirely new thoughts and concepts seems to be a staple of popular writing about the virtues of learning languages. But many scientists and philosophers intuitively rebel against violations of effability: thinking about concepts that no one has yet named is part of their job description.

The resolution lies in seeing that the language could affect certain aspects of our cognitive functioning without making certain thoughts unthinkable for us .

For example, Greek has separate terms for what we call light blue and dark blue, and no word meaning what ‘blue’ means in English: Greek forces a choice on this distinction. Experiments have shown (Thierry et al. 2009) that native speakers of Greek react faster when categorizing light blue and dark blue color chips—apparently a genuine effect of language on thought. But that does not make English speakers blind to the distinction, or imply that Greek speakers cannot grasp the idea of a hue falling somewhere between green and violet in the spectrum.

There is no general or global ineffability problem. There is, though, a peculiar aspect of strong Whorfian claims, giving them a local analog of ineffability: the content of such a claim cannot be expressed in any language it is true of . This does not make the claims self-undermining (as with the standard objections to relativism); it doesn’t even mean that they are untestable. They are somewhat anomalous, but nothing follows concerning the speakers of the language in question (except that they cannot state the hypothesis using the basic vocabulary and grammar that they ordinarily use).

If there were a true hypothesis about the limits that basic English vocabulary and constructions puts on what English speakers can think, the hypothesis would turn out to be inexpressible in English, using basic vocabulary and the usual repertoire of constructions. That might mean it would be hard for us to discuss it in an article in English unless we used terminological innovations or syntactic workarounds. But that doesn’t imply anything about English speakers’ ability to grasp concepts, or to develop new ways of expressing them by coining new words or elaborated syntax.

5. Constructing and evaluating Whorfian hypotheses

A number of considerations are relevant to formulating, testing, and evaluating Whorfian hypotheses.

Genuine hypotheses about the effects of language on thought will always have a duality: there will be a linguistic part and a non-linguistic one. The linguistic part will involve a claim that some feature is present in one language but absent in another.

Whorf himself saw that it was only obligatory features of languages that established “mental patterns” or “habitual thought” (Whorf 1956: 139), since if it were optional then the speaker could optionally do it one way or do it the other way. And so this would not be a case of “constraining the conceptual structure”. So we will likewise restrict our attention to obligatory features here.

Examples of relevant obligatory features would include lexical distinctions like the light vs. dark blue forced choice in Greek, or the forced choice between “in (fitting tightly)” vs. “in (fitting loosely)” in Korean. They also include grammatical distinctions like the forced choice in Spanish 2nd-person pronouns between informal/intimate and formal/distant (informal tú vs. formal usted in the singular; informal vosotros vs. formal ustedes in the plural), or the forced choice in Tamil 1st-person plural pronouns between inclusive (“we = me and you and perhaps others”) and exclusive (“we = me and others not including you”).

The non-linguistic part of a Whorfian hypothesis will contrast the psychological effects that habitually using the two languages has on their speakers. For example, one might conjecture that the habitual use of Spanish induces its speakers to be sensitive to the formal and informal character of the speaker’s relationship with their interlocutor while habitually using English does not.

So testing Whorfian hypotheses requires testing two independent hypotheses with the appropriate kinds of data. In consequence, evaluating them requires the expertise of both linguistics and psychology, and is a multidisciplinary enterprise. Clearly, the linguistic hypothesis may hold up where the psychological hypothesis does not, or conversely.

In addition, if linguists discovered that some linguistic feature was optional in two different languages, then even if psychological experiments showed differences between the two populations of speakers, this would not show linguistic determination or influence. The cognitive differences might depend on (say) cultural differences.

A further important consideration concerns the strength of the inducement relationship that a Whorfian hypothesis posits between a speaker’s language and their non-linguistic capacities. The claim that your language shapes or influences your cognition is quite different from the claim that your language makes certain kinds of cognition impossible (or obligatory) for you. The strength of any Whorfian hypothesis will vary depending on the kind of relationship being claimed, and the ease of revisability of that relation.

A testable Whorfian hypothesis will have a schematic form something like this:

  • Linguistic part : Feature F is obligatory in L 1 but optional in L 2 .
  • Psychological part : Speaking a language with obligatory feature F bears relation R to the cognitive effect C .

The relation R might in principle be causation or determination, but it is important to see that it might merely be correlation, or slight favoring; and the non-linguistic cognitive effect C might be readily suppressible or revisable.

Dan Slobin (1996) presents a view that competes with Whorfian hypotheses as standardly understood. He hypothesizes that when the speakers are using their cognitive abilities in the service of a linguistic ability (speaking, writing, translating, etc.), the language they are planning to use to express their thought will have a temporary online effect on how they express their thought. The claim is that as long as language users are thinking in order to frame their speech or writing or translation in some language, the mandatory features of that language will influence the way they think.

On Slobin’s view, these effects quickly attenuate as soon as the activity of thinking for speaking ends. For example, if a speaker is thinking for writing in Spanish, then Slobin’s hypothesis would predict that given the obligatory formal/informal 2nd-person pronoun distinction they would pay greater attention to the formal/informal character of their social relationships with their audience than if they were writing in English. But this effect is not permanent. As soon as they stop thinking for speaking, the effect of Spanish on their thought ends.

Slobin’s non-Whorfian linguistic relativist hypothesis raises the importance of psychological research on bilinguals or people who currently use two or more languages with a native or near-native facility. This is because one clear way to test Slobin-like hypotheses relative to Whorfian hypotheses would be to find out whether language correlated non-linguistic cognitive differences between speakers hold for bilinguals only when are thinking for speaking in one language, but not when they are thinking for speaking in some other language. If the relevant cognitive differences appeared and disappeared depending on which language speakers were planning to express themselves in, it would go some way to vindicate Slobin-like hypotheses over more traditional Whorfian Hypotheses. Of course, one could alternately accept a broadening of Whorfian hypotheses to include Slobin-like evanescent effects. Either way, attention must be paid to the persistence and revisability of the linguistic effects.

Kousta et al. (2008) shows that “for bilinguals there is intraspeaker relativity in semantic representations and, therefore, [grammatical] gender does not have a conceptual, non-linguistic effect” (843). Grammatical gender is obligatory in the languages in which it occurs and has been claimed by Whorfians to have persistent and enduring non-linguistic effects on representations of objects (Boroditsky et al. 2003). However, Kousta et al. supports the claim that bilinguals’ semantic representations vary depending on which language they are using, and thus have transient effects. This suggests that although some semantic representations of objects may vary from language to language, their non-linguistic cognitive effects are transitory.

Some advocates of Whorfianism have held that if Whorfian hypotheses were true, then meaning would be globally and radically indeterminate. Thus, the truth of Whorfian hypotheses is equated with global linguistic relativism—a well known self-undermining form of relativism. But as we have seen, not all Whorfian hypotheses are global hypotheses: they are about what is induced by particular linguistic features. And the associated non-linguistic perceptual and cognitive differences can be quite small, perhaps insignificant. For example, Thierry et al. (2009) provides evidence that an obligatory lexical distinction between light and dark blue affects Greek speakers’ color perception in the left hemisphere only. And the question of the degree to which this affects sensuous experience is not addressed.

The fact that Whorfian hypotheses need not be global linguistic relativist hypotheses means that they do not conflict with the claim that there are language universals. Structuralists of the first half of the 20th century tended to disfavor the idea of universals: Martin Joos’s characterization of structuralist linguistics as claiming that “languages can differ without limit as to either extent or direction” (Joos 1966, 228) has been much quoted in this connection. If the claim that languages can vary without limit were conjoined with the claim that languages have significant and permanent effects on the concepts and worldview of their speakers, a truly profound global linguistic relativism would result. But neither conjunct should be accepted. Joos’s remark is regarded by nearly all linguists today as overstated (and merely a caricature of the structuralists), and Whorfian hypotheses do not have to take a global or deterministic form.

John Lucy, a conscientious and conservative researcher of Whorfian hypotheses, has remarked:

We still know little about the connections between particular language patterns and mental life—let alone how they operate or how significant they are…a mere handful of empirical studies address the linguistic relativity proposal directly and nearly all are conceptually flawed. (Lucy 1996, 37)

Although further empirical studies on Whorfian hypotheses have been completed since Lucy published his 1996 review article, it is hard to find any that have satisfied the criteria of:

  • adequately utilizing both the relevant linguistic and psychological research,
  • focusing on obligatory rather than optional linguistic features,
  • stating hypotheses in a clear testable way, and
  • ruling out relevant competing Slobin-like hypotheses.

There is much important work yet to be done on testing the range of Whorfian hypotheses and other forms of linguistic conceptual relativism, and on understanding the significance of any Whorfian hypotheses that turn out to be well supported.

Copyright © 2024 by Barbara C. Scholz Francis Jeffry Pelletier < francisp @ ualberta . ca > Geoffrey K. Pullum < pullum @ gmail . com > Ryan Nefdt < ryan . nefdt @ uct . ac . za >

  • Accessibility

Support SEP

Mirror sites.

View this site from another server:

  • Info about mirror sites

The Stanford Encyclopedia of Philosophy is copyright © 2024 by The Metaphysics Research Lab , Department of Philosophy, Stanford University

Library of Congress Catalog Data: ISSN 1095-5054

Stack Exchange Network

Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Q&A for work

Connect and share knowledge within a single location that is structured and easy to search.

What exactly is the difference between weak and strong induction?

I am having trouble seeing the difference between weak and strong induction.

There are a few examples in which we can see the difference, such as reaching the $k^{th}$ rung of a ladder and proving every integer $>1$ can be written as a product of primes:

To show every $n\ge2$ can be written as a product of primes, first we note that $2$ is prime. Now we assume true for all integers $2 \le m<n$ . If $n$ is prime, we're done. If $n$ is not prime, then it is composite and so $n=ab$ , where $a$ and $b$ are less than $n$ . Since $a$ and $b$ are less than $n$ , $ab$ can be written as a product of primes and hence $n$ can be written as a product of primes. QED

However, it seems sort of like weak induction, only a bit dubious. In weak induction, we show a base case is true, then we assume true for all integers $k-1$ , (or $k$ ), then we attempt to show it is true for $k$ , (or $k+1$ ), which implies true $\forall n \in \mathbb N$ .

When we assume true for all integers $k$ , isn't that the same as a strong induction hypothesis? That is, we're assuming true for all integers up to some specific one.

As a simple demonstrative example, how would we show $1+2+\cdots+n= {n(n+1) \over 2}$ using strong induction?

(Learned from Discrete Mathematics by Kenneth Rosen)

  • discrete-mathematics
  • proof-writing

user5826's user avatar

  • 1 $\begingroup$ I know my answer is very long, but I tried to make it as clear as possible, along with clear subject headings. Simply skip around to whichever "section" helps you the most (from reading your question, it may help most to first see my explanation of the prime number proof and then read everything else). Cheers. $\endgroup$ –  Daniel W. Farlow Commented Mar 11, 2015 at 3:18
  • 1 $\begingroup$ There have been a lot of questions already answered about strong vs. weak induction, but it's a subtle topic so even subtle differences in questions matter. Some possibly (but different!) questions are Equivalence of strong and weak induction and When to use weak, strong, or structural induction? In addition, this answer to another question may be useful. $\endgroup$ –  David K Commented Mar 11, 2015 at 3:40

2 Answers 2

Initial remarks: Good question. I think it deserves a full response (warning: this is going to be a long, but hopefully very clear, answer). First, most students do not really understand why mathematical induction is a valid proof technique . That's part of the problem. Second, weak induction and strong induction are actually logically equivalent; thus, differentiating between these forms of induction may seem a little bit difficult at first. The important thing to do is to understand how weak and strong induction are stated and to clearly understand the differences therein (I disagree with the previous answer that it is "just a matter of semantics"; it's not, and I will explain why). Much of what I will have to say is adapted from David Gunderson's wonderful book Handbook of Mathematical Induction , but I have expanded and tweaked a few things where I saw fit. That being said, hopefully you will find the rest of this answer to be informative.

Gunderson remark about strong induction: While attempting an inductive proof, in the inductive step one often needs only the truth of $S(n)$ to prove $S(n+1)$; sometimes a little more "power" is needed (such as in the proof that any positive integer $n\geq 2$ is a product of primes--we'll explore why more power is needed in a moment), and often this is made possible by strengthening the inductive hypothesis.

Kenneth Rosen remark in Discrete Mathematics and Its Applications Study Guide : Understanding and constructing proofs by mathematical induction are extremely difficult tasks for most students. Do not be discouraged, and do not give up, because, without doubt, this proof technique is the most important one there is in mathematics and computer science. Pay careful attention to the conventions to be observed in writing down a proof by induction. As with all proofs, remember that a proof by mathematical induction is like an essay--it must have a beginning, a middle, and an end; it must consist of complete sentences, logically and aesthetically arranged; and it must convince the reader. Be sure that your basis step (also called the "base case") is correct (that you have verified the proposition in question for the smallest value or values of $n$), and be sure that your inductive step is correct and complete (that you have derived the proposition for $k+1$, assuming the inductive hypothesis that proposition is true for $k$--or the slightly strong hypothesis that it is true for all values less than or equal to $k$, when using strong induction.

Statement of weak induction: Let $S(n)$ denote a statement regarding an integer $n$, and let $k\in\mathbb{Z}$ be fixed. If

  • (i) $S(k)$ holds, and
  • (ii) for every $m\geq k, S(m)\to S(m+1)$,

then for every $n\geq k$, the statement $S(n)$ holds.

Statement of strong induction: Let $S(n)$ denote a statement regarding an integer $n$. If

  • (i) $S(k)$ is true and
  • (ii) for every $m\geq k, [S(k)\land S(k+1)\land\cdots\land S(m)]\to S(m+1)$,

then for every $n\geq k$, the statement $S(n)$ is true.

Proof of strong induction from weak: Assume that for some $k$, the statement $S(k)$ is true and for every $m\geq k, [S(k)\land S(k+1)\land\cdot\land S(m)]\to S(m+1)$. Let $B$ be the set of all $n>m$ for which $S(n)$ is false. If $B\neq\varnothing, B\subset\mathbb{N}$ and so by well-ordering, $B$ has a least element, say $\ell$. By the definition of $B$, for every $k\leq t<\ell, S(t)$ is true. The premise of the inductive hypothesis is true, and so $S(\ell)$ is true, contradicting that $\ell\in B$. Hence $B=\varnothing$. $\blacksquare$

Proof of weak induction from strong: Assume that strong induction holds (in particular, for $k=1$). That is, assume that if $S(1)$ is true and for every $m\geq 1, [S(1)\land S(2)\land\cdots\land S(m)]\to S(m+1)$, then for every $n\geq 1, S(n)$ is true.

Observe (by truth tables, if desired), that for $m+1$ statements $p_i$, $$ [p_1\to p_2]\land[p_2\to p_3]\land\cdots\land[p_m\to p_{m+1}]\Rightarrow[(p_1\land p_2\land\cdots\land p_m)\to p_{m+1}],\tag{$\dagger$} $$ itself a result provable by induction (see end of answer for such a proof).

Assume that the hypotheses of weak induction are true, that is, that $S(1)$ is true, and that for arbitrary $t, S(t)\to S(t+1)$. By repeated application of these recent assumptions, $S(1)\to S(2), S(2)\to S(3),\ldots, S(m)\to S(m+1)$ each hold. By the above observation, then $$ [S(1)\land S(2)\land\cdots\land S(m)]\to S(m+1). $$ Thus the hypotheses of strong induction are complete, and so one concludes that for every $n\geq 1$, the statement $S(n)$ is true, the consequence desired to complete the proof of weak induction. $\blacksquare$

Proving any positive integer $n\geq 2$ is a product of primes using strong induction: Let $S(n)$ be the statement "$n$ is a product of primes."

Base step ($n=2$): Since $n=2$ is trivially a product of primes (actually one prime, really), $S(2)$ is true.

Inductive step: Fix some $m\geq 2$, and assume that for every $t$ satisfying $2\leq t\leq m$, the statement $S(t)$ is true. To be shown is that $$ S(m+1) : m+1 \text{ is a product of primes}, $$ is true. If $m+1$ is a prime, then $S(m+1)$ is true. If $m+1$ is not prime, then there exist $r$ and $s$ with $2\leq r\leq m$ and $2\leq s\leq m$ so that $m+1=rs$. Since $S(r)$ is assumed to be true, $r$ is a product of primes [ note: This is where it is imperative that we use strong induction; using weak induction, we cannot assume $S(r)$ is true]; similarly, by $S(s), s$ is a product of primes. Hence $m+1=rs$ is a product of primes, and so $S(m+1)$ holds. Thus, in either case, $S(m+1)$ holds, completing the inductive step.

By mathematical induction, for all $n\geq 2$, the statement $S(n)$ is true. $\blacksquare$

Proof of $1+2+3+\cdots+n = \frac{n(n+1)}{2}$ by strong induction: Using strong induction here is completely unnecessary, for you do not need it at all, and it is only likely to confuse people as to why you are using it. It will proceed just like a proof by weak induction, but the assumption at the outset will look different; nonetheless, just to show what I am talking about, I will prove it using strong induction.

Let $S(n)$ denote the proposition $$ S(n) : 1+2+3+\cdots+n = \frac{n(n+1)}{2}. $$

Base step ($n=1$): $S(1)$ is true because $1=\frac{1(1+1)}{2}$.

Inductive step: Fix some $k\geq 1$, and assume that for every $t$ satisfying $1\leq t\leq k$, the statement $S(t)$ is true. To be shown is that $$ S(k+1) : 1+2+3+\cdots+k+(k+1)=\frac{(k+1)(k+2)}{2} $$ follows. Beginning with the left-hand side of $S(k+1)$, \begin{align} \text{LHS} &= 1+2+3+\cdots+k+(k+1)\tag{by definition}\\[1em] &= (1+2+3+\cdots+k)+(k+1)\tag{group terms}\\[1em] &= \frac{k(k+1)}{2}+(k+1)\tag{by $S(k)$}\\[1em] &= (k+1)\left(\frac{k}{2}+1\right)\tag{factor out $k+1$}\\[1em] &= (k+1)\left(\frac{k+2}{2}\right)\tag{common denominator}\\[1em] &= \frac{(k+1)(k+2)}{2}\tag{desired expression}\\[1em] &= \text{RHS}, \end{align} we obtain the right-hand side of $S(k+1)$.

By mathematical induction, for all $n\geq 1$, the statement $S(n)$ is true. $\blacksquare$

$\color{red}{\text{Comment:}}$ See how this was really no different than how a proof by weak induction would work? The only thing different is really an unnecessary assumption made at the beginning of the proof. However, in your prime number proof, strong induction is essential; otherwise, we cannot assume $S(r)$ or $S(s)$ to be true. Here, any assumption regarding $t$ where $1\leq t\leq k$ is really useless because we don't actually use it anywhere in the proof, whereas we did use the assumptions $S(r)$ and $S(s)$ in the prime number proof, where $1\leq t\leq m$, because $r,s < m$. Does it now make sense why it was necessary to use strong induction in the prime number proof?

Proof of $(\dagger)$ by induction: For statements $p_1,\ldots,p_{m+1}$, we have that $$ [p_1\to p_2]\land[p_2\to p_3]\land\cdots\land[p_m\to p_{m+1}]\Rightarrow[(p_1\land p_2\land\cdots\land p_m)\to p_{m+1}]. $$

Proof. For each $m\in\mathbb{Z^+}$, let $S(m)$ be the statement that for $m+1$ statements $p_i$, $$ S(m) : [p_1\to p_2]\land[p_2\to p_3]\land\cdots\land[p_m\to p_{m+1}]\Rightarrow[(p_1\land p_2\land\cdots\land p_m)\to p_{m+1}]. $$ Base step: The statement $S(1)$ says $$ [p_1\to p_2]\Rightarrow [(p_1\land p_2)\to p_2], $$ which is true (since the right side is a tautology).

Inductive step: Fix $k\geq 1$, and assume that for any statements $q_1,\ldots,q_{k+1}$, both $$ S(1) : [q_1\to q_2]\Rightarrow [(q_1\land q_2)\to q_2] $$ and $$ S(k) : [q_1\to q_2]\land[q_2\to q_3]\land\cdots\land[q_k\to q_{k+1}]\Rightarrow[(q_1\land q_2\land\cdots\land q_k)\to q_{k+1}]. $$ hold. It remains to show that for any statements $p_1,p_2,\ldots,p_k,p_{k+1},p_{k+2}$ that $$ S(k+1) : [p_1\to p_2]\land[p_2\to p_3]\land\cdots\land[p_{k+1}\to p_{k+2}]\Rightarrow[(p_1\land p_2\land\cdots\land p_{k+1})\to p_{k+2}] $$ follows. Beginning with the left-hand side of $S(k+1)$, \begin{align} \text{LHS} &\equiv [p_1\to p_2]\land\cdots\land[p_{k+1}\to p_{k+2}]\land[p_{k+1}\to p_{k+2}]\\[0.5em] &\Downarrow\qquad \text{(definition of conjunction)}\\[0.5em] &[[p_1\to p_2]\land[p_2\to p_3]\land\cdots\land[p_{k+1}\to p_{k+2}]]\land[p_{k+1}\to p_{k+2}]\\[0.5em] &\Downarrow\qquad \text{(by $S(k)$ with each $q_i = p_i$)}\\[0.5em] &[(p_1\land p_2\land\cdots\land p_k)\to p_{k+1}]\land[p_{k+1}\to p_{k+2}]\\[0.5em] &\Downarrow\qquad \text{(by $S(1)$ with $q_1=p_1\land\cdots\land p_k)$ and $q_2=p_{k+1}$)}\\[0.5em] &[[(p_1\land p_2\land\cdots\land p_k)\land p_{k+1}]\to p_{k+1}]\land [p_{k+1}\to p_{k+2}]\\[0.5em] &\Downarrow\qquad \text{(by definition of conjunction)}\\[0.5em] &[(p_1\land p_2\land\cdots\land p_k\land p_{k+1}]\to p_{k+1}]\land [p_{k+1}\to p_{k+2}]\\[0.5em] &\Downarrow\qquad \text{(since $a\land b\to b$ with $b=[p_{k+1}\to p_{k+2}]$)}\\[0.5em] &[(p_1\land p_2\land\cdots\land p_k\land p_{k+1})\to p_{k+2}]\land[p_{k+1}\to p_{k+2}]\\[0.5em] &\Downarrow\qquad \text{(since $a\land b\to a$)}\\[0.5em] &(p_1\land p_2\land\cdots\land p_k\land p_{k+1})\to p_{k+2}\\[0.5em] &\equiv \text{RHS}, \end{align} we obtain the right-hand side of $S(k+1)$, which completes the inductive step.

By mathematical induction, for each $n\geq 1, S(n)$ holds. $\blacksquare$

Community's user avatar

  • 8 $\begingroup$ This has to be one of the longest answers I've seen. Bravo. $\endgroup$ –  Cameron Williams Commented Mar 11, 2015 at 3:10
  • 13 $\begingroup$ @CameronWilliams Thanks. My real hope here is that people not on MSE (as well as those on it, of course) will actually stumble across this answer so as to help them in understanding what the difference is between weak and strong induction. I thought a detailed analysis was in order. Here's hoping many people will find this answer helpful! $\endgroup$ –  Daniel W. Farlow Commented Mar 11, 2015 at 3:12
  • 1 $\begingroup$ That's a good mentality. :) $\endgroup$ –  Cameron Williams Commented Mar 11, 2015 at 3:15
  • $\begingroup$ Your proofs of induction look fishy. E.g. in second proof you assumed [S(1)∧S(2)∧⋯∧S(m)]→S(m+1) and then proved [S(1)∧S(2)∧⋯∧S(m)]→S(m+1). That certainly valid but it does not make sense in a context. $\endgroup$ –  Trismegistos Commented Mar 11, 2015 at 16:55
  • 2 $\begingroup$ Unfortunately all these plausible and intuitive explanations are technically false. What is worse, it is not only taught at freshman year, but also popular belief in mathematical community. For "equivalence of the statements" to be meaningful at all, there have to be concrete theory fixed. In first order Peano arithmetic there is no equivalence between any of: weak induction, strong induction, or well ordering. To "prove" each other one needs more strength by adding part of ZF, or second order PA. So whatever is understood by such vague "equivalence" is surely not "logical equivalence". $\endgroup$ –  Przemek Commented Nov 17, 2020 at 16:30

Usually, there is no need to distinguish between weak and strong induction. As you point out, the difference is minor. In both weak and strong induction, you must prove the base case (usually very easy if not trivial). Then, weak induction assumes that the statement is true for size $n-1$ and you must prove that the statement is true for $n$. Using strong induction, you assume that the statement is true for all $m<n$ (at least your base case) and prove the statement for $n$.

In practice, one may just always use strong induction (even if you only need to know that the statement is true for $n-1$). In the example that you give, you only need to assume that the formula holds for the previous case (weak) induction. You could assume it holds for every case, but only use the previous case. As far as I can tell, it is really just a matter of semantics. There are times when strong induction really is more useful, the case when you break up the problem into two problem of size $n/2$ for example. This happens frequently when making proofs about graphs where you decompose the graph on $n$ vertices into two subgraphs (smaller, but you have little or no control over the exact size).

TravisJ's user avatar

  • 1 $\begingroup$ Also, we can always just use weak induction, and change the induction hypothesis as needed. For example, our new hypothesis $H(n)$ might be "the property I am interested in holds for every number less than $n$". Then we can try to prove that $H(n)$ holds for all $n$ by weak induction, which is the same as proving they have the property we are really interested in by strong induction. For this reason, the difference between weak and strong induction is entirely an illusion. $\endgroup$ –  Carl Mummert Commented Mar 10, 2016 at 12:03

You must log in to answer this question.

Not the answer you're looking for browse other questions tagged discrete-mathematics logic proof-writing induction definition ..

  • Featured on Meta
  • Upcoming initiatives on Stack Overflow and across the Stack Exchange network...
  • Announcing a change to the data-dump process
  • Upcoming Moderator Election

Hot Network Questions

  • How do I drop a database which has brackets in its name?
  • Is this 1-line proof of Cayley–Hamilton incomplete?
  • How to calculate baker's percentages for indirect doughs?
  • How can life which cannot live on the surface of a planet naturally reach the supermajority of the planet's caves?
  • How to remove package with dependencies in APT?
  • What are the bonding and grounding requirements for my heavy-up and new panel?
  • What is the best way of carrying currency while travelling to Singapore?
  • Is it ethical for a PI of a collaborating PhD student to be part of my publication, even if he hasn't contributed anything?
  • Who wrote the book of Job?
  • Why is my internet speed slowing by 10x when using this coax cable and splitter setup?
  • Has Donald Trump or his campaign explained what his plan is so that "we’ll have it fixed so good you’re not gonna have to vote"?
  • Can Victorian engineers build spacecraft with an Epstein drive?
  • Can one be restricted from carrying a gun on the metro in New York city?
  • With FlixBus, do I have to get on at the exact stop my ticket specifies if there are multiple stops in the same city?
  • Doesn't our awareness of qualia imply the brain is non-deterministic?
  • While loop filtering out user input using not if statements and indexes of lists
  • Confusion of the Proof of Goldstone Theorem in QFT
  • Can there be Bal Tosif with regards to Ketores?
  • Serre’s comment on Hurwitz: connecting FLT to points of finite order on elliptic curves
  • What can a time traveler use to generate an encryption key to encrypt information so it's only decryptable after a given time period
  • Former manager and team keep reaching out with questions despite transferring to a new team
  • Is this sample LSAT question / answer based in fallacy?
  • Does Academy Manufactor's ability trigger on creatures that "are Food artifacts in addition to their other types"?
  • How to estimate temperature based on known points in a map?

strong and weak hypothesis

Adam Becker

Author and astrophysicist, weak forms and strong forms.

For Cameron Neylon, because he kept asking me for this…

The Sapir-Whorf hypothesis 1 states that language affects thought — how we speak influences how we think. Or, at least, that’s one form of the hypothesis, the weak form. The strong form of Sapir-Whorf says that language determines thought, that how we speak forms a hard boundary on how and what we think. The weak form of Sapir-Whorf says that we drive an ATV across the terrain of thought; language can smooth the path in some areas and create rocks and roadblocks in others, but it doesn’t fundamentally limit where we can go. The strong form, in contrast, says we drive a steam train of thought, and language lays down the rails. There’s an intricate maze of forks and switchbacks spanning the continent, but at the end of the day we can only go where the rails will take us — we can’t lay down new track, no matter how we might try.

Most linguists today accept that some form of the weak Sapir-Whorf hypothesis must be true: the language(s) we speak definitely affect how we think and act. But most linguists also accept that the strong Sapir-Whorf hypothesis can’t be true, just as a matter of empirical fact. New words are developed, new concepts formed, new trails blazed on the terrain of thought. Some tasks may be easier or harder depending on whether your language is particularly suited for them — though even this is in dispute . But it’s simply not the case that we can’t think about things if we don’t have the words for them, nor that language actually determines our thought. In short, while the weak form of Sapir-Whorf is probably correct, the strong form is wrong. And this makes some sense: it certainly seems like language affects our thoughts, but it doesn’t seem like language wholly determines our thoughts.

But the Sapir-Whorf hypothesis isn’t the only theory with strong and weak forms — in fact, there’s a whole pattern of theories like this, and associated rhetorical dangers that go along with them. The pattern looks like this:

  • Start with a general theoretical statement about the world, where…
  • …there are two forms, a weak form and a strong form, and…
  • …the weak form is obviously true — how could it not be? — and…
  • …the strong form is obviously false, or at least much more controversial. Then, the rhetorical danger rears its head, and…
  • …arguments for the (true) weak form are appropriated, unmodified or nearly so, as arguments for the strong form by the proponents of the latter. (You also sometimes see this in reverse: people who are eager to deny the strong form rejecting valid arguments for the weak form.)

I don’t know why (5) happens, but I suspect (with little to no proof) that this confusion stems from rejection of a naive view of the world. Say you start with a cartoonishly simple picture of some phenomenon — for example, say you believe that thought isn’t affected by language in any way at all. Then you hear (good!) arguments for the weak form of the Sapir-Whorf hypothesis, which shows this cartoon picture is too simple to capture reality. With your anchor line to your old idea cut, you veer to the strong form of Sapir-Whorf. Then, later, when arguing for your new view, you use the same arguments that convinced you your old naive idea was false — namely, arguments for the weak form. (This also suggests that when (5) happens in reverse, this is founded in the same basic confusion: people defend themselves from the strong form by attacking the weak form because they would feel unmoored from their (naive) views if the weak form were true.) But why this happens is all speculation on my part. All I know for sure is that it does happen.

Cultural relativism about scientific truth is another good example. The two forms look something like this:

Weak form : Human factors like culture, history, and economics influence the practice of science, and thereby the content of our scientific theories.

Strong form : Human factors like culture, history, and economics wholly determine the content of our scientific theories.

It’s hard to see how the weak form could be wrong. Science is a human activity, and like any human activity, it’s affected by culture, economics, history, and other human factors. But the strong form claims that science is totally disconnected from anything like a “real world,” is simply manufactured by a variety of cultural and social forces, and has no special claim to truth. This is just not true. In her excellent book Brain Storm — itself about how the weak form of this thesis has played out in the spurious science of innate gender differences in the development of the human brain — Rebecca Jordan-Young forcefully rejects the strong form of relativism about science, and addresses both directions of the rhetorical confusion that arises from confounding the weak form with the strong:

The fact that science is not, and can never be, a simple mirror of the world also does not imply that science is simply “made up” and is not constrained by material phenomena that actually exist—the material world “pushes back” and exerts its own effects in science, even if we accept the postmodern premise that we humans have no hope of a direct access to that world that is unmediated by our own practices and culturally determined cognitive and linguistic structures. There is no need to dogmatically insist (against all evidence) that science really is objective in order to believe in science as a good and worthwhile endeavor, and even to believe in science as a particularly useful and trustworthy way of learning about the world. 2

Successful scientific theories, in general, must bear some resemblance to the world at large. Indeed, the success of scientific theories in predicting phenomena in the world would be nothing short of a miracle if there were absolutely no resemblance between the content of those theories and the content of the world. 3 That’s not to say that our theories are perfect representations of the world, nor that they are totally unaffected by cultural and political factors: far from it. I’m writing a book right now that’s (partly) about the cultural and historical factors influencing the debate on the foundations of quantum physics. But the content of our scientific theories is certainly not solely determined by human factors. Science is our best attempt to learn about the nature of the world. It’s not perfect. That’s OK.

There are many people, working largely in Continental philosophy and critical theory of various stripes, who advocate the strong form of relativism about science. 4 Yet most of their arguments which are ostensibly in favor of this strong form are actually arguments for the weak form: that culture plays some role in determining the content of our best scientific theories. 5 And that’s simply not the same thing.

Another, much more popular example of a strong and weak form problem is the set of claims around the “power of positive thinking.” The weak form suggests that being more confident and positive can make you happier, healthier, and more successful. This is usually true, and it’s hard to see how it couldn’t be usually true — though there are many specific counterexamples. For example, positive thinking can’t keep your house from being destroyed by a hurricane. Yet the strong form of positive-thinking claims — known as “the law of attraction,” and popularized by The Secret — suggests exactly that. This states that positive thinking, and positive thinking alone, can literally change the world around you for the better, preventing and reversing all bad luck and hardship. 6 Not only is this manifestly untrue, but the logical implications are morally repugnant: if bad things do happen to you, it must be a result of not thinking positively enough . For example, if you have cancer, and it’s resistant to treatment, that must be your fault . While this kind of neo-Calvinist victim-blaming is bad enough, it becomes truly monstrous — and the flaw in the reasoning particularly apparent — when extended from unfortunate individual circumstances to systematically disadvantaged groups. The ultimate responsibility for slavery, colonialism, genocide, and institutionalized bigotry quite obviously does not lie with the victims’ purported inability to wish hard enough for a better world.

In short, easily-confused strong and weak forms of a theory abound. I’m not claiming that this is anything like an original idea. All I’m saying is that some theories come in strong and weak forms, that sometimes the weak forms are obviously true and the strong obviously false, and that in those cases, it’s easy to take rhetorical advantage (deliberately or not) of this confusion. You could argue that the weak form directly implies the strong form in some cases, and maybe it does. But that’s not generally true, and you have to do a lot of work to make that argument — work that often isn’t done.

Again, I strongly suspect other people have come up with this idea. When I’ve talked with people about this, they’ve generally picked it up very quickly and come up with examples I didn’t think of. This seems to be floating around. If someone has a good citation for it, I’d be immensely grateful.

Image credit: Zink Dawg at English Wikipedia , CC-BY 3.0. I was strongly tempted to use this image instead.

  • This is apparently a historical misnomer, but we’ll ignore that for now. [ ↩ ]
  • Rebecca M. Jordan-Young, in Brain Storm: The Flaws in the Science of Sex Differences, Harvard University Press, 2011, pp. 299-300. Emphasis in the original. [ ↩ ]
  • See J.J.C. Smart,  Philosophy and Scientific Realism , and Hilary Putnam,  Mathematics, Matter, and Method . [ ↩ ]
  • Bruno Latour is the first name that comes to mind. [ ↩ ]
  • See, for example, Kuhn, who even seems to have confused himself about whether he was advocating the strong or the weak version. [ ↩ ]
  • The “arguments” in favor of this kind of nonsense take advantage of more than just the confusion between the strong and weak forms of the thesis about positive thinking. They also rely on profound misunderstandings about quantum physics and other perversions of science. But let’s put that aside for now. [ ↩ ]

Share this:

One thought on “ weak forms and strong forms ”.

There’s Occam’s Rusty Razor at work. Weak versions of theories necessitate lots of conditionals. Simpler just to eschew all conditionals. But simplicity itself is a virtue only with lots of subtlety and conditionality. Rusty razors butcher. Eschew Occam’s Rusty Razor.

Comments are closed.

  • Search Search Please fill out this field.

:Strong Form Efficiency: Economic Theory Explained

Daniel Liberto is a journalist with over 10 years of experience working with publications such as the Financial Times, The Independent, and Investors Chronicle.

strong and weak hypothesis

What Is Strong Form Efficiency?

Strong form efficiency is the most stringent version of the efficient market hypothesis (EMH) investment theory, stating that all information in a market , whether public or private, is accounted for in a stock's price.

Practitioners of strong form efficiency believe that even  insider information cannot give an investor an advantage. This degree of  market efficiency  implies that profits exceeding normal returns cannot be realized regardless of the amount of research or information investors have access to.

Key Takeaways

  • Strong form efficiency is the most stringent version of the efficient market hypothesis (EMH) investment theory, stating that all information in a market, whether public or private, is accounted for in a stock's price.
  • This degree of market efficiency implies that profits exceeding normal returns cannot be realized regardless of the amount of research or information investors have access to.
  • Burton G. Malkiel, the man behind strong form efficiency, described earnings estimates, technical analysis, and investment advisory services as “useless”, adding that the best way to maximize returns is by following a buy-and-hold strategy.

Understanding Strong Form Efficiency

Strong form efficiency is a component of the EMH and is considered part of the  random walk theory . It states that the price of securities  and, therefore the overall market, are not random and are influenced by past events.

Strong form efficiency is one of the three different degrees of the EMH, the others being weak and semi-strong efficiency. Each one is based on the same basic theory but varies slightly in terms of stringency.

Strong Form Efficiency vs. Weak Form Efficiency and Semi-Strong Form Efficiency

The weak form efficiency theory , the most lenient of the bunch, argues that stock prices reflect all current information but also concedes that anomalies may be found by researching companies'  financial statements thoroughly.

The  semi-strong form  efficiency theory goes one step further, promoting the idea that all information in the public domain is used in the calculation of a stock's  current price . That means it is impossible for investors to identify undervalued securities and generate higher returns in the market by utilizing either technical or fundamental analysis .

Those who subscribe to this version of the EMH believe that only information that is not readily available to the public can help investors boost their returns to a performance level above that of the general market. The strong form efficiency theory rejects this notion, stating that no information, public or inside information, will benefit an investor because even inside information is reflected in the current stock price.

History of Strong Form Efficiency

The concept of strong form efficiency was pioneered by Princeton economics professor Burton G. Malkiel in his book published in 1973 entitled "A Random Walk Down Wall Street." 

Malkiel described earnings estimates , technical analysis, and investment advisory services as “useless.” He said the best way to maximize returns is by following a buy-and-hold strategy , adding that portfolios constructed by experts should fare no better than a basket of stocks put together by a blindfolded monkey.

Example of Strong Form Efficiency

Most examples of strong form efficiency involve insider information. This is because strong form efficiency is the only part of the EMH that takes into account proprietary information. The theory states that contrary to popular belief, harboring inside information will not help an investor earn high returns in the market.

Here’s an example of how strong form efficiency could play out in real life. A  chief technology officer (CTO) of a public technology company believes that his firm will begin to lose customers and revenues . After the internal rollout of a new product feature to  beta  testers, the CTO's fears are confirmed, and he knows that the official rollout will be a flop. This would be considered insider information.

The CTO decides to take up a  short position  in his own company, effectively betting against the stock price movement. If the stock price declines, the CTO will profit and, if the stock prices increases, he will lose money.

However, when the product feature is released to the public, the stock price is unaffected and does not decline even though customers are disappointed with the product. This market is strong form efficient because even the insider information of the product flop was already priced into the stock. The CTO would lose money in this situation.

strong and weak hypothesis

  • Terms of Service
  • Editorial Policy
  • Privacy Policy

The Math Doctors

Inductive Proofs: Four Examples

Last week we looked at introductory explanations of what mathematical induction is , including answers to some misunderstandings of the concept. But we only looked at one trivial example of such a proof; for a real understanding of the technique, we need some fuller examples. For that purpose, I have chosen a few questions we have answered with relatively full explanations: two summations, and two divisibility proofs.

Sum of squares

The first question is from 1998:

Doctor Sonya answered, first clarifying the problem:

This is an important distinction to understand: Induction is used to prove that a formula you may have just guessed, is indeed correct. Induction, in fact, often seems unsatisfying because it doesn’t give even a hint as to how the thing being proved could have been discovered. So this assignment is not well worded.

What is induction? (reprise)

Next, a quick overview of what we saw last week:

That “guess”, by the way, is intentionally wrong, and you can easily see that by trying a number of two. Disproving a guess is often very easy; proving it takes a lot more work!

“Guessing” a formula

You would never come up with that formula just by random guessing, would you? For some ways you might discover this formula, see

Doing the induction

This step is usually pretty easy.

This step takes no real work; it’s just a matter of replacing the general variable n with a specific k so we can make an assumption. (You can carry out the work without renaming the variable, but you might forget that you haven’t yet proved the general claim!)

Since Rob has had over 20 years to work on it, we can go ahead and do it now. I like to start this step by writing out what our goal is: to show that $$\frac{k(k+1)(2k+1}{6} + (k+1)^2 = \frac{(k+1)((k+1)+1)(2(k+1)+1)}{6}$$ It will help if we simplify the RHS (right-hand side) a bit: $$\frac{k(k+1)(2k+1}{6} + (k+1)^2 = \frac{(k+1)(k+2)(2k+3)}{6}$$

Keep in mind that we don’t know this yet; it is what we want to prove !

How can we do that? We can either transform the LHS (left-hand side) into the RHS step by step; or we can just simplify both sides and show that they are equal to the same thing. Looking at the simplified version above, I see \((k + 1)\) in every term, so I’m going to keep those while combining the two terms on the LHS: $$\frac{k(k+1)(2k+1)}{6} + (k+1)^2 = \\ \frac{k(k+1)(2k+1)+6(k+1)^2}{6} = \\ \frac{(k+1)\left[k(2k+1)+6(k+1)\right]}{6} = \\ \frac{(k+1)\left[2k^2+7k+6\right]}{6} = \\ \frac{(k+1)(k+2)(2k+3)}{6}$$

My last step was to factor \(2k^2+7k+6\), but that was easy because I kept my eye on the goal and just had to check that it was equal to what I expected, \((k+2)(2k+3)\)!

We’ve shown that the formula holds for n = 1, and that if it holds for any k , then it also holds for k + 1. Therefore, we have proved that for any positive integer n , $$1^2+2^2+3^2+\cdots +n^2 = \frac{n(n+1)(2n+1}{6}$$

Sum of consecutive odd numbers

Next, we have a question from 1996, where a pattern has been observed, and we want to show that it is “real”:

If we keep adding consecutive odd numbers, we get a perfect square; this implies a formula for the sum of odd numbers. It is actually so well known that no name is attached to it; it is a special case of the general concept of an arithmetic series.

Doctor Luis answered:

The first step in proving a claim is to state it as clearly as possible. Here, we might have looked at the examples and seen, say, that we get the square of 7 when the last number added was 13, which is 2(7) – 1.

Another overview of induction

As always, a good example clarifies a general concept. You’ll observe that Doctor Luis will, as we like to do, offering a different example to work through, so that our anonymous asker can enjoy doing his own. He will prove the simplest arithmetic series, one that is very well known (called the triangular number formula):

As we saw last week, it can be helpful to label the n th statement symbolically; here, the label is not for the n th proposition , but for the n th sum . This will make it easier to write about the next one.

Some readers might be curious about the fact that S(1) means “the sum of natural numbers from 1 through 1 is 1”! The notation “\(1 + 2 + 3 + 4 + 5 + … + n\)” doesn’t mean that n is greater than 5, but is illustrative of “the sum of the first n natural numbers”. Mathematicians get used to treating 1 just like any other number, and not worrying about grammatical oddities (“the first one natural numbers”??). But the base case is generally special like that.

Strong and weak induction

Until now we have assumed that our proposition is true for n = k , not for all numbers up to k . What Doctor Luis is stating here is technically called “ strong induction “, meaning that we are making a stronger assumption than in ordinary “ weak induction “. Usually weak induction is all we need, but sometimes it is easier to do the proof by making the stronger assumption. (Here it isn’t necessary.)

Weak induction says, “If it worked last time, it will work this time;” strong induction says, “If it’s always worked so far, it will work this time.”

Weak induction is represented well by the domino analogy , where each is knocked over by the one before it; strong induction is represented well by the stair analogy , where each step is supported by all the steps below it.

The two forms are equivalent: Anything that can be proved by strong induction can also be proved by weak induction; it just may take extra work. We’ll see a couple applications of strong induction when we look at the Fibonacci sequence, though there are also many other problems where it is useful.

The core of the proof

This is the same kind of reasoning we used for the sum of squares, and in fact for any summation formula; the only difference is that the goal wasn’t stated first, so it may have been harder to see why we are doing what we do, and that we have, in fact, finished the work! Once again, we wanted a factored form, so the common factor of \((k+1)\) was useful.

This is the part I like to do ahead of time, to set up my target.

I, too, will leave it to you to prove the formula for the sum of odd numbers. You’ll find that the algebra is far easier than what we just did!

Two divisibility proofs

This question is also from 1999:

What is to be proved here could be thought of as factoring of polynomials, as we know for example that \(x^3-y^3=(x-y)(x^2+xy+y^2)\); but it is stated of numbers, as for example if \(x=5\) and \(y=3\), then \(x^4-y^4=625-81=544\) is divisible by \(x-y=5-3=2\).

A simpler example

Doctor Marykim answered, starting with a proof of divisibility by a fixed number:

It is assumed that n is to be any positive integer. The base case is just to show that \(4^1+14=18\) is divisible by 6, and we showed that by exhibiting it as the product of 6 and an integer.

Doctor Marykim is taking the 3 steps a little differently than others, taking the second to include the inductive step proper, and step 3 to be the statement of the conclusion. What she has done here is to use the assumption, in the form \(4^k=6A-14\), to show that the next case, \(4^{k+1}+14\), is also a multiple of 6 by rewriting it and factoring out 6.

This explains how induction works, as a chain of implications.

The requested proof

That was provided as an example, focusing on what it takes to prove divisibility. Now James gets to try it himself:

Let’s do it. Keep in mind that x and y are just arbitrary integers; induction involves n , which can be any positive integer.

Base case: For n = 1, we are claiming that \(x^1-y^1=x-y\) is divisible by \(x-y\), which is obvious, as any number is divisible by itself. But to practice how we prove such things, the proof is $$x-y=1(x-y) \text{ for any }x\text{ and }y $$

Induction hypothesis: We assume that \(x^k – y^k = A(x-y)\) for some integer A , for all integers x and y . Our goal is to show that \(x^{k+1} – y^{k+1} = B(x-y)\) for some integer B .

Inductive step: We need to factor out \((x-y)\) from \(x^{k+1} – y^{k+1} = x\cdot x^k-y\cdot y^k\). One useful trick for factoring (equivalent to long division) is to insert a pair of equal terms in the middle, chosen so that we can factor by grouping: $$x\cdot x^k-y\cdot y^k = \\x\cdot x^k\boldsymbol{-y\cdot x^k+y\cdot x^k}-y\cdot y^k =\\(x-y)x^k+y(x^k-y^k) = \\(x-y)x^k+yA(x-y) = \\(x-y)(x^k+yA)$$ That does the job, since \(B = (x^k+yA)\) is an integer.

Conclusion: We have shown that \(x^n – y^n\) is divisible by \((x-y)\) for all integers x and y , when \(n=1\), and for any subsequent value of n , and therefore for all positive integers n .

2 thoughts on “Inductive Proofs: Four Examples”

Pingback: Inductive Proofs: More Examples – The Math Doctors

Pingback: Summing Squares: Finding or Proving a Formula – The Math Doctors

Leave a Comment Cancel Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed .

country flag

Strong Form vs. Weak Form Efficient Market Hypothesis (EMH)

Contributor Image

The Efficient Market Hypothesis (EMH) is a cornerstone of modern finance, but it’s often misunderstood.

It doesn’t claim that markets are perfect or always rational.

Instead, it posits that market prices reflect all available information. This means stock prices aren’t predictable – they adjust instantly to new news or data.

Each piece of information – company earnings, economic forecasts, even whispers of insider trading – slots into place, forming a complete picture of a stock’s worth.

With all the pieces in place, the EMH posits that the price you see is the “true” value, making it difficult to consistently find “undervalued” stocks or other information that allows you to beat a representative benchmark.

Key Takeaways – EMH

The EMH has three flavors: Weak Semi-Strong Strong Weak EMH says past prices can’t predict future movements, so technical analysis is futile. Semi-Strong EMH extends this, claiming all public information is already baked into prices – i.e., fundamental analysis would therefore be inconsequential. Strong EMH takes the most extreme stance, asserting that even insider information is reflected, making it impossible for anyone to consistently beat the market. This doesn’t mean markets are infallible, bubbles can’t occur, some traders/investors can benefit from variance. But the EMH provides a framework for understanding how markets function and what traders/investors can realistically expect. Our take on the matter? If you don’t have an informational or analytical edge on the markets, then the EMH is a reasonable starting point. It’s not easy to spot a mispricing or beat the markets. If you do happen to work up to a point where you do have an edge in whatever form, you may try to carefully take some type of tactical approach to the markets.

Efficient Market Hypothesis isn’t a one-size-fits-all concept.

It comes in different forms, each with distinct implications for traders.

Strong Form Efficiency

This is the EMH in its most extreme form.

It argues that stock prices instantly reflect all information, even insider knowledge.

This means that even those with access to confidential company data or market-moving secrets can’t gain a consistent advantage. If this holds true, it’s essentially a “level playing field” where nobody has an edge.

The Semi-Strong version allows that an informational edge can give some an advantage, but analysis as a whole is generally futile.

Weak Form Efficiency

This is a more moderate version of the EMH.

It suggests that prices already incorporate all past market data, like historical price movements and trading volumes.

This implies that strategies based on charting or technical analysis are futile because past patterns don’t predict future trends.

While it doesn’t dismiss other forms of analysis, it suggests that trying to “ time the market ” based on past data is a losing game.

These are theoretical constructs.

Whether markets align with strong or weak form efficiency or neither is a subject of ongoing debate and research.

Implications on Trading Strategies

The implications of EMH for your strategy or approach to markets depend on which version you believe.

If markets are truly strong form efficient, then it suggests against all active management.

Since all information, public or private, is already factored into prices under this hypothesis, there’s no way to gain an edge through research or analysis.

Fundamental analysis , which involves studying a company’s financial health and growth prospects, becomes irrelevant. Even insider tips are useless.

In 1971, Fischer Black famously wrote in “ Implications of the random walk hypothesis for portfolio management ” that:

Insiders are wrong so often that it hardly seems worth the risk involved.

So, if even people with the most information about a security are wrong so often, then it seems wasteful of your time and risk-bearing capacity to try to beat the market.

The best strategy under this approach?

Have a diversified portfolio of low-cost index funds and ride with market returns.

This version of EMH has a different impact.

It implies that technical analysis, which relies on historical price and volume data to predict future trends, is ineffective.

The market’s past performance won’t give you a crystal ball.

However, fundamental analysis could still hold value.

By understanding a company’s underlying business and its competitive landscape, you might be able to uncover information that hasn’t been fully priced in.

Criticisms & Limitations

Strong form emh.

Strong Form EMH has taken the most heat.

Real-world examples of insider trading leading to substantial profits directly contradict its premise.

There are cases like Raj Rajaratnam or Mathew Martoma, the hedge fund managers convicted of insider trading, who made millions from illegally obtained information.

These cases suggest that private information can indeed be exploited for market gains, casting doubt on the notion that markets are perfectly efficient.

Company executives also do more than the general public about their company.

This is especially the case in extreme scenarios, such as cases of accounting fraud and other forms of dishonesty and illicit behavior.

Weak Form EMH

Weak Form EMH also faces challenges.

Market anomalies like the “January Effect,” where stocks tend to outperform in January, and the success of momentum strategies , where recent winners continue to win, seem to defy the idea that past prices are irrelevant.

These anomalies suggest that predictable patterns might exist, opening the door for potentially profitable strategies based on historical data.

These criticisms don’t completely invalidate the EMH.

They suggest that markets may not be perfectly efficient in all situations.

Anomalies can exist, and those with access to privileged information might gain temporary advantages.

However, the EMH still provides a framework for understanding market behavior and setting realistic expectations for the vast majority of traders.

It reminds us that consistent outperformance is difficult, and successful trading/investing requires more than just following trends or relying on insider tips.

Practical Application & Real-World Relevance

The EMH goes beyond academic theory and has a real impact on how the financial world operates.

Trading & Investment Strategies

Beliefs about EMH have shaped how professionals approach trading and investing.

Those who lean toward strong form efficiency favor passive strategies , like index funds, since they believe no amount of analysis can consistently beat the market.

Or they may simply believe they don’t have the ability to, the resources to do so, or the desire to outperform the market.

Others, more aligned with weak form efficiency, might use fundamental analysis to uncover undervalued stocks, while acknowledging that technical analysis won’t provide an edge (at least not for them).

The debate isn’t just theoretical, it drives literally trillions of dollars in capital allocation decisions in markets.

Policy and Regulation

The EMH also influences financial regulation.

If strong form efficiency holds, regulators might prioritize preventing insider trading, since it’s the only way to gain an unfair advantage.

They might also focus on market transparency, so everyone has access to the same information simultaneously.

Nonetheless, if markets are only weak form efficient, regulators might be less concerned about insider trading, as it wouldn’t necessarily guarantee superior returns.

Instead, they might emphasize educating the public about the limitations of market timing and the importance of diversification .

Not Uniform

Different markets might exhibit varying degrees of efficiency.

For example, large-cap stocks might be more efficient than small-cap stocks due to higher analyst coverage and trading volumes.

This nuance is why understanding the different forms of EMH is important for both traders/investors and regulators.

It provides a framework for making informed decisions and designing effective policies.

Letpub, Scientific Editing Services, Manuscript Editing Service

  •      Language Editing     For Manuscripts    For Response Letter new    For LaTeX    For Annual Review and Tenure    For Books new
  •      Scientific Editing     For Manuscripts    For Response Letter new
  •      Grant Editing 
  •      Translation 
  • Publication Support  Journal Recommendation  Manuscript Formatting  Figure Formatting  Data Analysis new  Plagiarism Check  Conference Poster  Plain Language Summary
  • Scientific Illustration  Journal Cover Design  Graphical Abstract  Infographic  Custom Illustration
  • Scientific Videos  Video Abstract  Explainer Video  Scientific Animation
  • Ethics and Confidentiality
  • Editorial Certificate
  • Testimonials
  • Design Gallery
  • Institutional Provider
  • Publisher Portal
  • Brand Localization
  • Journal Selector Tool
  • Peer Review Status Check new
  • Learning Nexus

strong and weak hypothesis

What Makes a Strong Hypothesis for Scientific Research?

strong and weak hypothesis

Intentional Space Tag

Contact us  

Your name *

Your email *

Your message *

Please fill in all fields and provide a valid email.

strong and weak hypothesis

© 2010-2024  ACCDON LLC 400 5 th Ave, Suite 530, Waltham, MA 02451, USA Privacy • Terms of Service

© 2010-2024 United States: ACCDON LLC Tel: 1-781-202-9968 Email: [email protected]

Address: 400 5 th Ave, Suite 530, Waltham, Massachusetts 02451, United States

strong and weak hypothesis

Stack Exchange Network

Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Q&A for work

Connect and share knowledge within a single location that is structured and easy to search.

How to understand the difference between "Strong" & "Weak" Hypotheses in the case of Bolinger/Lieberman's views of Intonation?

1. non-whorfian contexts and missing czech equivalents.

To begin with, I am not sure if this is the right place to ask a question that may just as well pertain to scientific terminology in general. Nevertheless, it was only when I was reading a paper on Cross-language comparison of intonation by R. D. Ladd that I encountered the use of weak vs. strong in a context other than the Sapir-Whorfian linguistic relativity , where two versions of a S-W hypothesis are offered:

"The strong version says that language determines thought, and that linguistic categories limit and determine cognitive categories[.]"
"[T]he weak version says only that linguistic categories and usage influence thought and certain kinds of non-linguistic behavior."

In addition, I have never encountered the terms strong / weak hypothesis (or its translation silná / slabá hypotéza ) in Czech linguistic literature . I might be wrong, but we either do no use these terms in Czech at all, or we do have some analogical terms that simply do not translate as silná / slabá and that I have only been failing to encounter. In the very few texts I have been able to find on the internet using silná / slabá among my search criteria the authors seem to be using them, rather idiosyncratically, as direct translations from English, i.e. anglicisms of a sort.

2. Close encounters in Ladd's paper

I think I should first explain the particular context I encountered the terms in. In the opening section of the above-mentioned paper, Ladd criticizes the various unversalist opinions on intonation as hardly tenable. He chooses Bolinger and Lieberman to exemplify this, and describing the latter's views her says:

Lieberman (1967), for example, put forth a strong hypothesis relating intonational phrasing to the control o f breath and subglottal pressure in speech production, in connection with which he made broadly similar claims about universal functions of intonation to those made by Bolinger. Specifically, he suggested that all linguis­tically significant uses of intonation in all languages could be reduced to a distinction between 'marked breath group' and 'unmarked breath group' (corresponding roughly to phrasefinal rise and fall respectively), plus local prominence for accent on individually informative words; lexical tone was seen as overlaid on the two breath group types.

3. Glimpses of what the distinction might be about

So far, I have been able to put some pieces together from various online sources, most of which where non-linguistic and none actually discussed the essence of the difference. My current understanding, then, is very roughly as follows:

Strong hypotheses are simply strong claims, perhaps too strong, as they include a lot of details and particular assumptions, making the hypotheses as wholes difficult, if not impossible, to test and defend.

Weak hypotheses are more careful and focused more narrowly on a single aspect of a phenomenon - one that is easier to test, before one ever moves on to the other aspects.

4. Interpretation of the text by Ladd

Now, it seems that Lieberman's position is to be seen as strong , because he makes a lot of untestable (?) assumptions at once. If that is the case, what would a weak version of his hypothesis look like?

I will be extremely grateful for a fully-fledged answer, but I will also appreciate any comments, references, examples anyone can offer. And if someone can even come up with appropriate Czech equivalents, it will be just perfect! On the other hand, I won't object to migrating this question to another, more appropriate forum, if necessary.

  • terminology

Pavel Jetušek's user avatar

Know someone who can answer? Share a link to this question via email , Twitter , or Facebook .

Your answer, sign up or log in, post as a guest.

Required, but never shown

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy .

Browse other questions tagged terminology phonology phonetics intonation or ask your own question .

  • Featured on Meta
  • Announcing a change to the data-dump process
  • Upcoming initiatives on Stack Overflow and across the Stack Exchange network...

Hot Network Questions

  • How to calculate baker's percentages for indirect doughs?
  • What is the historical origin of lone CR as a line terminator?
  • How can life which cannot live on the surface of a planet naturally reach the supermajority of the planet's caves?
  • Does a Lunar Cycler make practical sense?
  • Existence of functorial (K-)flat resolutions?
  • Is this 1-line proof of Cayley–Hamilton incomplete?
  • While loop filtering out user input using not if statements and indexes of lists
  • Submitting paper to lower tier journal instead of doing major revision at higher tier journal
  • What happens if you're prevented from directing Blast Globes to a target the turn after you activate them?
  • Studies on Square Roots
  • Translation of Typst example sentence into Latin
  • If every definable class admits a group structure, must global choice hold?
  • How do I drop a database which has brackets in its name?
  • How does one go from wavefunctions to fields?
  • Find the newest element
  • Is copy elision in the form of named return value optimization permitted in C?
  • Australian Mathematics Competition 2003 Junior Level Question 29
  • What kind of building was it, in Arnold's 'Thyrsis', which bore 'Sibylla's name'?
  • Why does Godwin Baxter make bubbles while eating?
  • Are there laws on when a restrictive condition on a check is legally effective?
  • Doesn't our awareness of qualia imply the brain is non-deterministic?
  • Uncooperative PhD Labmate
  • What did Rohan and Gondor think Sauron was?
  • Is this sample LSAT question / answer based in fallacy?

strong and weak hypothesis

Preference Hypothesis and Strong Ordering (Explained With Diagram)

strong and weak hypothesis

Samuelson’s revealed preference theory has preference hypothesis as a basis of his theory of demand.

According to this hypothesis, when a consumer is observed to choose a combination A out of various alternative combinations open to him, then he ‘reveals’, his preference for A over all other alternative combinations which he could have purchased.

In other words, when a consumer chooses a combination A, it means he considers all other alternative combinations which he could have purchased to be inferior to A. That is, he rejects all other alternative combinations open to him in favour of the chosen combination A. Thus, according to Samuelson, choice reveals preference. Choice of the combination A reveals his definite preference for A over all other rejected combinations.

From the hypothesis of ‘choice reveals preference’ we can obtain definite information about the preferences of a consumer from the observations of his behaviour in the market. By comparing preferences of a consumer revealed in different price-income situations we can obtain certain information about his preference scale.

ADVERTISEMENTS:

Let us graphically explain the preference hypothesis. Given the prices of two commodities X and Y and the income of the consumer, price line PL is drawn in Fig. 12.1. The price line PL represents a given price-income situation. Given the price-income situation as represented by PL, the consumer can buy or choose any combination lying within or on the triangle OPL.

In other words, all combinations lying on the line PL such as A, B, C and lying below the line PL such as D, E, F and G are alternative combinations open to him, from among which he has to choose any combination. If our consumer chooses combination A out of all those open to him in the given price-income situation, it means he reveals his preference for A over all other combinations such as B, C, D, E and F which are rejected by him. As is evident from Fig. 12.1, in his observed chosen combination A, the consumer is buying OM quantity of commodity X and ON quantity of commodity Y.

Choice Reveals Preference

Besides, we can infer more from consumer’s observed choice. As it is assumed that a rational consumer prefers more of both the goods to less of them or prefers more of at least one good, the amount of the other good remaining the same, we can infer that all combinations lying in the rectangular shaded area drawn above and to the right of chosen combination A are superior to A.

Since in the rectangular shaded area there lie those combinations (baskets) of two goods which contain either more of both the goods or at least more of one good, the amount of the other remaining the same, this means that the consumer would prefer all combinations in the rectangular shaded area to the chosen combination A. In other words, all combinations in the shaded area MAN are superior to the chosen combination A.

As seen above, all other combinations lying in the budget-space OPL are attainable or affordable but are rejected in favour of A and are therefore revealed to be inferior to it. It should be carefully noted that Samuelson’s revealed preference theory is based upon the strong form of preference hypothesis.

In other words, in revealed preference theory, strong- ordering preference hypothesis has been applied. Strong ordering implies that there is definite ordering of various combinations in consumer’s scale of preferences and therefore the choice of a combination by a consumer reveals his definite preference for that over all other alternatives open to him.

Thus, under strong ordering, relation of indifference between various alternative combinations is ruled out. When in Fig. 12.1a consumer chooses a combination A out of various alternative combinations open to him, it means he has a definite preference for A over all others; the possibility of the chosen combination A being indifferent to any other possible combination is ruled out by strong ordering hypothesis.

J. R. Hicks in his “A Revision of Demand Theory’ does not consider the assumption of strong ordering as satisfactory and instead employs weak ordering hypothesis. Under weak ordering hypothesis (with an additional assumption that the consumer will always prefer a larger amount of a good to a smaller amount of it), the chosen combination A is preferred over all positions that lie within the triangle OPL and further that the chosen position A will be either preferred to or indifferent to the other positions on the price-income line PL.

“The difference between the consequences of strong and weak ordering, so interpreted amounts to no more than this that under strong ordering the chosen position is shown to be preferred to all other positions in and on the triangle, while under weak ordering it is preferred to all positions within the triangle, but may be indifferent to other positions on the same boundary as itself.”

The revealed preference theory rests upon a basic assumption which has been called the ‘consistency postulate’. In fact, the consistency postulate is implied in the strong ordering hypothesis. The consistency postulate can be stated thus: ‘no two observations of choice behaviour are made which provide conflicting evidence to the individual’s preference.”

In other words, consistency postulate asserts that if an individual chooses A rather than B in one particular instance, then he cannot choose B rather than A in any other instance when both are available to the consumer. If he chooses A rather than B in one instance and chooses B rather than A in another when A and B are present in both the instances, then he is not behaving consistently.

Thus, consistency postulate requires that if once A is revealed to be preferred to B by an individual, then B cannot be revealed to be preferred to A by him at any other time when A and B are present in both the cases. Since comparison here is between the two situations consistency involved in this has been called ‘ two term consistency by J.R. Hicks.

Weak Axiom of Revealed Preference (WARP):

If a person chooses combination A rather than combination B which he could purchase with the given budget constraint, then it cannot happen that he would choose (i.e. prefer) B over A in some other situation in which he could have bought A if he so wished. This means his choices or preferences must be consistent.

This is called revealed preference axiom. We illustrate, revealed preference axiom in Figure 12.2. Suppose with the given prices of two goods X and Y and given his money income to spend on the two goods, PL is the budget line facing a consumer. In this budgetary situation PL, the consumer chooses A when he could have purchased B (note that combination B would have even cost him less than A). Thus, his choice of A over B means he prefers the combination A to the combination B of the two goods.

Now suppose that price of good X falls, and with some income and price adjustments, budget line changes to P’L’. Budget line P’L’ is flatter than PL reflecting relatively lower price of X as compared to the budget line PL. With this new budget line P ‘U, if the consumer chooses combination B when he can purchase the combination A (as A lies below the budget line P’L’ in Fig. 12.2), then the consumer will be inconsistent in his preferences, that is, he will be violating the axiom of revealed preference.

Such inconsistent consumer’s behaviour is ruled out in revealed preference theory based on strong ordering. This axiom of revealed preference according to which consumer’s choices are consistent is also called ‘ Weak Axiom of Revealed Preference or simply WARP. To sum up, according to the weak axiom of revealed preference.

“If combination A is directly revealed preferred to another combination B, then in any other situation, the combination B cannot be revealed preferred to combination A by the consumer when combination A is also affordable”.

Now consider Figure 12.3 where to start with a consumer is facing budget line PL where he chooses combination A of two goods X and Y. Thus, consumer prefers combination A to all other combinations within and on the triangle OPL. Now suppose that budget constraint changes to P ‘L’ and consumer purchases combination B on it.

As combination B lies outside the budget line PL it was not affordable when combination A was chosen. Therefore, choice of combination B with the budget line P ‘L’ is consistent with his earlier choice A with the budget constraint PL and is in accordance with the weak axiom of revealed preference.

Consumer's Preferences are Inconsistent

Transitivity Assumption of Revealed Preference :

The axiom of revealed preference described above provides us a consistency condition that must be satisfied by a rational consumer who makes an optimum choice. Apart from the axiom of revealed preference, revealed preference theory also assumes that revealed preferences are transitive.

According to this, if an optimising consumer prefers combination A to combination B of the goods and combination B to combination C of the goods, then he will also prefer combination A to combination C of the goods. To put it briefly, assumption of transitivity of preferences requires that if A> B and B> C, then A > C.

In this way we say that combination A is indirectly revealed to be preferred to combination C. Thus, if a combination A is either directly or indirectly revealed preferred to another combination we say that combination A is revealed to be preferred to the other combination. Consider Figure 12.4 where with budget constraint PL, the consumer chooses A and therefore reveals his preference for A over combination B which he could have purchased as combination B is affordable in budget constraint PL.

Now suppose budget constraint facing the consumer changes to P’L’, he chooses B when he could have purchased C. Thus, the consumer prefers B to C. From the transitivity assumption it follows that the consumer will prefer combination A to combination C. Thus, combination A is indirectly revealed to be preferred to combination C. We therefore conclude that the consumer prefers A either directly or indirectly to all those combinations of the two goods lying in the shaded regions in Figure 12.4.

Revealed Preferences are Transitive

It is thus evident from above that concept of revealed preference is a very significant and powerful tool which provides a lot of information about consumer’s preferences who behave in an optimising and consistent manner. By merely looking at the consumer’s choices in different price-income situations we can get a lot of information about consumer’s preferences.

It may be noted that the consistency postulate of revealed preference theory is the counterpart of the utility maximisation assumption in both Marshallian utility theory and Hicks- Allen indifference curve theory. The assumption that the consumer maximises utility or satisfaction is known as rationality assumption. It has been said that a rational consumer will try to maximise utility or satisfaction.

Recently, some economists have challenged this assumption. They assert that consumers in actual practice do not maximise utility. The revealed theory has the advantage that its rationality assumption can be easily realised in actual practice. The rationality on the part of the consumer in revealed preference theory only requires that he should behave in a ‘consistent’ manner.

Consistency of choice is a less restrictive assumption than the utility maximisation assumption. This is one of the improvements of Samuelson’s theory over the Marshallian cardinal utility and Hicks-Allen indifference curve theories of demand.

It is important to note that Samuelson’s revealed preference is not a statistical concept. If it were a statistical concept, then the preference of an individual for a combination A would have been inferred from giving him opportunity to exercise his choice several times in the same circumstances.

If the individual from among the various alternative combinations open to him chooses a particular combination more frequently than any other, only then the individual’s preference for A would have been statistically revealed. But in Samuelson’s revealed preference theory preference is said to be revealed from a single act of choice.

It is obvious that no single act of choice on the part of the consumer can prove his indifference between the two situations. Unless the individual is given the chance to exercise his choice several times in the given circumstances, he has no way of revealing his indifference between various combinations.

Thus, because Samuelson infers preference from a single act of choice the relation of indifference is inadmissible to his theory. Therefore, the rejection of indifference relation by Samuelson follows from his methodology. “The rejection of indifference in Samuelson theory is, therefore, not a matter of convenience but dictated by the requirements of his methodology.”

Related Articles:

  • Choice of Revealed Preference (With Diagram)
  • Hick’s Logical Theory of Demand: Preference Hypothesis and Logic of Ordering
  • The Revealed Preference Hypothesis (With Diagram)
  • Consumption Theory on Revealed Preference Approach

Grab your spot at the free arXiv Accessibility Forum

Help | Advanced Search

Computer Science > Computation and Language

Title: weak-to-strong reasoning.

Abstract: When large language models (LLMs) exceed human-level capabilities, it becomes increasingly challenging to provide full-scale and accurate supervisions for these models. Weak-to-strong learning, which leverages a less capable model to unlock the latent abilities of a stronger model, proves valuable in this context. Yet, the efficacy of this approach for complex reasoning tasks is still untested. Furthermore, tackling reasoning tasks under the weak-to-strong setting currently lacks efficient methods to avoid blindly imitating the weak supervisor including its errors. In this paper, we introduce a progressive learning framework that enables the strong model to autonomously refine its training data, without requiring input from either a more advanced model or human-annotated data. This framework begins with supervised fine-tuning on a selective small but high-quality dataset, followed by preference optimization on contrastive samples identified by the strong model itself. Extensive experiments on the GSM8K and MATH datasets demonstrate that our method significantly enhances the reasoning capabilities of Llama2-70b using three separate weak models. This method is further validated in a forward-looking experimental setup, where Llama3-8b-instruct effectively supervises Llama3-70b on the highly challenging OlympicArena dataset. This work paves the way for a more scalable and sophisticated strategy to enhance AI reasoning powers. All relevant code and resources are available in \url{ this https URL }.
Subjects: Computation and Language (cs.CL); Artificial Intelligence (cs.AI)
Cite as: [cs.CL]
  (or [cs.CL] for this version)
  Focus to learn more arXiv-issued DOI via DataCite

Submission history

Access paper:.

  • Other Formats

References & Citations

  • Google Scholar
  • Semantic Scholar

BibTeX formatted citation

BibSonomy logo

Bibliographic and Citation Tools

Code, data and media associated with this article, recommenders and search tools.

  • Institution

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs .

  • Environment
  • Science & Technology
  • Business & Industry
  • Health & Public Welfare
  • Topics (CFR Indexing Terms)
  • Public Inspection
  • Presidential Documents
  • Document Search
  • Advanced Document Search
  • Public Inspection Search
  • Reader Aids Home
  • Office of the Federal Register Announcements
  • Using FederalRegister.Gov
  • Understanding the Federal Register
  • Recent Site Updates
  • Federal Register & CFR Statistics
  • Videos & Tutorials
  • Developer Resources
  • Government Policy and OFR Procedures
  • Congressional Review
  • My Clipboard
  • My Comments
  • My Subscriptions
  • Sign In / Sign Up
  • Site Feedback
  • Search the Federal Register

The Federal Register

The daily journal of the united states government.

  • Legal Status

This site displays a prototype of a “Web 2.0” version of the daily Federal Register. It is not an official legal edition of the Federal Register, and does not replace the official print version or the official electronic version on GPO’s govinfo.gov.

The documents posted on this site are XML renditions of published Federal Register documents. Each document posted on the site includes a link to the corresponding official PDF file on govinfo.gov. This prototype edition of the daily Federal Register on FederalRegister.gov will remain an unofficial informational resource until the Administrative Committee of the Federal Register (ACFR) issues a regulation granting it official legal status. For complete information about, and access to, our official publications and services, go to About the Federal Register on NARA's archives.gov.

The OFR/GPO partnership is committed to presenting accurate and reliable regulatory information on FederalRegister.gov with the objective of establishing the XML-based Federal Register as an ACFR-sanctioned publication in the future. While every effort has been made to ensure that the material on FederalRegister.gov is accurately displayed, consistent with the official SGML-based PDF version on govinfo.gov, those relying on it for legal research should verify their results against an official edition of the Federal Register. Until the ACFR grants it official status, the XML rendition of the daily Federal Register on FederalRegister.gov does not provide legal notice to the public or judicial notice to the courts.

Proposed Rule

Endangered and threatened wildlife and plants; proposed listing determinations for ten species of giant clams under the endangered species act.

A Proposed Rule by the National Oceanic and Atmospheric Administration on 07/25/2024

This document has a comment period that ends in 87 days. (10/23/2024) Submit a formal comment

Thank you for taking the time to create a comment. Your input is important.

Once you have filled in the required fields below you can preview and/or submit your comment to the Commerce Department for review. All comments are considered public and will be posted online once the Commerce Department has reviewed them.

You can view alternative ways to comment or you may also comment via Regulations.gov at https://www.regulations.gov/commenton/NOAA-NMFS-2017-0029-0027 .

  • What is your comment about?

Note: You can attach your comment as a file and/or attach supporting documents to your comment. Attachment Requirements .

this will NOT be posted on regulations.gov

  • Opt to receive email confirmation of submission and tracking number?
  • Tell us about yourself! I am... *
  • First Name *
  • Last Name *
  • State Alabama Alaska American Samoa Arizona Arkansas California Colorado Connecticut Delaware District of Columbia Florida Georgia Guam Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Puerto Rico Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virgin Islands Virginia Washington West Virginia Wisconsin Wyoming
  • Country Afghanistan Åland Islands Albania Algeria American Samoa Andorra Angola Anguilla Antarctica Antigua and Barbuda Argentina Armenia Aruba Australia Austria Azerbaijan Bahamas Bahrain Bangladesh Barbados Belarus Belgium Belize Benin Bermuda Bhutan Bolivia, Plurinational State of Bonaire, Sint Eustatius and Saba Bosnia and Herzegovina Botswana Bouvet Island Brazil British Indian Ocean Territory Brunei Darussalam Bulgaria Burkina Faso Burundi Cambodia Cameroon Canada Cape Verde Cayman Islands Central African Republic Chad Chile China Christmas Island Cocos (Keeling) Islands Colombia Comoros Congo Congo, the Democratic Republic of the Cook Islands Costa Rica Côte d'Ivoire Croatia Cuba Curaçao Cyprus Czech Republic Denmark Djibouti Dominica Dominican Republic Ecuador Egypt El Salvador Equatorial Guinea Eritrea Estonia Ethiopia Falkland Islands (Malvinas) Faroe Islands Fiji Finland France French Guiana French Polynesia French Southern Territories Gabon Gambia Georgia Germany Ghana Gibraltar Greece Greenland Grenada Guadeloupe Guam Guatemala Guernsey Guinea Guinea-Bissau Guyana Haiti Heard Island and McDonald Islands Holy See (Vatican City State) Honduras Hong Kong Hungary Iceland India Indonesia Iran, Islamic Republic of Iraq Ireland Isle of Man Israel Italy Jamaica Japan Jersey Jordan Kazakhstan Kenya Kiribati Korea, Democratic People's Republic of Korea, Republic of Kuwait Kyrgyzstan Lao People's Democratic Republic Latvia Lebanon Lesotho Liberia Libya Liechtenstein Lithuania Luxembourg Macao Macedonia, the Former Yugoslav Republic of Madagascar Malawi Malaysia Maldives Mali Malta Marshall Islands Martinique Mauritania Mauritius Mayotte Mexico Micronesia, Federated States of Moldova, Republic of Monaco Mongolia Montenegro Montserrat Morocco Mozambique Myanmar Namibia Nauru Nepal Netherlands New Caledonia New Zealand Nicaragua Niger Nigeria Niue Norfolk Island Northern Mariana Islands Norway Oman Pakistan Palau Palestine, State of Panama Papua New Guinea Paraguay Peru Philippines Pitcairn Poland Portugal Puerto Rico Qatar Réunion Romania Russian Federation Rwanda Saint Barthélemy Saint Helena, Ascension and Tristan da Cunha Saint Kitts and Nevis Saint Lucia Saint Martin (French part) Saint Pierre and Miquelon Saint Vincent and the Grenadines Samoa San Marino Sao Tome and Principe Saudi Arabia Senegal Serbia Seychelles Sierra Leone Singapore Sint Maarten (Dutch part) Slovakia Slovenia Solomon Islands Somalia South Africa South Georgia and the South Sandwich Islands South Sudan Spain Sri Lanka Sudan Suriname Svalbard and Jan Mayen Swaziland Sweden Switzerland Syrian Arab Republic Taiwan, Province of China Tajikistan Tanzania, United Republic of Thailand Timor-Leste Togo Tokelau Tonga Trinidad and Tobago Tunisia Turkey Turkmenistan Turks and Caicos Islands Tuvalu Uganda Ukraine United Arab Emirates United Kingdom United States United States Minor Outlying Islands Uruguay Uzbekistan Vanuatu Venezuela, Bolivarian Republic of Viet Nam Virgin Islands, British Virgin Islands, U.S. Wallis and Futuna Western Sahara Yemen Zambia Zimbabwe
  • Organization Type * Company Organization Federal State Local Tribal Regional Foreign U.S. House of Representatives U.S. Senate
  • Organization Name *
  • You are filing a document into an official docket. Any personal information included in your comment text and/or uploaded attachment(s) may be publicly viewable on the web.
  • I read and understand the statement above.
  • Preview Comment

Document Details

Information about this document as published in the Federal Register .

Document Statistics

Enhanced content.

Relevant information about this document from Regulations.gov provides additional context. This information is not part of the official Federal Register document.

Regulations.gov Logo

  • References_GiantClams
  • StatusReview_GiantClams_508

Published Document

This document has been published in the Federal Register . Use the PDF linked in the document sidebar for the official electronic format.

Enhanced Content - Table of Contents

This table of contents is a navigational tool, processed from the headings within the legal text of Federal Register documents. This repetition of headings to form internal navigation links has no substantive legal effect.

FOR FURTHER INFORMATION CONTACT:

Supplementary information:, listing determinations under the endangered species act, status review, biological review, taxonomy and species descriptions, hippopus hippopus, hippopus porcellanus, tridacna derasa, tridacna gigas, tridacna mbalavuana, tridacna squamosa, tridacna squamosina, range, distribution, and habitat use, h. hippopus, h. porcellanus, t. mbalavuana, t. squamosa, t. squamosina, diet and feeding, growth and reproduction, population structure, current and historical distribution and population abundance, extinction risk analysis, defining the “foreseeable future”, threats assessment, the present or threatened destruction, modification, or curtailment of its habitat or range, climate change impacts to coral reefs, coastal development, tanmen destructive shell harvesting, overutilization for commercial, recreational, scientific, or educational purposes, subsistence fisheries, domestic markets (meat and shells), international trade of giant clam meat and poaching, international trade in giant clam shells and shell-craft, international trade of live giant clams for aquaria, summary of risks to specific species due to overutilization for commercial purposes, h. hippopus, h. porcellanus, t. derasa and t. gigas, t. mbalavuana, t. squamosa, t. squamosina, disease or predation, the inadequacy of existing regulatory mechanisms, local regulations, regulations for international trade, regulations on climate change, inadequacy of regulations in the south china sea, other natural or man-made factors, ocean warming, ocean acidification, land-based sources of pollution, stochastic mortality events, demographic risk analysis, productivity, spatial structure/connectivity, overall risk summary, significant portion of its range (spr) analysis: h. hippopus, spr analysis: t. derasa, spr analysis: t. gigas, spr analysis: t. squamosa, protective efforts, proposed listing determinations, similarity of appearance, effects of this rulemaking, identification of those activities that would constitute a violation of section 9 of the esa, identification of those activities that would not constitute a violation of section 9 of the esa, protective regulations for threatened species under section 4(d) of the esa, identifying section 7 conference and consultation requirements, critical habitat, role of peer review, public comments solicited, public comments solicited on critical habitat, public informational meetings and public hearings, classification, national environmental policy act (nepa), regulatory flexibility act, executive order 12866 and paperwork reduction act, executive order 13132 , federalism, list of subjects in 50 cfr part 223 and 224, part 223—threatened marine and anadromous species, part 224—endangered marine and anadromous species, enhanced content - submit public comment.

  • Submit a public comment on this document

Enhanced Content - Read Public Comments

4 comments have been received at regulations.gov, across 1 docket.

Agencies review all submissions and may choose to redact, or withhold, certain submissions (or portions thereof). Submitted comments may not be available to be read until the agency has approved them.

Docket Title Document ID Comments
Response to a Petition to List 10 Species of Giant Clams under the ESA 4

Enhanced Content - Sharing

  • Email this document to a friend

Enhanced Content - Document Print View

  • Print this document

Enhanced Content - Document Tools

These tools are designed to help you understand the official document better and aid in comparing the online edition to the print edition.

These markup elements allow the user to see how the document follows the Document Drafting Handbook that agencies use to create their documents. These can be useful for better understanding how a document is structured but are not part of the published document itself.

Enhanced Content - Developer Tools

This document is available in the following developer friendly formats:.

  • JSON: Normalized attributes and metadata
  • XML: Original full text XML
  • MODS: Government Publishing Office metadata

More information and documentation can be found in our developer tools pages .

Official Content

  • View printed version (PDF)

This PDF is the current document as it appeared on Public Inspection on 07/24/2024 at 8:45 am. It was viewed 0 times while on Public Inspection.

If you are using public inspection listings for legal research, you should verify the contents of the documents against a final, official edition of the Federal Register. Only official editions of the Federal Register provide legal notice of publication to the public and judicial notice to the courts under 44 U.S.C. 1503 & 1507 . Learn more here .

National Marine Fisheries Service (NMFS), National Oceanic and Atmospheric Administration (NOAA), Commerce.

Proposed rule; availability of status review; request for comments.

We, NMFS, have completed a comprehensive status review of seven species of giant clams ( Hippopus hippopus, H. porcellanus, Tridacna derasa, T. gigas, T. mbalavuana, T. squamosa, and T. squamosina ) in response to a petition to list these species as threatened or endangered under the Endangered Species Act (ESA). Based on the best scientific and commercial data available, including the Status Review Report, and after taking into account efforts being made to protect these species, we have determined that H. porcellanus, T. mbalavuana, and T. squamosina are in danger of extinction throughout the entirety of their respective ranges, T. derasa and T. gigas are in danger of extinction in a significant portion of their respective ranges, and H. hippopus is likely to become an endangered species within the foreseeable future throughout a significant portion of its range. Therefore, we propose to list H. porcellanus, T. mbalavuana, T. squamosina, T. derasa, and T. gigas as endangered species and H. hippopus as a threatened species under the ESA. We have determined that the fluted clam, T. squamosa, is not currently in danger of extinction throughout all or a significant portion of its range and is not likely to become so within the foreseeable future. Therefore, we find that T. squamosa does not meet the definition of a threatened or an endangered species under section 4(a) of the ESA. Further, we propose to exercise the discretionary authority of section 4(d) to extend the prohibitions of section 9 of the ESA to the proposed threatened species, H. hippopus. At this time, we do not propose to designate critical habitat for the three species proposed to be listed that occur within U.S. jurisdiction ( H. hippopus, T. derasa, and T. gigas ) because critical habitat for these species is not yet determinable. Using the authority of section 4(e) of the ESA, we also propose to list T. crocea, T. maxima, T. noae, and T. squamosa as threatened species due to the similarity of appearance of products derived from these species ( e.g., meat, worked shell products, and pearls) to those derived from the six aforementioned species proposed to be listed based on their extinction risk. We propose a special rule to define activities that would and would not be prohibited with respect to these four species in order to mitigate the substantial enforcement challenge associated with this similarity of appearance concern. We solicit information to inform the final listing determination and to inform a future proposal for any determinable critical habitat.

Comments must be received by October 23, 2024.

Public informational meetings and public hearings: In-person and virtual public hearings on this proposed rule will be held during the public comment period at dates, times, and locations to be announced in a forthcoming Federal Register notice.

You may submit data, information, or written comments on this document, identified by NOAA-NMFS-2017-0029, by either of the following methods:

  • Electronic Submissions: Submit all electronic public comments via the Federal e-Rulemaking Portal. Go to https://www.regulations.gov and enter NOAA-NMFS-2017-0029 in the Search box. Click on the “Comment” icon, complete the required fields, and enter or attach your comments.
  • Mail: Submit written comments to Endangered Species Division, Office of Protected Resources (F/PR3), National Marine Fisheries Service, 1315 East West Highway, Silver Spring, MD 20910, USA, Attn: Giant Clams Species Listing Proposed Rule.

Instructions: Comments sent by any other method, to any other address or individual, or received after the end of the comment period, may not be considered by NMFS. All comments received are a part of the public record and will generally be posted for public viewing on https://www.regulations.gov without change. All personally identifying information ( e.g., name, address, etc. ), confidential business information, or otherwise sensitive information submitted voluntarily by the sender will be publicly accessible. NMFS will accept anonymous comments (enter “N/A” in the required fields if you wish to remain anonymous).

The Status Review Report associated with this determination, its references, and the petition can be accessed electronically at: https://www.fisheries.noaa.gov/​action/​proposed-rule-10-species-giant-clams-under-endangered-species-act . The peer review plan, associated charge statement, and peer review report can be accessed electronically at: https://www.noaa.gov/​information-technology/​status-review-report-of-7-giant-clam-species-petitioned-under-us-endangered-species-act-hippopus . The draft Environmental Assessment and Initial Regulatory Flexibility Analysis associated with the proposed ESA section 4(d) regulation for T. crocea, T. maxima, T. noae, and T. squamosa can be accessed electronically via the Federal e-Rulemaking Portal by navigating to https://www.regulations.gov and entering NOAA-NMFS-2017-0029 in the Search box.

John Rippe, NMFS Office of Protected Resources, (301) 427-8467, [email protected] .

On August 7, 2016, we received a petition from Dwayne Meadows to list 10 species of giant clams (Cardiidae: Tridacninae) as threatened or endangered under the ESA throughout their respective ranges. The petitioner also requested that critical habitat be designated in waters subject to U.S. jurisdiction concurrently with listing under the ESA. On June 26, 2017, we published a 90-day finding ( 82 FR 28946 ) announcing that the petition presented substantial scientific or commercial information indicating that the petitioned action may be warranted for 7 of the 10 species listed in the petition: Hippopus hippopus (horse's hoof, bear paw, or strawberry clam), Hippopus porcellanus (porcelain or China clam), Tridacna derasa (smooth giant clam), Tridacna gigas (true giant clam), Tridacna mbalavuana (syn. T. tevoroa; devil or tevoro clam), Tridacna squamosa (fluted or scaly clam), and Tridacna squamosina (syn. T. costata; Red Sea giant clam), but that the petition did not present substantial scientific or commercial information indicating that the petitioned action may be warranted for the other 3 species ( T. crocea, T. maxima, or T. noae ). We also announced the initiation of a status review of the seven aforementioned giant clam species, as required by Start Printed Page 60499 section 4(b)(3)(A) of the ESA, and requested information to inform the agency's decision on whether these species warrant listing as endangered or threatened under the ESA. We received information from the public in response to the 90-day finding and incorporated the information into both the Status Review Report (Rippe et al., 2023) and this proposed rule. This information complemented our thorough review of the best available scientific and commercial data for these species (see Status Review below).

We are responsible for determining whether species are threatened or endangered under the ESA ( 16 U.S.C. 1531 et seq. ). To be considered for listing under the ESA, a group of organisms must constitute a “species,” which is defined in section 3 of the ESA to include any subspecies of fish or wildlife or plants, and any distinct population segment (DPS) of any species of vertebrate fish or wildlife which interbreeds when mature ( 16 U.S.C. 1532(16) ). On February 7, 1996, NMFS and the U.S. Fish and Wildlife Service (USFWS; together, the Services) adopted a policy describing what constitutes a DPS of a taxonomic species (“DPS Policy,” 61 FR 4722 ). The joint DPS Policy identifies two elements that must be considered when identifying a DPS: (1) The discreteness of the population segment in relation to the remainder of the taxon to which it belongs; and (2) the significance of the population segment to the remainder of the taxon to which it belongs. Because giant clams are invertebrates they cannot be listed as DPSs, and the DPS Policy does not apply here.

Section 3 of the ESA defines an endangered species as “any species which is in danger of extinction throughout all or a significant portion of its range” and a threatened species as one “which is likely to become an endangered species within the foreseeable future throughout all or a significant portion of its range.” Thus, we interpret an “endangered species” to be one that is presently in danger of extinction. A “threatened species,” on the other hand, is not presently in danger of extinction, but is likely to become so within the foreseeable future (that is, at a later time). In other words, the primary statutory difference between a threatened and endangered species is the timing of when a species is in danger of extinction, either presently (endangered) or in the foreseeable future (threatened).

Under section 4(a)(1) of the ESA, we must determine whether any species is endangered or threatened as a result of any one or a combination of any of the following factors: (A) the present or threatened destruction, modification, or curtailment of its habitat or range; (B) overutilization for commercial, recreational, scientific, or educational purposes; (C) disease or predation; (D) the inadequacy of existing regulatory mechanisms; or (E) other natural or manmade factors affecting its continued existence ( 16 U.S.C. 1533(a)(1) ); 50 CFR 424.11(c) . We are also required to make listing determinations based solely on the best scientific and commercial data available, after conducting a review of the species' status and after taking into account efforts, if any, being made by any State or foreign nation (or subdivision thereof) to protect the species ( 16 U.S.C. 1533(b)(1)(A) ).

On July 5, 2022, the U.S. District Court for the Northern District of California issued an order vacating the ESA section 4 implementing regulations that were revised or added to 50 CFR part 424 in 2019 (“2019 regulations,” see 84 FR 45020 , August 27, 2019) without making a finding on the merits. On September 21, 2022, the U.S. Court of Appeals for the Ninth Circuit granted a temporary stay of the district court's July 5 order. On November 14, 2022, the Northern District of California issued an order granting the government's request for voluntary remand without vacating the 2019 regulations. On April 5, 2024, the Services published a final rule revising the section 4 implementing regulations ( 89 FR 24300 ). Because the 2024 revised regulations became effective on May 6, 2024, we considered them during the development of this proposed rule. For purposes of this determination and in an abundance of caution, we considered whether the analysis or its conclusions would be any different under the pre-2019 regulations. We have determined that our analysis and conclusions presented here would not be any different.

To determine whether each of the seven giant clam species warrants listing under the ESA, we completed a Status Review Report, which summarizes information on each species' taxonomy, distribution, abundance, life history, and biology; identifies threats or stressors affecting the status of each species; and assesses the species' current and future extinction risk. We appointed a biologist in the Office of Protected Resources Endangered Species Conservation Division to compile and complete a scientific review of the best scientific and commercial data available on the giant clam species, including information received in response to our request for information ( 82 FR 28946 , June 26, 2017).

The Status Review Report was subject to independent peer review pursuant to the Office of Management and Budget Final Information Quality Bulletin for Peer Review (M-05-03; December 16, 2004). It was peer reviewed by four independent specialists selected from the academic and scientific community with expertise in giant clam biology, conservation, and management. The peer reviewers were asked to evaluate the adequacy, appropriateness, and application of data used in the Status Review Report, as well as the findings made in the “Assessment of Extinction Risk” section of the report. All peer reviewer comments were addressed prior to finalizing the Status Review Report and publication of this finding.

We subsequently reviewed the Status Review Report, its cited references, and peer review comments, and conclude that it synthesizes the best available scientific and commercial data related to the seven giant clam species considered here. In making our determinations, we have applied the statutory provisions of the ESA, our regulations regarding listing determinations, and relevant policies identified herein.

The Status Review Report and the peer review report are available on our website (see ADDRESSES section). Below is a summary of the information from the Status Review Report and our analysis of the status of the seven giant clam species.

Giant clams are a small but conspicuous group of the planet's largest and fastest growing marine bivalves. They fall within the order Veneroida, family Cardiidae, and subfamily Tridacninae (Schneider, 1998). For many years, giant clams were considered to occupy their own family (Tridacnidae) sister to Cardiidae until molecular phylogenetics (Maruyama et al., 1998; Schneider & Foighil, 1999) and comparison of sperm ultrastructure (Keys & Healy, 2000) supported reclassifying the group as a subfamily within Cardiidae. This is the current, most widely accepted classification; however, Neo et al. (2017) note that others continue to argue that Tridacnidae should be retained as a full family based on its highly distinct Start Printed Page 60500 morphology (Huber & Eschner, 2011; Penny & Willan, 2014).

Colloquially described as having `upside down' orientation (Penny & Willan, 2014), giant clams lie with the hinge of their shell facing downwards, allowing their byssus ( i.e., filamentous threads) to attach the organism to the substrate while orienting their enlarged mantle upwards toward the sunlight (Soo & Todd, 2014). Additionally, most giant clam species have an epifaunal lifestyle ( i.e., situated on top of the substrate) in contrast to the largely infaunal lifestyle of their cardiid ancestors.

There are two extant genera of giant clams, Hippopus and Tridacna, which are distinguished by several shell and mantle characteristics. In Hippopus, a very narrow byssal orifice is bordered by interlocking teeth, while Tridacna exhibits a well-defined byssal gape without teeth. Additionally, when the clam is completely open, the mantle of Tridacna extends laterally beyond the margin of the shell, whereas the mantle of Hippopus does not (Lucas, 1988). A result of this difference is that Hippopus species tend to gape their valves further apart than Tridacna species, thus exposing more mantle surface area (Lucas, 1994).

There are currently 12 species of giant clams recognized in the literature, though this number changes often as advances in molecular phylogenetics resolve evolutionary relationships (including cryptic speciation) that had been overlooked by traditional morphology-based taxonomies. Joseph Rosewater's seminal work in 1965 is widely cited as the authoritative material for early descriptions of giant clam species and includes six current species that remain valid to date: H. hippopus (Linnaeus, 1758), T. gigas (Linnaeus, 1758), T. derasa (Röding, 1798), T. maxima (Röding, 1798), T. squamosa (Lamarck, 1819), and T. crocea (Lamarck, 1819). He later added H. porcellanus to this list after re-examining its classification (Rosewater, 1982).

At the time of the 1965 report, T. mbalavuana had only been formally described from fossils on Viti Levu, Fiji. However, Fijians had long known of this species occurring in local waters as `tevoro', or devil clam. Thus, when Lucas et al. (1991) re-discovered the species in 1991, they described it as the new species T. tevoroa. It was not until 2000 that T. mbalavuana and T. tevoroa were re-classified as synonymous based on morphological similarities (Newman & Gomez, 2000). As in the Status Review Report, we refer to this species by its lectotype ( i.e., its original classification), T. mbalavuana. Additionally, Richter et al. (2008) described a new species, T. costata, in 2008, but upon further analysis, it too was found to be synonymous with a previously described species, T. squamosina, first discovered by Rudolf Sturany (1899) during the early Austro-Hungarian expeditions of the Red Sea (Huber & Eschner, 2011). As in the Status Review Report, we refer to this species by its lectotype, T. squamosina.

Based on the best available scientific and commercial data summarized above, we find that all seven species of giant clams ( H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, T. squamosa, and T. squamosina ) are currently considered taxonomically-distinct species and, therefore, meet the definition of “species” pursuant to section 3 of the ESA. Distinguishing features of each species are summarized below.

Commonly referred to as the horse's hoof, bear paw, or strawberry clam, H. hippopus has a heavy, thick shell that features prominent reddish blotches in irregular concentric bands (Rosewater, 1965). The shell interior is porcellaneous white, frequently flushed with yellowish orange on the ventral margin (Kinch & Teitelbaum 2010; Rosewater, 1965). Primary radial sculpture consists of 13 or 14 moderately convex rib-like folds over the surface of the valve, extending towards the ventral slope where they become obsolete (Rosewater, 1965). The mantle usually exhibits mottled patterns in green, yellow-brown or grey, and the incurrent siphon lacks guard tentacles (Neo et al., 2017). Juveniles and young, smaller adults are usually attached to coral rubble by their byssus, whereas older (larger, heavier) individuals are typically found unattached on the substratum being held in place by their weight (Rosewater, 1965; Neo et al., 2017). The largest reported shell length for H. hippopus is 50 cm, which was documented at the Bolinao Marine Laboratory in the Philippines (Neo et al., 2017).

Commonly referred to as the China clam, H. porcellanus grows to a maximum size of 40 cm, but is most commonly found at shell lengths of around 20 cm (Kinch & Teitelbaum, 2010). The shell exterior is off-white, occasionally with scattered weak reddish blotches. The shell interior is porcellaneous white, often flushed with orange on the ventral margin, and the mantle ranges from a yellowish-brown to a dull green or grey (Kinch & Teitelbaum, 2010). This species is distinguished from its congener, H. hippopus, by its smoother and thinner valves and presence of fringing tentacles at the incurrent siphon (Neo, Eckman, et al., 2015).

T. derasa, or the smooth giant clam, is the second largest giant clam species, with a maximum size of around 60 cm (Neo et al., 2017). T. derasa has a heavy, plain-colored shell and can be distinguished from other species by its low primary and secondary radial sculpture. Primary radial sculpture consists of 7-12 broad, shallow rib-like folds (usually 6-7 main folds), and the shells are often greatly thickened at the umbos ( i.e., the oldest, most prominent point of the shell near the ventral margin) (Rosewater, 1965). The mantle is often characterized by elongate patterns of brilliant greens and blues, and the incurrent siphon is equipped with inconspicuous guard tentacles (Neo et al., 2017).

T. gigas is known as the true giant clam and is the largest of all the giant clam species, growing to a maximum shell length of 137 cm and maximum weight in excess of 225 kg (Beckvar, 1981; Rosewater, 1965). The shell of T. gigas is thick and heavy, equivalve (having valves of the same size), and equilateral (symmetrical front-to-back) (Hernawan, 2012). The shell exterior is off-white, and is often covered with marine growths ( e.g., vermetids, annelid tubes, coral, etc. ) (Kinch & Teitelbaum, 2010; Rosewater, 1965). For the most part, the shell lacks scales except near the byssal orifice where small scales may be present. The shell interior is porcellaneous white, dull in the area within the pallial line, and shiny above the pallial line to the dorsal end of the shell (Rosewater, 1965). Often, the mantle is yellowish-brown to olive-green and is a darker shade along the mantle's edge and around the clam's siphons (Rosewater, 1965). Numerous, small, brilliant blue-green rings are dispersed across the mantle, each enclosing one or several hyaline organs. These rings are especially prevalent along the lateral edges of the mantle and around the siphonal openings (Rosewater, 1965). Smaller specimens ( i.e., 150-200 mm) may be more uniformly colored, lacking a darker shade along the edge of the mantle and with fewer colored rings (Rosewater, 1965).

T. gigas is readily identified by many characteristics, most notably its large Start Printed Page 60501 size. The species can also be identified by four to six unique deep radial folds that give way to elongate, triangular projections at the upper margins of its shells (Hernawan, 2012; Lucas, 1988), a complete outer demibranch (the V-shaped structure of gills common to bivalves; Rosewater, 1965), the lack of tentacles on the inhalant siphon (Hernawan, 2012), and the lack of byssal attachment ( i.e., they are free-living; Rosewater, 1965).

Before it was formally classified taxonomically, Fijians had long referred to T. mbalavuana as `tevoro,' or devil clam, based on its thin, sharply-edged valves and warty brownish grey mantle. T. mbalavuana has been hypothesized to be a transitional species between the Hippopus and Tridacna genera due to overlapping characteristics (Lucas et al., 1991; Schneider & Foighil, 1999). It has Hippopus -like features including the absence of a byssal gape, a mantle that does not extend over the shells, and the absence of hyaline organs (Lucas et al., 1991); however, T. mbalavuana looks most like T. derasa in appearance (Lewis & Ledua, 1988). It can be distinguished from T. derasa by its rugose mantle, prominent guard tentacles on the incurrent siphon, thinner valves, and colored patches on the shell ribbing (Neo, Eckman, et al., 2015). The shell exterior is off-white, often partly encrusted with marine growths. It can grow to just over 50 cm long (Lewis & Ledua, 1988; Neo, Eckman, et al., 2015) with the largest specimen recorded at 56 cm (Lucas et al., 1991).

Commonly known as the fluted or scaly giant clam due to the characteristic leaf-like projections on its valves, T. squamosa is one of the most widely distributed species of giant clams. The exterior of its shell is greyish white in color, often with various hues of orange, yellow, or pink/mauve (Rosewater, 1965). The primary radial sculpture consists of 4-12 strongly convex, rib-like folds. The concentric sculpture consists of “undulate lines of growth which produce widely spaced, broadly leaf-like, projecting scales on primary folds” (Rosewater, 1965). The prominent scales on the shell commonly feature different shades or colors (Kinch & Teitelbaum, 2010). The shell interior is porcellaneous white, with an occasional hint of orange (Kinch & Teitelbaum, 2010). Rosewater (1965) describes the mantle as having a main ground color of greyish purple with a row of light blue rhomboidal spots along the outer mantle margin and multicolored irregularly-circular spots toward the center. The outer periphery of the spots is pale yellow, inside of which is a band of dark yellow, and the entire center is nearest to light blue. Generally, T. squamosa reaches a maximum shell length of ~40 cm (Neo et al., 2017).

T. squamosina, or the Red Sea giant clam, exhibits a strong resemblance to T. squamosa, but can be distinguished by its asymmetrical shells, crowded scutes, wider byssal orifice, and five to seven deep triangular radial folds (Roa-Quiaoit, 2005; Richter et al., 2008). Additionally, the mantle is most commonly a subdued brown mottled pattern with a green margin that features prominent “wart-like” protrusions and pale markings following the mantle contour (Richter et al., 2008). These are the main diagnostic features separating T. squamosina from its sympatric congeners and are conservatively present even in small clams <10 cm shell length (Richter et al., 2008). T. squamosina can reach at least 32 cm in shell length (Neo, Eckman, et al., 2015)—the largest specimen recorded was found in the southern Red Sea at Kamaran Island, off the coast of Yemen (Huber & Eschner, 2011).

H. hippopus is widely distributed throughout the Indo-Pacific ( i.e., the tropical and subtropical waters of the Indian Ocean, the western and central Pacific Ocean, and the seas connecting the two in the general area of Indonesia), occurring from the Andaman and Nicobar Islands in the west to the Republic of Kiribati in the east, and from New Caledonia in the south to the southern islands of Japan in the north (Neo et al., 2017).

According to Munro (1993a), H. hippopus occurs in the widest range of habitat types of all the giant clam species. Most often, it is found in shallow, nearshore patches of reef, sandy areas and seagrass beds that can be exposed during low tides, but it can also be found on reefs as deep as 10 m (S. Andréfouët, pers. obs. cited in Neo et al., 2017). Based on a recent survey in New Caledonia, Purcell et al. (2020) found that H. hippopus “strongly preferred” lagoonal reefs. The authors hypothesized that the species may either prefer the siltier sediments and more turbid water of lagoon reef flats or alternatively may have low tolerance to the wave exposure of barrier reefs.

H. porcellanus has one of the most restricted geographic ranges of the giant clams, centered in the Coral Triangle region. The species is mostly known from the Sulu Archipelago and Palawan region in the Philippines, but it has also been reported in Palau, the Milne Bay Province (Papua New Guinea), Sabah (Malaysia), and Sulawesi and Raja Ampat (Indonesia) (S. Wells, 1997; Neo et al., 2017).

There is very little information specifying the habitat preferences of H. porcellanus, but according to Calumpong (1992), the species is commonly found in shallow, nearshore sandy areas adjoining coral reefs. Juvenile or young H. porcellanus are frequently found byssally attached to coral heads, whereas larger mature H. porcellanus can be found on sandy bottoms unattached to substrate (Rosewater, 1982; Kinch & Teitelbaum, 2010).

The geographic range of T. derasa primarily encompasses the Coral Triangle region, although it extends east to Tonga and as far west as the Cocos (Keeling) Islands in the eastern Indian Ocean (Rosewater, 1965). Adams et al. (1988) described T. derasa as having a patchy distribution, being rare in many places throughout its range and abundant in others. Notably, T. derasa has been one of the most widely cultured species of giant clam and has been introduced to a number of countries and territories throughout the central and western Pacific Ocean. This includes the Federated States of Micronesia (FSM), Marshall Islands, Tuvalu, Cook Islands, Samoa, and American Samoa.

T. derasa preferentially inhabits clear offshore waters distant from areas of significant freshwater run-off (Munro, 1993a). According to Calumpong (1992), the species appears to favor oceanic environments ( i.e., small islands and atolls) more than fringing reefs adjacent to large island masses. The species is known to occur at depths of 4-25 m (Lewis et al., 1988; Neo et al., 2017), and is usually found weakly attached to the tops and sides of coral outcrops as juveniles, but may become detached upon reaching a larger size (Adams, 1988).

The natural range of T. gigas spans the shallow waters of the Indo-Pacific and the Great Barrier Reef, from Myanmar in the west to the Republic of Kiribati in the east, and from the Ryukyus Islands Start Printed Page 60502 of southern Japan in the north to Queensland, Australia in the south (bin Othman et al., 2010; Neo et al., 2017). Cultured specimens of T. gigas have been introduced in American Samoa, the Cook Islands, Hawaii, and Samoa (Neo et al., 2017). Like most other giant clam species, T. gigas is typically associated with coral reefs and can be found in many habitats, including high- and low-islands, atoll lagoons, and fringing reefs (Munro, 1993a). In a broad survey of T. gigas distribution throughout the Great Barrier Reef, Braley (1987a) found that the species was most common on inshore reefs potentially influenced by seasonal fluctuations in salinity and turbidity and was rare south of 19° S. The observed distribution was essentially opposite of that for T. derasa, which was found primarily on offshore reefs and was common in the Swain Reefs at 21-22° S. These contrasting distributions led Braley (1987b) to the conclusion that temperature may limit the distribution of young T. gigas, while T. derasa may be more sensitive to salinity and/or turbidity. T. gigas is typically found between the depths of 2 to 20 m and is often found among Acropora spp. or other hard coral communities, hard reef substrata, or on bare sand (Braley, 1987b; Kinch & Teitelbaum 2010; Rosewater, 1965).

T. mbalavuana has one of the most restricted distributions of all the giant clam species. For many years, it had only been observed in Fiji and Tonga, but recent reports indicate that this species may be found in low numbers outside of these two locations. According to Kinch and Teitelbaum (2010), T. mbalavuana had been observed in the Loyalty Islands in New Caledonia, a report later supported by Tiavouane and Fauvelot (2016), who encountered two individuals on the northeastern barrier reef of New Caledonia after “exhaustive searches” (Neo et al., 2017). Single individuals were also reportedly observed on Lihou Reef in the Coral Sea (Ceccarelli et al., 2009) and in the Raja Ampat region of West Papua, Indonesia (Wakum et al., 2017), but neither of these reports have been further corroborated.

In Fiji, individuals are most often observed along outer slopes of leeward reefs in the eastern Lau Islands, in very clear, oceanic water (Ledua et al., 1993). In Tonga, they are found in the northern Vava`u and Ha`apai islands. T. mbalavuana has a deeper depth distribution than most other giant clam species. In one study on spawning and larval culture of T. mbalavuana, individuals were collected from waters of Fiji and Tonga (Ledua et al., 1993). The mean depth of clams collected in Fiji was 27.4 m, with samples collected from depths ranging from 20 to 33 m, and all specimens were found on the leeward side of reefs and islands. Many of the clams found in Tonga were next to the edge of a sand patch and cradled against rocky outcrops, rubble or bare rock with steep slopes (Ledua et al., 1993).

T. squamosa is the second-most widely distributed giant clam species, with a broad geographic range that extends from the Red Sea and eastern Africa in the west to the Pitcairn Islands in the east, and from the Great Barrier Reef in the south to southern Japan in the north (bin Othman et al., 2010; Neo et al., 2017). The species has also been introduced in Hawaii and Guam (CITES, 2004b).

T. squamosa is usually found on coral reefs or on adjacent sandy areas (Neo et al., 2017). Juveniles are often attached to the substrate by a “weak but copious byssus,” while adults can be found either attached or free-living (Neo et al., 2017; Rosewater, 1965). T. squamosa occurs across a broad depth range, which includes shallow reef flats, patch reefs, and reef slopes, both inside and outside of lagoons. Individuals have been observed as deep as 42 m in the Red Sea (Jantzen et al., 2008). T. squamosa is typically more common on shelving fringing reefs than reef flats (Govan et al., 1988) and seems to prefer sheltered environments (Kinch & Teitelbaum, 2010; Munro, 1993a). Comparing the distribution of T. squamosa and T. maxima in Mauritius, Ramah et al. (2017) found that T. squamosa were most often attached to flat substrata, such as dead plate corals or rubble. Hardy and Hardy (1969) reported that T. squamosa and H. hippopus occupied much the same habitat in Palau, both being widely distributed in relatively shallow water in the lagoon and on the barrier and fringing reefs; although, T. squamosa was reportedly more commonly associated with coral areas of Acropora spp. than adjacent sandy areas. In New Caledonia, Purcell et al. (2020) interpreted the relatively high abundance of T. squamosa on barrier reef sites compared to lagoonal reefs as indication that the species may prefer cleaner waters, as opposed to the siltier sediments and more turbid seawater of lagoon reef flats. However, Lewis et al. (1988) note that the species is more tolerant of turbid water than T. derasa. Paulay (1987) reported that all observations of T. squamosa in the Cook Islands were from the outer reef slope, occasionally to depths of 30 m or more.

T. squamosina is endemic to the Red Sea, with its past and present distribution including the northeastern Gulf of Aqaba, the Sinai coast, and eastern coast of the Red Sea down to Yemen (Huber & Eschner, 2011; Lim et al., 2021; Richter et al., 2008; Rossbach et al., 2021). There have also been several anecdotal accounts of the species in Mozambique; however, later evidence of genetic divergence between specimens in the Red Sea and Mozambique (Moreels, 2018), as well as the significant geographic distance from its central range, suggests that the reported sightings may be of its recently-resurrected sister species, T. elongatissima, with which it shares a close phylogenetic history (Fauvelot et al., 2020; Tan et al., 2021). For this reason, without more information to verify these anecdotal sightings, we do not include the Western Indian Ocean in the natural range of T. squamosina.

In a survey of giant clams in the Red Sea, Richter et al. (2008) noted that live specimens of T. squamosina were found exclusively in very shallow water habitats ( e.g., reef flats, rocky and sandy-rubble flats, seagrass beds, or under branching corals or coral heads shallower than 2m). Thus, unlike the other two Red Sea species ( T. maxima and T. squamosa ), which have broad depth distributions, T. squamosina is restricted to the reef top and is usually weakly attached to the substrate (Richter et al., 2008).

During the earliest stages of larval development, giant clams initially rely on nutrients stored in the egg yolk. Upon formation of the velum and hollow intestines within the first 2-3 days after fertilization, veliger larvae transition to planktivory and are able to actively ingest flagellates (~5 μm in diameter), zooxanthellae and dissolved organic nutrients from the seawater via the mouth (Fitt et al., 1984; Soo & Todd, 2014). Like most bivalves, giant clams retain the ability to filter feed into adulthood by pumping water into their mantle cavities via an inhalant siphon, filtering plankton through ciliated gills, and passing the filtered water back out via an excurrent siphon (Hardy & Hardy, 1969).

However, a defining characteristic of giant clams is their mutualistic relationship with dinoflagellates of the family Symbiodiniaceae, known commonly as zooxanthellae, which Start Printed Page 60503 provide the primary source of nutrition to adult clams. Giant clams strictly acquire symbiotic algae from the seawater during larval development and therefore do not inherit symbionts via parental oocytes (Fitt & Trench, 1981; Hartmann et al., 2017). Furthermore, zooxanthellae are housed extracellularly within a diverticular extension of the digestive tract (Norton et al., 1992). This `tubular system' extends throughout the upper levels of the mantle and is arranged as a dense network of tertiary canals branching off of secondary structures with no direct connection to the haemolymph of the clam (Norton et al., 1992). Detailed scanning electron microscope images have shown that zooxanthellae are often stacked in pillars within these canals and are co-located with light-scattering iridocyte cells that enhance photosynthesis (L. Rehm, unpub.) and protect the algal cells from damaging UV radiation (Rossbach, Overmans, et al., 2020; Rossbach, Subedi, et al., 2020).

Symbiosis is thought to be established during metamorphosis from pediveliger to the juvenile clam. At this point, zooxanthellae can be observed migrating from the stomach to the tubular system (Fitt et al., 1986; Norton et al., 1992). Although, more recent studies have shown that genes known to be associated with symbiosis and glycerol synthesis are expressed in giant clam larvae, suggesting that symbiotic activity may be initiated earlier during larval development (Mies et al., 2016; Mies, Voolstra, et al., 2017).

Giant clams receive the majority of their metabolic carbon requirements via symbiotic autotrophy. They provide dissolved inorganic nutrients to support photosynthesis ( e.g., NH 4 + , NO 3 - , PO 4 + ) via direct absorption from the seawater and as an excretory byproduct of respiration (Hawkins & Klumpp, 1995; Toonen et al., 2011). In return, zooxanthellae transfer photosynthetic carbon to the host in the form of glucose, glycerol, oligosaccharides and amino acids (Griffiths & Streamer, 1988; Ishikura et al., 1999; Mies et al., 2016).

Under natural conditions, the contribution of autotrophy to giant clam nutrition tends to increase with body size and has been shown to vary between species (Klumpp & Griffiths, 1994; Klumpp & Lucas, 1994; Hawkins & Klumpp, 1995). This may in part be related to differences in their characteristic habitats. For example, T. derasa and T. mbalavuana, two species which occur predominantly in clear, oceanic environments, derive most ( T. mbalavuana: 70 percent at 28 m, 105 percent at 15 m), if not all ( T. derasa ), of the carbon required for growth and respiration from autotrophy (Klumpp & Lucas, 1994). Notably, only T. mbalavuana, which is the deepest-occurring species of giant clam, increased its photosynthetic efficiency in the lowest light conditions (Klumpp & Lucas, 1994). H. hippopus and T. gigas exhibit a different strategy altogether, reflecting their natural occurrence in shallower intertidal and subtidal habitats, where there is often a higher concentration of suspended organics in the water column. Klumpp et al. (1992) showed that T. gigas is an efficient filter-feeder and that heterotrophic carbon supplied significant amounts of the total carbon necessary for its respiration and growth (65 percent in ~43 mm individuals and 34 percent in ~167 mm individuals). In a follow-up study, Klumpp and Griffiths (1994) similarly found that ingested carbon provided 61 to 113 percent of total needs in 40 to 80 mm T. gigas and 36 to 44 percent in H. hippopus. Some have hypothesized that differences in energy acquisition and expenditure may in part explain the growth and size differences among giant clam species, and in particular the enormous size of T. gigas. At this point, however, no clear nutritional basis for these differences has been resolved (Klumpp & Griffiths, 1994).

Giant clams associate with several Symbiodiniaceae genera, which can vary by geographic location (Fitt et al., 1986). In the central Red Sea, for example, all sampled species ( T. maxima, T. squamosa, T. squamosina ) were found to exclusively harbor strains of Symbiodinium (formerly known as clade A) (Pappas et al., 2017). In Okinawa, Japan, T. squamosa hosted varying communities of Symbiodinium, Cladocopium (formerly clade C), and Durusdinium (formerly clade D) (Ikeda et al., 2017). Similarly, populations of T. squamosa, T. maxima, and T. crocea in eastern Indonesia were found to associate with mixed communities of these three genera (DeBoer et al., 2012). While certain symbiont genera have been shown to confer physiological benefits to coral hosts ( e.g., greater tolerance to thermal stress or enhanced growth rate), there is no consistent evidence that these patterns translate directly to giant clams (reviewed in DeBoer et al., 2012).

Giant clams are protandrous hermaphrodites, meaning they mature first as males and later develop ovaries to function as both male and female simultaneously (Wada, 1952; Rosewater, 1965). Size and age at maturity vary by species and geographic location, but generally, giant clams are known to reach male phase maturity at around 2-3 years of age (Heslinga et al., 1984; Shelley, 1989) and female phase maturity as early as 3-5 years (Heslinga et al., 1984; Isamu, 2008). In larger species, such as T. gigas, female maturity typically occurs later at around 8-9 years of age (Gomez & Mingoa-Licuanan, 2006). Giant clams reproduce via broadcast spawning, in which sperm and eggs are released into the water column where external fertilization takes place (Wada, 1954). Sperm is released first, followed by eggs after a short interval (Munro, 1993a).

Giant clams are exceptionally fecund, with individuals producing by many estimates tens to hundreds of millions of eggs during a single spawning event (Lucas, 1988). This number varies by species; for example, estimates suggest that H. porcellanus can release around 5 million eggs (Alcázar et al., 1987), H. hippopus can release 25-60 million eggs (Jameson, 1976; Alcala et al., 1986), and T. gigas can release up to 500 million eggs (Crawford et al. 1986). However, despite their high fecundity, giant clams experience very high rates of mortality during early development (Jameson, 1976; Beckvar, 1981), resulting in very low levels of natural recruitment (Munro, 1993a). Reports suggest that less than 1 percent of all giant clam fertilized eggs survive larval development and progress to the juvenile phase in the wild (Jameson, 1976; Fitt et al., 1984; Crawford et al., 1986). As Lucas (1994) describes, “the extreme example is T. gigas, which being at or near the pinnacle of fecundity, must have near the lowest level of survival of potential recruits in the animal kingdom.”

Many have described giant clam recruitment as “erratic” (McKoy et al., 1980; Adams et al., 1988; Lucas, 1994; Guest et al., 2008). For example, Braley (1988) observed “extremely low” average recruitment on the Great Barrier Reef, punctuated by a major recruitment event in 1987, which yielded the largest population of T. gigas that had been recorded at the time. This pattern aligns with the concept of `sweepstakes' reproduction, which is the chance matching of reproductive activity with oceanographic conditions conducive to spawning, fertilization, dispersal, and successful recruitment (Hedgecock, 1994). This can lead to sporadic waves of recruitment depending on the prevailing oceanographic conditions facilitating fertilization and carrying a successful cohort of `sweepstakes' larvae to a suitable settlement location. Importantly, for broadcast spawning organisms like giant clams, which Start Printed Page 60504 primarily rely on the mixing of gametes with neighboring individuals, this reproductive strategy can be especially sensitive to changes in population density. In particular, low abundance and low population density severely reduces the likelihood of such sweepstakes success by minimizing the chance of fertilization.

There is considerable variation in the frequency and seasonality of spawning events among giant clam species. There is no evidence of reproductive seasonality in the central tropics, with some populations possessing ripe gametes year-round (Heslinga et al., 1984; Munro, 1993a; Lindsay et al., 2004). At higher latitudes, spawning is most often associated with late spring and summer months and can occur once per year (Shelley & Southgate, 1988) or in some cases periodically over the course of several months (Fitt & Trench, 1981; Heslinga et al., 1984; Roa-Quiaoit, 2005). The environmental cues that initiate gamete release are not fully understood, but there is evidence that the lunar cycle may play a critical role. In Palau, for example, 76 percent and 24 percent of 55 observed spawning events by T. gigas occurred during the second and fourth quarter of the lunar cycle, respectively (Heslinga et al., 1984). Unlike many other broadcast spawning organisms, there is little evidence that temperature is important for the induction of spawning (Wada, 1954; Fitt & Trench, 1981).

Once one or more clams have begun to spawn, chemical cues associated with egg release have been shown to play a role in triggering the spawning of nearby individuals, which then release sperm for fertilization (Munro, 1993a). While a maximum distance between spawning individuals has not been quantified (Neo et al., 2015), in situ observations by Braley (1984) showed that 70 percent of the nearest spawning neighbors were within 9 m of one another, while only 13 percent were between 20-30 m of one another. Through laboratory trials, Neo et al. (2015) found that gametes of T. squamosa remained viable for up to 8 hours, but that viability decreased significantly with time. Because of these factors, maintaining sufficient population densities to facilitate fertilization among neighboring individuals is vital to the persistence of giant clam populations.

Importantly, there is also some evidence that giant clams are able to self-fertilize with varying fitness consequences among different species. After observing that the end of sperm release occasionally overlaps with the beginning of egg release in certain giant clam species (see also Kurihara et al. (2010)), Murakoshi and Hirata (1993) experimentally induced self-fertilization in four species of giant clams ( H. hippopus, T. crocea, T. maxima, and T. squamosa ) by removing the gonads and mixing gametes. They found that all four species are capable of self-fertilization, but that larval development of H. hippopus was significantly altered, and no T. maxima juveniles metamorphosed completely to the normal pediveliger stage. Juvenile T. crocea and T. squamosa survived up to a year post-fertilization, but the study was not long enough to evaluate possible effects on reproductive maturity or later-phase development. More recently, Zhang et al. (2020) evaluated the fitness effects of self-fertilization in three species of giant clams ( T. crocea, T. derasa, and T. squamosa ) after 1 year of development. They found that there was no effect of self-fertilization on the fertilization rate or zygotic fertility in any species. Larval survival and growth rate was significantly reduced in T. crocea and T. squamosa, but not T. derasa. However, while self-fertilization may be possible in some species, numerous accounts of spawning in culture and in situ suggest that sperm and eggs are released successively without an overlap in timing in the vast majority of spawning events (LaBarbera, 1975; McKoy, 1980; Wada, 1954). It is likely that this limits the occurrence of self-fertilization in nature and minimizes its role in giant clam productivity.

Once an egg is fertilized, the life cycle of giant clams is typical of bivalve molluscs (Lucas, 1994; Soo & Todd, 2014). Fertilized eggs are approximately 90-130 μm in diameter (Jameson, 1976) and have a slight negative buoyancy. They usually develop into swimming trochophores within 12-24 hours, at which time they are able to alter their depth distribution and begin searching for an eventual settlement site (Ellis, 1997; Neo et al., 2015). Shell production in molluscs begins at this early phase of development, following a thickening of epithelial cells that will define the future shell field (Gazeau et al., 2013). Within 36-48 hours after fertilization, larvae develop into shelled, swimming veligers, which use a ciliated velum for locomotion and feeding (Soo & Todd, 2014). The veligers are highly motile and begin feeding on microalgae of up to 10 μm in diameter (Munro, 1993a). Over the course of several days, the velum begins to degenerate and a foot develops as the larvae transition into the pediveliger stage (Soo & Todd, 2014). At this point, larvae alternate between swimming and crawling on the substrate, using their foot for sensing and feeding (Lucas, 1988; Soo & Todd, 2014). Pediveligers generally develop 6-14 days post-fertilization; however, Fitt and Trench (1981) noted considerable variation in the timing of this transition, where most took place by day 10 but others were observed up to 29 days post-fertilization.

Larvae metamorphose into juvenile clams at an approximate size of 200 μm (LaBarbera, 1975; Lucas, 1988; Soo & Todd, 2014). Juvenile clams remain mobile and are able to crawl both horizontally and vertically using their foot as they search for a settlement location (Soo & Todd, 2014). Giant clam larvae tend to settle on substrates that offer shelter in the form of grooves and crevices, highlighting the importance of habitat rugosity during this stage of development (Soo & Todd, 2014). Additionally, juveniles have been observed to move non-randomly and clump towards conspecifics, which some hypothesize may be a behavioral adaptation to enhance reproduction and predator defense (Huang et al., 2007; Neo, 2020). Juvenile clams eventually attach themselves to the substrate by use of byssal threads, which in some species will remain in place throughout their lifetime. Larger species typically lose the byssal threads after reaching adulthood and are held in place by their size and weight (Lucas, 1988).

Growth rates vary among species, with larger species exhibiting more rapid growth than smaller species (Munro & Heslinga, 1983; Lucas, 1988). Growth rates after settlement generally follow a sigmoid (“S” shaped) curve, beginning slowly, then accelerating after approximately 1 year and slowing again as the animals approach sexual maturity (Lucas, 1988; Ellis, 1997). Lucas (1994) provides examples of maximum rates of monthly shell growth for several species as recorded under culture conditions in the Philippines: H. hippopus —5.3 mm, T. squamosa —4.5 mm, T. derasa —5.6 mm, and T. gigas —9.1 mm (Calumpong, 1992; Gomez & Mingoa, 1993). Shell growth continues throughout the clam's lifespan (Lucas, 1994).

The maximum lifespan of giant clams is not known, but the oldest reliably aged individual was a large T. gigas determined to be 63 years old (Lucas, 1994). Similar aging studies based on the analysis of growth rings in the shell estimated a 43 cm-long T. squamosa to be around 22 years old (Basker, 1991), a ~20 cm-long T. maxima to be around 28 years old (Romanek et al., 1987), and a 93 cm-long T. gigas to be around 60 years old (Watanabe et al., 2004). Using growth and mortality estimates, Dolorosa et al. (2014) predicted a Start Printed Page 60505 lifespan of more than 20 years for H. porcellanus.

Current literature indicates several consistent features of giant clam population genetics throughout their range. The first is significant genetic differentiation between giant clam populations of the central Pacific region, including Kiribati, Marshall Islands, Tuvalu and Cook Islands, and the western Pacific region, including the Great Barrier Reef, Philippines, Solomon Islands and Fiji (Benzie & Williams, 1995, 1997). The pattern is consistent across T. gigas and T. maxima, although there is some variability in the inferred level of connectivity between the Great Barrier Reef and Philippines in T. derasa (Macaranas et al., 1992). Interestingly, the patterns of genetic connectivity do not reflect oceanic currents as would be expected for a passively-dispersing organism like giant clams. Hence, Benzie and Williams (1997) hypothesize that “other mechanisms dominate present-day dispersal, or that [the observed patterns] reflect past connectivity which present-day dispersal along major surface currents has not altered over thousands of years.”

Other studies describe a relatively consistent pattern of genetic structure within the Indo-Pacific region, often highlighting four or five genetic clusters distinguishing populations of the Red Sea, Western Indian Ocean, Eastern Indian Ocean, Indo-Malay Archipelago, and Western Pacific. In every case, populations of T. squamosa and T. maxima in the Red Sea are found to be highly divergent from all other populations in their range (Nuryanto & Kochzius, 2009; Huelsken et al., 2013; Hui et al., 2016; Pappas et al., 2017; Lim et al., 2018). The same is true of Western Indian Ocean populations, though to a slightly lesser extent (Hui et al., 2016; Lim et al., 2018). Additionally, there is a uniform pattern of differentiation between giant clam populations in the Indo-Malay Archipelago and those in the eastern Indian Ocean and Java Sea (Kochzius & Nuryanto, 2008; Nuryanto & Kochzius, 2009; Huelsken et al., 2013; Hui et al., 2016). This pattern is largely consistent across T. squamosa, T. maxima, and T. crocea, although some studies note variability between species with respect to certain genetic breaks identified in the Java Sea and in Chendewasih Bay (Nuryanto & Kochzius, 2009; Huelsken et al., 2013). Population genetic data from T. maxima and T. crocea (species which are not subject to this rulemaking) suggest that there may also be genetic breaks between the western Pacific islands and Indo-Malay Archipelago (Nuryanto & Kochzius, 2009; Huelsken et al., 2013; Hui et al., 2016). However, similar data are not available for any of the seven species considered here.

On a smaller scale, giant clam populations within the northern and central Great Barrier Reef exhibit high genetic connectivity (Benzie & Williams, 1992, 1995, 1997). Evans and Jerry (2006) found tenuous evidence of isolation-by-distance in this region, which would suggest that populations may be connected by the prevailing southward flow of the East Australian Current. In contrast, Kittiwattanawong et al. (2001) found that T. squamosa in the Andaman Sea are genetically distinct from those in the Gulf of Thailand, likely due to the physical barrier of the Malay Peninsula minimizing dispersal between these populations.

There are no current or historical estimates of global abundance for any of the seven giant clam species considered here. Therefore, we rely on the best available scientific and commercial data, including formal and informal survey data, qualitative descriptions of abundance or population trends, and anecdotal reports from specific sites, to evaluate the status of each species in each country, territory, or region throughout its range.

Much of the information used to determine the status of each species is derived from Table 4 of Neo et al. (2017), which we have supplemented or revised based on more recent survey data or reports. We have also adjusted the criteria used to define each qualitative abundance category, which Neo et al. (2017) had previously defined as follows: Abundant: >100 individuals (ind) ha -1 , Frequent: 1-10 ind ha -1 , Rare: <0.1 ind ha -1 . In doing so, we considered the reproductive ecology of giant clams, and in particular, the observations of Braley (1984) regarding the distance between nearest-spawning T. gigas during a natural spawning event. Braley (1984) measured that 70 percent of nearest-spawning individuals were within 9 m of one another, while only 13 percent were between 20-30 m of one another, suggesting that spawning synchrony decreases with distance. As broadcast spawning organisms, giant clams rely on sufficient population density in order to facilitate successful external fertilization of their gametes. Based on the distances above, we determined the minimum population density in a 1-hectare (10,000 m 2 ) square grid in which individuals could be evenly spaced at 9 and 30 m apart. Respectively, these distances represent populations that we consider to be “Abundant,” where we expect relatively high reproductive success, and “Frequent,” where we expect lower but moderate reproductive success. A “Rare” population in which individuals are spaced farther than 30 m apart on average is likely to have infrequent, sporadic reproductive success. This approach led to the following criteria: Abundant: >100 ind ha -1 (9-m distance), Frequent: 10-100 ind ha -1 (30-m distance), and Rare: <10 ind ha -1 (>30-m distance).

Importantly, precise quantitative assessments of abundance are not possible in most instances, as many regions lack current or comprehensive survey data (see the accompanying Status Review Report for all reported estimates of population density from specific surveys). Thus, where survey data are limited to only a few sites or where recent survey data are not available, we also take into account other available information, including qualitative descriptions of abundance or population trends, to reach a determination on the likely status of the species throughout each country, territory, or region in its entirety. In other words, although survey data from a single site may indicate a relatively abundant population, if the species is considered absent from all other areas, the species may be considered “frequent” or “rare” on average in that location. This methodology generally follows the approach used by Neo et al. (2017).

Additionally, it is important to note that, in the interest of simplicity, these qualitative abundance categories are based on an assumption of uniform spacing between individuals. However, a number of studies report that giant clams often occur in a clumped distribution, where individuals are concentrated in a number of small, distantly-separated groups. In these cases, the abundance categories may underestimate the productivity of the respective population. In other words, if survey data indicate that a species occurs in some location at low abundance on average, reproductive success is more likely if the individuals are clustered in a few small groups, minimizing the distance between neighboring individuals, than if they are spread uniformly across the seafloor.

In table 1 below, we summarize the status of each species in each of the locations where it has been observed. Full narrative descriptions of the data Start Printed Page 60506 and scientific studies that informed the following abundance assessments can be found in the accompanying Status Review Report (Rippe et al., 2023).

Table 1—Summary of the Population Status for Each of the Seven Giant Clam Species in All Countries, Territories, and Regions Where They Have Been Observed (Adapted From Neo 2017 and Supplemented With More Recent Information Where Available)

LocationHH  HP  TD  TG  TMB  TS  TSI  Red Sea:Djibouti+Egypt+++IsraelddJordan+++Saudi Arabia++++Somalia+Sudan++Yemen++ddSoutheast Africa:Cargados Carajos Archipelago+Comoros++Kenya+Madagascar++Mauritius+MayotteddMozambique+ddLa RéunionddSeychelles+South AfricaddTanzania+Indian Ocean:India+++Australia (NW Islands)++++++Christmas Island+−+Cocos (Keeling) Islands+−−ChagosddMaldives+Sri LankaddEast Asia:Japan+++Taiwan−−−+China−+South China Sea+++++South Asia:Indonesia+++++++Malaysia+++++++Myanmar (Burma)ddddddCambodiadd++BruneiddPhilippines++++++Singapore−−+Thailand−+Vietnamdd++East TimorddPacific Ocean:Australia (Great Barrier Reef)++++++dd++FijiREIN+REIN+++New Caledonia++−++Papua New Guinea+++++Solomon Islands++++++Vanuatu++REINREIN+FSM+ REIN+GuamREINREINREIN+Republic of Kiribati+++Marshall Islands++ +++CNMIREINREINREIN−Palau++++++++American SamoaREIN +Cook Islands +French Polynesia+Pitcairn Islands++Niue+SamoaREIN +Tokelau+TongaREIN+REIN++Start Printed Page 60507Tuvaludd −+United States (Hawaii) United States (Johnston Atoll)ddUnited States (Kingman Reef)+United States (Wake Atoll)ddddWallis and Futuna Islands+++ Species abundance categories are as follows. +++: Abundant (>100 ind ha ), ++: Frequent (10-100 ind ha ), +: Rare (<10 ind ha ), −: Locally extinct, Introduced to non-native location; Reintroduced (cultured specimens) to locations where the species had previously been extirpated; Data Deficient ( reports of species presence are not confirmed). Empty cells indicate locations where a species has not been observed.  Species names are abbreviated as follows: HH: HP: TD: TG: TMB: TS: TSI:

In determining the extinction risk of each species, it is important to consider both the demographic risks facing the species, as well as current and potential threats that may affect the species' status. To this end, the status review synthesized the best available scientific and commercial data regarding the five threat categories listed in section 4(a)(1) of the ESA. These are: (1) the present or threatened destruction, modification, or curtailment of its habitat or range; (2) overutilization for commercial, recreational, scientific, or educational purposes; (3) disease or predation; (4) inadequacy of existing regulatory mechanisms; or (5) other natural or manmade factors affecting its continued existence. Second, we conducted a demographic risk analysis following the Viable Population (VP) approach derived from McElhany et al. (2000), which addresses four biological descriptors of species status: abundance, productivity ( i.e., population growth rate), spatial distribution, and diversity. The VP approach reflects concepts that are well-founded in conservation biology and considers demographic factors that individually and collectively provide strong indicators of extinction risk. It is designed to both capture the biological symptoms of past threats that have contributed to the species' current status and provide insight into how the species may respond to present and future threats.

With respect to each threat and each demographic risk factor, we assigned a qualitative score from 1 to 5 representing its estimated contribution to the species' extinction risk (“very low,” “low,” “moderate,” “high,” or “very high” risk). Detailed definitions of these risk levels can be found in the accompanying Status Review Report. We also assigned a confidence rating from 0 to 3, reflecting the quantity and quality of information used to assign the score, as follows: 0 = No confidence ( i.e., no available information); 1 = Low confidence ( i.e., very limited available information); 2 = Medium confidence ( i.e., some reliable information available, but reasonable inference and extrapolation is required); 3 = High confidence ( i.e., reliable information with little or no extrapolation or inference required).

Lastly, all information from the threats assessment and demographic risk analysis was synthesized to estimate the overall risk of extinction for each species. For this analysis, we used three reference levels of extinction risk (“low,” “moderate,” and “high”), which are consistent with those used in prior ESA status reviews. “Low” risk indicates a species that is not at a moderate or high level of extinction risk (see “Moderate” and “High” risk below). A species may be at a low risk of extinction if it is not facing threats that result in declining trends in abundance, productivity, spatial structure, or diversity. A species at low risk of extinction is likely to show stable or increasing trends in abundance and productivity with connected, diverse populations. “Moderate” risk indicates a species that is on a trajectory that puts it at a high level of extinction risk in the foreseeable future (see “High” risk below). A species may be at moderate risk of extinction due to projected threats or declining trends in abundance, productivity, spatial structure, or diversity. “High” risk indicates a species that is at or near a level of abundance, productivity, spatial structure, and/or diversity that places its continued persistence in question. The demographics of a species at such a high level of risk may be highly uncertain and strongly influenced by stochastic or depensatory processes. Similarly, a species may be at high risk of extinction if it faces clear and present threats ( e.g., confinement to a small geographic area; imminent destruction, modification, or curtailment of its habitat; or disease epidemic) that are likely to create present and substantial demographic risks.

Importantly, these extinction risk categories are not meant to be a direct translation of the final listing determination for the species, as listing determinations must also consider ongoing conservation efforts of any State, foreign nation, or political subdivision thereof ( 16 U.S.C. 1533(b)(1)(A) ) to determine whether the species meets the ESA's definition of an “endangered species” or “threatened species.” Rather, the extinction risk assessment in the Status Review Report represents the scientific conclusion about the overall risk of extinction faced by the species under present conditions and in the foreseeable future based on an evaluation of the species' demographic risks and assessment of threats.

The appropriate time horizon for evaluating whether a species is more likely than not to be at a high level of risk in the “foreseeable future” varies on a case-by-case basis. For example, the time horizon may reflect certain life history characteristics ( e.g., long generation time or late age-at-maturity) and the time scale over which identified threats are likely to impact the biological status of the species. In other words, the foreseeable future represents the period of time over which we can reasonably determine that both future threats and the species' response to Start Printed Page 60508 those threats are likely. See generally 50 CFR 424.11(d) . It does not necessarily need to be limited to the period that the species' status can be quantitatively modeled or predicted within predetermined limits of statistical confidence. Reliable projections may be qualitative in nature.

With these criteria in mind, we determined that the “foreseeable future” for the following extinction risk analyses spans approximately ~50-60 years. Based on what is known about the life history traits of giant clams, with longevity estimated to be at least 50 years (up to 60 years for T. gigas ), maturity ranges from 3 to 9 years, and exceedingly low recruitment, it would likely take at least this amount of time ( i.e., multiple generations) for the effects of any management actions to be realized and reflected in population abundance indices. Similarly, the impact of present threats to the species would be realized in the form of noticeable population declines within this timeframe, as has been demonstrated in the available literature. As the primary operative threats to giant clams are overutilization for subsistence and commercial harvest, this timeframe would allow for reliable predictions regarding the impact of current levels of harvest-related mortality on the biological status of all the species.

One important exception to this timeframe is in regard to the future impacts and threats related to climate change. Based on the current standard for climate projections, under which most available models are extended to the end of the century, we use the same timeframe ( i.e., present day-2100) to define the “foreseeable future” in assessing the likely future threat of climate-related habitat degradation and climate-related impacts to giant clam fitness.

Below, we describe the natural and anthropogenic threats to each of the seven giant clam species within the framework of the five threat categories outlined in section 4(a)(1) of the ESA. Because a number of species occupy overlapping ranges and often co-occur in similar habitats, certain threats may apply to more than one species. In each section, we highlight the severity of the threat to each of the species affected and provide additional species-specific information where appropriate. Additional details may be found in the Status Review Report (Rippe et al., 2023).

As is mentioned in the species descriptions above, giant clams are often closely associated with coral reefs, inhabiting all types of shallow-water reef ecosystems ( i.e., fringing, barrier and atoll reefs), as well as various reef-adjacent habitats. However, there is no conclusive evidence that giant clams directly rely on live, pristine corals for their survival. Certain species are habitat generalists ( e.g., T. squamosa, T. gigas )—they are often observed among live corals but can also be found in other habitats, which are not pristine coral reef ( e.g., sand, rock, dead coral rubble, seagrass beds, macroalgae zones). Others are more specialized— T. mbalavuana is found exclusively at depth on reef slopes, T. derasa is found predominantly in offshore coral reef areas, while H. hippopus, H. porcellanus and T. squamosina tend to prefer sandy areas, shallow lagoon flats and seagrass beds adjacent to coral reefs.

Available research on larval settlement preference offers some clues as to what may be driving the association with coral reefs. Several studies show that T. squamosa larvae prefer to settle on substrates of relatively high rugosity and are drawn to crustose coralline algae (CCA), but actively avoid settling on live coral (Courtois de Vicose, 2000; Calumpong et al., 2003; Neo et al., 2009). Additionally, the small giant clam ( T. maxima ) has shown an ability to discriminate between “favorable” and “unfavorable” habitats, preferring to settle near the effluent of conspecifics and near the effluent of live coral and CCA, rather than cyanobacteria and sponges (Dumas et al., 2014). However, this information is limited to only one of the seven species being analyzed in connection with this proposed rule, and there are no such data for species that are predominantly found in sand flats and seagrass beds, where rugosity is especially low and settlement cues might differ.

Based on the known features of giant clam biology and larval development, Lucas et al. (1989) hypothesized that the proximity of giant clams to coral reefs is, to some extent, a result of two environmental requirements, which are maximized in shallow reef habitats: (1) high light conditions to support the photosynthetic nutrition that giant clams derive from their algal symbionts, and (2) substrate rugosity to provide cryptic settlement locations for vulnerable recruits and juveniles. While we cannot conclude that these factors are equally important to all species of giant clams, it is within the context of these two habitat requirements that we discuss the following threats to coral reef ecosystems and their potential impacts to giant clams.

Reef-building corals typically occur in waters that range between 25 °C-30 °C and are highly sensitive to temperature excursions outside of this range (Brainard et al., 2011). Prolonged exposure to high temperature anomalies can lead to coral bleaching, where the coral host expels its symbiotic zooxanthellae, leaving the tissue translucent and revealing its white skeleton underneath. Bleaching-associated mortality is quite variable and can depend on the duration and intensity of elevated temperatures, geographic location, bleaching history, species present, and other factors (Pandolfi et al., 2011; Putnam & Edmunds, 2011; van Hooidonk & Huber, 2012). Mild to moderate bleaching does not always lead to death; however, repeated and prolonged bleaching can cause widespread coral mortality on regional or global scales. Extreme summer temperature anomalies associated with strong El Niño events have led to three recognized global bleaching events in 1997-98, 2009-10 and 2014-17 (Hughes, Kerry, et al., 2017; Lough et al., 2018; Eakin et al., 2019). The latest (2014-17) was the longest and most severe global bleaching event in recorded history. It affected every major coral reef region and led to the mortality of one third of the Great Barrier Reef in Australia (Couch et al., 2017; Hughes, Kerry, et al., 2017; Hughes, Kerry, et al., 2018). In addition, many other regional-scale bleaching events over the last several decades have caused widespread coral mortality in reef communities throughout the Indo-Pacific (Brainard et al., 2011; Hughes, Anderson, et al., 2018).

While coral bleaching patterns can be complex, there is a general consensus that rising global ocean temperatures have led to more frequent and severe coral bleaching and mortality events (Hughes, Anderson, et al., 2018; Lough et al., 2018). Without drastic action to curb greenhouse gas emissions, this trend is projected to continue throughout this century (van Hooidonk et al., 2016). Additionally, several studies have shown that warming can significantly increase coral susceptibility to disease (Bruno et al., 2007; Sokolow, 2009; Brainard et al., 2011; Howells et al., 2020). The combination of these warming-related impacts has already caused dramatic Start Printed Page 60509 declines in many coral species and changes to the composition and structure of coral reefs around the world (Brainard et al., 2011; Hughes, Barnes, et al., 2017; Hughes, Kerry, et al., 2018). During the major 2016 coral bleaching event on the Great Barrier Reef, for example, the fast-growing, structurally complex tabular and branching species suffered disproportionately (>75 percent mortality on heavily bleached reefs), shifting reef communities towards taxa with simpler morphological characteristics and slower growth rates (Hughes, Kerry, et al., 2018). Other studies similarly suggest that coral reef ecosystems, rather than disappear entirely as a result of warming, will likely persist, but with unpredictable changes to their community composition and ecological function (Pandolfi et al., 2011; Hughes et al., 2012).

Coral reefs are also facing increasing risk from ocean acidification, the process by which atmospheric carbon dioxide (CO 2 ) is absorbed into the surface ocean, resulting in reduced seawater pH and reduced availability of carbonate ions. Due to anthropogenic CO 2 emissions, average surface ocean pH (total scale, pHt) has already decreased by more than 0.1 pHt units below the pre-industrial average of 8.17, and is expected to fall up to an additional 0.42 pHt units by 2100 under the worst-case emissions scenario from the Intergovernmental Panel on Climate Change (IPCC) (RCP 8.5) (Pörtner et al., 2014).

Such reductions in ocean pH could lead to drastic changes to the net calcification balance in many coral reef ecosystems. Numerous laboratory and mesocosm experiments have demonstrated a correlation between lower pH (or elevated partial pressure of CO 2 , pCO 2 ) and decreased coral calcification rates (Anthony et al., 2008; Ries et al., 2009; Anthony et al., 2011; Gazeau et al., 2013; Albright et al., 2018). Brainard et al. (2011) provide a table summarizing the existing literature on the topic (table 3.2.2 of the report), and for every species studied, net calcification rate either declines, or in very few, there is no significant effect. In a pair of controlled mesocosm experiments, net community calcification of a small enclosed coral reef was found to increase under enhanced alkalinity and decrease after the addition of CO 2 (Albright et al., 2016; Albright et al., 2018), indicating that current levels of acidification are already impairing ecosystem-level calcification and will likely exacerbate this effect in the future. Coupled with dwindling coral cover due to warming-associated bleaching and mortality, continued acidification could transition many reef systems from net overall accretion to net erosion within this century (Eyre et al., 2018; Cornwall et al., 2021).

Others anticipate that ocean acidification will also weaken the structural integrity of coral reefs, both by promoting the efficiency of bioeroding organisms and by reducing reef cementation ( i.e., secondary processes of carbonate precipitation that bind the reef framework). Observations from coral reefs of the eastern Pacific, which occur in naturally low-pH upwelling zones reveal some of the highest rates of bioerosion documented globally, as well as poorly cemented, fragile, and unstable reef frameworks (Glynn, 1988; Eakin, 1996, 2001; Manzello et al., 2008). Crustose coralline algae (CCA) contribute significantly to reef cementation by consolidating loose rubble and sealing porous dead coral skeletons (Adey, 1998; Littler & Littler, 2013). There is major concern that CCA may be among the most sensitive taxa to declines in seawater pH, because they build their skeletons with magnesium-rich calcite, a highly soluble form of carbonate (Andersson et al., 2008). Although some argue that the risk to CCA may be over-estimated, as certain aspects of their skeletal structure and biology have proven resilient to projected future conditions (Nash et al., 2013; Nash et al., 2015; Nash et al., 2016). At this point, the potential impacts of ocean acidification on CCA are not fully resolved.

Given the documented and projected impacts of ocean warming and acidification on coral reef ecosystems, we assessed the direct implications of these impacts on the extinction risk of the seven giant clam species. In our previous status review for 82 species of corals, Brainard et al. (2011) concluded that “the combined direct and indirect effects of rising temperature, including increased incidence of disease, and ocean acidification [. . .] are likely to represent the greatest risks of extinction to all or most of the candidate coral species over the next century.” They assessed the threat of continued ocean warming to be “highly certain” and graded the threat as “high” for most regions where the candidate corals are known to occur. Based on this assessment, we find it likely that live coral cover in general will continue to decline due to more frequent and severe bleaching events, and that ecosystem-scale calcification rates will decline as a result. Critically for giant clams, the negative impacts of warming are most pronounced in the fast-growing branching and tabular coral species, which are the primary contributors to the three-dimensional complexity of reef habitats. Thus, continued loss of live coral cover and of these coral species in particular will likely severely reduce the rugosity of future reef ecosystems. There is also evidence that ocean acidification will further inhibit calcification rates of living corals and weaken the structural integrity of the reef framework, although the magnitude of these effects is not clear. As with ocean warming, the primary implication of these effects for giant clams will be reduced habitat rugosity.

Nevertheless, there are two important layers of uncertainty associated with these predictions, and especially their potential impacts to giant clam habitat. First, with respect to ocean acidification, carbonate chemistry is notoriously difficult to model precisely in open systems, as it relies on many physical and biological factors, including seawater temperature, proximity to land-based runoff and CO 2 seeps, proximity to sources of oceanic CO 2 , salinity, nutrients, as well as ecosystem-level photosynthesis and respiration rates. The last factor, in particular, means that in many cases, daily fluctuations in pH or carbonate chemistry can significantly outweigh projected long-term changes to the average (Manzello et al., 2012; Johnson et al., 2019). Secondly, as mentioned above, there is very little research establishing the degree to which giant clams rely on coral reef rugosity and thus might be impacted by any reduction thereof. The few larval choice experiments to date suggest that T. squamosa prefers rough to smooth surfaces and is attracted to CCA. However, most giant clam species can be found in an array of habitat types, and some even seem to prefer areas of low rugosity, such as sand flats and seagrass beds ( e.g., H. hippopus, H. porcellanus, and T. squamosina ). No studies have quantified how or if giant clams might be affected under varying levels of coral reef complexity.

If giant clams are sensitive to reductions in net ecosystem calcification and reef rugosity, the projected climate change-related impacts to coral reefs would likely pose a significant threat to T. derasa, T. gigas, T. mbalavuana, and T. squamosa within the foreseeable future, as these species are known to inhabit coral reef environments. We would expect decreased larval recruitment and juvenile survival across broad portions of their range. These early life stages are already known to suffer exceptionally Start Printed Page 60510 high mortality rates naturally, and any further reduction in productivity would greatly threaten the viability of remaining giant clam populations.

However, without more information on the direct association between substrate rugosity and giant clam survival and productivity, it is difficult to estimate with any confidence the degree to which reef rugosity must decline to threaten the persistence of these species. Likewise, given the lingering uncertainty in the dynamics and effects of ocean acidification, it is not possible to estimate a timespan over which such a risk can be expected. Thus, while it is likely that continued ocean warming and acidification will drastically alter coral reef communities and reduce the rugosity of many reef habitats, we concluded that the potential effect on the quality or suitability of giant clam habitat cannot be confidently assessed.

The physical degradation of nearshore habitats due to coastal development poses an additional threat to giant clams throughout much of their range. Sedimentation associated with the construction and maintenance of coastal infrastructure can reduce the amount of suitable substrate available for larval settlement. There is extensive evidence for such an effect in corals—increased sediment load has been shown to deter larval recruitment (Babcock & Davies, 1991), reduce settlement success and survival (Hodgson, 1990; Babcock & Smith, 2002), and decrease the effectiveness of CCA to induce settlement (Ricardo et al., 2017). We could not find any research directly investigating this effect in giant clams; however, similarities in the biology and behavior of giant clam larvae would suggest that comparable results can reasonably be expected. Like coral larvae, giant clam larvae prefer rough settlement surfaces and are likely deterred by unconsolidated, fine-grained silt that is typical of anthropogenic sedimentation. Moreover, CCA provide a similarly important settlement cue for giant clams (Courtois de Vicose, 2000; Neo et al., 2009; Neo et al., 2015), and a reduction in effectiveness would likely decrease larval recruitment and settlement success.

Importantly, compared to habitat degradation due to climate change, coastal development poses a more localized threat to giant clam populations in specific regions. In the Red Sea, for example, Roa-Quiaoit (2005) notes intense modification to the Jordanian coastline over “four decades of rampant development of ports, industrial and tourism areas, as well as extreme events such as oil spills.” Surveys of giant clam density in the area revealed an inverse relationship between the population density of T. squamosa and metrics of human impact and coastal use. The author argues that the observed 12-fold reduction of giant clam density in Jordan over three decades is in major part due to this intense habitat modification. Similar examples of anthropogenic impacts to the coastal environment have also been documented in many areas of the Indo-Pacific region, although this is often discussed in relation to the health of coral reef ecosystems. In Singapore, approximately 60 percent coral reef area was lost during the 20th century due to land reclamation and associated sedimentation (Chou, 2006; Guest et al., 2008). On three specific Singapore reefs—Tanjong Teritip, Pulau Seringat, and Terumbu Bayan—Neo and Todd (2012) note that giant clams were once found, but the areas have since been reclaimed (covered over) in their entirety. In addition, more than 20 percent of coral reefs in Indonesia, 35 percent of reefs in Malaysia, 25 percent of reefs in Papua New Guinea, and 60 percent of reefs in the Philippines are threatened by the impacts of coastal development, including runoff from construction and waste from coastal communities (Burke et al., 2012).

In addition to undergoing intense coastal development activities over the past several decades, many of these areas are not well regulated with respect to coastal runoff and often do not prioritize sustainable management of the coastal environment ( e.g., Gladstone et al., 1999; O. A. Lee, 2010). In contrast, the Great Barrier Reef in Australia and island nations of the central and western Pacific, two other important areas of giant clam distribution, likely do not suffer the same effects of coastal development. Australia strictly enforces an integrated management plan to protect the Great Barrier Reef from the effects of coastal land use change via numerous national and State regulations, and the relatively small populations of most Pacific island nations minimize the impact of coastal development on surrounding waters.

Because T. mbalavuana and T. derasa reside preferentially in offshore coral reef areas, we conclude that habitat degradation of the nearshore environment related to coastal development likely does not pose a significant threat to these two species. With respect to H. hippopus, T. gigas, and T. squamosa, considering the relatively localized impacts of coastal development ( e.g., near heavily urbanized areas) compared to the size of the species' ranges, we conclude that the threat of habitat destruction, modification, or curtailment related to nearshore impacts of coastal development likely poses a low risk to H. hippopus and T. gigas, and a very low risk to T. squamosa. Specifically, we find the risk to be lower for T. squamosa due to the species' expansive geographic range as well as its current abundance and distribution, compared to H. hippopus and T. gigas.

Because the restricted range of H. porcellanus is centered in a region of intense urban development ( i.e., within the densely populated Indo-Malay Archipelago), we conclude that habitat destruction and modification of the nearshore environment poses a moderate risk to the species. In other words, it likely contributes significantly to the species' long-term extinction risk, but given the localized nature of these impacts, does not in itself constitute a danger of extinction in the near future. H. porcellanus is also faced with an acute threat of habitat destruction in the northern portion of its range, where fishermen primarily from Tanmen, China have been razing shallow reef areas of the South China Sea in a search for giant clam shells (see Tanmen Destructive Shell Harvesting below). The damage from these operations is extensive and has likely eliminated any H. porcellanus that may have previously occurred in the islands of the South China Sea.

With respect to T. squamosina, we considered reports indicating specific areas of the Red Sea coastline which have been targeted for development of tourist activities and infrastructure, including Hurghada and the Gulf of Aqaba coastline from Sharm el-Sheikh to Nuweiba (Egypt), Eilat (Israel), and Aqaba (Jordan). These areas are significant, as they directly overlap with the majority of recent T. squamosina observations. As is mentioned above, Roa-Quiaoit (2005) estimated that 70 percent of the Jordanian coastline has been developed into ports, industrial centers, and tourism areas over the past several decades. Additionally, near Hurghada, Mekawy and Madkour (2012) observed dredging activities associated with a newly-constructed harbor and offshore trash disposal from boats. The authors also described industrial and tourist activities in several other areas along the coast of mainland Egypt ( e.g., oil drilling in El-Esh, dense industrial and tourism-related development near Safaga Harbor, high human activity in Quesir), which they argue have likely been the principal factors driving the Start Printed Page 60511 declining abundance of giant clams (primarily T. maxima ) in these areas. Similarly, Hassan et al. (2002) reported “major decreases in giant clam populations between 1997 and 2002, with many small clams seen in 1997 not surviving through to 2002.” The authors attributed this population loss directly to sedimentation from major construction activities in South Sinai. While these studies address impacts to giant clams broadly, it is likely that T. squamosina experiences a similar threat in these areas. Lastly, Pappas et al. (2017) suggest that coastal development may, in combination with overutilization, explain the apparent absence of T. squamosina in the central Red Sea, but do not provide any data to support this claim.

Thus, while we do not have any data specifically linking habitat destruction, modification, or curtailment with the abundance of T. squamosina, based on the species' distribution in nearshore habitats, documented evidence of the impact of coastal development on giant clam abundance generally, and ongoing regional development goals, we conclude that this threat poses a high risk to T. squamosina. In other words, we find that it contributes significantly to the species' long-term extinction risk and is likely to contribute to its short-term extinction risk in the near future.

Despite a relatively small geographic scope, giant clam shell harvesting in the South China Sea has caused severe destruction of shallow water habitats. In the last decade, the small fishing village of Tanmen in China's Hainan province became a regional epicenter for giant clam shell handicraft and trade (Hongzhou, 2016; Larson, 2016; Lyons et al., 2018). From 2012 to 2015, the number of retailers of giant clam shell handicraft increased from 15 to more than 460, the number of shell carving workshops increased from a dozen to more than 100, and by the end of this period, it was estimated that this industry supported the livelihood of nearly 100,000 Tanmen residents (Hongzhou, 2016; Bale, 2017; Wildlife Justice Commission, 2021).

As the industry grew, many Tanmen fishermen increasingly abandoned the traditional fishing industry and shifted focus to giant clam shells as their primary livelihood. With local stocks of giant clams having been depleted by a long history of overharvesting, many fleets resorted to destructive methods of digging out large portions of coral reef using their boat propellers to access the shells of long-dead clams that had been buried under the reef substrate (Wildlife Justice Commission, 2021). As reported by V. R. Lee (2016), harvesting boats are anchored with a long rope or chain against which the propeller holds tension as it carves an arc-shaped scar in the reef (see also Wingfield-Hayes, 2015). The majority of this activity has occurred the South China Sea, and an analysis of satellite imagery revealed extensive damage in the Spratly Islands and Paracels, with an estimated 160 km 2 of coral reef in these areas completely destroyed by the combination of clam dredging and island-building activities (McManus, 2017).

In response to international pressures and following a 2016 arbitral tribunal ruling that China was aware of and responsible for “severe harm to the coral reef environment” in the South China Sea due in part to these activities (Permanent Court of Arbitration, 2016), steps were taken to halt destructive clam shell harvesting operations. China began to enforce anti-corruption measures aimed at undermining demand for the expensive jewelry and statues carved from giant clam shells (Bale, 2017), and in January 2017 the Hainan Province People's Congress passed new regulations that effectively banned the commercial trade of all giant clam species in Hainan (Wildlife Justice Commission, 2021). However, while giant clam shell harvesting operations were found to decline significantly between 2016 and 2018, the Wildlife Justice Commission (2021) reports several lines of evidence to suggest that “illegal giant clam shell trade persists in China in a covert manner with one clear supply area” (Hainan Province), and that a new influx of clam harvesting boats have returned since 2018. Thus, while the extensive damage to the habitat in this region would likely take several decades or more to undo if the ecosystems were allowed to recover, the ongoing threat of illegal harvesting is likely to prevent any substantial habitat recovery in the foreseeable future.

This threat of habitat loss is relevant to the species that are known to occur in this region and that are typically found in reef flat environments where the harvesting operations primarily occur. This includes T. gigas, T. squamosa, H. hippopus, and most critically H. porcellanus, which has a highly restricted range centered in the Sulawesi region of Indonesia but that extends northward into the Philippines and portions of the South China Sea (Wells, 1997; bin Othman et al., 2010; Neo et al., 2017). As is mentioned above, the damage from these operations has likely eliminated any H. porcellanus that may have previously occurred in the islands of the South China Sea.

The pervasive harvest of giant clams for subsistence and domestic sale, and several periods of short-lived but intensive commercial harvest have severely depleted giant clam populations throughout their respective ranges. Once the center of giant clam diversity in the region, the Philippines saw commercial exploitation of giant clams for the international shell trade decimate populations of H. hippopus, H. porcellanus, T. gigas, and T. squamosa. Similar trends have been observed throughout Southeast Asia ( i.e., Indonesia, Singapore, Thailand, Cambodia, Vietnam, and in the South China Sea), where each of these species except T. squamosa is now considered rare or locally extinct (Neo et al., 2017). Likewise, illegal harvest of giant clams for the international clam meat trade, primarily by Taiwanese fishermen or to supply Taiwanese demand, severely reduced giant clam populations throughout the western and central Pacific. As a result, as in Southeast Asia, nearly all of the species (excluding T. squamosa ) are now considered rare or extinct throughout most of their Pacific range (Wells, 1997; Neo et al., 2017). Although international demand (primarily for the aquarium trade) is increasingly met by the growing field of giant clam mariculture, wild-sourced clams are still observed in international trade, and the potential for laundering wild clams with mariculture-produced specimens cannot be discounted (Sant, 1995).

Ongoing harvest for subsistence or domestic market supply, as well as persistent poaching, continues to limit substantial population recovery of giant clams throughout much of their range. As broadcast-spawning organisms with little to no mobility, giant clams are reliant on sufficient population density to facilitate gamete fertilization. Thus, even if small populations of giant clams have survived the years of exploitation, in many cases individuals may be too dispersed to successfully reproduce. Furthermore, the largest individuals were often targeted for the meat and shell trade, leading to altered size structures in remnant giant clam populations. Juveniles and smaller adults are known to be more susceptible to predators and to exhibit lower reproductive output, which will likely continue to limit population recovery in the near future. It is for these reasons that we consider overutilization to be the most significant threat to all seven giant clam species. Below, we Start Printed Page 60512 summarize the threats posed by overutilization related to subsistence fisheries, domestic markets, international trade, and illegal poaching, highlighting specific details related to each affected species.

Giant clams have long been, and continue to be, an important component of traditional livelihoods and culture throughout their geographic range (Craig et al., 2011). As described by Lindsay et al. (2004), “there are few locations within the Pacific where tridacnids are not gathered on a daily basis and found in local markets” (Munro, 1993a). Archaeological evidence from shell middens (piles of discarded shells), which can be found across the Indo-Pacific from as far back as 2000 years ago (Swadling, 1977), as well as anecdotal accounts and local fishing practices all point to the importance of giant clam in Indo-Pacific diets (Neo & Loh, 2014). The shells of giant clams are also frequently carved for use as tools, containers, and ornaments (Copland & Lucas, 1988; Lucas, 1994).

Because H. hippopus is unattached to the substrate and occupies nearshore habitats that are relatively accessible to humans, it is an easy target for reef gleaners ( i.e., fishers that collect organisms by hand from nearshore sand and reef flats). Consequently, it has been a popular species for local harvest and consumption throughout its range. Many years of subsistence harvest have driven widespread population declines and local extirpations from many Pacific island nations and territories, including American Samoa, CNMI, and Guam.

In Fiji, for example, Seeto et al. (2012) discovered H. hippopus fossils in shell middens from two Lapita-era settlements (1100-550 B.C.), and found that shell size increased with midden depth, suggesting that human consumption contributed to population reductions and to its eventual extirpation. Surveys from Palau in the 1970s indicated that H. hippopus populations declined drastically as a direct result of overharvest (Bryan & McConnell, 1975). In Singapore, H. hippopus was considered rare historically (S. K. Lee, 1966; Dawson & Philipson, 1989), but consistent harvest pressure is thought to have prevented the species from establishing a sustainable population in the area and ultimately led to its extirpation (Neo & Todd, 2012). Additionally, H. hippopus continues to be exploited for consumption by coastal communities in Indonesia (Naguit et al., 2012), Malaysia (Neo & Todd, 2012), New Caledonia (Purcell et al., 2020), the Andaman and Nicobar Islands (Nandan et al., 2016), Papua New Guinea (Kinch, 2003), and virtually every other country where it occurs, except for Australia (Wells, 1997).

H. hippopus has also been extirpated from American Samoa, CNMI, and Guam due to a long history of harvest for subsistence consumption and for sale in local markets (Munro and Heslinga, 1983; Sant, 1995; Wells, 1997; Green and Craig, 1999; Pinca et al., 2010). According to Score (2017), giant clams have a “special significance” in American Samoa culture and are often used as offerings during family and community gatherings when available. Moreover, Cunningham (1992) describes the cultural significance of giant clams to the Chamorro people, who live throughout the Mariana Islands, including CNMI and Guam. The common use of H. hippopus as a source of food and to make tools likely led to its extirpation in these locations (Wells, 1997).

Similar to H. hippopus, the tendency of H. porcellanus to occupy shallow nearshore areas make the species highly vulnerable to harvesting (Dolorosa et al., 2014). Heavy exploitation from both subsistence and commercial harvest has led to severe population declines throughout its range (Dolorosa et al., 2014; Neo et al., 2017). Villanoy et al. (1988) determined that H. porcellanus was overexploited in the Philippines as early as the 1980s, and more recently, Rubec et al. (2001) reported that H. porcellanus has been depleted to such an extent that it is no longer commercially viable for harvest in the Philippines. Ultimately, while subsistence harvest was widespread, heavy fishing pressure on giant clam stocks in the Philippines for the commercial shell trade has been the primary cause of population decline, and has led to local extinctions throughout the region (see International Trade in Giant Clam Shells and Shell-Craft below).

Because of their large size and fast growth rates, T. derasa and T. gigas have historically been two of the most widely exploited giant clam species for the consumption of their meat. Reports from throughout their ranges indicate that both species are harvested for subsistence consumption in nearly every location where they occur, with the major exception being the Great Barrier Reef and northwestern (NW) islands of Australia. There are certain Pacific island communities that attribute unique significance to T. gigas as a cultural symbol and place high value on the species as a food item for special occasions (Hviding, 1993). The shell of T. gigas is also valued as a traditional resource among many coastal communities for use as basins or as personal or religious decorations (Juinio et al., 1987; Hviding, 1993; Lucas, 1994). Both T. derasa and T. gigas are reported to have been extirpated from CNMI and Guam as a result of longstanding subsistence harvest (Wells, 1997; Pinca et al., 2010).

Based on the best available scientific and commercial data, it is likely that past and current subsistence harvest has played a significant role in the low abundance of T. mbalavuana throughout its range. S. Lee et al. (2018) attributes its absence from areas outside of the eastern Lau group in Fiji to a combination of ecological factors and “serial overfishing.” Additionally, Lewis and Ledua (1988) reported that in Fiji, T. mbalavuana is occasionally harvested unintentionally with T. derasa, due to the similarity in appearance between the two species. In Tonga, T. mbalavuana has traditionally been harvested for subsistence consumption and to supply domestic markets (Ledua et al., 1993), and although its occurrence in deeper areas may have offered some protection from harvest historically, the advancement of SCUBA and hookah gear has facilitated greater access to previously inaccessible stocks (Lewis & Ledua, 1988; Lucas et al., 1991; Neo et al., 2017). Interviews with a number of traditional fishermen indicated that the abundance of T. mbalavuana in Tonga had declined considerably during their lifetimes (Ledua et al., 1993). Harvest of giant clams for subsistence consumption and domestic markets is ongoing and largely unregulated in Fiji and Tonga.

Compared to the more common T. maxima and T. crocea (that are not themselves subject to this rulemaking), which often co-occur with T. squamosa, T. squamosa is typically larger and easier to physically remove from the reef, which makes it highly susceptible to harvest, particularly in shallow nearshore areas. For this reason, T. squamosa is an important resource in subsistence fisheries in nearly every location across its range, and in several locations, it is the preferred giant clam species for meat consumption (Neo et al., 2017). Few exceptions include Australia, where giant clam harvest is strictly prohibited, and remote areas where the distance from human settlements and infrastructure limits accessibility. However, in most locations where the species occurs, longstanding subsistence harvest has reportedly driven widespread population declines (Neo et al., 2017). Start Printed Page 60513

There are several studies that provide some insight as to the impact of past and current harvest on the abundance of the T. squamosina in the Red Sea. Paleolithic artifacts indicate that modern humans have been exploiting mollusks in the Red Sea for at least 125,000 years (Richter et al., 2008). During this time, Richter et al. (2008) found that giant clam communities in the Red Sea have changed dramatically from before the last interglacial period (122,000 to 125,000 years ago), when T. squamosina constituted approximately 80 percent of the shell remains, to T. squamosina comprising less than 5 percent of shells in freshly discarded shell middens. While the authors acknowledge that variable recruitment rates and mortality among the three Red Sea giant clam species may be attributed to natural disturbances, a concurrent decline in the size of giant clam shells strongly suggests that overutilization has played a significant role (Richter et al., 2008). In general, giant clam stocks in the Red Sea (including T. maxima, T. squamosa, and T. squamosina ) have declined to less than 5 percent of their historical abundance in the 1980s and 1990s, largely due to artisanal reef-top gathering for meat and shells (Richter et al., 2008).

As with H. hippopus and H. porcellanus, the distribution of T. squamosina in shallow, nearshore habitats makes it particularly accessible to reef-top gatherers and exacerbates the threat of overutilization. Bodoy (1984) reported that giant clams had been subject to “heavy exploitation in the vicinity of Jeddah, Saudi Arabia, and they [were] often collected on the reef flat, both for food and for decorative purposes.” Additionally, two firsthand accounts from Gladstone (2000, 2002) described the harvest of “a significant number of clams” (primarily T. maxima, which is not subject to this rulemaking) from the Kharij As Sailah and Kharij Al Qabr areas of the Farasan Islands, noting that “clams were easily harvested in the shallow reef flats.” Overall, the best available scientific and commercial data suggest that giant clams have been harvested extensively in the Red Sea for many years, and given their traditional importance in the diets of coastal communities, harvest is likely ongoing in most areas of the Red Sea.

In areas where giant clams were historically abundant, commercial fisheries often developed alongside subsistence harvesting to supply the local demand for giant clam meat and shells. In Fiji, T. squamosa and T. derasa were harvested by small-scale commercial operations and sold in 11 municipal markets or other direct sales outlets (Lewis et al., 1988). From 1979-1987, annual sale of giant clam meat in the domestic market ranged between 6 and 42 tons (Adams, 1988; Lewis et al., 1988; Wells, 1997). With respect to both species, Lewis et al. (1988) reported that the commercial harvest had driven once abundant populations to low densities, particularly near major urban centers.

Local markets also exist in a number of other Pacific countries and territories, although data on giant clam meat are often not reported at the species level. This is because of the difficulty in identifying the species once the meat is harvested since the shells are often left in the water, or because giant clam meat may have been mixed together or recorded collectively with other shellfish products when it was landed. Wells (1997) reported varying prices for giant clam meat from markets in American Samoa, the Solomon Islands (amounting to about 1 tonne of giant clam meat sold per year), the Marshall Islands ( H. hippopus and T. squamosa ), Niue, Vanuatu, Samoa, and FSM, where in 1990, 3.66 tonnes of giant clam meat were sold in the main markets of Chuuk. Data collected over a 10-week period in Tonga suggested that annual landings of giant clam meat for the domestic market might be 639-1,346 kg (Tacconi & Tisdell, 1992). Wells (1997) noted that in Jepara, Indonesia, giant clam meat was often sold dried, suggesting that the lack of fresh meat may be due to local overutilization of stocks. In Myanmar, clam meat was often marketed fresh for local consumption (Munro, 1989).

Additional reports indicate that domestic markets have continued in many of these localities into at least the early 2000s. In 1998-1999, nearly six tonnes of giant clam products were sold at a single market in Samoa (Skelton et al., 2000). Giant clam meat was still reported to be sold openly at markets in Malaysia as of 2003 (Shau-Hwai & Yasin, 2003). Until bag limits were established in 2009, the declared commercial catch of giant clams in New Caledonia varied between 1.5 and 9 tonnes per year. This included T. derasa, T. squamosa, and H. hippopus, and the authors indicate that it is often the adductor muscle that is sold in stalls of local markets. In the decade since the bag limits were put in place, commercial catch has fallen below 2 tonnes per year (Purcell et al., 2020). Kinch and Teitelbaum (2010) report that a high demand for giant clams to supply the local market in Tonga “has resulted in the over-exploitation of giant clam stocks in some areas.” In Papua New Guinea, Kinch (2003) attributes sparse populations of giant clams to commercial harvest, particularly that of Brooker Islanders. From January to September 1999, the author recorded the total sales of giant clam adductor muscle from Brooker Islanders to a local fishing company, which included 551 kg (or 1,970 clams) of specimens under 400 g and 146 kg (or 170 clams) greater than 400 g. Notably, nearly one-third of the T. gigas individuals included in these sales were not full-grown adults, which likely had an effect on the future productivity of those populations. Similarly, harvesting of giant clams for sale and subsistence use in Vanuatu has led to severely reduced populations that are “now considered close to collapse in many locations despite the presence of suitable habitats for juveniles and adults” (Dumas et al., 2012).

Domestic markets for giant clam shells are often related to the tourism industry. In the Andaman and Nicobar Islands of India, Nandan et al. (2016) report that giant clams, including T. squamosa and H. hippopus, are fished for the tourism-based ornamental shell industry. Additionally, in Thailand, giant clams shells are usually first sold to local traders in Phuket, and then sold to tourists as ornamental shells or various shell crafts ( e.g., ashtrays, soap trays, lamps) (Chantrapornsyl et al., 1996). Shells have also been a popular souvenir for tourists visiting beach and resort areas of the Philippines and Indonesia (Tisdell, 1994). At the Pangandarin and Pasir Putah beach resorts in Java, Indonesia, as many as 39 and 35 giant clam shells, respectively, were available for sale in 2013, despite a prohibition on the harvest and sale of giant clams (except under “exceptional circumstances”) under Indonesian law since 1987 (Nijman et al., 2015).

Prior to this prohibition, a major industry based on the use of giant clam shells for production of floor tiles (a.k.a, `teraso' tiles) led to the extensive harvest of giant clams in Indonesian waters. While much of the shell material was dead shells of T. derasa and T. gigas buried in reef flats, living specimens were known to be taken when found (Lucas, 1994). As described by Lucas (1994), there were tile production centers at Jakarta, Semarang, Bali, Manado, and likely Suabaya in the early 1980s, and clam shell trade routes had developed throughout the Indonesian islands to supply the industry. The best estimates of giant clam shell import to the Semarang tile production center from the nearby Karimun Jawa islands varied between about 20 and 200 tonnes per month over the period 1978-1983 (Brown & Muskanofola, 1985). At the Start Printed Page 60514 Jakarta production center, the clam shell trade was estimated to reach at least 600 tonnes per month in 1982 (Usher, 1984 cited in Lucas, 1994). This industry is no longer active in Indonesia as a result of the 1987 prohibition; however, it is likely that such intense demand contributed significantly to the depletion and current rarity of T. derasa and T. gigas in Indonesian waters and limited any potential for their recovery. Moreover, despite regulatory protection, all species of giant clams remain heavily exploited in Indonesia for their meat and shells, and some for the live aquarium trade (Neo et al., 2017). As a result of this overutilization, the larger giant clam species are now thought to occur in only a few locations archipelago-wide (Hernawan, 2010).

While giant clam meat is consumed throughout the Indo-Pacific region, Taiwan has consistently had the largest market and demand for giant clams. Some of the earliest references indicate that giant clams around Taiwan were depleted many decades ago (Pearson, 1977; Tisdell & Chen, 1994). As local stocks were rapidly exhausted, Taiwanese vessels began to range farther from their home ports, and from the 1960s to the mid-1980s, a surge of Taiwanese fishing vessels began illegally entering the waters of other Pacific nations in search of giant clam adductor muscle, particularly from the larger species, T. gigas and T. derasa (Munro, 1993a; Kinch & Teitelbaum, 2010). Occasionally, these vessels operated under agreements with local communities in exchange for resources (Adams, 1988), but in the vast majority of cases, giant clams were harvested illegally and to an unsustainable degree (Lucas, 1994; Kinch, 2002). The clam poachers progressively worked their way through the Pacific, typically concentrating their efforts on uninhabited islands and reefs where giant clam stocks had been virtually untouched and where local surveillance was limited. Reports of Taiwanese poaching include areas of the Philippines, FSM, Indonesia, Papua New Guinea, the Solomon Islands, Australia (the Great Barrier Reef), Palau, Fiji, Kiribati, and the Marshall Islands (Dawson & Philipson, 1989; Sant, 1995).

Data on the landings of giant clam meat in Taiwan are generally unavailable due both to their illegal nature and because in the records, landings were combined with meat of other marine molluscs and collectively referred to as `ganbei' or `compoy' (Lucas, 1994; Tisdell & Chen, 1994). Tisdell and Chen (1994) report that imports of ganbei ranged from 9 tons in 1977 to 621 tons in 1988. Other estimates of giant clam adductor muscle landings in the 1960s and 1970s range between 100 and 400 tons per year (Carlton, 1984; Dawson & Philipson, 1989). Dawson and Philipson (1989) estimated that during the peak of the Taiwanese fishery for giant clams, harvest did not likely exceed 100 tons of adductor muscle per year, though Munro (1989) regarded this to be an underestimate. Accounting for the potential harvest of the smaller species, T. derasa and H. hippopus, which have an adductor muscle about one-third the weight of T. gigas, those landings correspond to 300,000 to 450,000 clams per year. According to Dawson (1986), “it seems certain [. . .] that the total illegal harvest of giant clams over the twenty-odd years that such activities have occurred in the region can safely be measured in the millions.”

Poaching by long-range Taiwanese vessels peaked in the mid-1970s and gradually declined during the 1980s as the extension of exclusive economic zones, improved surveillance of reef areas, boat seizures, and depleted stocks made the fishery less profitable (Lucas, 1994). In addition, growing pressure from many Indo-Pacific nations forced the Taiwanese government to take stricter actions against giant clam harvesters (Dawson, 1986). The last five `compoy' ( i.e., clam and other shellfish) fishing licenses were rescinded by the Taiwanese government in 1982, mainly due to pressure from the Australian government, and beginning in 1986, the Taiwanese government began rejecting all requests for approval of Taiwanese involvement in any clam fishing activities, regardless of whether foreign agreement or license documents were provided. There is evidence, however, that some poaching activities continued in remote locations. From 1982 to 1987, at least four Taiwanese vessels were apprehended on outlying reefs of the Solomon Islands, in each case carrying clam meat from tens of thousands of giant clams (Govan et al., 1988). The authors note that the small size of the adductor muscles recovered indicates that large clams had likely already been harvested from the reef at an earlier date.

Even as Taiwanese poaching operations declined, the demand for giant clam meat in Taiwan persisted, incentivizing the development of legal commercial fisheries for export throughout the Indo-Pacific (Lewis et al., 1988; Basker, 1991; Lucas, 1994). It was estimated that imports of adductor muscle to Taiwan from these newly formed fisheries totaled approximately 30-40 tons in 1987 and 1988 (Tisdell & Chen, 1994). The fisheries, however, rapidly depleted local stocks and were in most cases short-lived, typically being shut down by local authorities in the span of a few years. In the Maldives, for example, commercial harvest of giant clams began in June 1990 and continued until early in 1991. Two buyers were operating and collectively harvested over 90,000 individuals; one buyer exported 9.8 tons to a Taiwanese buyer (Basker, 1991). Concerned over the high exploitation rate, the Ministry of Fisheries and Agriculture conducted an assessment of the giant clam stocks and fishery, and the resulting report recommended closing off high density areas to further fishing and other restrictions (Basker, 1991). The commercial fishery was subsequently closed, and collection of giant clams remains prohibited in the Maldives. Likewise, a commercial fishery in Papua New Guinea reportedly removed at least 85 tons of adductor muscle over a 5-year period, equivalent to over 750 tons total flesh weight, until it was closed due to depleted stocks (Munro, 1993a).

Adams (1988) described one example of the impact of extreme commercial harvesting pressure in Fiji when a ship named `Vaea' intensively harvested giant clam stocks in 1985. Teams of two harvesters on Hookah gear reportedly caught 50-250 clams per day. At one site, harvesters had taken approximately 80 percent of the standing stock of T. derasa, or nearly 15,000 individuals, from an area of 25.9 square miles down to a depth of 20 meters. Adams (1988) estimated that harvesting rates averaged 70 percent of the total living stock at each reef, less for scattered populations and more for denser ones. From 1984 to 1987, T. derasa catch rates in Fiji varied between 20 and 40 tons of flesh per year, half of which was exported (Adams, 1988). The Fijian fishery as a whole (including municipal markets, wholesale and retail outlets, and exports) landed over 149 tons during this period, with the largest annual harvest reaching 49.5 tons in 1984, the year in which exports began (Lewis et al., 1988).

By the early 1990s, pervasive stock depletions across the Indo-Pacific severely limited Taiwanese imports of giant clam meat (Tisdell and Chen, 1994). In the years since, many countries in the region have banned commercial export of giant clams, some have imposed size and/or bag limits, and many have become signatories to the Convention on International Trade in Endangered Species of Wild Flora and Fauna (CITES). The regulatory Start Printed Page 60515 implications of CITES participation are discussed more thoroughly below in the section on Inadequacy of Existing Regulatory Mechanisms, but one of its requirements is that Parties must submit an annual report of their trade in CITES-listed species, including the number and type of permits and certificates granted, the countries involved, and the quantities and types of specimens traded. All species of giant clams have been listed under appendix II of CITES since 1985, and we can therefore rely to some extent on trade statistics from the CITES reporting database to characterize more recent patterns in the international market for giant clams.

In most cases, countries have limited their reporting to the family or genus level, and outside of a few instances of trade reported for T. derasa, T. gigas, and T. squamosa, no other species were identified specifically. Additionally, of all the transactions reported from 1983 to 2020, 50.4 percent and 39.5 percent were en route to New Zealand and the United States, respectively, while Japan, Singapore, and Australia comprised the remaining 10.1 percent of imports. Law Enforcement Management Information System (LEMIS) trade data provided by USFWS for the period 2016-2020 indicate that nearly all of the imports of giant clam meat over the past 5 years were classified to be of `Personal' nature, likely representing shipments intended for families or friends of Pacific islanders (Shang et al., 1994). Prior to 2000, there are several years in which countries reported significant export of meat from giant clams that had been born or bred in captivity. This includes 3615 kg and 472 kg of T. gigas and T. derasa meat, respectively, exported from Solomon Islands in the 1990s, 1695 kg of T. derasa meat exported from Palau in 1990-1991, and 65 kg of T. gigas meat exported from Australia.

A number of other countries have reported significant export of giant clam meat (species unknown) since the late 1990s, primarily to New Zealand and the United States. Nearly all of these exports are of wild-caught specimens, many of which have been seized or confiscated at the border due to improper or missing CITES export permits. The major exporters of giant clam meat in the last two decades include the Cook Islands, Kiribati, Marshall Islands, FSM, and Tonga. At the higher end, Tonga has exported an average of 1210 kg giant clam meat per year since 2005, and at the lower end, the FSM has averaged 58 kg per year during the same period.

Importantly, a number of the key countries in the trade of giant clam meat are not CITES contracting parties ( e.g., Cook Islands, Kiribati, Marshall Islands, FSM) or have only become so relatively recently ( e.g., Palau in 2004, Solomon Islands in 2007, Tonga in 2016). Thus, any trade reported for these countries is based on values reported by the CITES party involved, and any trade among two non-contracting nations is not included in these estimates. Additionally, the USFWS Office of Law Enforcement in Honolulu, Hawaii has reported that approximately 450 lbs (200 kg) of giant clam meat per year is refused ( i.e., seized, confiscated, or re-exported) from Tonga, FSM, and the Marshall Islands (K. Swindle, USFWS, pers. comm., December, 2017). This is likely a significant underestimate of the total amount of giant clam meat that comes into the United States (as a whole) illegally, as many shipments outside of those that pass through Honolulu likely make it past enforcement inadvertently (K. Swindle, USFWS, pers. comm., December, 2017). For these reasons, the CITES data should be viewed as incomplete, and the reported quantities are likely an underestimate of the total trade in giant clam meat.

Giant clam shells have been used for a variety of decorative and utilitarian purposes, including as beads, vases, lamps, ashtrays, and wash basins. H. hippopus and T. squamosa are considered the most popular giant clam species for the shell trade (Shang et al., 1994) because of their unique physical characteristics ( e.g., attractive colors, bowl-like shape, etc. ), although nearly all of the species have been harvested depending on the intended use, cultural preference, or geographic availability.

The Philippines has historically operated as the largest exporter of giant clam shells and shell-craft, accounting for over 95 percent of the global exports of giant clam shell products from 1983 to 2020. During the peak of the shell trade from 1979 to 1992, total exports from the Philippines surpassed 4.2 million kg (Juinio et al., 1987; Wells, 1997). While all species of giant clam that occur in the Philippines have been exploited, the two Hippopus spp. and T. squamosa were the most frequently used for ornamental purposes and handicrafts, and T. gigas was most frequently used for basins (Lucas, 1994). Juinio et al. (1987) noted that T. derasa may have also been harvested but was often not distinguished by shell dealers as a separate species; rather, it was known as a “heavier variety” of T. gigas or H. porcellanus.

Export records from the Philippines Bureau of Fisheries and Aquatic Resources indicate an initial peak in 1979, when 1,003 tonnes of giant clam shells were exported, corresponding to 895,000 shell pairs. Exports then declined to a minimum of 63 tonnes (or 67,000 shell pairs) in 1982, which was thought to reflect saturation of the international demand. Juinio et al. (1987) reported that the demand for giant clam shells could be met from existing stock piles (except those of H. porcellanus, which was still considered to be highly marketable). However, exports began to increase again in the late 1980s and peaked in 1991 with nearly 1.2 million shells, over 460,000 carvings, and over 1,186 tonnes of shells (equivalent to about 825,000 shell pairs) exported in a single year (Wells, 1997). This occurred despite the government of the Philippines instituting a ban on the export of giant clams (except T. crocea, not subject to this rulemaking) in 1990. In the following year, exports declined to 374,000 shells and 70,000 carvings, likely due to the issuance of CITES Notification No. 663 (16 January 1992) urging all CITES Parties to refuse trade permits for Tridacninae products from the Philippines, in accordance with Philippine legislation (Wells, 1997). In the three decades since 1992, reported exports of giant clam shells from the Philippines have been considerably lower (but not absent), totaling only 8,528 shells and 6,359 carvings (CITES Trade Database, accessed 22 Mar 2022).

Ultimately, widespread subsistence harvest in conjunction with the heavy fishing pressure on giant clams to supply the commercial shell trade decimated the populations of several giant clam species ( e.g., H. hippopus, H. porcellanus, T. gigas, and T. squamosa ), with local extinctions widespread throughout the Philippines (Juinio et al., 1987). Wells (1997) reported that exports until 1992 were dominated by H. hippopus, T. squamosa, and H. porcellanus, with H. hippopus comprising 53 percent of shell exports and 94 percent of carvings. Even the few remaining locations thought to be the species' last strongholds in Philippine waters ( e.g., in the Sulu Archipelago and Southern Palawan) were overharvested by the mid-1980s (Villanoy et al., 1988). Presently, five of the seven giant species considered here ( H. hippopus, H. porcellanus, T. derasa, T. gigas, and T. squamosa ) can still be found in the Philippines and they are all protected by Philippine law. Native T. gigas populations are restricted to small portions of Tubbataha Reefs Natural Park in very low abundances; T. derasa, Start Printed Page 60516 H. hippopus, and H. porcellanus are considered rare, and T. squamosa is considered frequent (Neo et al., 2017).

The United States, Japan, Australia and various European countries have historically been the largest importers of shells and shell-craft from the Philippines (Juinio et al., 1987; Wells, 1997). The United States alone has accounted for over 50 percent of shells and over 60 percent of shell carvings imported between 1983 and 2020. More recently, however, dwindling giant clam populations as well as greater regulatory protections in many countries have limited the shell trade among the traditional major importers of the 1980s. Instead, the majority of international trade has shifted increasingly to illegal means. From 2016 to 2020, the global trade in giant clam shells based on CITES reports totaled 65,129 shells and 221 shells carvings (primarily T. gigas ), of which over 92 percent originated in Indonesia and over 97 percent was imported by China. This has occurred despite a prohibition on the harvest and export of giant clams under Indonesian law since 1987. While not at the same scale as the Philippines, Indonesia has participated in the trade of giant clam shells and shell products since the 1980s. Once giant clams were listed as protected species in 1987, Tisdell (1992) suggested that unrecorded exports of giant clam shells continued to occur from Indonesia to the Philippines. Likewise, several reports in the years since indicate that enforcement of the harvest and export ban remains grossly insufficient and, as is suggested by the CITES reports, substantial export of giant clam shells from Indonesia is ongoing (Allen & McKenna, 2001; Nijman et al., 2015; Harahap et al., 2018).

Presently, the largest market for giant clam shells is in the city of Tanmen, in the southern Chinese Province of Hainan. As discussed previously, a major shell-crafting industry developed in this region during the 2000s. During the peak of the Tanmen shell-crafting industry in 2013-2014, there were an estimated 150 processing workshops supplying 900 craft shops with giant clam shell products in the province (Wildlife Justice Commission, 2021). The annual sales revenue of giant clam shell handicrafts in 2014 was estimated to be $75 million USD (Lyons et al., 2018). In January 2017, the Hainan Province People's Congress passed new regulations banning the commercial trade of giant clams in Hainan. However, investigations conducted 2 years later by the Wildlife Justice Commission (2021) found that there were still more than 100 craft shops in Tanmen, although fewer than 20 percent were still in business. Giant clam shell products were also being sold openly in hundreds of stores in other parts of the Hainan Province, such as Haikou, Sanya, Guangdong and Fujian provinces, and could be ordered on social media platforms, such as WeChat, for delivery to other locations (Wildlife Justice Commission, 2021). This has been corroborated by first-hand news reporting from Scarborough Shoal in April 2019, which documented ongoing shell harvesting by fishing boats flying the Chinese flag (ABS-CBN News, 2019). The ABS-CBN film crew captured many large piles of extracted giant clam shells around the harvesting area, some even extending above the water surface.

This industry primarily targets the shells of deceased clams embedded in the reef substrate; however, live clams are also taken whenever found. Large shells in particular are of the highest value, putting the remaining T. gigas populations in the area at the greatest risk. According to Lyons et al. (2018), “the more valuable [ T. gigas ] pieces come with a certificate of origin, specifying, for example, that it comes from Scarborough Shoal, Spratlys, or Paracels and, occasionally, even the specific reef concerned.” This suggests that T. gigas shells are considered to have different grades or qualities depending on where in the South China Sea they were harvested. As a result of this intense market demand in combination with the destructive shell harvesting methods described above, Gomez (2015) noted that T. gigas is now “virtually extinct” in the center of the South China Sea, including the Paracels, the Macclesfield Banks, and the Spratlys.

The largest current market for giant clams is that of live specimens for the aquarium trade and, to a lesser extent, to supply broodstock for mariculture operations. It can be difficult to distinguish the purpose of live specimen transactions from CITES reports alone, but Wells (1997) concluded “that the aquarium trade is now the main market for both wild-collected and mariculture clams.” In the 25 years since that report, the market for giant clams as aquarium specimens has continued to grow, with giant clams now representing one of the most desired groups of invertebrates in the aquarium industry (Wabnitz et al., 2003; Teitelbaum & Friedman, 2008; Mies, Dor, et al., 2017). They are a sought-after commodity and have been described as a “must have” item by collectors and aquarium hobbyists (Lindsay et al., 2004). The smaller, more brightly colored species ( i.e., T. maxima and T. crocea, species not subject to this rulemaking) are by far the most popular in the marine ornamental trade, but T. squamosa, T. gigas, T. derasa, and H. hippopus are also traded in smaller numbers (Lindsay et al., 2004; Kinch & Teitelbaum, 2010).

CITES records indicate that the primary source countries for the seven species considered here include Australia, Palau, Vietnam, Solomon Islands, and Marshall Islands, among others. Notably, the vast majority of giant clams exported from Australia, Palau and Marshall Islands have been bred/born in captivity and thus pose less risk to wild populations; however, much of the export volume from Vietnam, Solomon Islands, Tonga, and more recently, Cambodia, are of wild-sourced specimens.

Of the seven species considered here, T. derasa and T. squamosa have been the most popular in the trade of live specimens, according to CITES reports. Comparing the two, exports of T. derasa have been higher from Pacific island nations, such as Palau, Solomon Islands, Marshall Islands, Tonga, and FSM. Nearly all recent trade of this species is of captive-bred/born individuals, with wild harvest in these countries contributing minimally, if at all, by 2010. T. squamosa, by comparison, has been harvested more often by countries in Southeast Asia, such as Vietnam, Cambodia and Indonesia, and many of the recent exports from Vietnam and Cambodia are of wild-sourced individuals. Exports from Vietnam peaked in the 2000s and have declined over the last decade, while exports from Cambodia have increased more recently, reaching nearly 10,000 T. squamosa specimens in 2019. Neo et al. (2017) notes that the decline in exports from Vietnam is related to trade restrictions implemented in response to concerns and regulations sourcing wild specimens, and it is possible that some giant clams from Vietnam have been re-routed for export through Cambodia. In fact, according to CITES reports, over 99 percent of the recorded T. squamosa exports from Cambodia were imported by Vietnam, implying a close trade connection between the two nations. Neither H. hippopus nor T. gigas have been harvested consistently for the aquarium trade, although with respect to T. gigas, Craig et al. (2011) attributed this to a lack of available supply rather than a decline in demand. Because of declining populations throughout much of its range, the majority T. gigas Start Printed Page 60517 specimens for the aquarium trade in the late 2000s were being sourced from just a few small island nations, primarily Tonga (Craig et al., 2011). However, according to CITES records, trade of T. gigas from Tonga has not occurred since 2011. T. gigas is not considered to be native to Tonga, but had reportedly been introduced there as part of stock enhancement and aquaculture programs (Munro, 1993a; Wells, 1997). According to a CITES assessment in 2004, the introduced populations of T. gigas had by that point died out, so it is not clear where the exported specimens originated (CITES, 2004a).

The United States has consistently been one of the top import markets for live giant clams, along with Canada, several countries in Europe, Japan and Hong Kong (Wabnitz et al., 2003; Craig et al., 2011). In 2002, 70 percent of the giant clams exported for the aquarium trade went to the United States (Mingoa-Licuanan & Gomez, 2002 cited in Craig et al., 2011). According to CITES reports from 1983-2020, the United States has accounted for 24.2 percent of the total recorded imports of H. hippopus, 53 percent of imports of T. derasa, 56 percent of imports of T. gigas, 38.4 percent of imports of T. squamosa, and 12.8 percent of imports of Tridacninae specimens that were not identified to the species level. Throughout the full record since 1983, 50.6 percent of the imports to the United States were recorded as captive-bred/born specimens, while 44.7 percent were recorded as wild-sourced; however, according to LEMIS data for the period 2016-2020, wild-sourced specimens now represent only 4 percent of imports, with captive-bred/born specimens accounting for the remaining 96 percent.

After considering the best available scientific and commercial data presented above and in the Status Review Report, we reached several different conclusions regarding the threat of overutilization for various commercial purposes to the seven giant clam species considered here. We summarize these conclusions of the risks for this threat category for each species below.

A long history of subsistence harvest punctuated by two decades of intense commercial exploitation for the shell and shell-craft industry have led to severe declines of H. hippopus populations throughout its range. As is mentioned above, H. hippopus has been one of the most popular giant clam species in the international shell trade because of its size and physical characteristics ( e.g., attractive colors, bowl-like shape) (Shang et al., 1994). The Philippines operated as the largest exporter of giant clam shells in the 1970s and 1980s, with H. hippopus being the most frequently traded species during this time. According to CITES annual report data, over 277,000 kg, 341,000 shell pairs, 2 million “shells” (without associated units), and 1.7 million shell carvings of H. hippopus were exported from the Philippines from 1985 to 1993. This period of intense harvest left H. hippopus severely depleted throughout the Philippines and much of Southeast Asia, where it remains at very low abundance except in a few isolated areas.

While most countries have imposed prohibitions on the commercial exploitation of giant clams and CITES records indicate that recent international trade of H. hippopus is minimal, subsistence harvest continues to pose a threat to the species in most populated areas where it occurs. Without more thorough monitoring from many of these locations, it is difficult to determine if this ongoing harvest is causing further population declines, but at the very least, it is likely preventing any substantial rebound of depleted populations throughout its range. An important exception is Australia, where anecdotal reports suggest that strictly enforced harvest bans have been largely successful in preventing overutilization and protecting reportedly healthy stocks of this species. For these reasons, and considering the documented effects of past harvest for the international shell trade on species abundance, we conclude that overutilization of H. hippopus contributes significantly to the species' long-term risk of extinction.

As is mentioned above, heavy fishing pressure on H. porcellanus in the Philippines for the commercial shell trade has been the primary cause of population decline, and has led to local extinction of the species throughout the region (Juinio et al., 1987). Villanoy et al. (1988) documented the export volume of giant clam shells from one major shell dealer in the Zamboanga region of the Philippines, San Luis Shell Industries. From 1978 to 1985, approximately 413,230 pairs of shells were exported by this company, of which about 37 percent (or nearly 153,000) were H. porcellanus. Based on comparisons to data provided by Juinio et al. (1987), the authors estimate that this shell dealer accounted for approximately 18.5 percent of the estimated total export volume of giant clam shells from the Zamboanga region during this period, suggesting that the total harvest of H. porcellanus during this period was likely much higher. According to CITES annual reports, from 1985 to 1992, the Philippines exported an additional 576,298 H. porcellanus shells, 145,926 shell pairs, 179,043.5 kg of shell material, 293,110 shell carvings, and 38,138 kg of shell carvings. All were either reported to be wild-caught or did not include the source of harvest. No other nation reported export volumes close to this magnitude during this time. Malaysia reported the export of 500 kg of shell material in 1985, and Indonesia reported the export of 100 kg of shell material in 1986, but there are no other CITES reports relating to H. porcellanus from these two countries. CITES reports also indicate that 16 H. porcellanus were exported as live specimens from the Philippines to Norway and Germany in 1992 and 1997, respectively; there have been no exports of live H. porcellanus specimens since. Additionally, export of 35 live specimens from the Solomon Islands to Germany and the United States was reported in 1997, but this is likely a reporting error, as this species has not been observed in the Solomon Islands.

In Indonesia, H. porcellanus is extremely rare. It was historically, and still is reportedly, exploited for its meat and shells when it is found (Pasaribu, 1988; Neo et al., 2017). Consequently, the species is now thought to occur in only a few locations in Indonesia (Hernawan, 2010; Wakum et al., 2017). Likewise, H. porcellanus abundance is also declining in Malaysia, in part due to ongoing harvest of meat and shells (Neo et al., 2017). As they are considered rare and are restricted to Sabah and Pulau Bidong on the east coast of Peninsular Malaysia, continued harvest likely threatens the persistence of these populations. Additionally, international poaching continues to pose a threat, as authorities from both Malaysia and the Philippines reported an increase in the number of fishing boats illegally harvesting giant clams as recently as 2010-2015 (Neo et al., 2017).

Overall, it is clear that intense historical commercial demand for H. porcellanus led to severe population declines and the current low abundance of the species throughout its range. Furthermore, ongoing subsistence harvest and poaching of giant clams throughout the South Asia region continue to threaten the few Start Printed Page 60518 populations of H. porcellanus that remain. Accordingly, we conclude that overutilization is contributing significantly to the long-term extinction risk of H. porcellanus and is likely to contribute to short-term extinction risk in the near future.

Due to the similarities of the threat to T. derasa and T. gigas, we present the conclusions for these two species together. Overall, the best available scientific and commercial data indicate that both T. derasa and T. gigas have been widely exploited for many years for their meat, shells, and as popular aquarium specimens. Many consider T. gigas to be the most heavily exploited among all giant clams (Craig et al., 2011; Mies, Scozzafave, et al., 2017; Neo et al., 2017), noting its extensive harvest for its meat and shells in nearly every location where it has occurred. Similarly, T. derasa is also highly valued as a food source throughout the entirety of its range. For over two decades, both species were subject to an intense commercial demand for the meat of their adductor muscle, primarily from consumers in Taiwan. Widespread harvest and poaching to supply this commercial market caused severe, documented population losses throughout the majority of the species' ranges. The commercial demand for giant clam meat began to decline by the end of the 1980s due to the low abundance of remaining populations in conjunction with stricter harvest regulations and improved enforcement. However, due to their traditional importance as a food source in many cultures, subsistence harvest of T. derasa and T. gigas continues in most locations throughout their respective ranges, which may lead to further population decline and likely prevents any substantial recovery of depleted populations.

Furthermore, recent CITES records and available reports indicate that T. gigas shells continue to be traded in high volumes from Indonesia to China despite a prohibition on the harvest and export of giant clams that has been in place under Indonesian law since 1987 (Allen & McKenna, 2001; Nijman et al., 2015; Harahap et al., 2018).

The Great Barrier Reef and outlying islands of NW Australia are, for the most part, an exception to the range-wide trends for these species. Northern areas of the Great Barrier Reef were subjected to widespread poaching of T. derasa and T. gigas in the 1970s and 1980s, but improved surveillance of Australian fishing grounds and stronger enforcement of harvest bans reduced the poaching pressure considerably. As a result, harvest of the two species in Australian waters since the 1980s has likely been minimal. Recent quantitative estimates of abundance are scarce, but based on past surveys and the strong protective measures in place, most experts consider the Great Barrier Reef to have relatively large, stable populations of giant clams, including T. derasa and T. gigas (Neo et al., 2017; Wells, 1997).

Overall, we consider the severe impact of past harvest on species abundance range-wide alongside reports of ongoing subsistence and commercial use in most locations except Australia. Based on this information, we conclude that overutilization of T. derasa and T. gigas contributes significantly to the species' long-term extinction risk. However, because the threat is minimal in Australia, which represents a substantial proportion of suitable habitat within these species' respective ranges, and where populations are reportedly healthy, this factor likely does not constitute a danger of extinction to the two species in the near future.

As is discussed above, harvest of giant clams for subsistence consumption and domestic markets is ongoing and largely unregulated in Fiji and Tonga. Thus, given the highly restricted range and general scarcity of T. mbalavuana, we conclude that the threat of overutilization for commercial purposes contributes significantly to the species' long-term extinction risk and is likely to contribute to the short-term risk of extinction in the near future.

T. squamosa has been harvested extensively for both subsistence and commercial purposes for several decades, which has led to documented population declines in many areas of its range (Neo et al., 2017). While most countries have imposed prohibitions on the commercial exploitation of giant clams, the demand for T. squamosa in the ornamental aquarium market continues to pose a threat to wild populations in Cambodia and Vietnam. Additionally, subsistence harvest is ongoing in most populated areas where the species occurs. Without more thorough monitoring from many of these locations, it is difficult to determine if this ongoing harvest is causing further population declines, but at the very least, it is likely preventing any substantial rebound of depleted populations throughout its range. As with other species, an important exception is Australia, where anecdotal reports suggest that strictly enforced harvest bans have been largely successful in preventing overutilization and protecting reportedly healthy stocks of giant clams. For these reasons, and considering the documented effects of past harvest on species abundance, we conclude that overutilization of T. squamosa contributes significantly to the species' long-term risk of extinction, but does not in itself constitute a danger of extinction in the near future.

The best available scientific and commercial data suggest that giant clams (including T. squamosina ) have been harvested extensively in the Red Sea for many years. Given their traditional importance in the diets of coastal communities, harvest is likely ongoing in most areas of the Red Sea. In combination with the natural accessibility of T. squamosina in shallow nearshore areas, this past and ongoing harvest pressure has likely contributed significantly to the exceptionally low abundance of this species throughout the region. We are aware of 30 documented observations of T. squamosina since its re-discovery in 2008. This includes 17 specimens from the Gulf of Aqaba and northern Red Sea (Roa-Quiaoit, 2005; Richter et al., 2008; Huber & Eschner, 2011; Fauvelot et al., 2020), seven individuals from the Farasan Islands in southern Saudi Arabia (Fauvelot et al., 2020; K.K. Lim et al., 2021), and six individuals from an unnamed site in the southern Red Sea (Rossbach et al., 2021). As an indication of its exceptionally low abundance at present, Rossbach et al. (2021) surveyed 58 sites along the entire eastern coast of the Red Sea, from the Gulf of Aqaba down to southern Saudi Arabia, and observed six T. squamosina at only one survey site in the southern Red Sea. Similarly, Pappas et al. (2017) did not encounter any T. squamosina at nine survey sites in the central Red Sea. With so few T. squamosina remaining, we conclude that this factor is likely to contribute to short-term extinction risk in the near future.

There are a number of infectious diseases and parasites that have been reported in giant clams, most often either bacterial or protozoan in origin (Braley, 1992; Mies, Scozzafave, et al., 2017). Bacterial infections are most often caused by Rickettsia sp., which infect the ctenidia (gill-like respiratory organ) and the digestive lining of the clam (Norton et al., 1993; Mies, Scozzafave, et al., 2017). Protozoan Start Printed Page 60519 infections are often caused by either Marteilia sp. or Perkinsus spp. Giant clams with Marteilia infections show no external symptoms, but the infection will eventually cause superficial lesions on the kidney (Mies, Scozzafave, et al., 2017).

Perkinosis, also known as pinched mantle syndrome, is caused by Perkinsus spp. Giant clams typically do not exhibit any symptoms of the infection until they become immunosuppressed due to some other environmental stress. At that point, the protozoan population is able to proliferate, and in some cases causes mortality of the host clam. Once the clam dies, trophozoites of Perkinsus spp. become waterborne and can infect nearby individuals (Mies, Scozzafave, et al., 2017). A significant rate of infection by Perkinsus spp. was previously observed at several sites on the Great Barrier Reef, with 38 of 104 sampled individuals (including T. gigas and H. hippopus ) being infected (Goggin & Lester, 1987). Additionally, several Perkinsus infections were observed in association with a mass mortality of giant clams at Lizard Island in Australia in 1985; however, the cause of the death was never determined and the infections may have been coincidental (Alder & Braley, 1989).

Giant clams are also affected by external parasites, including snails, sponges, and algae. Pyramidellid snails are particularly invasive, exploiting the clams by inserting their proboscises ( i.e., feeding appendage) into the clam tissue and consuming the hemolymph within the siphonal mantle (Braley, 1992). On rare occasions, the snails may prove fatal to juvenile clams, but they are unlikely to cause mortality in adult clams (Mies, Scozzafave, et al., 2017). Other external parasites ( i.e., sponges and algae) are typically more of a nuisance to giant clams rather than fatal infestations. For instance, boring sponges ( e.g., Cliona) may drill holes into the clam's shells, and algae ( e.g., Gracilaria sp.) may overcrowd the shell and prevent the mantle from extending, but neither of these parasites typically cause mortality (Mies, Scozzafave, et al., 2017).

When disease is present, giant clams exhibit physical symptoms that are usually quite obvious, including a retracted mantle (typically the initial symptom), a gaping incurrent siphon (indicative of more advanced disease), and discarding of the byssal gland (Mies, Scozzafave, et al., 2017). While some diseases may respond to antibiotics, concentrations and dosages for giant clams have not been well studied. Overall, the prevalence and severity of disease likely vary across the extensive range of giant clams, but there is no information to indicate that disease is an operative threat to giant clams to the extent that it is significantly increasing the extinction risk of the species addressed here.

Much of what is known regarding predation of giant clams has been learned from the ocean nursery phase of mariculture activities, when juveniles are outplanted to their natural environment (Govan, 1992). Giant clams are widely exploited as a food source on coral reefs, with 75 known predators that employ a variety of attack methods (see table 3 in Neo, Eckman, et al. (2015) for a comprehensive list). These predators are largely benthic organisms, including balistid fishes, octopods, xanthid crabs, and muricid gastropods (Govan, 1992). The fishes ( e.g., wrasse, triggerfish, and pufferfish) prey on both juvenile and adult giant clams by biting the mantle edge, the exposed byssus, or extended foot. Other predators ( e.g., crabs, snails, and mantis shrimp) have been observed chipping, drilling holes into, and/or crushing the shells of smaller individuals (see review in Neo et al. 2015). Heslinga et al. (1984) observed several instances of predation firsthand in association with giant clam culturing operations in Palau. Large muricid snails ( Chicoreus ramosus ) were found to attack, kill, and eat T. squamosa specimens up to at least 300 mm shell length, and a single hermit crab was able to crush 26 T. gigas juveniles (20-30 mm) when inadvertently left in the culture tank. The authors also noted circumstantial evidence of predation by Octopus spp. in Palau based on the characteristically chipped shells of giant clams often observed outside of octopus dens.

Giant clams employ a suite of defense mechanisms, both morphological and behavioral, to resist predatory attacks (Soo & Todd, 2014). For example, their large body size, small byssal orifice, and strong shells create physical barriers to predation. In addition, T. squamosa is equipped with hard, scaly projections on its shell known as scutes that have been shown to provide protection from crushing predators (Han et al., 2008). Giant clams also exhibit behavioral defense mechanisms, such as aggregation, camouflage, rapid mantle withdrawal (Todd et al., 2009) and squirting water from siphons (Neo & Todd, 2010). While the ability of giant clams to endure intense predation pressure and acclimate to repeated disturbance can have implications on their survival, these attributes have not been studied extensively (Soo & Todd 2014). Similar to disease, we find no evidence to indicate that predation presents a significant threat to the extinction risk of the giant clam species addressed here.

Giant clams are protected from overutilization to varying degrees by a patchwork of regulatory mechanisms implemented by the many countries, territories, and Tribal entities within their range. These local-scale measures are also supplemented by CITES international trade regulation, and in some areas, by multi-national initiatives aimed at supporting sustainable regional giant clam fisheries. We address each of these regulatory mechanisms in the following section and also include a brief discussion of international climate change regulations in the context of their potential effects on the extinction risk of giant clams. More detailed information on these management measures can be found in the accompanying Status Review Report (Rippe et al., 2023).

There is national legislation in place in more than 30 countries and territories specifically related to the conservation of giant clams. Many also provide indirect protection via marine parks and preserves or ecosystem-level management plans. In general, management of giant clam populations has been most effective in Australia, where early harvest prohibitions and strict enforcement have been largely successful in stabilizing giant clam population declines and limiting illegal poaching (Wells et al., 1983; Dawson, 1986; Lucas, 1994). Many Pacific island nations have also implemented strict measures to mitigate fishing pressure on giant clams. These include total bans on commercial harvest and export of giant clams ( e.g., Fiji, Papua New Guinea, Solomon Islands, Vanuatu, FSM, Guam, Republic of Kiribati and Palau), minimum size limits for harvest ( e.g., French Polynesia, Niue, Samoa, American Samoa, Guam, and Tonga), harvest quotas or bag limits ( e.g., New Caledonia, the Cook Islands, and Guam), and gear restrictions on the use of SCUBA or certain fishing equipment (Andréfouët et al., 2013; Kinch & Teitelbaum, 2010; Neo et al., 2017). We are not aware of any local regulations in place restricting the harvest of giant clams in CNMI, although the harvest of all coral reef-associated organisms in Guam and CNMI is managed under the 2009 Fishery Ecosystem Management Plan for the Mariana Archipelago. Start Printed Page 60520

In many Pacific islands, national legislation is also supplemented or enforced by way of customary fishing rights and marine tenure systems. This is the case in parts of Fiji, Samoa, Solomon Islands, Cook Islands, Papua New Guinea, and Vanuatu, where indigenous village groups hold fishing rights and regulate access to adjacent reef and lagoon areas (Govan et al., 1988; Fairbairn, 1992a, 1992b, 1992c; Wells, 1997; Foale & Manele, 2004; Chambers, 2007; UNEP-WCMC, 2012). The rights of each Tribal group over its recognized fishing area include the right to carry out and regulate subsistence fishing activities. In certain circumstances, a local village or villages may impose temporary area closures to reduce harvesting pressure and allow giant clam stocks to recover (Foale & Manele, 2004; Chambers, 2007).

The effectiveness of these measures to address overutilization, however, is variable, and with limited capacity for long-term monitoring programs in the region, it can be difficult to properly assess. In general, anecdotal reports indicate that giant clam populations throughout the Indo-Pacific region continue to face severe stress (Neo et al., 2017).

In the Philippines, for example, numerous reports following the giant clam export ban in 1990 suggested problems with enforcement, particularly within Badjao communities. The Badjao people live a predominantly seaborne lifestyle and are spread across the coastal areas of the southern Philippines, Indonesia, and Malaysia, with a total population estimated to be around one million (Government of the Philippines National Statistics Office, 2013; Rincon, 2018). Many in these communities were encouraged by buyers to collect and stockpile giant clam shells in the hope that the ban on giant clam export would eventually be lifted (Salamanca & Pajaro, 1996; Wells, 1997). Middlemen would reportedly advance money and provisions to fishermen on the condition that the shells be sold to them exclusively. The Badjaos would then harvest clams, consume or discard the meat and stockpile the shells (Salamanca & Pajaro, 1996). The non-compliance was exacerbated by varying interpretations of the law by Philippine authorities, who issued numerous CITES export permits in 1991-1992 under the presumption that the law excluded `pre-ban stock' (Wells, 1997). The ban was ultimately never lifted, and CITES reports indicate that the legal export of giant clams has ended in the Philippines. However, a recent report by the Wildlife Justice Commission (2021) found that authorities have continued to find stockpiles of giant clam shells throughout the country. Authorities have made 14 seizures from 2016 to 2021, including of a 132,000-ton stockpile in the southern Philippines in October 2019 and several stockpiles in the Palawan area, one of the centers of giant clam abundance in the region. It is unclear how many of the shells were collected prior to the ban in 1990 versus how many were collected illegally in the years since, but it suggests that the market for giant clam shells remains active more than 30 years after the ban was instituted. In an interview with ABS-CBN News (2021), Teodoro Jose Matta, executive director of Palawan Council for Sustainable Development, claimed that the clams are being smuggled to Southeast Asia and Europe and attributed the activities to a criminal syndicate operating across the Philippines, not just in Palawan. To our knowledge, these claims have not been corroborated by authorities.

Similar confusion over giant clam harvesting regulations has impeded the effectiveness of regulations to address overutilization in Papua New Guinea. An initial ban on the purchase and export of wild-caught giant clams was put in place in 1988 by the Department of Environment and Conservation (DEC) (Kinch, 2002; UNEP-WCMC, 2011). It was lifted in 1995 following the development of a management plan for sustainable harvest; however, Kinch (2002) noted that although the Milne Bay Province Giant Clam Fishery Management Plan had been drawn up by the National Fisheries Authority (NFA)—the CITES Scientific Authority for Papua New Guinea—it was never officially adopted “owing to confusion between the NFA and the DEC over responsibility for the enforcement of the plan and because of opposition from commercial and political interests.” The ban was reinstated in 2000 following reports that a local fishing company was exporting wild-caught specimens as captive-bred. Kinch (2002) suggested that further “conflict and confusion between the fisheries and environmental legislation” ensued and recommended that it be addressed to ensure success of the regulation. Unfortunately, the last known monitoring survey in Papua New Guinea was conducted in 1996 in the Engineer and Conflict Island Groups. Based on survey findings, it was estimated that the overall density of giant clams (all local species) had declined by over 82 percent since the early 1980s, while the density of T. gigas had declined by over 98 percent (Ledua et al., 1996). Without more recent data, we cannot determine whether the regulatory actions have had any effect on this trajectory.

Furthermore, despite various levels of harvest and export prohibitions among many of the Pacific island nations, Kinch and Teitelbaum (2010) highlight a number of common challenges to ensuring sustainable giant clam management in these communities. This includes a lack of capacity for conducting stock assessments, promoting giant clam mariculture, enforcing harvesting regulations, and monitoring and actively managing giant clam harvest. The list also includes a lack of education and awareness among community members about sustainable giant clam harvest, uncoordinated legislative structure, and a lack of international collaboration to promote a sustainable and scalable market for captive-bred giant clams. According to the assessment by Kinch and Teitelbaum (2010), each of the countries experiences these challenges to a different degree, but overall it highlights the difficulties in effectively managing giant clam populations for smaller island nations that may lack enforcement resources or expertise. This is compounded, in many cases, by the traditional importance of giant clams as a coastal resource, which may limit the willingness among indigenous communities to adopt the recommended practices (Neo et al., 2017).

In addition to the two examples above, there are a number of other reports highlighting the inadequacy of local regulations to address the threat of overutilization throughout Indo-Pacific region. In Malaysia, and particularly in Borneo, illegal collection of giant clams was reported to occur despite a national prohibition on the collection of giant clams (Ibrahim & Ilias, 2006). In the Solomon Islands, commercial harvest and export was banned in 1998, but CITES records indicate that export of wild-sourced clams and shells from the Solomon Islands has continued to occur throughout the 2000s and as recently as 2015. Yusuf and Moore (2020) note that despite being fully protected under Indonesian law and widespread public awareness of associated harvest prohibitions, giant clams are still harvested regularly in the Sulawesi region of Indonesia, including mass collections for traditional festivals. When asked about enforcement of legal protections, locals explained that surveillance in certain areas was generally absent (or at best sporadic and ineffective), and throughout the region was “minimal, often perceived as misdirected and/or unfair, and mostly Start Printed Page 60521 ineffective.” Due in part to the ineffectiveness of the existing regulations, Yusuf and Moore (2020) have documented progressive declines in giant clam populations from 1999 to 2002, 2007, and 2015, with “some larger species ( T. gigas, T. derasa, T. squamosa, and H. porcellanus ) no longer found at many sites.” Low abundance of T. squamosa, T. derasa, T. gigas, and H. hippopus has also been observed in the Anambas Islands of Indonesia, where Harahap et al. (2018) report ongoing harvesting and habitat destruction. In Mauritius, giant clams are protected under the Fisheries and Marine Resources Act of 2007, but a recent study shows continued population declines even within marine protected areas (Ramah et al., 2018). There are few studies highlighting success of local regulations, but Rossbach et al. (2021) report based on interviews with local fishermen that giant clams are no longer targeted in Saudi Arabia since a harvest prohibition was imposed in the early 2000s. Although we note that giant clams were listed as “Taxa of High Conservation Priority” in Saudi Arabia's First National Report to the Convention on Biological Diversity in 2004 (AbuZinada et al., 2004), we could not find any national regulations associated with this designation.

The general lack of long-term monitoring data makes it difficult to evaluate the effectiveness of local regulatory mechanisms to address threats from overutilization for commercial purposes beyond relying on anecdotal reports. In many areas, for example, harvest prohibitions have been instituted within the last decade or two, but there have been few, if any, follow-up surveys conducted in the time since. However, using what survey data are available, we can infer that existing regulations have been inadequate to protect any of the seven giant clam species from overutilization. Despite widespread commercial export bans, the capacity for enforcing existing regulations is often limited, existing regulations do not restrict continued subsistence harvest in many locations, and illegal harvest and trade of giant clams (particularly for the shell trade) continues to occur (Kinch & Teitelbaum, 2010; Yusuf & Moore, 2020; Wildlife Justice Commission, 2021). For these reasons, we conclude that the inadequacy of local harvest regulations to address overutilization associated with subsistence fisheries and illegal harvest in all locations outside of Australia contributes significantly to the long-term extinction risk of H. hippopus, T. derasa, T. gigas, and T. squamosa. Moreover, considering the exceptionally low abundance and restricted ranges of H. porcellanus and T. mbalavuana, we conclude that the inadequacy of local harvest regulations to address overutilization associated with subsistence fisheries likely also poses a short-term risk of extinction for these species in the near future.

With respect to T. squamosina, we also considered the likely effect of marine protected areas (MPAs), which are the principal regulatory mechanism relevant to the protection of giant clams from overutilization in the Red Sea. Based on the known distribution of T. squamosina, there are three MPAs that are most relevant to the species: Ras Mohammed National Park in South Sinai, Aqaba Marine Park in Jordan, and the Farasan Islands Protected Area in southern Saudi Arabia. These are three areas where T. squamosina has previously been observed, and remaining populations likely benefit from the prohibitions against hunting or collecting wildlife within the boundaries of the MPAs. According to Gladstone (2000), a prohibition on the collection of giant clams in the Farasan Islands appeared to be effective, with harvest-related mortality falling to 1.7 percent, compared to an estimated 11.1-47.8 percent mortality rate prior to the regulation. Ras Mohammed National Park is also regarded as effective in the protection of 345 km 2 of marine area, which includes important fringing reef habitats in the southern portion of the Gulf of Aqaba.

Collectively, however, these three protected areas encompass only a small fraction (5,756 km 2 ) of the coastal marine area in the Red Sea. Throughout most of the region, harvest of giant clams remains largely unregulated. As is described above, historical harvest of giant clams has likely led to the exceptionally low abundance of T. squamosina in the Red Sea, and there are reports that harvest is ongoing in most locations. Thus, given the lack of national regulations pertaining to the harvest of giant clams in the Red Sea, we find that an inadequacy of existing regulatory mechanisms to address the threat of overutilization contributes significantly to the long-term extinction risk for T. squamosina. However, because several MPAs have been established in key areas where the species has been recently observed, we conclude that this factor does not in itself constitute a danger of extinction in the near future.

Giant clams are listed under appendix II of CITES, which consists of species that “are not necessarily now threatened with extinction, but may become so unless trade is closely monitored.” This designation does not necessarily limit trade of the species, but instead requires that any species in trade has been legally acquired and a finding that trade is not detrimental to the survival of the species by the exporting Party's Scientific Authority. CITES regulates all international trade in giant clams (including living, dead, and captive-bred specimens) and requires the issuance of export permits and re-export certificates. For each listing, a Party may take a reservation to that listing, meaning the Party will not be bound by the provisions of the Convention relating to trade in that species. While the reservation is in effect, the Party is treated as a non-Party regarding trade in the particular species. Currently, Palau has reservations on all of the giant clam listings. Parties with reservations or other non-Parties that trade with a CITES Party are required to have documentation comparable to CITES permits. It is up to the Party State receiving the export whether to accept this documentation in lieu of CITES permits.

Effective enforcement of CITES is largely dependent on whether the countries involved are signatories to the Treaty, as well as the accuracy of trade data supplied by the Parties (Wells, 1997). Of the 60 countries and territories where the seven giant clam species considered here naturally occur, 52 are signatories to the Treaty. This includes the United States and all of its Pacific island territories. A number of countries that have historically played a significant role in the trade of giant clam products are not CITES contracting parties ( e.g., Cook Islands, Kiribati, Marshall Islands, FSM) or have only become so relatively recently ( e.g., Palau in 2004, Solomon Islands in 2007, Maldives in 2012, Tonga in 2016). However, all CITES Parties trading in CITES listed species with countries that are not members of CITES, or with CITES Parties that have taken a reservation on the species, must still seek comparable documentation from the competent authorities of the reserving Party or the non-member country, which substantially conforms with the usual requirements of CITES for trade in the species. Importantly, even in instances where exporting countries are Parties to CITES, the trade data must be interpreted cautiously for reasons that may include frequent Start Printed Page 60522 discrepancies in recorded import and export quantities, inconsistencies in the terms or units used to describe the trade, occasional omissions of seized or confiscated specimens, erroneous data entry, and delays or failure to submit trade statistics to the Secretariat (UNEP-WCMC, 2012; CITES, 2013; Neo et al., 2017).

Overall, the threat of inadequate regulations related to the international trade of giant clam products is relevant only to the species that are traded in significant quantities. This does not include T. mbalavuana or T. squamosina, as we could not find any information to indicate that there has ever been an international commercial export market for these species. With respect to H. hippopus, T. derasa, and T. squamosa, CITES annual report data indicate that the large majority of recent international trade of these species is of culture-raised specimens and products. Since 2010, only 2,756 H. hippopus shells and 7,302 live H. hippopus specimens have been recorded in trade. Approximately 51.2 percent of traded shells during this period were of wild-caught origin, primarily from the Solomon Islands in 2014, while 34.1 percent were reportedly culture-raised. Of the live specimens, only 2.6 percent were wild-caught, while 96.2 percent were reportedly culture-raised.

Similarly, since 2010, 154,245 of the 158,319 live T. derasa specimens recorded in trade were culture-raised (97.4 percent), while only 3,514 were reportedly wild-caught (2.2 percent). A smaller proportion of shells and shell products recorded in trade since 2010 were of cultured T. derasa, but the total trade volume is significantly lower. In total, 3,775 of the 11,100 T. derasa shells and shell products were of culture-raised specimens (34 percent), while 7,312 were wild caught (65.9 percent).

The primary market for T. squamosa in international trade is of live clams for the ornamental aquarium industry, and it appears that most major exporters have transitioned their supply to cultured specimens. The major exceptions are Cambodia and Vietnam, which together have exported over 50,000 wild-caught T. squamosa since 2010. The government of Vietnam instituted a quota system to regulate the commercial harvest of wild giant clams after concerns were raised in the early 2010s about the level of exploitation. However, the subsequent rise in the export of live T. squamosa from Cambodia to Vietnam suggests that this regulation simply diverted the harvest to neighboring waters. While this harvest pressure likely threatens the persistence of T. squamosa populations in Cambodia in the long term, available reports suggest that the species is still frequent in both countries.

Based on these data, we conclude CITES regulations have been effective at transitioning much of the international supply of H. hippopus, T. derasa, and T. squamosa products away from wild harvest and towards mariculture operations and therefore, minimizing the risks to these three species from overutilization associated with international trade. In other words, it is unlikely that this factor contributes significantly to the extinction risk for these species.

With respect to H. porcellanus, only five shells have been recorded in international trade since 2010—two exported from Malaysia to the Netherlands in 2013, and three exported from the Philippines and seized in the United States in 2011 and 2016. However, it is likely that the low trade levels are as much a reflection of the species' low abundance as they are of the effectiveness of international regulation. Regardless, although commercial trade of this species significantly reduced its abundance in the past, there is little evidence to suggest that international trade is a threat currently operating on this species, and given the available information to suggest otherwise, the regulations appear to be adequate to address that threat.

With respect to T. gigas, unlike H. hippopus and T. derasa, CITES records indicate that the majority of the reported trade since 2010 is of wild-caught specimens, suggesting that mariculture has not played a significant role in diverting harvest away from wild populations. As recently as 2018, Indonesia exported 59,000 wild-harvested T. gigas shells to China despite the reportedly low abundance of T. gigas throughout the region and despite both nations being CITES contracting Parties. While most countries and territories within the range of T. gigas are regulated under the provisions of CITES, the associated protections were clearly not adequate to prevent widespread population loss and local extirpations of the species from many of the same locations (Neo et al., 2017). Thus, we conclude that inadequate regulation of international trade to address the threat of overutilization contributes significantly to the long-term extinction risk of T. gigas.

In the final rule to list 20 reef-building corals under the ESA ( 79 FR 53851 ), we assessed the adequacy of existing regulatory mechanisms to reduce global greenhouse gas (GHG) emissions and thereby prevent widespread impacts to corals and coral reefs. We concluded that existing regulatory mechanisms were insufficient to effectively address this threat. Since the publication of that final rule in 2014, 197 countries and the European Union (EU) adopted the Paris Agreement on climate change, which set a goal of limiting the global temperature increase to below 2 °C and optimally keeping it to 1.5 °C. Since the Agreement was entered into force on November 4, 2016, 191 countries and the EU have ratified or acceded to its provisions, and each Party has made pledges to decrease GHG emissions to achieve its goals (UNFCC, 2018). The United States, which currently accounts for one-fifth of the world's emissions, pledged to cut its emissions by 26-28% percent. However, according to the 2023 Synthesis Report for the IPCC's Sixth Assessment Report, there remains a “substantial emissions gap” between the projected emissions trajectory associated with the climate actions currently proposed by the Parties to the Paris Agreement and the trajectories associated with mitigation pathways that limit warming to 1.5 °C or 2 °C by 2100 (IPCC 2023). The IPCC reported with high confidence that current limited progress towards GHG emissions reduction make it likely that warming exceeds 1.5 °C by 2100 and make it considerably harder to limit warming to less than 2 °C. In addition, the IPCC projected with medium confidence that the current emissions trajectory without strengthening of policies will lead to an estimated global temperature increase of 3.2 °C by 2100, with a range of 2.2 °C to 3.5 °C (IPCC, 2023).

At this rate, unless average emissions reduction goals are significantly strengthened, van Hooidonk et al. (2016) project that over 75 percent of reefs will experience annual recurrence of severe bleaching events before 2070. In a similar analysis, Hoegh-Guldberg et al. (2007) investigated four emissions reduction pathways that are used by the Intergovernmental Panel on Climate Change and found that only the most aggressive scenario would allow the current downward trend in coral reefs to stabilize. The study predicts that even moderate emission reductions will still lead to the loss of more than 50 percent of coral reefs by 2040-2050. Thus, regardless of whether the goals of the Paris Agreement are met, impacts to coral reefs are expected to be widespread and severe. However, as is Start Printed Page 60523 discussed above, while there is clear evidence that coral reefs will undergo substantial changes as a result of ocean warming and acidification, it is unclear whether and to what degree the changes in coral reef composition and ecological function will threaten the survival and productivity of giant clams. Furthermore, as is discussed below in Other Natural or Man-Made Factors, there is substantial evidence to suggest that giant clams may experience significant physiological changes under projected ocean warming scenarios. The precise magnitude of these impacts is unknown, but any significant changes in metabolic demand, reproductive success, and the possibility of bleaching due to warming summer temperatures, will likely increase the risk of extinction. For this reason, we find with respect to all seven species that the inadequacy of regulations to address climate change may, in combination with the aforementioned impacts, contribute significantly to the long-term or near future risk of extinction, but is unlikely a significant threat on its own.

As is discussed above, H. hippopus, H. porcellanus, T. gigas, and T. squamosa also face the threat of habitat destruction in portions of the South China Sea where fishermen, primarily from the Hainan Province of China, have been razing shallow reef areas in a search for giant clam shells (see Present or Threatened Destruction, Modification, or Curtailment of Its Habitat or Range ). In an effort to curtail this destructive activity, the Hainan Province People's Congress passed regulations in January 2017 to prohibit the commercial trade of all giant clam species in the province. However, a recent report from the Wildlife Justice Commission (2021) suggests that the illegal harvest and trade of giant clam shells continues to occur in the region, with new harvesting boats returning to the Hainan Province since 2018. For this reason, we conclude that the inadequacy of existing regulations to address the threat of habitat destruction in the South China Sea due to giant clam shell harvesting operations contributes significantly to the long-term extinction risk of H. hippopus, T. gigas, and T. squamosa. In addition, due to the exceptionally low abundance and highly restricted range of H. porcellanus, which includes the southern portion of the South China Sea, the combination of these threats likely also contributes to the near future extinction risk for H. porcellanus.

There are several other natural or manmade factors that impact giant clams, such as ocean warming and acidification, coastal pollution and sedimentation, and stochastic mortality events. Below, we summarize each of these factors, and where sufficient information is available, evaluate the severity of the associated threat to each of the seven giant clam species.

As is mentioned above, giant clams associate symbiotically with a diverse group of dinoflagellates of the family Symbiodiniaceae which reside within a network of narrow tubules that branch off the primary digestive tract and spread throughout the upper layers of the mantle (Norton et al., 1992). Giant clams provide dissolved inorganic nutrients to the zooxanthellae via direct absorption from the seawater or as an excretory byproduct of respiration, and in return, receive photosynthetic carbon in the form of glucose, glycerol, oligosaccharides and amino acids, comprising the majority of their metabolic carbon requirements (Klumpp et al., 1992; Hawkins & Klumpp, 1995). Exposure to stressful environmental conditions, however, can cause dysfunction in the symbiosis and, in extreme cases, can lead to a bleaching response wherein the zooxanthellae is expelled from the mantle tissue. When they bleach, giant clams lose a critical source of nutrition and experience drastic changes to their physiology, including decreased glucose and pH in the hemolymph, an increased concentration of inorganic carbon ( e.g., CO 2 and HCO 3 - ), and a reduced capacity for ammonium assimilation (Leggat et al., 2003).

Elevated temperatures, in particular, are known to induce bleaching in giant clams. Widespread bleaching of giant clams was observed in the central Great Barrier Reef, Australia in 1997-1998, when elevated water temperatures in conjunction with low salinity caused 8,000 of 9,000 surveyed T. gigas to experience varying levels of bleaching (Leggat, pers. comm., cited in Buck et al., 2002; Leggat et al., 2003). Some individuals suffered a complete loss of symbionts, while others were only affected in the central part or at the margins of the mantle tissue (Grice, 1999). A follow-up experiment designed to replicate the environmental conditions during this event demonstrated that elevated temperatures combined with high solar irradiance induced a consistent bleaching response in T. gigas (Buck et al., 2002). Populations of T. squamosa around Mannai Island, Thailand also suffered extensive bleaching in mid-2010 due to prolonged exposure to temperatures averaging 32.6 °C (Junchompoo et al., 2013). Bleaching was recorded in every T. squamosa specimen observed (n = 12), of which only four individuals recovered while the remaining two-thirds died (Junchompoo et al., 2013).

While the appearance is similar to the bleaching response observed in corals, bleaching of giant clams is unique in two important ways. First, the mechanics differ on account of the zooxanthellae residing extracellularly in giant clams. Rather than being expelled from host cells, as is the case with corals, zooxanthellae are thought to be driven out of the giant clam tubular system via long cilia and expelled through the digestive tract (Norton & Jones, 1992; Norton et al., 1995). The expulsion of algal cells is associated with atrophy of the tertiary zooxanthellae tubes, which is thought to inhibit the return of the zooxanthellae to the host clam (Norton et al., 1995). According to one account, some adult T. gigas have remained partially bleached for more than a year (R. Braley, pers. comm., cited in Norton et al., 1995). Second, there is evidence that giant clams are more resilient to bleaching than corals and can tolerate temperature stress for longer (Grice, 1999; Buck et al., 2002; Leggat et al., 2003). According to Leggat et al. (2003), of 6,300 T. gigas that bleached at Orpheus Island, Australia in 1998, over 95 percent completely recovered after 8 months. Moreover, during the three global-scale coral bleaching events when anomalous warming caused widespread mortality of stony corals (1998, 2010, and 2014-2017), reports of giant clam bleaching have been sparse and variable across species and geography. Neo et al. (2017) reported that in 2016, “ Tridacna maxima [which is not subject to this rulemaking] did not bleach in Mauritius (R. Bhagooli, pers. comm., cited in Neo et al., 2017), but those in Singapore (M. L. Neo, pers. obs.), Guam (A. Miller, pers. comm., cited in Neo et al., 2017), and East Tuamoto (S. Andréfouët, pers. comm., cited in Neo et al., 2017) were bleached severely.” At Lizard Island, Australia, T. gigas reportedly suffered “much lower” mortality than T. derasa and T. squamosa during the 2016 event (A.D. Lewis, pers. comm., cited in Neo et al., 2017). Actual mortality rates were not provided.

Even in the absence of bleaching, warming-related stress can profoundly impact the growth and reproduction of giant clams. Growth rates in giant clams Start Printed Page 60524 tend to follow a standard thermal performance curve whereby growth is positively correlated with temperature up to a thermal optimum (Pearson & Munro, 1991; Hart et al., 1998; Schwartzmann et al., 2011; Van Wynsberge et al., 2017). Beyond this point, further warming can cause shell growth to become erratic and slow down significantly (Schwartzmann et al., 2011; Syazili et al., 2020). Excessive warming has also been shown to lower fitness by reducing photosynthetic yield (Brahmi et al., 2021), altering the photosynthesis-respiration ratio (Braley et al., 1992; Blidberg et al., 2000; Elfwing et al., 2001), reducing the strength and carbonate content of the shells (Syazili et al., 2020), and reducing fertilization success (Armstrong et al., 2020). Early life stages are thought to be particularly sensitive to these impacts, as warming has been shown to speed up the progression through early development, leading to abnormal development, reduced settlement, and lower overall juvenile survival (Watson et al., 2012; Neo et al., 2013; Enricuso et al., 2019).

In assessing the contribution of ocean warming to the extinction risk of the seven species considered in this rulemaking, we relied on the best available scientific and commercial data relating to each species specifically. With respect to H. hippopus, results from a laboratory experiment in the Philippines showed that H. hippopus experienced a significant increase in respiration under elevated temperatures and was more sensitive to warming than the two other species tested ( T. gigas and T. derasa ). After 24 hours of exposure to elevated temperatures (3 °C above ambient), no bleaching was observed (Blidberg et al., 2000). Additionally, Schwartzmann et al. (2011) documented the in situ response of H. hippopus to elevated temperatures in New Caledonia. At the end of the summer, the combination of high temperatures and high irradiance altered the growth and gaping behavior of H. hippopus. At the solar maximum, daily growth increments and gaping behavior became erratic, indicating some degree of physiological distress. The effect was pronounced when temperatures stayed above 27 °C, which is near the current summer maximum in this region.

The few studies available with respect to T. derasa found that juveniles suffered reduced photosynthetic production and respiration when exposed to warming of 3 °C, but neither bleaching nor mortality were reported (Blidberg et al., 2000). Neo et al. (2017) also noted significant mortality of T. derasa at Lizard Island, Australia following anomalous warming in 2016 that led to widespread coral bleaching and following three successive years of cyclones, but did not provide evidence directly tying the mortality to one cause or the other.

The best available scientific and commercial data suggest that T. gigas is sensitive to ocean warming at multiple life stages. For example, Enricuso et al. (2019) found that higher water temperatures (33 °C, compared to 28 °C and 30 °C) promote rapid progression through early development, but result in lower overall survival as a consequence of abnormal development and reduced post-settlement survival. Lucas et al. (1989) found that juvenile growth rate increased during summer months as temperatures rose to 30 °C, but noted that higher temperatures (33-35 °C) can lead to bleaching (Estacion & Braley, 1988). As is discussed above, widespread bleaching of T. gigas was observed in the central Great Barrier Reef, Australia in 1997-1998 (Leggat, pers. comm., cited in Buck et al., 2002; Leggat et al., 2003), later attributed to the combination of elevated temperatures with high solar irradiance (Buck et al., 2002). Notably, according to Leggat et al. (2003), over 95 percent of the T. gigas that were observed to have bleached in 1998 completely recovered after 8 months, indicating that T. gigas can withstand the acute stress of bleaching if anomalous conditions are not prolonged.

With respect to T. squamosa, two similar studies used a cross-factorial experimental design to examine the synergistic effects of elevated temperature and pCO 2 on the survival and growth rate of juveniles. Watson et al. (2012) found that juvenile survival decreased with increasing temperature, with the lowest survival occurring at the moderate and highest seawater temperatures (30.0° and 31.5 °C, versus 28.5 °C) combined with the highest acidification treatment (1019 ppm pCO 2, versus 416 and 622 ppm). Likewise, Syazili et al. (2020) found that elevated warming significantly reduced juvenile growth rate, as well as the strength and carbonate content of the shell, based on temperature treatments of 30, 32, and 34 °C. However, a separate study by Armstrong et al. (2022) yielded conflicting results indicating that the growth rate of juvenile T. squamosa was unaffected by an increase in temperature. These findings were based on temperature treatments of 28.5 ° and 30.5 °C, meant to simulate present-day and end-of-century conditions. Elfwing et al. (2001) found that experimental warming enhanced respiration rate in T. squamosa juveniles and, in effect, reduced the photosynthesis-respiration ratio. Elevated temperatures have also been shown to enhance fertilization success in T. squamosa but significantly reduce trochophore survival (Neo et al., 2013). Only 3.6-13.9% of trochophores survived 24 hours of exposure to 29.5 °C compared to 32.5-46.8% survival at 22.5 °C.

Based on this information, we find it likely that ocean warming will negatively impact the fitness of H. hippopus, T. derasa, T. gigas, and T. squamosa in various ways and that it may, in combination with other threats and demographic risk factors, contribute to the long-term extinction risk for these species. However, given the limited information available and the variability in the reported impacts of ocean warming among studies and species, we cannot conclude with confidence that ocean warming on its own constitutes a significant long-term or near future extinction risk to H. hippopus, T. derasa, T. gigas, and T. squamosa.

With respect to H. porcellanus, T. mbalavuana, and T. squamosina, we could not find any specific information addressing the potential impacts of ocean warming beyond what is discussed above in regard to other giant clam species. Based on the information that is available for other species, we find that ocean warming may, in combination with other threats and demographic risk factors, contribute to the long-term extinction risk for H. porcellanus, T. mbalavuana, and T. squamosina. However, while we can broadly infer that ocean warming may negatively impact the fitness of these species in some respect, we are reluctant to make extrapolations from these studies about the specific nature or magnitude of the impact, as it is possible that susceptibility may vary significantly among species. For example, species like H. porcellanus or T. squamosina, which reside preferentially in shallow habitats where temperature fluctuations can be quite extreme, may have adapted a higher tolerance to such conditions. Given this uncertainty, we do not have sufficient information to conclude that ocean warming is a significant threat to H. porcellanus, T. mbalavuana, and T. squamosina on its own.

There is concern that ocean acidification may also pose a significant risk to giant clams, based primarily on experimental evidence from other shelled mollusks. In two comprehensive literature reviews, both Parker et al. (2013) and Gazeau et al. (2013) Start Printed Page 60525 concluded that the consequences of ocean acidification for calcifying marine organisms (and mollusks in particular) are likely to be severe, as they rely on the uptake of calcium and carbonate ions for shell growth and calcification. Yet, while many studies have demonstrated a negative effect on the growth of marine mollusks, some species have shown no response or even a positive growth response to ocean acidification (Ries et al., 2009; Gazeau et al., 2013; Parker et al., 2013).

With respect to giant clams specifically, experimental data on the effects of ocean acidification are limited and similarly inconclusive. Syazili et al. (2020) found that juvenile T. squamosa exhibited decreased growth and weaker shell structure under elevated pCO 2 ; however, Armstrong et al. (2022) found the opposite, that growth rates of juvenile T. squamosa were enhanced under acidification treatments. Watson et al. (2012) found that juvenile T. squamosa suffered greater mortality when exposed to elevated pCO 2 (see also Syazili et al., 2020), and fertilization success of T. maxima was found to be unaffected (Armstrong et al., 2020). Lastly, in comparing the growth and survival of four giant clam species in conditions approximating future ocean acidification scenarios, Toonen et al. (2011) found the responses to vary among species. T. maxima and T. squamosa had significantly lower growth rates in low pH, T. derasa had a significantly higher growth rate, and T. crocea was not significantly different between low pH and ambient seawater. The authors concluded that “such strong species-specific differences and interactions among treatment variables [. . .] caution against broad generalizations being made on community effects of ocean acidification from single-species laboratory studies” (Toonen et al., 2011).

Furthermore, as is mentioned above, ocean acidification will likely not affect all regions uniformly, as seawater carbonate dynamics are highly dependent on many local-scale factors, such as temperature, proximity to land-based runoff, proximity to sources of oceanic CO 2 , salinity, nutrients, as well as ecosystem-level photosynthesis and respiration rates. This makes it difficult to assess how ocean acidification is impacting giant clams currently or may impact them in the future. For this reason, and given the existing uncertainty regarding the effects of ocean acidification on giant clams, there is not sufficient information to further consider this potential threat in the extinction risk assessments for each species.

Giant clams are also susceptible to land-based sources of pollution, including sedimentation, elevated nutrients, salinity changes, and exposure to heavy metals. Together, these factors represent environmental conditions that giant clams may experience following heavy rains, particularly near coastlines that have been altered by human development. In its Sixth Assessment Report, the IPCC found that the frequency and intensity of heavy rainfall events has likely increased globally since the pre-industrial era and projected that this trend is “virtually certain” to continue with additional global warming (Seneviratne et al., 2021). The IPCC also found it “likely” that annual precipitation will increase over the equatorial Pacific and monsoon regions under a business-as-usual scenario, and projected with “medium confidence” that flooding and associated runoff will increase over parts of South and Southeast Asia by 2100 (Douville et al., 2021). Thus, it is likely that giant clams will face an increasing occurrence of heavy rain events, runoff, and associated changes to water quality throughout much of their range.

Available evidence suggests that the impacts of sedimentation may vary between species. Reduced light levels associated with sedimentation have been shown to significantly decrease the growth rate of T. squamosa (Beckvar, 1981; Foyle et al., 1997; Guest et al., 2008), likely by limiting the photosynthetic potential of the symbiotic algae (Jantzen et al., 2008; Przeslawski et al., 2008). However, in situ observations from Pioneer Bay, Australia revealed that T. gigas actually grows faster in more turbid conditions compared to two offshore sites (Lucas et al., 1989). These contrasting results may be indicative of differences in nutritional strategy between species (Klumpp et al., 1992), suggesting that certain species are able to compensate for the reduction in photosynthetic yield by increasing the relative contribution of heterotrophy.

Giant clams are also sensitive to variations in salinity, nutrients, and heavy metal concentrations. Blidberg (2004) showed that a reduction in salinity significantly decreased the survival rates of T. gigas larvae. Only 1.1 percent and 2.2 percent of larvae survived when exposed to salinities of 20 parts per thousand (ppt) and 25 ppt, respectively, compared to a survival rate of 4.2 percent in the 32 ppt control. Maboloc et al. (2014) also found that lower salinity (18 ppt and 25 ppt vs. 35 ppt) reduced the feeding capacity of juvenile T. gigas due to alteration of the digestive membrane. The same effects, however, were not observed for T. squamosa, as a milder salinity reduction (27 ppt vs. 30 ppt) led to an increase in survival of T. squamosa trochophores and no significant effect on the survival T. squamosa embryos (Neo et al., 2013).

Extreme reductions in salinity have been shown to alter the behavior of early life stages. T. squamosa trochophores and veligers stopped swimming and sank to the bottom of an experimental tank when exposed to salinities of 9 ppt and 12 ppt; although, once conditions returned to normal, the larvae resumed normal swimming functions within an hour (Eckman et al., 2014). These results provide some evidence that giant clams may be able to withstand temporary salinity fluctuations. However, it is unlikely that they would experience such extreme conditions in situ. For example, in October 2010, immediately after a week-long heavy rainfall in the Bolinao region of the Philippines brought by Typhoon Megi, salinity at a coastal giant clam nursery was measured to be 25 ppt (Maboloc et al., 2014).

With respect to dissolved nutrients, there is consistent evidence that nitrogen enrichment increases the density of zooxanthellae in the clam tissue (Braley et al., 1992; Belda, Lucas, et al., 1993; Belda-Baillie et al., 1999) and, in most cases, enhances the growth rate of giant clams. The addition of inorganic nitrogen led to a near doubling of the growth rate of young juvenile T. derasa (<1 cm) and a 20 percent increase in shell length in older juveniles over controls (Heslinga et al., 1990). Similarly, H. hippopus juveniles exhibited a 110 percent increase in growth per month when exposed to elevated nitrogen (Solis et al., 1988). Nitrogen enrichment has also been shown to enhance the shell and tissue growth of T. gigas (Belda, Cuff, et al., 1993; Belda, Lucas, et al., 1993).

Elevated heavy metals contribute to the environmental stress factors in contaminated waters near human development. For instance, in the Cook Islands, giant clams collected from the populated Pukapuka Atoll had significantly higher concentrations of iron, manganese, zinc, and lead than clams from the unpopulated Suvorov Atoll (Khristoforova & Bogdanova, 1981). Three related studies demonstrated that exposing T. gigas, H. hippopus, and T. squamosa to sub-lethal levels of copper ( T. gigas and H. hippopus: 5 μg l -1 ; T. squamosa: 50 μg l -1 ) reduces photosynthetic activity and, in effect, significantly lowers the Start Printed Page 60526 production-respiration ratio (Elfwing et al., 2001; Elfwing et al., 2002; Elfwing et al., 2003). This aligns with previous work showing that copper acts as an inhibitor in photosynthesis (Cid et al., 1995 cited in Elfwing et al., 2001).

In most circumstances, however, it is unlikely that giant clams would experience only one of the aforementioned issues associated with land-based sources of pollution independent of the others. River outflows and runoff from heavy rain events will necessarily alter the salinity, and in most cases will also carry suspended sediments, dissolved nutrients, heavy metals, or a combination of the three to the nearshore environment. Blidberg (2004) suggests that synergistic effects of elevated heavy metal concentrations in combination with low salinity may be more detrimental to giant clams than either factor alone. At a relatively low dose of copper (2.5 μg l -1 ), T. gigas larvae survival was not significantly altered, but combined with a moderate reduction in salinity (25 ppt vs. 32 ppt), larval survival rate was decreased by nearly 75 percent. From these results, Blidberg (2004) hypothesized that chronically high copper concentrations and low salinity may explain the absence of giant clams near human settlements and river mouths.

Overall, the best available scientific and commercial data provide some indication that sedimentation, salinity changes, nutrient enrichment, and elevated heavy metal concentrations may impact the physiology and fitness of giant clams in certain respects. However, the effects are often not consistent between species and, in some cases, the experimental treatments do not reflect conditions that giant clams may realistically experience in the natural environment. Given this uncertainty and the likely localized nature of these impacts near areas of high runoff, we conclude that the threat of land-based sources of pollution is unlikely to contribute significantly to the extinction risk of any of the seven giant clam species considered here, either itself or in combination with other threats and demographic risks.

There have been several reports of mass mortalities of giant clams without a definitive cause. For example, reports from Lizard Island, Great Barrier Reef indicated that 25 percent of T. gigas and T. derasa died in a 6-week period in mid-1985, and over the following 18 months, total mortality rates were 55-58 percent (Alder & Braley, 1988). The authors ruled out toxins, predators, environmental conditions, and old age as possible causes, and hypothesized that two pathogens that were observed ( Perkinsus and an unknown protozoan) may be to blame. However, the findings were inconclusive, and the hypothesis was never confirmed. Extensive mortality was also reported in the early 1990s in the Solomon Islands, where T. gigas and H. hippopus were the main species affected (Gervis, 1992).

Mass mortality events represent a complex, unpredictable issue that can cause acute damage to giant clam populations with little forewarning. In each case, only certain giant clam species and certain areas were impacted by the mortality events, while other species, other bivalve mollusks, and other regions remained apparently unaffected (Lucas, 1994). For this reason, the extinction risk associated with these stochastic events is likely most significant for species with a restricted range or with few remaining populations, such as H. porcellanus, T. mbalavuana, and T. squamosina. However, the inherent unpredictability of these events affords little confidence in any assessment regarding the time scale of this threat. Overall, we conclude that the threat of stochastic mortality events may, in combination with low abundance, contribute significantly to the long-term extinction risk of H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina. Considering the expansive range of T. squamosa, including several regions of relatively high abundance, we find it unlikely that this threat contributes significantly to the long-term or near future extinction risk of T. squamosa by itself or in combination with other threats or demographic risks.

Because there are no global abundance estimates for the seven species considered here, we rely on the qualitative estimates of population status summarized in table 1, which are based on the best available survey data from all countries or territories where each species has been recorded.

Available data indicate that H. hippopus has suffered significant population declines to the extent that the species is rare, extirpated, has been reintroduced after extirpation, or is data deficient (likely exceptionally rare or extinct) in 21 of 26 locations throughout its range. For broadcast spawning organisms like H. hippopus, which rely on the external fertilization of gametes, the implications of such sparse distribution on reproduction can be significant. As is discussed above, Braley (1984) observed that 70 percent of nearest spawning giant clams ( T. gigas ) were found within 9 m of one another, while only 13 percent were between 20-30 m of one another. These findings suggest that individuals in rare populations are less likely to spawn in synchrony and as a result are likely to experience infrequent, sporadic reproductive success. This negative relationship between population density and productivity, known as the Allee effect, can cause further reductions in population abundance and put rare populations of H. hippopus at greater risk of extinction.

In 5 of the 26 locations where H. hippopus has been recorded, the species is considered frequent, indicating population density estimates that are between 10 and 100 ind ha -1 . This includes the Great Barrier Reef, outlying islands of NW Australia, the Marshall Islands, Vanuatu, and Palau. Of these locations, only Australia has in place a total ban on the harvest of H. hippopus. The other countries have instituted a ban on the commercial export of giant clams, but subsistence harvest is still ongoing. In Vanuatu, H. hippopus is considered a prized subsistence food and is harvested regularly for household consumption and special occasions. Zann and Ayling (1988) reported that H. hippopus was overharvested on inhabited islands in Vanuatu and secure on only two reefs; it is unknown if these remote populations have been subjected to harvest in the three decades since the observations were published. Similarly, in the Marshall Islands, available reports suggest that giant clams are heavily exploited near population centers, and H. hippopus was reported to be abundant only on three remote atolls. Thus, in Vanuatu and Marshall Islands, overutilization remains a significant threat to H. hippopus populations. In Palau, the most recent survey from Helen Reef, a remote uninhabited atoll in the Western Caroline Islands was conducted in 1976, when the standing stock of H. hippopus was estimated to be over 70,500 (or 40.1 ind ha -1 ) (Hirschberger, 1980). However, due to its remoteness from the inhabited islands of Palau and the difficulty of surveilling the area, Helen Reef was historically targeted by giant clam poachers in the 1970s. While we are not aware of any more recent poaching in the area, it is possible that such activities have gone undetected. Thus, the current status of H. hippopus at Helen Reef is unknown. A recent survey Start Printed Page 60527 from the main island group in Palau (Rehm et al., 2022) recorded an average population density of 51.5 ind ha -1 , but the authors note that harvest of H. hippopus in this area is still “very common.” In Australia, there are very limited survey data on the abundance of H. hippopus on the Great Barrier Reef; however, anecdotal reports commonly suggest that populations of giant clams in general are healthy relative to other areas of the Indo-Pacific. Additionally, there is evidence that existing regulations have been effective at preventing illegal harvest and minimizing the risk of overutilization of giant clams in Australian waters. Several reports have suggested significant population declines from 1999 to 2009 at Ashmore and Cartier Reefs, two islands in NW Australia that have historically had abundant H. hippopus populations. The cause of the decline and current status of these populations is unknown.

Thus, while we consider H. hippopus to be frequent in 5 of the 26 locations where it occurs naturally ( i.e., where it has not been artificially introduced), in 2 of these locations (Vanuatu and the Marshall Islands), available reports indicate only a few remote sites have relatively abundant populations. The abundance of H. hippopus outside of these remote sites, particularly near human population centers, is considerably lower and is subject to the ongoing threat of unregulated domestic harvest. Populations of H. hippopus in Palau, NW Australia, and on the Great Barrier Reef appear to be healthy, despite ongoing harvest in Palau. Considering these locations alongside the 21 other locations in the species' range where overutilization has driven H. hippopus to low abundance, we find that this factor likely contributes significantly to the species' long-term risk of extinction, but does not in itself constitute a danger of extinction in the near future.

Although quantitative abundance estimates are limited, the best available scientific and commercial data suggest that H. porcellanus has suffered significant population declines since the 1970s, leading to low abundance and very few remaining populations throughout its historical range. Only 55 individuals have been observed and recorded in published surveys since 1989, and recent reports suggest that the species has disappeared from most areas of the Philippines and Indonesia, which were once the core of this species' distribution. Only two sites, Tubbataha Reefs Natural Park in the Philippines and Raja Ampat in Indonesia, are thought to have substantial populations of H. porcellanus. However, while there is some evidence that H. porcellanus may have recovered to an extent in Tubbataha Reefs after two decades of protection from harvest (Dolorosa & Jontila, 2012), the most recent survey data available are from 2008 and cover only 0.42 ha of the 96,828 ha in the park. Given the history of intense exploitation of this species in the Philippines and recent evidence of ongoing giant clam poaching in the region, we cannot conclude that this population has recovered to a sustainable level.

With so few remaining populations reduced to such a small fraction of the species' historical range, H. porcellanus is highly susceptible to the ongoing and future threats described above, including coastal development, ongoing harvest, the inadequacy of existing regulations, potential physiological impacts of ocean warming, and stochastic mortality events. Continued population reductions due to these factors threatens the persistence of remaining populations, and in effect, significantly elevates the extinction risk of H. porcellanus. For this reason, we find that the species' low abundance puts it in danger of extinction in the near future.

The best available scientific and commercial data indicate that T. derasa has suffered significant population declines to the extent that the species is considered rare, extirpated, or has been reintroduced after extirpation in 15 of the 18 locations throughout its range. As is discussed with respect to H. hippopus, such sparse distribution can significantly reduce reproductive success by disrupting spawning synchrony and minimizing fertilization rates. In every location where T. derasa is considered rare, subsistence harvest is still permitted or existing harvest bans, such as in Indonesia and the Philippines, have largely been ineffective at eliminating illegal harvest. In these locations, the low abundance of T. derasa exacerbates the extinction risk associated with continued harvest pressure.

Of the 18 locations where T. derasa occurs naturally ( i.e., where it has not been artificially introduced), there are only 3 locations where reports indicate that the species is likely frequent—these are the Great Barrier Reef, outlying islands of NW Australia, and Palau. Both locations in Australia are subject to a total ban on the harvest of T. derasa. As is discussed with respect to H. hippopus, while there are very limited recent survey data on the abundance of T. derasa on the Great Barrier Reef, anecdotal reports consistently suggest that populations of giant clams (including T. derasa ) in Australia are healthy relative to other areas of the Indo-Pacific.

In NW Australia, population estimates of T. derasa are variable, ranging from 1.3 ind ha -1 at Ashmore Reef to 77.7 ind ha -1 at N Scott Reef (Skewes et al., 1999). In Palau, there is a ban on the commercial export of giant clams, but harvesting for subsistence and domestic sale is still reportedly very common, and T. derasa remains a highly desired food item, leaving these populations at risk of overutilization.

Overall, the abundance of T. derasa is greatly reduced from historical levels throughout its range, leaving only three locations where the species is not considered rare or extirpated. The species is at continued risk of overutilization in all locations where it is found, except for Australia, due to ongoing subsistence harvest and inadequate regulation. Based on this information, we find that the abundance of remaining populations contributes significantly to the species' long-term risk of extinction, but does not in itself constitute a danger of extinction in the near future.

The best available scientific and commercial data indicate that T. gigas has suffered significant population declines to the extent that the species is considered rare, extirpated, has been reintroduced after extirpation, or is data deficient (likely exceptionally rare or extinct) in 32 of the 33 locations where it occurs naturally ( i.e., where it has not been artificially introduced). As is discussed above, such sparse distribution can significantly reduce reproductive success by disrupting spawning synchrony and minimizing fertilization rates. In every location where T. gigas is considered rare, except for NW Australia, subsistence harvest is still permitted or existing harvest bans, such as in Indonesia and the Philippines, have largely been ineffective at eliminating illegal harvest. In these locations, the low abundance of T. gigas exacerbates the extinction risk associated with continued harvest pressure.

Of the 33 locations where T. gigas occurs naturally, the only location where the species is considered “frequent” is the Great Barrier Reef in Australia. Populations on the Great Barrier Reef are protected by a total ban on the harvest of giant clams. As is Start Printed Page 60528 mentioned above, while there are very limited recent survey data on the abundance of T. gigas on the Great Barrier Reef, the data that are available, as well as anecdotal reports, consistently suggest that populations of giant clams (including T. gigas ) in Australia are healthy relative to other areas of the Indo-Pacific.

Overall, the abundance of T. gigas is greatly reduced from historical levels throughout its range, leaving only one location where the species is not considered rare or locally extinct. Importantly, however, while we refer to the Great Barrier Reef as only one location, it covers an expansive geographic area that comprises a significant proportion of the suitable habitat within the species' range. Nonetheless, in all locations of its range outside of the Great Barrier Reef, T. gigas is at continued risk of overutilization due to ongoing subsistence harvest and inadequate regulation. Based on this information, we find that the abundance of remaining populations contributes significantly to the species' long-term risk of extinction, but does not in itself constitute a danger of extinction in the near future.

Although quantitative abundance estimates are lacking, the best available scientific and commercial data suggest that T. mbalavuana occurs at exceptionally low abundance and is sparsely distributed “with single individuals being found at most locations” (Ledua et al., 1993). As part of a concentrated effort to collect broodstock specimens of T. mbalavuana for attempted spawning and larval culture, Ledua et al. (1993) estimated the number of clams found per man-hour of search on SCUBA. The data showed that an average of about one clam per man-hour was collected in Tonga, while about 0.26 clams per man-hour were collected in Fiji. There were only three sites where more than six clams were found, and all were around Ha'apai, Tonga, which the authors suggested may be the center of distribution for T. mbalavuana with the “largest repository of the species.” In total, 76 T. mbalavuana were observed and collected in Fiji and Tonga between 1986 and 1992 in more than 277 hours of searching.

Given its exceptionally low abundance, sparse distribution, and highly restricted range, T. mbalavuana is highly susceptible to the ongoing and future threats described previously, including continued domestic harvest, the inadequacy of existing regulations, and the possibility of future climate change-related impacts to coral reef habitats. Potential population reductions due to these factors threatens the persistence of remaining populations, and in effect, significantly elevates the extinction risk of T. mbalavuana. For this reason, we find that the species' low abundance puts it in danger of extinction in the near future.

Based on the best available scientific and commercial data, historical demand for T. squamosa meat and shells, ongoing demand for live specimens for the ornamental aquarium industry, and longstanding subsistence harvest has depleted T. squamosa populations in many areas of its range. Yet, despite the widespread exploitation, the global abundance of T. squamosa is relatively high compared to other giant clam species, with several locations where populations are likely frequent or abundant. This includes Australia (Great Barrier Reef), Indonesia, and the Philippines, which are the three locations with the most estimated coral reef area (and likely suitable habitat for T. squamosa ) of all locations within the species' range. Of the 63 locations where T. squamosa occurs naturally, it is likely abundant in 5 locations, frequent in 14, rare in 32, and extirpated in 2 locations, with the other locations characterized as data deficient. Available reports suggest that abundance is particularly high in the Red Sea and in the South Asia regions, despite these areas being subject to widespread subsistence harvest and, in the case of South Asia, being at the center of the commercial shell and shell craft industry of the 1980s. Given the significant harvest pressure, this pattern suggests that T. squamosa populations in these regions are somewhat resilient to population declines, perhaps due to a large historical population size or due to high demographic connectivity facilitating larval exchange among connected populations within each region. Such a scenario would align with the genetic connectivity observed throughout the Indo-Malay Archipelago, discussed further in regard to the Spatial Structure/Connectivity risk below.

Overall, because the species occurs at relatively high abundance in a number of locations throughout its range, and especially in locations where the total area of coral reefs (and likely T. squamosa habitat) is relatively high, we find it unlikely that its abundance contributes significantly to the long-term or near-future risk of extinction by itself. However, its reportedly low abundance at many locations in the Pacific islands and southeast Africa, where population growth may be hindered by the relative isolation of these populations from the closest regions of abundance, suggests that this factor may, in combination with other VP descriptors or threats, contribute to the species' extinction risk.

There have been 30 documented observations of T. squamosina since its re-discovery in 2008, including 17 specimens from the Gulf of Aqaba and northern Red Sea, 7 individuals from the Farasan Islands in southern Saudi Arabia, and 6 individuals from an unnamed site in the southern Red Sea. The species was absent from all but 1 of the 58 survey sites visited by Rossbach et al. (2021) along the eastern Red Sea coast, including all sites in central and northern Saudi Arabia.

Given its exceptionally low abundance, sparse distribution, and highly restricted range, T. squamosina is highly susceptible to the ongoing and future threats described above, including habitat destruction and modification, continued artisanal harvest, and the inadequacy of existing regulations. Potential population reductions due to these factors threatens the persistence of remaining populations, and in effect, significantly elevates the extinction risk of T. squamosina. For this reason, we find that the species' low abundance puts it in danger of extinction in the near future.

Despite exceptionally high fecundity, there is substantial evidence that low recruitment success and high mortality rates during early development lead to low productivity in most species of giant clams (Jameson, 1976; Beckvar, 1981; Fitt et al., 1984; Crawford et al., 1986; Munro, 1993a). Thus, as is discussed in relation to the Abundance risk factor above, we find it likely that all seven species are experiencing an Allee effect in locations where each species is considered rare, such that low productivity is directly correlated with low population abundance. As broadcast spawning organisms, giant clams rely on sufficient population density in order to respond to spawning cues of nearby individuals and to facilitate successful external fertilization of their gametes. The best available evidence suggests that spawning synchrony in T. gigas drops significantly at population densities lower than 10 ind ha -1 (Braley, 1984), and while gametes have been found to Start Printed Page 60529 remain viable for up to 8 hours in T. squamosa, viability decreases significantly with time (Neo et al., 2015). It is possible that the exact distance and duration of viability may vary among species, but because reproductive success is so closely tied to population density, we find it likely that the overall effect of low abundance in reducing productivity is applicable to all seven species considered here.

For these reasons, we conclude that the low natural productivity of giant clams as well as decreased productivity due to low abundance contribute significantly to the long-term risk of extinction of all seven species. Additionally, with respect to H. porcellanus, T. mbalavuana, and T. squamosina, which are exceptionally rare throughout their ranges, we find that this factor is likely to contribute to the short-term risk of extinction in the near future.

As is discussed above, the best available scientific and commercial data indicate that T. gigas populations in the central Pacific region ( i.e., Kiribati, Marshall Islands, Tuvalu, and Cook Islands) are genetically differentiated from populations in the western Pacific ( i.e., Great Barrier Reef, Philippines, Solomon Islands, and Fiji). The same pattern is largely consistent for T. derasa, although there is some variability in the inferred level of connectivity between the Great Barrier Reef and the Philippines.

There is strong evidence indicating four (possibly five) genetically isolated clades ( i.e., groups of individuals that share similar ancestry) of T. squamosa in the Indo-Malay Archipelago, the northeastern Indo-Pacific ( i.e., northern Philippines and Cenderwasih Bay), Red Sea, and western Indian Ocean. There may be a fifth clade in the eastern Indian Ocean, but more data are needed to corroborate this finding. We could not find any data pertaining to the genetic signature of T. squamosa populations in the Pacific islands or on the Great Barrier Reef and therefore cannot infer the degree of connectivity to these areas.

We could not find any data regarding the genetic structure or connectivity among populations of H. hippopus, H. porcellanus, T. mbalavuana, or T. squamosina.

Based on the relatively short duration of the pelagic larval phase of giant clams (~6-14 days), we would expect that long-range dispersal between distant locations is likely highly infrequent for each of these species, and perhaps particularly so among the regions highlighted above ( i.e., the central Pacific, western Pacific, Indo-Malay Archipelago, eastern Indian Ocean, western Indian Ocean, and the Red Sea).

With respect to T. derasa and T. gigas, based on the spatial structure suggested by the available genetic data, it is unlikely that populations on the Great Barrier Reef provide significant larval subsidy to other locations of the species' ranges. Because the Great Barrier Reef represents one of the few remaining locations supporting relatively healthy populations of these species, any barrier to dispersal from this region reduces its capacity as a larval source and limits the species' rebound potential range-wide. Likewise, according to the limited genetic data, populations in Palau may function as a significant larval source only to nearby locations in the western Pacific, such as the Philippines. For this reason, based on the best available population genetic data and considering the abundance distribution of T. derasa and T. gigas, we conclude that limited connectivity, particularly between the Great Barrier Reef and other locations within the species' ranges, likely contributes significantly to the long-term extinction risk for these species, but does not in itself constitute a danger of extinction in the near future.

With respect to T. squamosa, the available data regarding spatial structure suggest that the relatively abundant populations in the Indo-Malay and Red Sea region likely do not provide significant larval subsidy to less abundant populations in the western Pacific and western Indian Oceans. Therefore, it is likely that the status of the populations in these regions is primarily dependent on local demographics. Reported declines of many T. squamosa populations in these regions due to longstanding harvest for subsistence and commercial purposes suggest that the lack of connectivity may be limiting the species' potential for population growth in these regions and exacerbating the species' extinction risk range-wide. However, because the abundance of T. squamosa remains relatively high in major portions of its range ( e.g., the Indo-Malay Archipelago, Red Sea, and Great Barrier Reef), we find it unlikely that the observed spatial structure contributes significantly to long-term or near-term risk of extinction by itself, but it may in combination with other VP descriptors or threats.

Without further information on the spatial structure and connectivity of H. hippopus, H. porcellanus, T. mbalavuana, and T. squamosina, we cannot assess the contribution of this factor to the extinction risk for these four species.

Overall, we could find very little information regarding the genetic diversity of the seven species considered here. With respect to T. derasa and T. gigas, the best available scientific and commercial data indicate regional differences in the degree of genetic variation. Macaranas et al. (1992) found that mean heterozygosity of T. derasa based on allozyme variation was highest on the Great Barrier Reef ( h = 0.35-0.46), intermediate in the Philippines ( h = 0.29), and lowest in Fiji ( h = 0.14). Similarly, Gomez et al. (1994) found low mean heterozygosity in both Fiji and Tonga ( h = 0.17-0.19). While it is difficult to know the exact cause, the relatively low genetic diversity in the small island populations may be reflective of smaller populations and low rates of immigration due to their geographic remoteness. Macaranas et al. (1992) also note that samples from Fiji were collected from the Makogai Island hatchery, where genetic diversity may be artificially reduced. Similarly, comparing across several locations in the Indo-Pacific, Benzie and Williams (1995) found that genetic diversity of T. gigas, based on the percentage of polymorphic loci and mean number of alleles per locus (N a ), was lowest in the Philippines (57.1 percent; N a = 2), Marshall Islands (71.4 percent; N a = 2.3), and Kiribati (57.1 percent; N a = 2.3), and highest in the Solomon Islands (85.7 percent; N a = 2.4-2.7) and the Great Barrier Reef (100 percent; N a = 2.9). Overall, while these data highlight geographic differences in the magnitude of genetic diversity in both T. derasa and T. gigas, we find no evidence to suggest that this factor contributes significantly to the extinction risk for these species by itself or in combination with other factors.

Likewise, with respect to T. squamosa, the best available scientific and commercial data suggest that genetic diversity in the Indo-Malay region is low relative to T. maxima and T. crocea, two other giant clam species with similarly broad distributions but which are not subject to this rulemaking. However, we find no evidence to suggest that this factor contributes significantly to the extinction risk for T. squamosa by itself or in combination with other factors.

With respect to T. squamosina, K.K. Lim et al. (2021) measured very low diversity of the mitochondrial DNA ( i.e., 16S haplotype diversity) and very few polymorphic loci, indicating that genetic diversity is very low. The authors hypothesized that the low diversity may be the result of a Start Printed Page 60530 population bottleneck, but cautioned that it may also reflect low natural diversity or a small sample size. In general, low genetic diversity may limit adaptive potential, and effectively lower the resilience of populations to environmental change. Thus, we have some concern that this factor may, in combination with the low abundance of the species, contribute to the long-term or near future extinction risk for T. squamosina.

We could not find any information regarding the genetic diversity of H. hippopus, H. porcellanus, or T. mbalavuana. Given these species' declining population trends, and the exceptionally low abundance of H. porcellanus and T. mbalavuana overall, it is possible that genetic diversity may be significantly reduced as a result of a population bottleneck. However, without any genetic testing on these species to determine diversity or effective population size, we are unable to conclude whether this is a relevant threat contributing to the species' risk of extinction.

Guided by the results of the demographic risk analysis and threats assessment above, we considered the best available scientific and commercial data to analyze the overall risk of extinction for each of the seven giant clam species throughout their respective ranges. We outline the conclusions and supporting rationale for each species below.

Considering the best available scientific and commercial data regarding H. hippopus from all locations of the species' range, we determined that the most critical demographic risks to the species include the low abundance and negative trajectory of populations throughout the majority of its range, compounded by low natural productivity. Additionally, our threats assessment revealed that the past and present overutilization and associated inadequacy of existing regulatory mechanisms to address overutilization ( e.g., subsistence fisheries, domestic markets, and international trade in giant clam shells and shell-craft) contribute most significantly to the extinction risk of this species. Continued harvest of H. hippopus primarily for subsistence purposes, combined with the species' low productivity will likely drive further population declines and prevent any substantial population increases.

The best available scientific and commercial data indicate that very few abundant populations of H. hippopus remain, and that in almost every location outside of Australia, domestic harvest of H. hippopus is ongoing. In Palau, Vanuatu, and the Marshall Islands, which are three of the five locations where we consider H. hippopus to be frequent, anecdotal reports indicate that harvest for subsistence and for sale in domestic markets is still very common. In Vanuatu and the Marshall Islands, there is evidence that this has significantly reduced H. hippopus abundance in the areas around human population centers, leaving very few remote areas with relatively healthy populations. There is very little quantitative information regarding the abundance of H. hippopus on the Great Barrier Reef, but anecdotal reports commonly suggest that populations of giant clams in general are healthy. There is also quantitative evidence that H. hippopus occurs in significant numbers in the outlying islands of NW Australia (Richards et al., 2009; Skewes et al., 1999), likely benefitting from the strong regulatory protections within Australian waters. Additionally, in Palau, although subsistence harvest of giant clams is permitted and is reported to occur commonly, a recent survey indicated relatively large populations of H. hippopus (Rehm et al., 2022). As is discussed below in the Protective Efforts section, it is possible that the significant output of cultured giant clams from the Palau Mariculture Demonstration Center (PMDC) mariculture facility and reported efforts to use a portion of H. hippopus seedstock to enhance depleted populations in certain conservation areas may be offsetting the harvest pressure in Palau. However, without further information, we are not able to assess with confidence whether populations in Palau are stable, or whether they may be increasing or decreasing significantly due to one factor outweighing the other.

In contrast to these 5 locations where H. hippopus populations are relatively healthy ( i.e., the Great Barrier Reef, NW Australia, Palau, and remote areas of Vanuatu and the Marshall Islands), the best available scientific and commercial data indicate that, at the 21 other locations across the range with documented occurrences of this species, extensive exploitation for past commercial harvest for the shell and shell-craft industry and ongoing subsistence harvest have driven H. hippopus to low abundance, and in some cases, extirpation. The continued threat of overutilization and the demographic risks outlined above likely put the species at a high level of extinction risk in these locations in the foreseeable future. However, because H. hippopus populations in Australia and Palau, and certain areas of Vanuatu and the Marshall Islands are relatively abundant, and the enforcement of strict harvest bans have effectively minimized the threat of overutilization in Australian waters, we cannot conclude that the species is at moderate or high risk of extinction throughout its entire range.

Under the ESA and our implementing regulations, a species may warrant listing if it is in danger of extinction or likely to become so within the foreseeable future throughout all or a significant portion of its range. Thus, a species may be endangered or threatened throughout all of its range, or a species may be endangered or threatened throughout only a significant portion of its range. Having determined that H. hippopus is not at moderate or high risk of extinction throughout all of its range, in order to inform the listing determination, we conducted an additional analysis to assess whether the species is at higher risk of extinction in a “significant portion of its range”—that is, we assessed whether there is any portion of the species' range for which it is true that both (1) the portion is significant and (2) the species, in that portion, is in danger of extinction or likely to become so in the foreseeable future. A joint USFWS-NMFS policy, finalized in 2014, provided the agencies' interpretation of this phrase (“SPR Policy,” 79 FR 37578 , July 1, 2014) and explains that, depending on the case, it might be more efficient for us to address the “significance” question or the “status” question first. (Certain aspects of the SPR Policy have been invalidated by courts; we describe below where those decisions affect the SPR analysis.) Regardless of which question we choose to address first, if we reach a negative answer with respect to the first question, we do not need to evaluate the other question for that portion of the species' range.

Because there are infinite ways in which a range could be theoretically divided for purposes of this analysis, we first evaluated whether there are portions of the range of H. hippopus that have a reasonable likelihood of being both in danger of extinction or likely to become so in the foreseeable future, and biologically significant to the species. In other words, unless portions met both of these conditions, they were not further considered in this analysis. As discussed in the SPR Policy, as a Start Printed Page 60531 practical matter, a key part of this analysis is considering whether threats are geographically concentrated in some way. In this case, because we determined that the most significant threats to the species are overutilization and inadequacy of regulatory mechanisms to address overutilization, we focused our analysis on the portion of the range where these threats are most severe.

As has been discussed previously, several sources indicate that the early adoption of strict harvest prohibitions in Australia has been largely effective at preventing illegal harvest and minimizing the risk of overutilization of giant clams in Australian waters. This differs considerably from reports from every other location throughout the species' range, which consistently indicate that the threat of overutilization in combination with inadequate regulatory mechanisms to address this overutilization poses a significant extinction risk to H. hippopus. Thus, for the purpose of this SPR analysis, we distinguish locations in Australia ( i.e., the Great Barrier Reef and NW Australia) from all other locations where H. hippopus occurs and consider them as two separate portions of the species' range.

The portion of the range outside of Australia includes 24 countries and territories where the primary threat to the species is overutilization. In 21 of these locations (Andaman and Nicobar Islands (India), Japan, Taiwan, South China Sea, Indonesia, Malaysia, Myanmar, Philippines, Singapore, Fiji, New Caledonia, Papua New Guinea, Solomon Islands, FSM, Guam, Republic of Kiribati, CNMI, American Samoa, Samoa, Tonga, and Tuvalu), the best available scientific and commercial data, consisting of surveys as well as qualitative descriptions of abundance, suggest that past commercial harvest for the shell and shell-craft trade (primarily in the South Asia region), as well as past and ongoing subsistence harvest throughout this entire portion of the species' range has driven H. hippopus to low abundance, and in several cases, extirpation.

There are three main exceptions to this trend—Vanuatu, the Marshall Islands, and Palau. In Vanuatu, a single survey in 1988 spanning 13 islands reported that H. hippopus was “overfished on inhabited islands but secure on two remote reefs” (Zann & Ayling, 1988). We are not aware of any follow-up surveys, and the current status of these remote reef populations is unknown. Available reports from the Marshall Islands suggest that H. hippopus is relatively abundant at three less-populated atolls, reporting “huge undisturbed” populations in Bok-ak and Pikaar Atolls in particular, but do not provide any quantitative data (Maragos, 1994; Beger et al., 2008). Lastly, in Palau, a recent survey of the main island group and past surveys of a remote uninhabited atoll indicate that abundance of H. hippopus is relatively high (Rehm et al., 2022). It is also important to note that, while we consider the overall abundance of H. hippopus in the Philippines and Indonesia to be “rare,” there are a number of studies reporting small areas within each country where H. hippopus still occurs at relatively high frequency. This includes, for example, Carbin Reef and Tubbataha Reefs Natural Park in the Philippines, and Raja Ampat and Kei Islands in Indonesia, where recently estimated population densities are over 20 ind ha -1 (Dolorosa, 2010; Lebata-Ramos et al., 2010; Wakum et al., 2017; Triandiza et al., 2019).

However, in each of Vanuatu, the Marshall Islands, and Palau, existing regulations do not prohibit the domestic harvest of giant clams for subsistence purposes or for sale in local markets. According to Neo et al. (2017), giant clams, and especially H. hippopus, are still a prized subsistence food on most islands in Vanuatu. The same is true in Palau, where the harvest of H. hippopus is still very common near populated areas (L. Rehm, pers. comm., May 26, 2022), and in the Marshall Islands, where available information indicates that H. hippopus has historically been sold in local markets (S. Wells, 1997). Thus, while the current status of H. hippopus in these locations may be healthier than many other locations throughout the species' range, the threat of domestic harvest and inadequate regulatory mechanisms to address overutilization continues to expose the species to an elevated extinction risk in the foreseeable future. It seems that the principal factor protecting H. hippopus in Vanuatu and the Marshall Islands is simply the remoteness of the populations rather than any formal regulatory mechanism.

Theoretically, mariculture operations in Palau could potentially prevent the species from going extinct in the foreseeable future. As noted above, however, we are not able to assess whether populations in Palau are stable or are increasing or decreasing significantly due to the output of cultured giant clams compared to ongoing harvest. We did not base our assessment on the past success of mariculture operations, because of its reliance on a number of unpredictable factors ( e.g., funding, management priorities, natural disasters, etc. ). Thus, it is difficult to extrapolate the effect of mariculture beyond the next few years.

Basing our assessment on the demographic risks of low abundance and low productivity in 21 of 24 locations where the species naturally occurs, and the ongoing threats of overutilization and inadequate regulatory mechanisms to address it in all 24 locations, we conclude that in the portion of the species' range defined as all locations outside of Australia, H. hippopus is at moderate risk of extinction. Because the species still occurs in 24 locations within this portion of its range, which encompass a broad geographic area and variety of environmental conditions, and relatively healthy populations can still be found in the Marshall Islands, Palau, Vanuatu, and a number of small areas within the Philippines and Indonesia, we do not find that H. hippopus is at or near a level of abundance that places its continued persistence in question. However, given the ongoing threats of overutilization and inadequate regulatory mechanisms to address it, as well as documented populations declines that have been attributed to these threats, we find that the species is on a trajectory that puts it at a high level of extinction risk within the foreseeable future in the portion consisting of 24 countries and territories outside of Australia.

Having reached a positive answer with respect to the “status” question, we move on to determine whether this portion of the range is “significant.” The definition of “significant” in the SPR Policy has been invalidated in two District Court cases that addressed listing decisions made by the USFWS. The SPR Policy set out a biologically-based definition that examined the contributions of the members in the portion to the species as a whole, and established a specific threshold ( i.e., when the loss of the members in the portion would cause the overall species to become threatened or endangered). The courts invalidated the threshold component of the definition because it set too high a standard. Specifically, the courts held that, under the threshold in the policy, a species would never be listed based on the status of the species in the portion, because in order for a portion to meet the threshold, the species would be threatened or endangered range-wide. See Center for Biological Diversity v. Jewell, 248 F. Supp. 3d 946, 958 (D. Ariz. 2017); Desert Survivors v. DOI, 321 F. Supp. 3d 1011 (N.D. Cal. 2018). However, those courts did not take issue with the fundamental approach of evaluating Start Printed Page 60532 significance in terms of the biological significance of a particular portion of the range to the overall species. NMFS did not rely on the definition of “significant” in the policy here. Rather, to assess whether a portion of a species' range is “significant,” we consider relevant biological information, such as whether the portion was historically highly abundant, potentially functioning as a source population for other areas of the range, whether there is evidence that it was historically highly productive with potential to contribute to the population growth of this species as a whole, whether the portion encompasses a substantial area relative to the species' current range, whether the portion historically facilitated gene flow between populations, and whether the portion contains genetic or phenotypic diversity that is important to species viability. The contribution or role of that portion to the viability of the species as a whole is also considered from a historical, current, and future perspective to the extent possible.

With respect to H. hippopus, there is strong evidence that the portion of the species' range defined as all locations outside of Australia qualifies as a “significant portion.” Based on historical trade statistics, as well as the countless reports describing major population losses resulting from years of domestic harvest and intense commercial harvest, primarily for the international shell and shell-craft industry ( e.g., see Villanoy et al., 1988; Kinch, 2003; Dolorosa & Schoppe, 2005; Harahap et al., 2018; Purcell et al., 2020), it is clear that H. hippopus was historically highly abundant in this portion of its range.

Furthermore, prior to these losses, it is likely that populations in this portion, which includes 24 of 26 locations comprising the species' range ( i.e., all locations except for the Great Barrier Reef and NW islands in Australia), played a critical role in maintaining genetic connectivity throughout the species' range. For many marine organisms, and particularly sedentary taxa such as giant clams, long-range dispersal ( e.g., between islands and other distant locations) is likely highly stochastic and infrequent (see Cowen et al., 2003; Siegel et al., 2008). As is discussed above in Growth and Reproduction, it relies on a process known as `sweepstakes' reproduction, in which spawning and fertilization coincidentally align with oceanographic conditions that facilitate successful long-distance dispersal and recruitment to a suitable habitat. The relatively short pelagic larval duration of giant clams (~6-14 days) further limits the probability of long-distance dispersal. Thus, it is likely that H. hippopus was dependent on serial migration between nearby locations ( i.e., `stepping stones') to maintain genetic connectivity throughout its range. Historically, this portion would have once facilitated this connectivity between populations.

Given its geographic size, this portion of the species' range encompasses a wide variety of habitats and environmental conditions. Therefore, we expect that, to some extent, past populations were likely genetically adapted to their local setting, as has been demonstrated with respect to numerous other marine organisms across similar geographic scales ( e.g., see Sanford & Kelly, 2011 for comprehensive review). Such genetic diversity can function as an important foundation to enhance the resilience of the species and facilitate future adaptation to environmental change. Furthermore, given the geographic extent of this portion of this range and the varied habitats it encompasses, the populations of H. hippopus within this portion would have provided an important demographic reserve, which could facilitate recovery following stochastic mortality events or other localized population declines.

Based on the rationale described above, we find that the portion of the species' range defined as all locations outside of Australia is “significant,” and serves a biologically important role in maintaining the long-term viability of H. hippopus.

Despite a lack of formal, comprehensive abundance estimates, the best available scientific and commercial data suggest that H. porcellanus has suffered significant population declines since the 1970s, leading to low abundance and very few remaining populations throughout its historical range. The inherent risks of such low abundance are compounded by low natural productivity, which likely prevents any substantial short-term rebound. Additionally, our threats assessment revealed that past and present overutilization in subsistence fisheries, domestic markets, and the international trade of giant clam shells and shell-craft, as well as the inadequacy of existing regulatory mechanisms to address this overutilization contribute most significantly to the extinction risk of this species. H. porcellanus has historically been highly desired commercially for the aesthetic of its shell and once comprised a substantial portion of the giant clam shell export volume from the Philippines, reaching a total export of nearly a million H. porcellanus shells and shell pairs between 1978 and 1992. While H. porcellanus is no longer legally exported from the Philippines, reports of ongoing subsistence harvest throughout its range and illegal poaching to supply a continued demand for giant clam shells and shell-craft throughout East Asia suggest that the species will likely continue to experience declining trends in its abundance and productivity in the foreseeable future. Based on our assessment of these threats and demographic risk factors, we conclude that H. porcellanus is at a high risk of extinction throughout its range.

Considering the best available scientific and commercial data regarding T. derasa from all locations of the species' range, we determined that the most critical demographic risks to T. derasa are the low abundance and negative trajectory of populations throughout the majority of its range, compounded by low natural productivity and the likelihood of the Allee effect. Additionally, our threats assessment revealed that the past and present overutilization due to subsistence fisheries, domestic markets, and the international trade of giant clam meat and poaching, as well as the inadequacy of existing regulatory mechanisms to address this overutilization contribute most significantly to the extinction risk of this species. Continued harvest of T. derasa primarily for subsistence purposes, combined with the species' low productivity will likely drive further population declines and prevent any substantial population rebound. We also consider that the close association of T. derasa with coral reefs may make the species more susceptible to the projected impacts of ocean warming and acidification on coral reef habitats.

As with H. hippopus, the best available scientific and commercial data indicate that very few abundant populations of T. derasa remain and occur primarily in the waters of Australia. Extensive surveys of T. derasa on the Great Barrier Reef from the 1980s (Braley, 1987a, 1987b) found that the species' distribution was patchy with several sites of relatively high density (>10 ind ha -1 ) interspersed among many other sites of low abundance or where the species was completely absent. The Swain Reefs in particular, a group of approximately 350 offshore reefs in the southern region of Start Printed Page 60533 the Great Barrier Reef, was one area described as having especially high abundance of T. derasa, with densities ranging from 12 to 172 ind ha -1 (Pearson, 1977). Based on the species' patchy distribution and the observed pattern of recruitment, Braley (1988) found it likely that the relatively few reefs with abundant populations of clams (mostly in the south) may dominate recruit production for the rest of the Great Barrier Reef.

According to Pearson (1977), during the 1960s and early 1970s, Taiwanese vessels poached giant clams (primarily T. gigas and T. derasa ) from the entire length of the Great Barrier Reef. As surveillance and enforcement efforts by Australian authorities increased in the 1970s, poachers began to concentrate their activities to offshore areas, such as the Swain Reefs, but this likely only lasted at significant scale for a few years, as Dawson (1986) claimed that during the lead up to the declaration of the Australian Fishing Zone (AFZ) in 1979, Taiwanese authorities were warned that continued illegal poaching of giant clams would jeopardize Taiwan's position in gaining access rights to the AFZ. This forced the Taiwanese government to enhance inspection of suspected boats upon departure and return to port. According to Dawson (1986), “the combined effect of these two components, almost certain apprehension by the coastal State and effective sanctions by the flag State, combined to result in the virtual cessation of illegal giant clam activities in the AFZ.” Based on this assessment and because subsistence demand for giant clams in Australia is minimal, we find it likely that the population density estimates provided by Braley (1987a, 1987b) generally represent the current status of T. derasa on the Great Barrier Reef. This is further supported by more recent reviews and reports (bin Othman et al., 2010; Braley, 2023; Neo et al., 2017; S. Wells, 1997) suggesting that T. derasa is still relatively abundant on much of the Great Barrier Reef.

There is also quantitative evidence that T. derasa occurs in significant numbers in the outlying islands of NW Australia (Richards et al., 2009; Skewes et al., 1999), likely benefitting from the strong regulatory protections within Australian waters. Additionally, in Palau, although subsistence harvest of giant clams is permitted and is reported to occur commonly, a recent survey indicated relatively large populations of T. derasa (Rehm et al., 2022). As with H. hippopus, it is possible that the significant output from the PMDC mariculture facility and reported efforts to use a portion of T. derasa seedstock to enhance depleted populations in certain conservation areas may be balancing the harvest pressure in Palau. However, without further information, we are not able to assess with confidence whether T. derasa abundance in this location is stable, or whether it may be increasing or decreasing significantly due to one factor outweighing the other.

In contrast to these 3 locations where T. derasa populations are relatively healthy ( i.e., the Great Barrier Reef, NW Australia, Palau), the best available data indicate that, at the 15 other locations across the range where this species naturally occurs, extensive exploitation for past commercial trade, ongoing subsistence use, and illegal harvest have driven T. derasa to exceptionally low abundance, and in some cases, extirpation. The continued threat of overutilization, the inadequacy of existing regulatory mechanisms to address overutilization, the possible future threat of habitat degradation due to climate change impacts on coral reefs, and the demographic risks outlined above, likely put the species at a high level of extinction risk in these locations. However, because T. derasa populations in Australia and Palau are relatively abundant, and the enforcement of strict harvest bans have effectively minimized the threat of overutilization in Australian waters, we cannot conclude that the species is at moderate or high risk of extinction throughout its entire range.

It is worth highlighting that, although we refer to the Great Barrier Reef as only one location for the purpose of this analysis, it covers an expansive geographic area that comprises a substantial proportion of the suitable habitat within the species' range. Additionally, while the future threat of habitat degradation due to climate change impacts on coral reefs may be relevant to these populations, we do not have sufficient information to confidently assess the extent to which the survival or productivity of giant clams (even those species closely associated with coral reefs, such as T. derasa ) may be impacted by projected changes to coral reef communities.

Having determined that T. derasa is not at moderate or high risk of extinction throughout all of its range, in order to inform the listing determination, we conducted an additional analysis to assess whether the species is at higher risk of extinction in a “significant portion of its range”—that is, we assessed whether there is any portion of the species' range for which it is true that both (1) the portion is significant and (2) the species, in that portion, is in danger of extinction or likely to become so in the foreseeable future.

Because we determined that the most significant threats to T. derasa are overutilization and the inadequacy of regulatory mechanisms to address overutilization, we focused our analysis on the portion of the range where these threats are most severe, consistent with the approach used in the SPR analysis for H. hippopus. As discussed above, several sources indicate that the early adoption of strict harvest prohibitions in Australia has been largely effective at preventing illegal harvest and minimizing the risk of overutilization of giant clams in Australian waters. This differs considerably from reports from every other location throughout the species' range, which consistently indicate that the threat of overutilization in combination with inadequate regulation and enforcement poses a significant extinction risk to T. derasa. Thus, for the purpose of this SPR analysis, we distinguish locations in Australia ( i.e., the Great Barrier Reef and NW Australia) from all other locations where T. derasa occurs and consider them as two separate portions of the species' range.

In this case, the portion outside of Australia that was further considered includes 16 countries and territories (Christmas Island, Cocos (Keeling) Islands, Taiwan, South China Sea, Indonesia, Malaysia, Philippines, Fiji, New Caledonia, Papua New Guinea, Solomon Islands, Vanuatu, Guam, CNMI, Palau, and Tonga) where the primary threat to the species is overutilization. In 15 of these locations, the best available scientific and commercial data, consisting of surveys as well as qualitative descriptions of abundance, suggest that past commercial harvest for the giant clam meat trade, past and ongoing subsistence harvest, and widespread illegal poaching have driven T. derasa to exceptionally low abundance, and in several cases, extirpation. The one exception is Palau, where a recent survey of the main island group and past surveys of a remote uninhabited atoll indicate that abundance of T. derasa is likely relatively high. However, as is discussed above, while commercial export of wild-caught giant clams is prohibited in Palau, harvest for subsistence purposes and for sale in domestic markets is reportedly very common, and T. derasa is one species that is specifically targeted by locals.

As with H. hippopus, the success of mariculture operations in Palau could Start Printed Page 60534 theoretically prevent the species from going extinct in the foreseeable future. For example, since 1990, the PMDC alone has cultured over 150,000 T. derasa for export internationally, and likely many more that were traded or distributed domestically, or were otherwise not included in CITES reports. It is possible that the threat of overutilization in Palau has been somewhat offset in the short term by documented efforts to reseed depleted populations (see Protective Efforts). However, as we discussed previously with respect to H. hippopus, we are not basing our assessment on the past success of mariculture operations; its reliance on a number of unpredictable factors ( e.g., funding, management priorities, natural disasters, etc. ) makes it difficult to extrapolate the effect of mariculture beyond the next few years. Thus, we based our assessment on the demographic risks of low abundance and low productivity that exist in 15 of 16 locations in this portion where the species naturally occurs, and the ongoing threats of overutilization and inadequate regulatory mechanisms to address it in all 16 locations.

Similar to H. hippopus, we considered the geographic range of the remaining populations, noting that the species still occurs in 16 locations within this portion of its range, which encompass a broad geographic area and a variety of environmental conditions within the Indo-Pacific region. However, Palau is the only location in this portion where T. derasa is considered frequent (although, we note that two recent surveys have found relatively abundant populations in the Anambas Islands and Raja Ampat region of Indonesia). Because of its large size, T. derasa is often the most highly desired species for subsistence consumption and to sell for its meat in local markets. This continued demand at the local level, combined with the widespread and lasting impact of the Taiwanese poaching effort, has driven the species to exceptionally low abundance on average in this portion of its range. Among the many low estimates of population density, T. derasa has been described as “virtually extinct from most of [the Philippines] due to overexploitation” (Gomez & Alcala, 1988), “likely functionally extinct” from Karimun Jawa, Indonesia (Brown & Muskanofola, 1985), and “at risk of extirpation” in New Caledonia (Purcell et al., 2020). For these reasons, despite the geographic scope of the remaining T. derasa populations, given the desirability and ongoing demand for T. derasa for consumption and sale in local markets, we find that the species is at or near a level of abundance that places its continued persistence in this portion in question (high extinction risk).

Having reached a positive answer with respect to the “status” question, we next considered whether this portion of the range is “significant.” Similar to the SPR analysis for H. hippopus, we considered the historically high abundance of T. derasa in this portion of the range, as evidenced by trade statistics and the many reports of major population losses resulting from years of subsistence and commercial harvest. Additionally, as was described with respect to H. hippopus, it is likely that populations in this portion played an important role in maintaining genetic connectivity throughout the species' range. Given the relatively short pelagic larval phase of giant clams (~6-14 days), there is a diminishing likelihood of larval dispersal between locations at progressively greater distances. Therefore, genetic exchange between distant populations likely relied on many smaller dispersal events across the network of more closely spaced islands or habitat areas that comprise this portion of the species' range. Lastly, considering the geographic extent of this portion and the diverse habitats that it encompasses, the populations of T. derasa within this portion likely served as an important demographic and genetic reserve, which could facilitate recovery following localized population declines. Based on this rationale, we find that the portion of the species' range defined as all locations outside of Australia is “significant,” or in other words serves a biologically important role in maintaining the long-term viability of T. derasa.

Considering the best available scientific and commercial data regarding T. gigas from all locations of the species' range, we determined that the most critical demographic risks to T. gigas are the low abundance and negative trajectory of populations throughout the majority of its range, compounded by low natural productivity and likely Allee effect. Additionally, our threats assessment revealed that the past and present overutilization due to subsistence fisheries, domestic markets, the international trade of giant clam meat and poaching, and the international trade of giant clam shells and shell-craft, as well as the inadequacy of existing regulatory mechanisms to address this overutilization contribute most significantly to the extinction risk of this species. Continued harvest of T. gigas primarily for subsistence purposes and illegally by poachers, combined with the species' low productivity will likely drive further population declines and prevent any substantial population recovery in locations where it is rare.

The best available scientific and commercial data indicate that very few abundant populations of T. gigas remain and occur exclusively on the Great Barrier Reef in Australia. Extensive surveys of T. gigas on the Great Barrier Reef from the 1980s (Braley, 1987a, 1987b) recorded population densities as high as 56 ind ha -1 , with numerous sites hosting populations of T. gigas at densities greater than 10 ind ha -1 interspersed among other sites of low abundance or where the species was completely absent. Braley (1987a) noted that T. gigas was present on 36 of 57 (63 percent) randomly chosen survey sites, and 17 of 19 (89 percent) sites chosen specifically because of known giant clam populations. High population densities were found in the Cairns, Cooktown, and Escape Reefs transects, while no living T. gigas were observed south of 19° S. Based on the species' patchy distribution and the observed pattern of recruitment, Braley (1988) found it likely that the scattered reefs hosting abundant populations of clams (mostly in the south) may dominate recruit production for the rest of the Great Barrier Reef.

As was discussed in the extinction risk analysis for T. derasa, Taiwanese vessels poached giant clams (primarily T. derasa and T. gigas ) from the Great Barrier Reef during the 1960s and 1970s. However, strict enforcement of a harvest ban on giant clams resulted in the virtual cessation of illegal giant clam activities in Australia by the mid-1980s. Based on this information and because giant clams are not harvested for subsistence in Australia, we find it likely that the population density estimates provided by Braley (1987a, 1987b) generally represent the current status of T. gigas on the Great Barrier Reef. This is further supported by more recent reviews and reports (bin Othman et al., 2010; Braley, 2023; Neo et al., 2017; S. Wells, 1997) suggesting that T. gigas is still relatively abundant on much of the Great Barrier Reef. According to R.D. Braley (pers. comm., October 19, 2022) and Neo et al. (2017), the distribution of T. gigas on the Great Barrier Reef represents a “natural” and “virtually undisturbed” state for the species.

In contrast to the Great Barrier Reef, where T. gigas populations are relatively healthy, the best available data indicate that, at the other 32 of 33 Start Printed Page 60535 locations across the range with documented natural occurrence of this species, extensive exploitation for past commercial trade, ongoing subsistence use, and illegal harvest have driven T. gigas to exceptionally low abundance, and in many cases, extirpation (this applies to all locations except NW Australia, where the low abundance cannot be attributed to harvest). The continued threat of overutilization, the possible future threat of habitat degradation due to climate change impacts on coral reefs, and the demographic risks outlined above, places the continued persistence of T. gigas in these locations in question. However, because T. gigas populations on the Great Barrier Reef are relatively abundant, even described as “virtually untouched,” and the enforcement of strict harvest bans have effectively minimized the threat of overutilization in Australian waters, we cannot conclude that the species is at moderate or high risk of extinction throughout its entire range.

It is worth highlighting that, although we refer to the Great Barrier Reef as only one location for the purpose of this analysis, it covers an expansive geographic area that comprises a substantial proportion of the suitable habitat within the species' range. Additionally, as is mentioned in regard to T. derasa, while the future threat of habitat degradation due to climate change impacts on coral reefs may be relevant to T. gigas populations, including those on the Great Barrier Reef, we do not have sufficient information to confidently assess the extent to which the survival or productivity of giant clams may be impacted by projected changes to coral reef communities.

Having determined that T. gigas is not at moderate or high risk of extinction throughout all of its range, in order to inform the listing determination, we conducted an additional analysis to assess whether the species is at higher risk of extinction in a “significant portion of its range”—that is, we assessed whether there is any portion of the species' range for which it is true that both (1) the portion is significant and (2) the species, in that portion, is in danger of extinction or likely to become so in the foreseeable future.

Because we determined that the most significant threats to T. gigas are overutilization and the inadequacy of regulatory mechanisms to address overutilization, we focused our analysis on the portion of the range where these threats are most severe, consistent with the approach used for both H. hippopus and T. derasa. As has been discussed, several sources indicate that the early adoption of strict harvest prohibitions in Australia has been largely effective at preventing illegal harvest and minimizing the risk of overutilization of giant clams in Australian waters. This differs considerably from reports from every other location throughout the species' range, which consistently indicate that the threat of overutilization in combination with inadequate regulatory mechanisms to address that threat pose a significant extinction risk to T. gigas. Thus, for the purpose of this SPR analysis, we distinguish locations in Australia ( i.e., the Great Barrier Reef and NW Australia) from all other locations where T. gigas occurs and consider them as two separate portions of the species' range.

In this case, the portion of the range outside of Australia that we considered further includes 29 countries and territories (Andaman and Nicobar Islands (India), Christmas Island, Cocos (Keeling) Islands, Japan, Taiwan, China, South China Sea, Indonesia, Malaysia, Myanmar, Cambodia, Philippines, Singapore, Thailand, Vietnam, East Timor, Fiji, New Caledonia, Papua New Guinea, Solomon Islands, Vanuatu, FSM, Guam, Republic of Kiribati, Marshall Islands, CNMI, Palau, Tonga, and Tuvalu) where the primary threat to the species is overutilization. In all of these locations, the best available scientific and commercial data, consisting of survey data as well as qualitative descriptions of abundance, suggest that past commercial harvest for the giant clam meat trade, past and ongoing subsistence harvest, and widespread illegal poaching have driven T. gigas to exceptionally low abundance, and in many cases, extirpation. Based on the demographic risks of low abundance and low productivity in this portion, and the ongoing threats of overutilization and inadequate regulatory mechanisms to address overutilization in all 29 locations, we conclude that in the portion of the species' range defined as all locations outside of Australia, T. gigas is at or near a level of abundance that places it at high risk of extinction.

To evaluate whether this portion is “significant,” we applied similar rationale as was used with respect to the SPR analyses for H. hippopus and T. derasa. We considered the historically high abundance of T. gigas in this portion of the range, as evidenced by trade statistics and the many reports of major population losses resulting from years of subsistence and commercial harvest. Additionally, as was described in relation to H. hippopus and T. derasa, it is likely that populations of T. gigas in this portion played an important role in maintaining genetic connectivity throughout the species' range. Given the relatively short pelagic larval phase of giant clams (~6-14 days), there is a diminishing likelihood of larval dispersal between locations at progressively greater distances. Therefore, genetic exchange between distant populations likely relied on many smaller dispersal events across the network of more closely spaced islands or habitat areas that comprise this portion of the species' range. Lastly, considering the geographic extent of this portion and the diverse habitats that it encompasses, the populations of T. gigas within this portion likely served as an important demographic and genetic reserve, which could facilitate recovery following localized population declines. Based on this rationale, we find that the portion of the species' range defined as all locations outside of Australia is “significant,” or in other words serves a biologically important role in maintaining the long-term viability of T. gigas.

Despite a lack of formal, comprehensive abundance estimates, the best available scientific and commercial data suggest that T. mbalavuana occurs at exceptionally low abundance and is sparsely distributed throughout its highly restricted range. Anecdotal accounts from traditional fishermen in Tonga indicate that the species has experienced significant population loss since the 1940s, which has been attributed at least in part to longstanding harvest of giant clams in both Fiji and Tonga, where the species primarily occurs. The inherent risks of such low abundance are compounded by low natural productivity and the likelihood of the Allee effect, which likely prevents any substantial short-term recovery. Additionally, our threats assessment revealed that past and present overutilization and associated inadequacy of existing regulatory mechanisms at the local level contribute most significantly to the extinction risk of this species. T. mbalavuana has historically been and continues to be collected for subsistence consumption and for sale in domestic markets, occasionally being mistaken for T. derasa by local fishermen. While commercial export of giant clams has been prohibited in both Fiji and Tonga, existing regulations afford little protection to the species from the ongoing domestic harvest. Based on our assessment of these threats and Start Printed Page 60536 demographic risk factors, we conclude that T. mbalavuana is at a high risk of extinction throughout its range.

Considering the best available scientific and commercial data regarding T. squamosa from all locations of the species' range, we determined that the most critical demographic risk to the species is the low natural productivity of giant clams generally, reflected by reports of little to no T. squamosa recruitment in several recently published surveys from Malaysia, Singapore, and Palau. Additionally, our threats assessment revealed that past and present overutilization due to subsistence fisheries, domestic markets, the international trade of giant clam shells and shell-craft, and the international trade of live giant clams for aquaria, as well as the inadequacy of existing regulatory mechanisms to address overutilization contribute most significantly to the extinction risk of this species. Continued harvest of T. squamosa primarily for subsistence purposes, combined with the species' low productivity may drive further population declines and prevent substantial recovery in locations where the species is already rare, including much of southeast Africa and the Pacific islands.

However, the best available scientific and commercial data indicate that there are a number of locations where T. squamosa still occurs at relatively high abundance. This includes significant portions of South Asia and the Red Sea, two regions which notably have been subjected to a long history of subsistence harvest, and in the case of South Asia, intense commercial trade of T. squamosa shells throughout the 1980s. Yet, based on available reports, we consider T. squamosa to be “frequent” (10-100 ind ha -1 ) or “abundant” (>100 ind ha -1 ) in locations such as Indonesia, the Philippines, Malaysia, Australia (Great Barrier Reef), the Solomon Islands, and Saudi Arabia, all of which host substantial coral reef habitat, and likely also suitable habitat for T. squamosa based on the species' known habitat preferences. Furthermore, of the 63 locations where T. squamosa has been observed, it has been reported as likely extirpated in only 2 of them. Thus, its current distribution encompasses an expansive geographic range and broad array of environmental conditions. Together, these factors suggest that, despite the many reports of population decline in most locations throughout its range, T. squamosa may be somewhat resilient to the threat of subsistence harvest at its current level, particularly in the Indo-Malay and Red Sea regions.

The general lack of information regarding T. squamosa productivity ( e.g., natural reproductive and recruitment success) and long-term abundance trends limits our understanding of the factors that may underlie this apparent resilience. One important factor may be that, although T. squamosa was harvested extensively for the commercial shell trade in the 1980s, it was not targeted for its meat by commercial entities and illegal poachers with the same intensity as T. gigas and T. derasa, which severely depleted these species in the South Asia region. It is also possible that the global abundance of T. squamosa was historically larger than other giant clam species, or that high demographic connectivity within the Indo-Pacific and Red Sea regions, as is suggested by the available population genetic data, may facilitate significant larval exchange and recovery of depleted populations.

Regardless, given the relatively high abundance of T. squamosa in major portions of its range and its expansive distribution, we conclude that the species is at low risk of extinction throughout its entire range. In other words, based on the best available scientific and commercial data, we find it unlikely that the current and projected threats to the species, namely ongoing subsistence harvest and inadequate regulatory mechanisms to address overutilization, place the continued existence of T. squamosa in question presently or within the foreseeable future.

Having determined that T. squamosa is at low risk of extinction throughout all of its range, in order to inform the listing determination, we conducted an additional analysis to assess whether the species is at higher risk of extinction in a “significant portion of its range”—that is, we assessed whether there is any portion of the species' range for which it is true that both (1) the portion is significant and (2) the species, in that portion, is in danger of extinction or likely to become so in the foreseeable future. We analyzed two different configurations of portions ( e.g., Australia and all areas where T. squamosa currently is known to occur outside of Australia; and Red Sea, southeast Africa, Indo-Malay Archipelago, and Cenderwasih Bay), both of which had a reasonable likelihood of meeting these conditions, as described in more detail below.

As with the SPR analyses for H. hippopus, T. derasa, and T. gigas, because we determined that the most significant threats to T. squamosa are overutilization and inadequacy of regulatory mechanisms to address that threat, we base our analysis here on the portion of the range where these threats are most severe. Using the same rationale as was used for H. hippopus, T. derasa, and T. gigas, we distinguish locations in Australia ( i.e., the Great Barrier Reef and NW Australia) from all other locations where T. squamosa occurs and consider them as two separate portions of the species' range.

The portion outside of Australia that we further considered includes 59 countries and territories (see table 1) where the primary threat to the species is overutilization due to subsistence fisheries, domestic markets, the international trade of giant clam shells and shell-craft, and the international trade of live giant clams for aquaria. Unlike the SPR analyses for H. hippopus, T. derasa, and T. gigas, however, there are a number of locations, including the Philippines, Indonesia, Malaysia, and much of the Red Sea, where the best available scientific and commercial data suggest that T. squamosa abundance is quite high and where there is substantial coral reef area, and likely suitable habitat for T. squamosa based on the species' known habitat preferences.

While it is clear that T. squamosa has suffered significant population declines throughout much of this portion of its range, available reports suggest that a major fraction of the loss can be attributed to the intense commercial demand for its shell and shell products in the 1980s, particularly in the South Asia region. Since the early 1990s, when the commercial shell industry in the Philippines began to dwindle, harvest of T. squamosa has primarily been limited to a smaller scale, mostly for subsistence consumption or for sale in local markets. As is discussed above, harvest for subsistence purposes continues to occur in all locations outside of Australia, constituting the most significant present and future threat to T. squamosa within this portion of its range.

Without the benefit of long-term monitoring data, we are not able to assess population trends over the last few decades to quantitatively evaluate the effect of the ongoing subsistence harvest. However, given the reports of relatively high abundance in locations such as the Philippines, Indonesia, and Malaysia, where T. squamosa has been subjected to both commercial harvest and longstanding subsistence harvest, Start Printed Page 60537 and much of the Red Sea, where subsistence harvest is common, we find that T. squamosa is at low risk of extinction in this portion of its range.

Having determined that T. squamosa is at low risk of extinction in the portion of its range including all locations outside of Australia, we also considered population genetics as a means of delineating alternative portions of the species' range. As is discussed above, the best available population genetic data indicate at least four (possibly five) discrete metapopulations, located in the Red Sea, southeast Africa, Indo-Malay Archipelago, and Cenderwasih Bay in northern Papua (and a possible fifth population in the eastern Indian Ocean). Studies of other broadly distributed species ( e.g., T. maxima and T. crocea ) suggest that there may also be genetic breaks between the central and western Pacific islands, and also between the western Pacific and Indo-Malay Archipelago (Nuryanto & Kochzius, 2009; Huelsken et al., 2013; Hui et al., 2016). However, we were not able to find any studies including data from T. squamosa populations in the Pacific islands to confirm these patterns in this species. Because population genetic patterns are often variable between species, we cannot rely on these inferences for the purposes of this analysis.

Therefore, we consider the populations of T. squamosa in the Red Sea, southeast Africa, Indo-Malay Archipelago, and Cenderwasih Bay as four distinct portions of the species' range. As has been addressed above, the relatively high abundance of T. squamosa within the Red Sea and Indo-Malay regions leads us to conclude that the species is likely at low risk of extinction in these portions of its range. With respect to the portions in southeast Africa and in Cenderwasih Bay, given their genetic and likely demographic isolation from the majority of the species' range, as well as the relatively small geographic area they occupy, we do not find that these two portions can be considered “significant,” or that they likely serve a biologically important role in maintaining the long-term viability of this species. Thus, as a result of this SPR analysis, we do not find any portions within the range of T. squamosa for which it is true that both the portion is significant and that the species in the portion is at moderate or high risk of extinction.

The best available scientific and commercial data suggest that T. squamosina occurs at exceptionally low abundance and is sparsely distributed throughout its highly restricted range. Since the re-discovery of the species in 2008, there have been only 30 recorded observations of T. squamosina, which are divided between the Gulf of Aqaba in the northern Red Sea and two sites including the Farasan Islands in the south. The inherent risks of such low abundance are compounded by low natural productivity, which likely prevents any substantial recovery of the species in the near future. Additionally, our threats assessment revealed that past and present overutilization and associated inadequacy of existing regulatory mechanisms at the local level contribute most significantly to the extinction risk of this species. T. squamosina has historically been and continues to be collected for subsistence consumption and for sale in domestic markets, and the existing regulatory mechanisms are limited to the management of a few protected areas, affording little protection to the species in the remainder of its range. Based on our assessment of these threats and demographic risk factors, we conclude that T. squamosina is at a high risk of extinction throughout its range.

Section 4(b)(1)(A) of the ESA requires that NMFS make listing determinations based solely on the best available scientific and commercial data after conducting a review of the status of the species and taking into account those efforts, if any, being made by any State or foreign nation, or political subdivisions thereof, to protect and conserve the species. Above, we identified local and international regulatory mechanisms that have been adopted in some parts of these species' ranges, and determined that these mechanisms were generally inadequate to address threats arising from overutilization outside of Australia. In reaction to dwindling giant clam stocks throughout the Indo-Pacific, several nations have supported efforts exploring the use of mariculture to replenish and/or re-establish populations in local waters. As of 2016, there were an estimated 20 giant clam mariculture facilities in operation, primarily in the Pacific islands, as well as in Indonesia, Malaysia, the Philippines, and Australia (Mies, Dor, et al., 2017). Here, we specifically examine whether mariculture efforts may be contributing to the protection and conservation of the seven giant clam species at issue in this proposed rulemaking.

There is extensive literature highlighting the challenges of giant clam mariculture generally, and particularly for the purpose of stock replenishment (Munro, 1993a; Gomez & Mingoa-Licuanan, 2006; Teitelbaum & Friedman, 2008; Mies, Scozzafave, et al., 2017). The primary barrier to these efforts is the exceptionally low survival rate of giant clam larvae post-fertilization compounded by the time and resources required to protect juveniles once they have been outplanted and before they reach a size at which they are sufficiently protected from predation. Despite the numerous restocking and translocation programs known to exist throughout the Indo-Pacific, most are reported to still be operating on a small or pilot scale with only partial success, and further intensification of giant clam mariculture for the purpose of stock replenishment or reintroduction is in most cases considered economically unviable (Teitelbaum & Friedman, 2008; UNEP-WCMC, 2012).

One possible exception is in Palau, where the PMDC has pioneered many of the methods for giant clam mariculture and has successfully cultured large numbers of giant clams, particularly T. derasa. Following receipt of funding from the United States in 1982, the PMDC expanded production of giant clams substantially, and the facility began exporting significant quantities of “seed” clams ( i.e., small juveniles) and broodstock to many other Indo-Pacific countries and territories (Shang et al., 1994). It is difficult in most cases to determine the exact purpose of the shipments—some were intended to be used exclusively for conservation-related stock enhancement, while others were used to establish local hatcheries for the purpose of subsistence or commercial harvest. Additionally, there are reports that a portion of the H. hippopus and T. derasa culture stock is being used to enhance giant clam populations in 23 conservation areas around Palau (Kinch & Teitelbaum, 2010; L. Rehm, pers. comm., May 26, 2022). We could not find any follow-up surveys specifically documenting the success of these efforts (or lack thereof). According to L. Rehm (pers. comm., May 26, 2022), authorities in Palau struggle to enforce the regulations of conservation areas, particularly those on offshore reefs, because they lack sufficient personnel and equipment, potentially negating any benefit of reseeding.

In regard to the individual species addressed here, several countries are known to have imported H. hippopus broodstock for the purposes of stock enhancement or reintroduction, but there is very little information regarding the success of these efforts in establishing sustainable populations of Start Printed Page 60538 H. hippopus in the wild. An unpublished report by Braley ( n.d. ) describes the outcome of translocating a single cohort of H. hippopus (~70,000 specimens) from Australia to Fiji, Tonga, and the Cook Islands in 1991. According to the report, survival to mid-1997 averaged 1.79 percent across all the countries, and was considerably higher in Tonga (5.2 percent) compared to Fiji (0.04 percent) and the Cook Islands (0.13 percent). In Fiji and the Cook Islands, only 9 and 27 clams, respectively, remained in 1997 from the original 25,000 and 20,000 clams delivered to the countries in 1991. In Tonga, 1,300 of the 25,000 original clams survived to 1997, but many of these were still being actively managed in protective cages on the sand flat.

There have also been a number of countries and territories which have cultured or imported T. derasa and T. gigas for the purpose of restocking depleted populations or to introduce the species to locations outside of its natural range. Because of its relatively fast growth rate, T. derasa has been a priority for mariculture throughout the Indo-Pacific for many years. There are at least 17 countries and territories with hatchery and/or growout facilities that have cultured T. derasa for the purpose of enhancing depleted populations (Lindsay et al., 2004; Mies, Dor, et al., 2017), and several others that have initiated T. derasa restocking programs without domestic hatcheries (Teitelbaum & Friedman, 2008).

There are also numerous mariculture facilities where T. squamosa has been cultured successfully, but most are focused primarily on commercial production for the ornamental aquarium industry. We are aware of facilities in Fiji, Tonga, Cook Islands, Marshall Islands, Palau, Papua New Guinea, American Samoa, Samoa, FSM, Solomon Islands, Tuvalu, Vanuatu, Japan, Philippines, Malaysia, Indonesia, Thailand, Australia, and Hawaii (USA), which produce T. squamosa currently or did so in the past (Kittiwattanawong et al., 2001; Lindsay et al., 2004; Gomez & Mingoa-Licuanan, 2006; Teitelbaum & Friedman, 2008; Mies, Dor, et al., 2017; Neo et al., 2019). While many have experimented with outplanting cultured clams with the purpose of restocking natural populations, it seems that success of these efforts has been limited in most cases for reasons that have been discussed above ( e.g., difficulties in sustaining funding, monitoring, and protection). For example, the Marine Science Institute at the University of the Philippines produced 23,020 T. squamosa juveniles in October 2002 and distributed the clams throughout the Mindanao region to restock natural populations (Gomez & Mingoa-Licuanan, 2006). The fate of this specific restocking effort has not been publicly reported, but other species that had been outplanted during the same period (primarily T. gigas ) experienced high mortality in part due to a loss of institutional support, which limited the resources and personnel available to maintain and monitor the outplants (Gomez & Mingoa-Licuanan, 2006). Thus, it is likely that the T. squamosa suffered similarly low survivorship.

We are aware of two examples that have reported some measure of success in establishing sustainable populations of T. derasa in the wild. In Tonga, village-based nurseries of T. squamosa and T. derasa led to a notable increase in juvenile recruitment according to local accounts (Chesher, 1993). Villagers of Vava'u conveyed to the author that they had never seen so many young clams in surrounding reefs and that the children had collected and eaten “baskets” of them. This account, however, highlights the primary motivation of this effort, which was to replenish the natural giant clam stocks to support subsistence harvest, not to establish and conserve a sustainable population of the species. The most recent published survey of giant clams in the Vava'u area found that abundance of T. squamosa was very low, likely as a result of the ongoing harvest. Only 3 T. derasa and 10 T. squamosa were recorded in total across 27 survey sites in the area (Atherton et al., 2014). Similarly, with significant financial support from the United States, FSM imported approximately 25,000 T. derasa from Palau in 1984-90 with the goal of establishing naturally reproducing populations on Yap and several of its outer atolls (Lindsay, 1995). Because the species is not endemic to FSM, researchers were able to easily monitor whether the introduced populations did indeed reproduce and recruit successfully. However, a number of challenges, including theft, neglect, limited aquaculture skills, and storm damage, led to large losses of introduced clams (Lindsay, 1995). At the time of the report in 1995, a small percentage (approximately 8 percent) of introduced T. derasa remained, but there was evidence of successful reproduction and recruitment of offspring on surrounding reefs. Surveys conducted by the Secretariat of the Pacific Community (PROC-Fish/C-CoFish programmes) noted the continued presence of T. derasa in Yap in low numbers in mid-2006 (Teitelbaum & Friedman, 2008). We were not able to find any more recent monitoring data to indicate the current status of this introduced population, but with subsistence harvest of giant clams prevalent in FSM (Lindsay, 1995), it is unlikely to have grown significantly.

Beyond these examples, we could not find any other records documenting successful giant clam restocking initiatives. As is explained by Munro (1993b), efforts to replenish populations in areas where giant clams are still harvested should more accurately be viewed as “a form of fishery enhancement,” in that outplanted individuals will simply increase harvest volume rather than contribute to the conservation and long-term population growth of the species. In order to achieve significant conservation success, restocking initiatives must be accompanied by effective enforcement of harvest bans or an otherwise substantial reduction of harvest pressure on giant clams. However, as is discussed above, subsistence fishing for all giant clam species is ongoing throughout their respective ranges, and in most locations where harvest bans are in place, regulations are often poorly enforced.

There have also been a number of projects funded by the U.S. government seeking to explore markets, marketing strategies, and production economics for giant clams, with a particular focus on the Pacific islands that are subject to U.S. jurisdiction (Shang et al., 1990, 1992; Leung et al., 1994). As is described by Wells (1997), these projects have sponsored workshops on CITES and giant clam mariculture (Killelea-Almonte, 1992), funded hatchery development in American Samoa, and provided giant clam aquaculture training support for the U.S. Pacific Island territories. In American Samoa, T. derasa, T. gigas, and H. hippopus have all been cultured at the government hatchery with the “main aim of establishing local farms to produce meat for local market” (Wells, 1997). Wells (1997) reported that there were 6 lagoon nursery sites and 25 small-scale farms in operation in 1995, but the current status of each of these operations is not clear. According to Marra-Biggs et al. (2022), the “stocks were harvested prior to reproduction and appear to be functionally extirpated.” Samoa gifted approximately 650 T. derasa juveniles to American Samoa at the end of 2023, but similar to past giant clam nurseries, it appears that the primary ambition for this initiative is to establish a sustainable food source for the local community (American Samoa Department of Marine and Wildlife Resources Agency Report Start Printed Page 60539 2024). In Guam, a giant clam hatchery was established at the Guam Aquaculture Development and Training Center and in the past has received a number of shipments of T. derasa broodstock from the PMDC (Wells, 1997). However, many were lost due to damage from a cyclone in 1992, leaving approximately 100 specimens alive by 1994 (Wells, 1997). The current status of this initiative is not clear, but similar to American Samoa, many sources indicate that past attempts at giant clam mariculture in Guam have been plagued by persistent poaching. Heslinga et al. (1984) also noted that PMDC had shipped 500 T. gigas and 500 T. squamosa to the University of Guam Marine Laboratory “to explore the possibility of reintroducing giant clams to areas where they are now extinct or very rare.” However, we could not find any information indicating the outcome of these reintroductions, and later reports consistently consider T. gigas to be extinct in Guam (Munro, 1994; Pinca et al., 2010; Neo et al., 2017). Lastly, there is a report that T. gigas and T. squamosa were introduced to Keahole Point, Hawaii as part of a 5-year research project by Indo-Pacific Sea Farms to explore aquaculture of ornamental marine invertebrates for the aquarium trade (Heslinga, 1996). However, we are not aware of any efforts to outplant giant clams in Hawaii specifically for the purpose of establishing sustainable populations in the wild.

Thus, while there are many known mariculture facilities throughout the Indo-Pacific that have successfully bred and raised giant clams ex situ, there is little evidence that these initiatives further the protection or conservation of the seven species considered here. Without further information or survey data demonstrating such success, we consider the impact of these initiatives to be negligible with respect to the status of the species.

We have independently reviewed the best available scientific and commercial data, including the petition, public comments submitted in response to the 90-day finding ( 82 FR 28946 , June 26, 2017), the Status Review Report, and other published and unpublished information. We considered each of the statutory factors to determine whether they contributed significantly to the extinction risk of each of the seven giant clam species considered here, alone or in combination with one another. As required by section 4(b)(1)(A) of the ESA, we also took into account efforts to protect the species by States, foreign nations, or political subdivisions thereof, and evaluated whether those efforts provide a conservation benefit to the species.

Having considered this information in its entirety, we have determined that H. porcellanus, T. mbalavuana, and T. squamosina are presently in danger of extinction throughout the entirety of their respective ranges, T. derasa and T. gigas are in danger of extinction in a significant portion of their respective ranges, and H. hippopus is likely to become an endangered species within the foreseeable future in a significant portion of its range. Therefore, we propose to list H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina as endangered species and H. hippopus as a threatened species under the ESA. We have determined that the fluted clam ( T. squamosa ) is not currently in danger of extinction throughout all or a significant portion of its range and is not likely to become so within the foreseeable future. Therefore, we find that T. squamosa does not meet the definition of a threatened or an endangered species under section 4(a)(1) of the ESA.

This finding is consistent with the statute's requirement to base our findings on the best scientific and commercial data available, which is summarized and analyzed above, and discussed in more detail in Rippe et al. (2023).

As discussed in the section titled Overutilization for Commercial, Recreational, Scientific, or Educational Purposes, giant clams and their derivative products ( e.g., meat, shells, and shell carvings) are traded extensively in international markets and are commonly imported into the United States. Beginning in 2009, U.S. customs officials began encountering regular shipments of giant clam meat from Pacific island nations, chiefly from the Marshall Islands and FSM, but also from Fiji, Tonga, Palau, Samoa, Kiribati, and French Polynesia. Law enforcement personnel report that the meat is typically frozen in plastic bags or bottles and is often shipped in coolers mixed together with various other seafood products. The shipments are very rarely accompanied by valid CITES permits and are therefore nearly always seized or refused entry at the border when discovered.

LEMIS trade data provided by USFWS indicate that an average of 127 shipments of giant clam meat originating from the Marshall Islands and FSM were seized or refused entry at U.S. ports of entry per year from 2016 to 2020. These shipments equated to approximately 233 kg and 4,504 specimens per year, reflecting shipments recorded by weight and by number of specimens, respectively. Furthermore, over the past two years, U.S. law enforcement has documented an additional 250 cases of giant clam meat violations and seizures between December 2021 and October 2023 (S. Valentin, USFWS Office of Law Enforcement, pers. comm., November 8, 2023). The LEMIS trade data also reveal an average of 9 shipments of shell carvings, jewelry, and other worked shell products into the United States per year from 2016 to 2020. These shipments comprise approximately 152 specimens per year on average, in most cases without record of the location or species of origin.

Critically, for derivative giant clam parts and products, such as meat that has been removed from the shell and worked shell items ( i.e., carvings and jewelry), law enforcement personnel are not able to visually determine or verify the species from which the product is derived. Therefore, it is possible that these shipments may have contained any of the six giant clam species that are proposed for listing based on their extinction risk ( i.e., H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina ).

Section 4(e) of the ESA authorizes the treatment of a species, subspecies, or population segment as endangered or threatened if: “(a) such species so closely resembles in appearance, at the point in question, a species which has been listed pursuant to such section that enforcement personnel would have substantial difficulty in attempting to differentiate between the listed and unlisted species; (b) the effect of this substantial difficulty is an additional threat to an endangered or threatened species; and (c) such treatment of an unlisted species will substantially facilitate the enforcement and further the policy of this Act.”

The aforementioned reports from U.S. law enforcement personnel make it clear that the similarity of appearance between worked products derived from the species that are proposed for listing ( i.e., H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, T. squamosina ) and those from the species that are not proposed for listing ( i.e., T. crocea, T. maxima, T. noae, and T. squamosa ) causes substantial difficulty for law enforcement personnel in attempting to differentiate between the six species proposed for listing and the other four species that are not. Law enforcement personnel have expressed confidence in distinguishing the meat of Start Printed Page 60540 giant clams from that of other marine fauna based on visual characteristics, but note that visual differentiation between giant clam species is not possible.

Furthermore, the difficulty in distinguishing the species from which worked products are derived is an additional threat to the six species proposed to be listed under section 4(a)(1) of the Act. Due to the inadequacy of existing regulations, lack of enforcement capacity, and typical harvesting practices in most Pacific island nations (see sections titled Overutilization for Commercial, Recreational, Scientific, or Educational Purposes and The Inadequacy of Existing Regulatory Mechanisms ), it is possible, if not likely, that giant clam specimens reaching U.S. ports are harvested opportunistically with little regard for the species collected. Moreover, neither the Marshall Islands nor FSM are signatories to CITES and have not demonstrated the capacity to assess and regulate the trade of protected species. Because of these regulatory inadequacies and the aforementioned U.S. enforcement challenges, it is feasible that persons engaging in commerce involving derivative products from one of the six species proposed to be listed could misrepresent, either accidentally or purposefully, that such products are derived from a species that has not been proposed for listing. For example, a recent forensic investigation revealed that several recent seizures of giant clam meat contained specimens that were identified genetically as H. hippopus, T. gigas, and T. maxima, a combination of species that are and are not proposed to be listed. The meat of the three species was otherwise indistinguishable by law enforcement personnel, highlighting the substantial difficulty in differentiating the species visually and the potential for those species that are proposed to be listed as threatened or endangered to be misrepresented as species that are not proposed to be listed in shipments to the United States. In addition, given the significant volume of giant clam meat and shell products intercepted by law enforcement personnel on a regular basis, it is not always possible to conduct detailed forensic analyses due to a limited capacity to store and process the samples on site.

In order for the ESA's import and export restrictions to be effective, enforcement personnel must be able to quickly determine whether derivative parts or products are from a listed species at U.S. ports of entry and take appropriate enforcement action to suppress illegal trade. Misrepresentation of the species of giant clam would prevent effective enforcement of the import and export restrictions on the species proposed to be listed, because enforcement personnel will not be able to visually determine which species derivative parts or products are from. The high risk of misrepresentation, coupled with the visual similarity of certain derivative part or products of giant clams species, creates a loophole that would undermine the effectiveness of import and export restrictions imposed under section 9(a)(1)(A) of the ESA. The effect of this loophole—the weakened deterrent value of the Act in protecting the species proposed to be listed due to the substantial difficulty in visually distinguishing derivative parts or products among different species of giant clams—is an additional threat to the species that we propose to list under section 4(a)(1).

The similarity of appearance regulation proposed by NMFS in this action would substantially facilitate enforcement of the ESA's import and export restrictions, because it would allow enforcement personnel to easily identify and take enforcement action when they identify derivative parts or product from giant clams at U.S. ports of entry. Without a similarity of appearance regulation, derivative parts and products from a listed giant clam species could easily be mislabeled and imported to or exported from the U.S. This would substantially undermine the enforcement of regulations under section 9(a)(1) and section 4(d) for the protection of the proposed endangered and threatened species, respectively. We therefore propose to list T. crocea, T. maxima, T. noae, and T. squamosa as threatened species under the authority of section 4(e) of the ESA. These four species have ranges that overlap the Pacific region where virtually all of the shipments of giant clam meat to the U.S. originate. Taking this action would alleviate an enforcement challenge that has the potential to contribute to unauthorized commerce of endangered and threatened giant clam species in the U.S. and would provide for the conservation of these species under the ESA.

Conservation measures provided for species listed as endangered or threatened under the ESA include recovery actions ( 16 U.S.C. 1533(f) ); concurrent designation of critical habitat, if prudent and determinable ( 16 U.S.C. 1533(a)(3)(A) ); Federal agency requirements to consult with NMFS under section 7 of the ESA to ensure their actions are not likely to jeopardize the species or result in adverse modification or destruction of critical habitat should it be designated ( 16 U.S.C. 1536 ); and, for endangered species, prohibitions on “taking” ( 16 U.S.C. 1538 ). Recognition of the species' plight through listing also promotes conservation actions by Federal and State agencies, foreign entities, private groups, and individuals.

All of the prohibitions of section 9(a)(1) of the ESA will apply to the five species of giant clams that are proposed to be listed as endangered ( i.e., H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina ), should the proposed rule be adopted. We are also proposing to extend the section 9(a)(1) prohibitions to H. hippopus. Section 9(a)(1) prohibits import; export; delivery, receipt, carriage, transport, or shipment in interstate or foreign commerce of the species, by any means whatsoever and in the course of commercial activity; or sale or offer for sale in interstate or foreign commerce. Section 9(a)(1) also prohibits take within the United States or on the high seas; or to possess, sell, deliver, carry, transport, or ship a species that has been taken in violation of the ESA.

On July 1, 1994, NMFS and USFWS published a policy ( 59 FR 34272 ) that requires us to identify, to the maximum extent practicable at the time a species is listed, those activities that would or would not constitute a violation of section 9 of the ESA. The intent of this policy is to increase public awareness of the effect of a listing on proposed and ongoing activities within a species' range. Based on available information, we believe that the following categories of activities are most likely to result in a violation of the ESA section 9 prohibitions should the proposed rule be adopted. We emphasize that whether a violation results from a particular activity is dependent on the facts and circumstances of each incident. The mere fact that an activity may fall within one of the categories does not mean that the specific activity will cause a violation; due to such factors as location and scope, specific actions may not result in direct or indirect adverse effects on a species. Further, an activity not listed may in fact result in a violation. However, based on currently available information, we believe the following types of activities that could result in a violation of section 9 prohibitions include, but are not limited to, the following: Start Printed Page 60541

(1) Take of any listed species within the U.S. or its territorial sea, or upon the high seas. Take is defined in section 3 of the ESA as “to harass, harm, pursue, hunt, shoot, wound, kill, trap, capture, or collect, or to attempt to engage in any such conduct”;

(2) Possessing, delivering, transporting, or shipping any individual or part of listed species (dead or alive) taken in violation of section 9(a)(1)(B) or 9(a)(1)(C);

(3) Delivering, receiving, carrying, transporting, or shipping in interstate or foreign commerce any individual or part of listed species, in the course of a commercial activity, even if the original taking was legal;

(4) Selling or offering for sale in interstate or foreign commerce any part of listed species, except antique articles at least 100 years old;

(5) Exporting or importing any individual or part of listed species to or from any country;

(6) Releasing captive or cultured specimens of listed species into the wild. Although specimens held non-commercially in captivity at the time of listing are exempt from certain prohibitions, the individual animals are considered listed and afforded most of the protections of the ESA, including most importantly the prohibitions against injuring or killing of endangered species. Release of a captive animal has the potential to injure or kill the animal. Of an even greater conservation concern, the release of a captive animal has the potential to affect wild populations through introduction of diseases or inappropriate genetic mixing. Depending on the circumstances of the case, NMFS may authorize the release of a captive animal through a section 10(a)(1)(A) permit;

(7) Altering the habitat of listed species in such a way that results in injury or death of the species, such as removing or altering substrate or other physical structures, activities resulting in elevated water temperatures that lead to bleaching or other degradation of the physiological functions of listed species, and activities resulting in altered water chemistry and/or water acidification that lead to reduced calcification rates, reproductive impairment, or other degradation of physiological functions of listed species; and

(8) Discharging pollutants or organic nutrient-laden water, including sewage water, into the habitat of listed species to an extent that harms or kills listed species.

This list provides examples of the types of activities that are likely to cause a violation, but it is not exhaustive. Persons or entities concluding that their activity is likely to violate the ESA are encouraged to immediately adjust that activity to avoid violations and to seek authorization under: (a) an ESA section 10(a)(1)(B) incidental take permit; (b) an ESA section 10(a)(1)(A) research and enhancement permit; or (c) an ESA section 7 consultation. The public is encouraged to contact us (see FOR FURTHER INFORMATION CONTACT ) for assistance in determining whether circumstances at a particular location, involving these activities or any others, might constitute a violation of the ESA. Furthermore, the scientific research community is encouraged to submit applications for research to be conducted on H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina so that the research can continue uninterrupted should this proposed rule be adopted.

We have also identified, based on information available at this time, categories of activities that are not considered likely to result in a violation of section 9 should the proposed rule be adopted. As noted above, whether a violation results from a particular activity is entirely dependent on the facts and circumstances of each incident, and it is possible that specific actions taken on this list may in fact result in a violation. However, although not binding, we consider the following actions as not likely to result in violations of ESA section 9:

(1) Take authorized by, and carried out in accordance with the terms and conditions of, an ESA section 10(a)(1)(A) permit issued by NMFS for purposes of scientific research or the enhancement of the propagation or survival of the listed species;

(2) Incidental take of a listed species resulting from Federally authorized, funded, or conducted projects for which consultation under section 7 of the ESA has been completed, and when the otherwise lawful activity is conducted in accordance with any terms and conditions granted by NMFS in an incidental take statement of a biological opinion pursuant to section 7 of the ESA;

(3) Continued possession of listed species that were in captivity at the time of listing, including any progeny produced from captive specimens after the rule is finalized, so long as the prohibitions of ESA section 9(a)(1) are not violated. Specimens are considered to be in captivity if they are maintained in a controlled environment ( e.g., land-based aquaria) or under human care in open-water nurseries ( i.e., protected nearshore enclosures under the active management of humans). Specimens are not considered to be in captivity if they have been outplanted to a natural habitat or restoration site. Individuals or organizations should be able to provide evidence that specimens or parts of listed species were in captivity prior to their listing. Captive specimens may be non-commercially exported or imported; however, the importer or exporter must be able to provide evidence to show that the parts meet the criteria of ESA section 9(b)(1) ( i.e., held in a controlled environment at the time of listing, in a non-commercial activity);

(4) Providing normal care for legally-obtained captive specimens of listed species. Normal care includes handling, cleaning, maintaining water quality within an acceptable range, extracting tissue samples for the purposes of disease diagnosis or genetics, and treating of maladies such as disease or parasites using established methods proven to be effective;

(5) Interstate transportation of legally-obtained captive specimens or parts of listed species, provided it is not in the course of a commercial activity. If captive specimens of listed species are to be moved to a different holding location, records documenting the transfer should be maintained;

(6) Use of captive specimens of listed species for scientific studies under the authorization of an ESA section 10(a)(1)(A) permit issued by NMFS;

(7) Import or export of live specimens or parts of listed species with all accompanying CITES export permits and an ESA section 10(a)(1)(A) permit for purposes of scientific research or the enhancement of the propagation or survival of the species.

We are proposing to list H. hippopus as a threatened species under section 4(a)(1). The ESA does not specify particular prohibitions for threatened species. For species listed as threatened, the second sentence in section 4(d) of the ESA authorizes the Secretary to extend any or all of the prohibitions identified in section 9(a)(1) for endangered species to threatened species. We therefore propose to extend the section 9(a)(1) prohibitions in protective regulations issued under the second sentence of section 4(d) to H. hippopus. No special findings are required to support extending section 9 prohibitions for the protection of threatened species. See In re Polar Bear Endangered Species Act Listing and 4(d) Rule Litigation, 818 F.Supp.2d 214, 228 Start Printed Page 60542 (D.D.C. 2011); Sweet Home Chapter of Cmties. for a Great Oregon v. Babbitt, 1 F.3d 1, 8 (D.C. Cir. 1993), modified on other grounds on reh'g, 17 F.3d 1463 (D.C. Cir. 1994), rev'd on other grounds, 515 U.S. 687 (1995).

We are also proposing to list T. crocea, T. maxima, T. noae, and T. squamosa as threatened species under section 4(e) of the ESA. Because these listings are being proposed on the basis of similarity of appearance rather than the extinction risk of these four species, we are not proposing to extend the section 9(a)(1) prohibitions to these species in a blanket fashion. Rather, we aim to facilitate the protection of H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina by mitigating the challenge that law enforcement personnel face in determining the species of origin for derivative parts and products of giant clams, such as meat and shell carvings, in imports and exports into and from the United States and its territories.

To do so, we are proposing to apply the ESA section 9(a)(1)(A) prohibition of import into and export from the United States and its territories to T. crocea, T. maxima, T. noae, and T. squamosa, but limit the prohibition to derivative parts and products for which the species of origin cannot be visually determined. For the purpose of this regulation, “derivative parts and products” are defined as: (a) any tissue part that has been removed from the shell, including mantle tissue, adductor muscle, portions thereof, or the whole flesh of the animal comprising both the mantle and adductor muscle; (b) any worked shell product, including handicrafts, sculptures, jewelry, tableware, decorative ornaments, and other carvings, but not raw, unworked shells; and (c) pearls or any product derived from a pearl. This prohibition would apply to commercial and non-commercial shipments of any such products of T. crocea, T. maxima, T. noae, and T. squamosa and would make it unlawful for any person subject to the jurisdiction of the United States to import such products into or export such products from the United States or its territories.

No other prohibitions under section 9 of the ESA are proposed to be extended to these four species. A person would continue to be able to possess, deliver, carry, transport, ship, sell, or offer to sell T. crocea, T. maxima, T. noae, and T. squamosa, and their parts and products, domestically and in interstate and foreign commerce. We have information indicating that all four of these species occur within the waters of at least one U.S. Pacific Island territory. T. maxima, in particular, is the target of several mariculture initiatives intended to establish a sustainable source of food and income for communities in American Samoa, Guam, and CNMI. The best available scientific and commercial information indicates that none of the other six species that we are proposing to list as endangered or threatened based on their extinction risk are still extant within U.S. waters. Therefore, it is unlikely that domestic activities and interstate commerce involving T. crocea, T. maxima, T. noae, or T. squamosa would threaten the status or recovery of H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina throughout their current range. For this reason, we are not proposing to prohibit these activities.

We are also not proposing to prohibit the import or export of live or intact specimens or raw, unworked shells of T. crocea, T. maxima, T. noae, T. squamosa into or from the United States and its territories. As mentioned above, there are several initiatives within the United States focused on culturing one or more of T. crocea, T. maxima, T. noae, and T. squamosa for the purpose of providing food and income to local communities. These operations often rely on the international trade of live broodstock or juveniles between mariculture facilities to initiate or supplement a culture stock. We have no information to suggest that live or intact specimens or raw, unworked shells of giant clams are being misrepresented as incorrect species in imports or exports into or from the United States, nor that law enforcement personnel have substantial difficulties visually differentiating the species of origin for such shipments. Thus, there is little risk that imports or exports of live or intact T. crocea, T. maxima, T. noae, and T. squamosa or raw, unworked shells of these species into or from the United States or its territories would threaten the status or recovery of H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina in the wild. We are therefore not proposing to prohibit those activities.

Section 7(a)(4) ( 16 U.S.C. 1536(a)(4) ) of the ESA and NMFS/USFWS regulations ( 50 CFR 402.10 ) require Federal agencies to confer with NMFS on actions likely to jeopardize the continued existence of species proposed for listing, or that are likely to result in the destruction or adverse modification of proposed critical habitat of those species. If a proposed species is ultimately listed, under section 7(a)(2) ( 16 U.S.C. 1536(a)(2) ) of the ESA and the NMFS/USFWS regulations ( 50 CFR part 402 ), Federal agencies must consult on any action they authorize, fund, or carry out if those actions may affect the listed species or its critical habitat to ensure that such actions are not likely to jeopardize the continued existence of the species or result in adverse modification or destruction of critical habitat should it be designated. Examples of Federal actions that may affect giant clams include, but are not limited to: alternative energy projects, discharge of pollution from point sources, non-point source pollution, contaminated waste disposal, dredging, pile-driving, development of water quality standards, and military activities.

Critical habitat is defined in section 3 of the ESA ( 16 U.S.C. 1532(3) ) as: (1) the specific areas within the geographical area occupied by a species, at the time it is listed in accordance with the ESA, on which are found those physical or biological features (a) essential to the conservation of the species and (b) that may require special management considerations or protection; and (2) specific areas outside the geographical area occupied by a species at the time it is listed upon a determination that such areas are essential for the conservation of the species. “Conservation” means the use of all methods and procedures needed to bring the species to the point at which listing under the ESA is no longer necessary. Section 4(a)(3)(A) of the ESA ( 16 U.S.C. 1533(a)(3)(A) ) requires that, to the extent prudent and determinable, critical habitat be designated concurrently with the listing of a species. Designations of critical habitat must be based on the best scientific data available and must take into consideration the economic, national security, and other relevant impacts of specifying any particular area as critical habitat. Critical habitat cannot be designated within foreign countries or in other areas outside the jurisdiction of the United States ( 50 CFR 424.12(g) ). Thus, with respect to H. porcellanus, T. mbalavuana, and T. squamosina, which have highly restricted ranges that are entirely outside the jurisdiction of the United States, we cannot designate any areas as critical habitat within their occupied ranges.

At this time, critical habitat is not yet determinable for H. hippopus, T. derasa, and T. gigas, which are believed to occur in areas under U.S. jurisdiction, because data sufficient to perform Start Printed Page 60543 required analyses are lacking. See 50 CFR 424.12(a)(2) . Therefore, we are not proposing to designate critical habitat for these species at this time. However, we invite public comments on physical and biological features and areas in U.S. waters that may be essential to these species and well as any other information that may inform our consideration of designating critical habitat for these three species (see Public Comments Solicited).

Designation of critical habitat would not be applicable to T. crocea, T. maxima, T. noae, and T. squamosa, because these species are proposed to be listed due to their similarity of appearance to H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina, rather than on the basis of their extinction risk.

In December 2004, the Office of Management and Budget (OMB) issued a Final Information Quality Bulletin for Peer Review establishing minimum peer review standards, a transparent process for public disclosure of peer review planning, and opportunities for public participation. The OMB Bulletin, implemented under the Information Quality Act ( Pub. L. 106-554 ) is intended to enhance the quality and credibility of the Federal Government's scientific information, and applies to influential or highly influential scientific information disseminated on or after June 16, 2005. To satisfy our requirements under the OMB Bulletin, we obtained independent peer review of the draft Status Review Report. Three independent specialists were selected from the academic and scientific community for this review. After substantial revision of the Status Review Report following an initial round of peer review, one of the reviewers agreed to provide a second review of the updated version, and one additional review was received from a fourth expert from the scientific community. All peer reviewer comments were addressed prior to dissemination of the Status Review Report and publication of this document. The peer review report can be found online (see ADDRESSES ).

To ensure that the final action resulting from this proposal will be as accurate and effective as possible, we solicit comments and suggestions from the public, other governmental agencies, the scientific community, industry, environmental groups, territorial governments, cultural practitioners, indigenous communities, and any other interested parties. Comments are encouraged on this proposal (see DATES and ADDRESSES ). Specifically, we are interested in information regarding: (1) new or updated information regarding the range, distribution, and abundance of the six giant clam species proposed for listing based on their extinction risk ( H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina ); (2) new or updated information regarding their genetics and population structure; (3) habitat within their range that was present in the past but may have been lost over time; (4) new or updated biological or other relevant data concerning any threats to these giant clams; (5) current or planned activities within their range and the possible impact of these activities on the relevant species; (6) recent observations or sampling of H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina ; and (7) efforts being made to protect or recover natural populations of these species, and documented results of such efforts.

We request information describing the quality and extent of habitats for the three giant clam species proposed for listing based on their extinction risk and that occur in areas under U.S. jurisdiction ( i.e., H. hippopus, T. derasa, and T. gigas ), as well as information on areas that may qualify as critical habitat for these three species in U.S. waters. Specific areas that include the physical and biological features essential to the conservation of the species, where such features may require special management considerations or protection, should be identified. Areas outside the occupied geographical area should also be identified, if such areas may be essential to the conservation of the species. As noted previously, ESA implementing regulations at 50 CFR 424.12(g) specify that critical habitat shall not be designated within foreign countries or in other areas outside of U.S. jurisdiction. Therefore, we request information only on potential areas of critical habitat within waters under U.S. jurisdiction.

Section 4(b)(2) of the ESA requires the Secretary to consider the economic impact, impact on national security, and any other relevant impact of designating a particular area as critical habitat. Section 4(b)(2) also authorizes the Secretary to exclude from a critical habitat designation those particular areas where the Secretary finds that the benefits of exclusion outweigh the benefits of designation, unless excluding that area will result in extinction of the species. For features and areas potentially qualifying as critical habitat, we also request information describing: (1) Activities or other threats to the essential features or activities that could be affected by designating them as critical habitat; and (2) the positive and negative economic, national security and other relevant impacts, including benefits to the recovery of the species, likely to result if these areas are designated as critical habitat. We seek information regarding the conservation benefits of designating areas within waters under U.S. jurisdiction as critical habitat. In keeping with the guidance provided by OMB (2000; 2003), we seek information that would allow the monetization of these effects to the extent possible, as well as information on qualitative impacts to economic values.

Data reviewed may include, but are not limited to: (1) scientific or commercial publications; (2) administrative reports, maps or other graphic materials; (3) information received from experts; and (4) comments from interested parties. Comments and data particularly are sought concerning: (1) maps and specific information describing the abundance and distribution of H. hippopus, T. derasa, and/or T. gigas, as well as any additional information on occupied and unoccupied habitat areas; (2) the reasons why any habitat should or should not be determined to be critical habitat as provided by sections 3(5)(A) and 4(b)(2) of the ESA; (3) information regarding the benefits of designating particular areas as critical habitat; (4) current or planned activities in the areas that might be proposed for designation and their possible impacts; and (5) any foreseeable economic or other potential impacts resulting from designation, and in particular, any impacts on small entities.

You may submit your comments and supporting information concerning this proposal electronically, by mail (see ADDRESSES ), or during public hearings (see DATES ). The proposed rule and supporting documentation can be found on the Federal eRulemaking Portal at https://www.regulations.gov by entering NOAA-NMFS-2017-0029 in the Search box.

Section 4(b)(5)(E) of the ESA requires us to promptly hold at least one public hearing if any person requests one within 45 days of publication of a proposed rule to implement a species listing determination. Public hearings provide a forum for accepting formal Start Printed Page 60544 verbal comments on this proposed rule. Prior to each public hearing, we will provide an overview of the proposed rule during a public informational meeting. In-person and virtual public hearings on this proposed rule will be held during the public comment period at dates, times, and locations to be announced in a forthcoming Federal Register notice. Requests for additional public hearings must be made in writing (see ADDRESSES ) by September 9, 2024.

A complete list of the references used in this proposed rule is available upon request (see FOR FURTHER INFORMATION CONTACT ).

The 1982 amendments to the ESA, in section 4(b)(1)(A), restrict the information that may be considered when assessing species for listing. Based on this limitation of criteria for a listing decision and the opinion in Pacific Legal Foundation v. Andrus, 675 F. 2d 825 (6th Cir. 1981), we have concluded that ESA listing actions are not subject to the environmental assessment requirements of NEPA (see NOAA Administrative Order 216-6A (2016) and the companion manual, “Policy and Procedures for Compliance with the National Environmental Policy Act and Related Authorities,” which became effective January 13, 2017 (“Companion Manual”), at 2).

Further, we conclude that extension of the ESA section 9(a)(1) protections in a blanket or categorical fashion is a form of ministerial action taken under the authority of the second sentence of ESA section 4(d). Courts have found that it is reasonable to interpret the second sentence of section 4(d) as setting out distinct authority from that of the first sentence, which is invoked when the agency proposes tailored or special protections that go beyond the standard section 9 protections. See In re Polar Bear Endangered Species Act Listing and 4(d) Rule Litigation, 818 F. Supp. 2d 214, 228 (D.D.C. 2011); Sweet Home Chapter of Cmties. for a Great Oregon v. Babbitt, 1 F.3d 1, 8 (D.C. Cir. 1993), modified on other grounds on reh'g, 17 F.3d 1463 (D.C. Cir. 1994), rev'd on other grounds, 515 U.S. 687 (1995). This type of action is covered under the NOAA categorical exclusion G7, which applies to “policy directives, regulations and guidelines of an administrative, financial, legal, technical or procedural nature . . .” See Companion Manual, Appx. E. None of the extraordinary circumstances identified in § 4.A. of the Companion Manual apply.

However, the promulgation of ESA section 4(d) protective regulations in association with the proposed listing of T. crocea, T. maxima, T. noae, and T. squamosa as threatened species is subject to the requirements of NEPA and we have prepared a draft Environmental Assessment (EA) analyzing the proposed 4(d) regulation for these species and alternatives. We are seeking comment on the draft EA, which is available on the Federal eRulemaking Portal ( https://www.regulations.gov/​ ) or upon request (see DATES and ADDRESSES , above).

As noted in the Conference Report on the 1982 amendments to the ESA, economic impacts cannot be considered when assessing the status of a species. Therefore, the economic analyses required by the Regulatory Flexibility Act are not applicable to the listing process nor the ministerial extension of the section 9(a) prohibitions to H. hippopus .

However, the promulgation of ESA section 4(d) protective regulations in association with the proposed listing of T. crocea, T. maxima, T. noae, and T. squamosa as threatened species is subject to the requirements of the Regulatory Flexibility Act. We have prepared an initial regulatory impact analysis (IRFA) in accordance with section 603 of the Regulatory Flexibility Act ( 5 U.S.C. 601 , et seq. ). The IRFA analyzes the impacts to small entities that may be affected by the proposed 4(d) regulations for T. crocea, T. maxima, T. noae, and T. squamosa. To review the IRFA, see the ADDRESSES section above. We welcome comments on this IRFA, which is summarized below.

The IRFA first identified the types and approximate number of small entities that would be subject to regulation under the proposed rule. It then evaluated the potential for the proposed rule to incrementally impact small entities ( i.e., result in impacts to small entities beyond those that would be incurred due to existing regulations but absent the proposed rule). The IRFA was informed by data gathered from the Small Business Administration (SBA), Dun and Bradstreet, Inc., the CITES trade database, and the LEMIS trade database.

The IRFA examined the potential economic impacts on small entities of the proposed prohibition on the import and export of derivative parts and products of T. crocea, T. maxima, T. noae, and T. squamosa into and from the United States. It focused specifically on products that would otherwise be cleared by U.S. Customs and Border Protection officials and whose purpose of import or export is either commercial trade or non-personal exhibition. The prohibition on import or export of products coded as personal property by U.S. Customs and Border Protection officials would not impact a small business or other small entity, and any imports or exports of parts accompanied by both a valid CITES export permit and an ESA section 10(a)(1)(A) permit for purposes of scientific research or the enhancement of the propagation or survival of the species would be exempted from the proposed prohibition.

The IRFA anticipates that the proposed prohibition on the import and export of derivative parts and products of T. crocea, T. maxima, T. noae, and T. squamosa would apply to thousands of small entities, but that only a small subset of these small entities would be impacted and impacts would be minor. Any additional costs associated with enforcement of the rule would be incurred by government agencies that do not qualify as small entities, and it is unlikely that the proposed rule would affect any small governmental jurisdictions.

The small entities most likely to be directly impacted by the proposed rule include those classified under the North American Industry Classification System (NAICS) as Jewelry, Watch, Precious Stone, and Precious Metal Merchant Wholesalers (NAICS industry code 423940) and Museums (NAICS industry code 712110). According to data gathered from the Dun and Bradstreet Hoovers database, there are approximately 25,000 U.S. small entities classified as Jewelry, Watch, Precious Stone, and Precious Metal Merchant Wholesalers and approximately 47,000 museums in the U.S. that qualify as small entities. Under the proposed rule, wholesalers could lose revenue that would otherwise be generated through the importation and sale, or exportation, of the derivative parts and products for commercial purposes. Museums or similar entities that would otherwise import and exhibit derivative parts and products could lose revenue if attendance declines as a result of an artistic item not being exhibited.

LEMIS trade data provided by the USFWS for the years 2016-2020 indicate that there were two imports into and two exports from the 50 states and the District of Columbia over these years of derivative parts or products of giant clams that were cleared by U.S. Customs and Border Protection officials Start Printed Page 60545 and whose purpose of import or export was either commercial trade or non-personal exhibition. As there is no basis for expecting an increase in the rate of U.S. import or export of derivative parts or products of giant clams over the foreseeable future, the IRFA assumes that the number, type, and dollar value of imports and exports of these products over the years 2016-2020 reasonably represents the composition of trade of these products that would occur in the future, absent the proposed rule. Based on a combined value of $19,000 of U.S. imports and exports of derivative parts or products of giant clams from 2016 to 2020 for the purpose of commercial trade, this IRFA estimates that the proposed rule would result in annualized impacts on wholesalers of $3,700 (2023 dollars). Revenue losses to museums cannot be quantified with available data but are expected to be minor, as there was only one import into and one export from the U.S. of a derivative product of giant clams between the years 2016-2020 for the purpose of exhibition in a museum. The item, a carving valued at $44,000 (2023 dollars), was imported into and then exported from the U.S. in 2018. While it is possible that the proposed rule could result in a small entity wholesaler or museum with low annual revenue bearing impacts that constitute a large percentage of their annual revenue, this outcome is highly uncertain. Based on the low volume of annual U.S. imports and exports of derivative parts or products of giant clams, it is more likely that impacts on small entities would be minor and limited to a very small number of small entities.

The RFA requires consideration of any significant alternatives to the proposed rule that would accomplish the stated objectives of the applicable statutes and would minimize significant economic impacts to small entities. We considered the following alternatives when developing this proposed rule.

Alternative 1. No-action Alternative. Under the No-action Alternative, NMFS would not apply any protective regulations in association with the proposed listing of T. crocea, T. maxima, T. noae, and T. squamosa as threatened species under section 4(e) of the ESA, and there would be no change from current management policies of these four species. Alternative 1 represents the regulatory status quo with respect to T. crocea, T. maxima, T. noae, and T. squamosa, but assumes that H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina would be listed as endangered and H. hippopus would be listed as threatened under the ESA due to their extinction risk.

Without a prohibition on the import into and export from the U.S. of derivative parts and products derived from T. crocea, T. maxima, T. noae, and T. squamosa, derivative parts and products derived from any of the six species proposed to be listed due to their extinction risk could be misidentified by law enforcement officials as deriving from these four species. Thus, Alternative 1 would undermine the listing of T. crocea, T. maxima, T. noae, and T. squamosa based on the similarity of appearance of their derivative products to those of the six species proposed to be listed due to their extinction risk, as their listing would provide no incremental benefit to the survival and recovery of six species proposed to be listed as endangered or threatened. No incremental impacts would be borne by small (or large) entities, but H. hippopus, H. porcellanus, T. derasa, T. gigas, T. mbalavuana, and T. squamosina would continue to be at risk of further declines in abundance and increased risk of extinction due to international trade of their derivative parts and products. Thus, Alternative 1 is not a reasonable alternative.

Alternative 2. Proposed Alternative. Under the Proposed Alternative, the import into and export from the U.S. of derivative parts and products from T. crocea, T. maxima, T. noae, and T. squamosa would be prohibited. This alternative would allow for import into and export from the U.S. of live and intact specimens and raw, unworked shells of these species, as well as the delivery, receipt, carry, transport, or shipment, and sale or offer for sale of these species and their derivative parts and products in interstate commerce. Impacts on small entities would be limited to revenue losses borne by small entity wholesalers or museums or other non-personal exhibitors of giant clam products that, absent the Proposed Alternative, would engage in the import and/or export of parts and products derived from these four species. Small entities that, absent the Proposed Alternative, would engage in the export of parts and products derived from maricultured T. crocea, T. maxima, T. noae, and T. squamosa specimens would be impacted to the extent that they would otherwise generate revenue from such exports. However, no information is available suggesting this type of international trade would occur over the foreseeable future in the absence of the Proposed Action. Alternative 2 was selected as the Proposed Alternative because it would contribute to the survival and recovery of six species of giant clams proposed to be listed as endangered or threatened due to their extinction risk without constraining international trade of live or intact specimens or shells of T. crocea, T. maxima, T. noae, and T. squamosa, or domestic activities involving these four species.

Alternative 3. Application of All ESA section 9(a)(1) Prohibitions (Full Action Alternative). Alternative 3 would apply all section 9(a)(1) prohibitions of the ESA to T. crocea, T. maxima, T. noae, and T. squamosa. Prohibitions under this alternative would include, but not be limited to, the import, export, possession, sale, delivery, carrying, transport, or shipping of these species—including live or intact specimens and shells—in interstate or foreign commerce or for commercial activity. Imports and exports of live specimens would be permitted under the Proposed Alternative but prohibited under Alternative 3, which, relative to the Proposed Action and No-action Alternative, would incrementally impact small entities to the extent that they would otherwise generate revenue from sale of these four species of giant clams or their derivative products. The total value of U.S. imports of live specimens of T. crocea, T. maxima, T. noae, and T. squamosa from 2016 to 2020 was approximately $3.12 million (2023 dollars), while exports had a total value of approximately $113,000. Small businesses in the Pet and Supplies Retailers and Other Miscellaneous Nondurable Goods Merchant Wholesalers industries (NAICS codes 424990 and 459910) would bear the vast majority of these impacts, which would likely be concentrated among a small number of companies. Incremental impacts of Alternative 3 on small entities could also be substantially greater than those that would occur under the Proposed Alternative in part because the prohibitions on take and interstate commerce would significantly constrain the development of giant clam mariculture projects in the U.S., notably those in the U.S. Pacific Island territories. Alternative 3 would impact small entities to the extent that they would otherwise generate revenue from these mariculture projects. Alternative 3 would likely result in substantially greater impacts on small entities than the Proposed Alternative, without incrementally contributing to the survival or recovery of H. hippopus, H. porcellanus, T. derasa, T. gigas T. mbalavuana, or T. squamosina . Start Printed Page 60546

This rulemaking is exempt from review under Executive Order 12866 . This proposed rule does not contain a collection-of-information requirement for the purposes of the Paperwork Reduction Act.

In accordance with E.O. 13132 , we determined that this proposed rule does not have significant federalism effects and that a federalism assessment is not required. In keeping with the intent of the Administration and Congress to provide continuing and meaningful dialogue on issues of mutual State and Federal interest, this proposed rule will be given to the relevant governmental agencies in the countries in which the species occurs, and they will be invited to comment. As we proceed, we intend to continue engaging in informal and formal contacts with the States, and other affected local, regional, or foreign entities, giving careful consideration to all written and oral comments received.

  • Endangered and threatened species

Dated: July 2, 2024.

Samuel D. Rauch, III,

Deputy Assistant Administrator for Regulatory Programs, National Marine Fisheries Service.

For the reasons set out in the preamble, NMFS proposes to amend 50 CFR parts 223 and 224 as follows:

1. The authority citation for part 223 continues to read as follows:

Authority: 16 U.S.C. 1531 1543 ; subpart B, § 223.201-202 also issued under 16 U.S.C. 1361 et seq. ; 16 U.S.C. 5503(d) for § 223.206(d)(9).

2. In § 223.102, amend the table in paragraph (e) by adding new entries for “Clam, horse's hoof”, “Giant clam, boring”, “Giant clam, fluted”, “Giant clam, Noah's”, and “Giant clam, small” in alphabetical order under “Molluscs” to read as follows:

Species  Citation(s) for listing determination(s)Critical habitatESA rules
Common nameScientific nameDescription of listed entity
*         *         *         *         *         *         *
*         *         *         *         *         *         *
Clam, horse's hoof Entire species Federal Register NANA
Giant clam, boring Entire species Federal Register NANA
Giant clam, fluted Entire species Federal Register NANA
Giant clam, Noah's Entire species Federal Register NANA
Giant clam, small Entire species Federal Register NANA
*         *         *         *         *         *         *
 Species includes taxonomic species, subspecies, distinct population segments (DPSs) (for a policy statement, see , February 7, 1996), and evolutionarily significant units (ESUs) (for a policy statement, see , November 20, 1991).

3. Add § 223.217 to subpart B to read as follows:

Prohibitions. The prohibitions of section 9(a)(1)(A) through 9(a)(1)(G) of the ESA ( 16 U.S.C. 1538 ) relating to endangered species shall apply to the horse's hoof clam ( Hippopus hippopus ) listed in § 223.102.

4. Add § 223.218 to subpart B 223 to read as follows:

(a) Prohibitions. It is unlawful for any person subject to the jurisdiction of the United States to import into or export from the United States or its territories any derivative parts or products of the boring giant clam ( Tridacna crocea ), fluted giant clam ( Tridacna squamosa ), Noah's giant clam ( Tridacna noae ), and small giant clam ( Tridacna maxima ) listed in § 223.102. The term “derivative parts or products” is defined in this part as:

(1) Any tissue part that has been removed from the shell, including mantle tissue, adductor muscle, portions thereof, or the whole flesh of the animal comprising both the mantle and adductor muscle;

(2) Any worked shell product, including handicrafts, sculptures, jewelry, tableware, decorative ornaments, and other carvings, but not raw, uncarved shells; or

(3) Pearls or any product derived from a pearl.

(b) [Reserved]

5. The authority citation for part 224 continues to read as follows:

Authority: 16 U.S.C. 1531-1543 and 16 U.S.C. 1361 et seq.

6. In § 224.101, amend the table in paragraph (h) by adding new entries for “Clam, China”, “Clam, devil”, “Giant clam, Red Sea”, “Giant clam, smooth”, and “Giant clam, true” in alphabetical order under Molluscs” to read as follows:

Species  Citation(s) for listing determination(s)Critical habitatESA rules
Common nameScientific nameDescription of listed entity
*         *         *         *         *         *         *
*         *         *         *         *         *         *
Clam, China Entire species Federal Register NANA
Clam, devil Entire species Federal Register NANA
Giant clam, Red Sea Entire species Federal Register NANA
Giant clam, smooth Entire species Federal Register NANA
Giant clam, true Entire species Federal Register NANA
*         *         *         *         *         *         *
 Species includes taxonomic species, subspecies, distinct population segments (DPSs) (for a policy statement, see , February 7, 1996), and evolutionarily significant units (ESUs) (for a policy statement, see , November 20, 1991).

[ FR Doc. 2024-14970 Filed 7-24-24; 8:45 am]

BILLING CODE 3510-22-P

  • Executive Orders

Reader Aids

Information.

  • About This Site
  • Accessibility
  • No Fear Act
  • Continuity Information

IMAGES

  1. Theory construction cycle from strong hypothesis to weak hypothesis [3

    strong and weak hypothesis

  2. Strong, Semi-Strong, and Weak Efficient Market Hypothesis

    strong and weak hypothesis

  3. FEA 03 Strong & Weak form

    strong and weak hypothesis

  4. 13 Different Types of Hypothesis (2024)

    strong and weak hypothesis

  5. Three Form of Efficient Market Hypothesis

    strong and weak hypothesis

  6. Continuum of Strong to Weak Hypotheses a

    strong and weak hypothesis

VIDEO

  1. Efficient market hypothesis: Weak, semi strong and strong market

  2. Research hypothesis

  3. Strength and Weakness Analysis,Examples of strengths and Weakness

  4. EFFICIENT MARKET HYPOTHESIS (RUN TEST) CA FINAL SFM (Part 2)

  5. Is it a fact, or a strong hypothesis? #prodmgmt #product #productmanagement #podcastclips

  6. How are the strength of strong and weak forces determined?|@skwonderkids5047

COMMENTS

  1. The Weak, Strong, and Semi-Strong Efficient Market Hypotheses

    The efficient market hypothesis (EMH) theorizes that the market is generally efficient, but offers three forms of market efficiency: weak, semi-strong, and strong.

  2. Strong Induction

    Strong induction is a variant of induction, in which we assume that the statement holds for all values preceding k k. This provides us with more information to use when trying to prove the statement.

  3. Forms of Market Efficiency

    Eugene Fama developed a framework of market efficiency that laid out three forms of efficiency: weak, semi-strong, and strong.

  4. Efficient Market Hypothesis: Strong, Semi-Strong, and Weak

    Weak Efficient Market Hypothesis. The weak form of EMH says that you cannot predict future stock prices on the basis of past stock prices. Weak-form EMH is a shot aimed directly at technical analysis. If past stock prices don't help to predict future prices, there's no point in looking at them — no point in trying to discern patterns in ...

  5. The 20% Statistician: Strong versus Weak Hypothesis Tests

    Strong versus Weak Hypothesis Tests. The goal of a hypothesis test is to carefully examine whether predictions that are derived from a scientific theory hold up under scrutiny. Not all predictions we can test are equally exciting. For example, if a researcher asks two groups to report their mood on a scale from 1 to 7, and then predicts the ...

  6. Efficient Market Hypothesis (EMH)

    The efficient market hypothesis (EMH) theorizes about the relationship between the: Under the efficient market hypothesis, following the release of new information/data to the public markets, the prices will adjust instantaneously to reflect the market-determined, "accurate" price. EMH claims that all available information is already ...

  7. Efficient Markets Hypothesis—EMH Definition and Forms

    What is the Efficient Markets Hypothesis (EMH), and how can it help you become a better investor? Learn how you can benefit from the lessons of EMH.

  8. Efficient Market Hypothesis (EMH)

    The Efficient Market Hypothesis is a crucial financial theory positing that all available information is reflected in market prices, making it impossible to consistently outperform the market. It manifests in three forms, each with distinct implications. The weak form asserts that all historical market information is accounted for in current ...

  9. Whorfianism

    She was also an early popularizer of the distinction between 'strong' and 'weak' formulations of the Sapir-Whorf Hypothesis (and an opponent of the 'strong' version).

  10. What exactly is the difference between weak and strong induction?

    There have been a lot of questions already answered about strong vs. weak induction, but it's a subtle topic so even subtle differences in questions matter. Some possibly (but different!) questions are Equivalence of strong and weak induction and When to use weak, strong, or structural induction?

  11. Weak Forms and Strong Forms

    The Sapir-Whorf hypothesis 1 states that language affects thought — how we speak influences how we think. Or, at least, that's one form of the hypothesis, the weak form. The strong form of Sapir-Whorf says that language determines thought, that how we speak forms a hard boundary on how and what we think. The weak form of Sapir-Whorf says that we drive an ATV across the terrain of thought ...

  12. PDF Induction

    The di erence between weak induction and strong indcution only appears in induction hypothesis. In weak induction, we only assume that particular statement holds at k-th step, while in strong induction, we assume that the particular statment holds at all the steps from the base case to k-th step.

  13. What Is Weak Form Efficiency and How Is It Used?

    Weak form efficiency is one of the three different degrees of efficient market hypothesis (EMH) ; it claims that past price movements and volume data do not affect stock prices. As weak form ...

  14. :Strong Form Efficiency: Economic Theory Explained

    Strong form efficiency is the strongest version of market efficiency and states that all information in a market, whether public or private, is accounted for in a stock's price. Practitioners of ...

  15. Strong and weak sampling

    Strong and weak sampling are two sampling approach [1] in Statistics, and are popular in computational cognitive science and language learning. [2] In strong sampling, it is assumed that the data are intentionally generated as positive examples of a concept, [3] while in weak sampling, it is assumed that the data are generated without any ...

  16. PDF CMSC 250: Weak and Strong Mathematical Induction

    Before discussing strong mathematical induction formally we will state that the three cases we did rst are the three base cases and that the thing we notice is the inductive step.

  17. Inductive Proofs: Four Examples

    Weak induction is represented well by the domino analogy, where each is knocked over by the one before it; strong induction is represented well by the stair analogy, where each step is supported by all the steps below it.

  18. Strong Form vs. Weak Form Efficient Market Hypothesis (EMH)

    The EMH has three flavors: Weak. Semi-Strong. Strong. Weak EMH says past prices can't predict future movements, so technical analysis is futile. Semi-Strong EMH extends this, claiming all public information is already baked into prices - i.e., fundamental analysis would therefore be inconsequential. Strong EMH takes the most extreme stance ...

  19. What Makes a Strong Hypothesis for Scientific Research?

    A strong hypothesis is concise, clear, and defines an expected relationship between the dependent and independent variables. This relationship should be stated as explicitly as possible and must be testable. Having a concise hypothesis makes it obvious to the reader when you transition from background information to a research question without ...

  20. How to understand the difference between "Strong" & "Weak" Hypotheses

    Strong hypotheses are simply strong claims, perhaps too strong, as they include a lot of details and particular assumptions, making the hypotheses as wholes difficult, if not impossible, to test and defend.

  21. PDF Economics 1123

    Overview and Summary. Topic: IV regression with a single included endogenous regressor, control variables, and non-homoskedastic errors. We assume that consistent robust SEs exist for the reduced form & first stage regressions. This mini-course focuses on weak instruments in the non-homoskedastic case (i.e., the relevant case).

  22. Preference Hypothesis and Strong Ordering (Explained With Diagram)

    Preference Hypothesis and Strong Ordering (Explained With Diagram) Article shared by: Samuelson's revealed preference theory has preference hypothesis as a basis of his theory of demand. According to this hypothesis, when a consumer is observed to choose a combination A out of various alternative combinations open to him, then he 'reveals ...

  23. [2407.13647] Weak-to-Strong Reasoning

    When large language models (LLMs) exceed human-level capabilities, it becomes increasingly challenging to provide full-scale and accurate supervisions for these models. Weak-to-strong learning, which leverages a less capable model to unlock the latent abilities of a stronger model, proves valuable in this context. Yet, the efficacy of this approach for complex reasoning tasks is still untested ...

  24. Federal Register :: Endangered and Threatened Wildlife and Plants

    The VP approach reflects concepts that are well-founded in conservation biology and considers demographic factors that individually and collectively provide strong indicators of extinction risk. It is designed to both capture the biological symptoms of past threats that have contributed to the species' current status and provide insight into ...