Ecology & populations · SL/HL

Simpson reciprocal index

Calculate diversity from species counts.

Your values

Number formats & units

Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.

Simpson Reciprocal Diversity Index Calculator inputs

Calculated locally. No account or input upload.

Result & working

Example

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Formula & example

The relationship

D=N(N−1)∑ini(ni−1)D=\frac{N(N-1)}{\sum_i n_i(n_i-1)}
What the variables mean
SymbolMeaning
NNTotal number of individuals.
nnNumber of individuals in each species.

Worked example

Species counts
12 8 5 5 2

Simpson reciprocal index = 4.313043

Follow the example steps
  1. N = Σn = 32
  2. Σn(n−1) = 12×11 + 8×7 + 5×4 + 5×4 + 2×1 = 230
  3. D = N(N−1)/Σn(n−1) = 32×31/230 = 4.313043

Common mistakes

A larger reciprocal index indicates greater diversity under this convention.

Incorrect approach

For 5, 5 versus 9, 1: the lower index means greater diversity.

Correct approach

Counts 5, 5 give D = 2.25; counts 9, 1 give D = 1.25.

More checks before you submit
  • Do not enter species labels in the numerical list.
  • A larger reciprocal-index value indicates greater diversity under this convention.
Method notes

The index combines richness and evenness. Compare values only when sampling effort and method are comparable.