IB ESS HL Topic 4 — Aquatic Food Production Paper 1 & 2 HL only ~10 min read

Measuring a Fish Stock

You cannot count fish in the sea. Every quota in the world therefore rests on an estimate built from samples, sonar and paperwork — and on how much scientists trust that estimate. Understanding the uncertainty is more important than memorising the methods.

📘 What you need to know

Why assessment matters

Without a reliable estimate there is a risk of overestimating the stock, which leads directly to quotas that are too high. That is precisely what happened on the Grand Banks: quotas were set above what the science supported, and enforcement did not catch the shortfall.

Monitoring does two jobs: it checks that fisheries follow regulations, and it makes sure harvest rates do not threaten the long-term survival of the population.

How stocks are assessed

MethodHow it worksWhat it is good for
Trawl surveysNets are dragged through the water to sample what is presentData on species, size and abundance for stock estimates
Acoustic surveysSonar detects shoals by bouncing sound waves off themQuick assessment over large areas; ideal for pelagic fish such as herring and mackerel
Landing recordsOfficial port records of how much fish is brought ashoreComparing actual catch with estimated sustainable levels
Portside samplingSize, age and species data collected from landed catchInsight into the health and reproductive potential of a stock
On-board observersTrained observers travel on vessels and record what is caughtIndependent verification; reduces underreporting and bycatch misreporting
Research surveysIndependent scientific expeditions using trawl or acoustic methodsUnbiased data on population trends, free of commercial incentive
Tag and recaptureFish are tagged, released and later recaptured to estimate numbersPopulation size and movement; used for migratory species such as bluefin tuna
Why independence matters. Landing records come from the industry being regulated, which creates an incentive to underreport. Research surveys and on-board observers exist precisely to cross-check that data.

Tag and recapture, step by step

Estimating numbers by tag and recapture The proportion tagged in the second catch reflects the whole population 1 CATCH AND TAG Take a sample and tag it M = 800 tagged 2 RELEASE AND MIX Let them mix back in wait, then sample again 3 CATCH AGAIN C = 1000 caught R = 40 carry tags N = (M × C) ÷ R = (800 × 1000) ÷ 40 = 20 000 The method assumes tagged fish mix evenly and survive normally Break either assumption and the estimate is wrong
Every assumption here is a place the estimate can fail: tags fall off, tagged fish behave differently, and populations move. This is where uncertainty in stock assessment comes from.

Why fishing at MSY is risky

MSY is the largest catch that can be taken each year without reducing the population in the long term. The problem is not the concept — it is that nobody knows the true value.

Why quotas are set below the best estimate Annual catch, tonnes range of scientific uncertainty 0 20 000 50 000 60 000 best estimate of MSY: 40 000 precautionary quota: 32 000 If the true MSY sits at the bottom of the band, 40 000 is overfishing The green margin is the cost of being wrong in the safe direction
This is the precautionary principle in one picture. Setting the quota at the bottom of the uncertainty range costs some catch every year and avoids a collapse that would cost all of it.

What happens if you exceed it

Overfishing occurs when the harvest rate exceeds the population’s ability to reproduce. The danger is the positive feedback: fewer fish means fewer mature adults, which means lower reproductive potential, which means the population falls faster still.

Notice how this page and the mitigation page fit together. Assessment tells you what MSY probably is; the precautionary principle tells you to fish below it; quotas and inspection are how that gets enforced.

Worked examples

WORKED EXAMPLE 1

Estimating a population by tag and recapture

800 fish are tagged and released. Later, 1000 fish are caught and 40 of them carry tags. Estimate the population size.

Step 1: write the relationship Proportion tagged in sample = proportion tagged in population N = (M × C) ÷ R Step 2: substitute N = (800 × 1000) ÷ 40 Step 3: calculate N = 800 000 ÷ 40 = 20 000 About 20 000 fish M is the number marked, C the second catch, R the marked fish recaptured — label them before substituting and you will not mix them up
WORKED EXAMPLE 2

What if some tags fall off?

In the survey above, suppose 8 of the tagged fish lost their tags before recapture, so only 32 were recorded. Recalculate the estimate and comment on the error.

Step 1: recalculate with R = 32 N = (800 × 1000) ÷ 32 = 25 000 Step 2: compare with the true value of 20 000 25 000 − 20 000 = 5000 too high, a 25% overestimate Lost tags make the stock look bigger than it is and an overestimated stock means an over-generous quota — exactly the error that damages fisheries
WORKED EXAMPLE 3

Explain why fisheries should not fish at the estimated MSY [4]

Write a full answer.

Link 1 MSY comes from models based on assumptions about growth, mortality and conditions Link 2 Ecosystems are complex, so the value is uncertain and may be too high Link 3 Fishing at an overestimated MSY means the catch exceeds reproduction without anyone noticing Link 4 A falling stock has fewer breeding adults, creating positive feedback towards collapse So quotas are set below the estimate as a safety margin name the precautionary principle if you have space — it is the underlying idea

💡 Exam tip

⚠ Common mix-up

Up next: Bringing Depleted Stocks Back — who has to agree, who loses money in the meantime, and why recovery takes decades rather than seasons.

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