Ecology species richness rarefaction calculator

Calculate sample size and expected species richness with your own figures.

Your numbers

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

Use sample size and expected species richness to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Species abundance counts
10,5,3,2
Rarefaction individual sample sizes
1,5,10,20
Sample size and expected species richness
[[1,1],[5,2.8382997936],[10,3.64163545433],[20,4]]

Try another scenario

Species abundance counts
[10, 5, 3, 2]
Rarefaction individual sample sizes
[2, 6, 12, 18]
Sample size and expected species richness
[[2,1.68947368421],[6,3.06720846233],[12,3.79989680083],[18,3.99473684211]]
Calculation method

Calculation method

Sample size and expected species richness

Sum_i[1−C(N−ni,m)/C(N,m)]; sampling without replacement.

Symbols and units
a
Species abundance counts
b
Rarefaction individual sample sizes

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

  • Species counts, subsample sizes. Returns Expected richness curve. 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. Species abundance counts: minimum 0, maximum 1000000. Rarefaction individual sample sizes: minimum 0, maximum 1000000.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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