Ecology capture-recapture worksheet calculator

Calculate chapman population estimate and chapman variance estimate with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use chapman population estimate and chapman variance estimate to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Marked and released in first sample
50
Caught in second sample
40
Marked recaptures in second sample
10
Chapman population estimate
189.090909
Chapman variance estimate
1,728.099174

Try another scenario

Marked and released in first sample
51
Caught in second sample
40
Marked recaptures in second sample
10
Chapman population estimate
192.818182
Chapman variance estimate
1,806.033058
Calculation method

Calculation method

Chapman population estimate

((marked+1)(caught+1)/(recaptured+1))−1, closed-population equal-catchability assumptions.

Chapman variance estimate

(M+1)(C+1)(M−R)(C−R)/((R+1)²(R+2)).

Symbols and units
a
Marked and released in first sample
b
Caught in second sample
c
Marked recaptures in second sample

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Marked-release-recapture counts, selected model. Returns Population estimate with assumptions. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Marked and released in first sample: minimum 1, maximum 1000000. Caught in second sample: minimum 1, maximum 1000000. Marked recaptures in second sample: minimum 1, maximum 1000000.
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