Ecology & populations · SL/HL
Simpson reciprocal index
Calculate diversity from species counts.
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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.
Calculated locally. No account or input upload.
Result & working
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Interpretation & assumptions
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Formula & example
The relationship
What the variables mean
| Symbol | Meaning |
|---|---|
| Total number of individuals. | |
| Number of individuals in each species. |
Worked example
- Species counts
- 12 8 5 5 2
Simpson reciprocal index = 4.313043
Follow the example steps
- N = Σn = 32
- Σn(n−1) = 12×11 + 8×7 + 5×4 + 5×4 + 2×1 = 230
- 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.