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Simpson’s Diversity Index Calculator

🌍 Ecology. Use the Simpson’s diversity index (3 species) formula to find diversity d, species a count, species b count, species c count: pick the value you want, type the others, and the answer updates as you go.

D=1−∑n(n−1)N(N−1)D = 1 - \dfrac{\sum n(n-1)}{N(N-1)}

From 0 (one species dominates) towards 1 (many species, evenly spread).

Diversity D0.65714

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Diversity Dno unit
Species A countno unit
Species B countno unit
Species C countno unit

Worked example

Find the diversity d when Species A count = 10, Species B count = 7, Species C count = 4.

Using D = 1 - (Σ n(n-1))/(N(N-1)): Diversity D = 0.65714.

Frequently asked questions

What is the formula for Simpson’s diversity index (3 species)?

D = 1 - (Σ n(n-1))/(N(N-1)). From 0 (one species dominates) towards 1 (many species, evenly spread).

What do the letters stand for, and what units are used?

Diversity D, Species A count, Species B count, Species C count.

How do you calculate diversity d?

Put the values into D = 1 - (Σ n(n-1))/(N(N-1)). For example, with Species A count = 10, Species B count = 7, Species C count = 4, diversity d = 0.65714.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (diversity d, species a count, species b count, species c count) and fill in the others: it rearranges the formula for you.

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