Estimating Population Size by Mark, Release and Recapture · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Counting animals that run away

Science · Scientific Inquiry · ages 15-16
Name ______________________   Date ____________
  1. 20 fish were marked. A second catch of 30 holds 6 marked. What is the estimated population?

    Answer: ______________

  2. When do ecologists choose mark and recapture over a quadrat?

    • For still or slow life like grass
    • For mobile animals like fish or beetles
    • Only for trees
  3. What does the mixing promise say?

    • All animals stay in one corner
    • Marked and unmarked mix fully, so the fraction matches everywhere
    • Only marked animals may be recaught
  4. Which of these breaks the method's promises?

    • Many births between the two visits
    • Using tiny harmless dye marks
    • Keeping the gap between visits short
  5. 15 beetles were marked. A second catch of 40 holds 10 marked. What is the estimated population?

    Answer: ______________

  6. Marks make animals easier for predators to spot. What happens to the estimate?

    • It inflates, since fewer marked return
    • It shrinks to zero
    • It stays exactly right
  7. Lou computes 100 and announces exactly 100 fish live there. What is wrong?

    • Fish cannot be counted
    • The arithmetic uses the wrong operation
    • The result is an estimate, good only as far as its promises hold
  8. A team recatches only at the exact release spot, with no time to mix. What happens to the estimate?

    • It stays perfect
    • It drops too low, since the marked share looks bigger than it is
    • It doubles exactly
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Counting animals that run away W1-mt_SrISE2trf9-s1

  1. 100 · 20 times 30 over 6 is 100.
  2. For mobile animals like fish or beetles · Quadrats cannot fence animals that run away, so traps take over.
  3. Marked and unmarked mix fully, so the fraction matches everywhere · Full mixing lets the recatch fraction speak for the whole population.
  4. Many births between the two visits · New births change the population the fraction was measured against.
  5. 60 · 15 times 40 over 10 is 60.
  6. It inflates, since fewer marked return · A smaller bottom of the fraction pushes the total up.
  7. The result is an estimate, good only as far as its promises hold · Report about 100, since every promise bends the total a little.
  8. It drops too low, since the marked share looks bigger than it is · Unmixed recatches overcount marked animals, which shrinks the scaled total.
Worksheet · LightMySky