Simpson's Diversity Index Calculator

Simpson's Diversity Index Calculator

Measure biodiversity and species dominance in ecological communities. Calculate Simpson's D, 1-D, reciprocal index, Shannon diversity, and evenness.

Last updated: March 2026

Species Data

What is Simpson's Diversity Index?

Simpson's Diversity Index is a measure of biodiversity that quantifies the diversity of species in a community or ecosystem. Originally developed by Edward Hugh Simpson in 1949, it takes into account both the number of species present (richness) and the relative abundance of each species (evenness).

The index exists in several forms. Simpson's D measures dominance (the probability that two randomly selected individuals belong to the same species). Simpson's Index of Diversity (1-D) inverts this to measure diversity directly. The reciprocal form (1/D) represents the "effective number of species" — the number of equally common species needed to produce the observed diversity.

Values range from 0 to 1 for 1-D (higher = more diverse), while the reciprocal ranges from 1 to the number of species. A community dominated by one species has low diversity (1-D close to 0), while a community with many equally abundant species has high diversity (1-D close to 1).

How to Use the Calculator

Step-by-Step Instructions

1
Enter Species Names: Type the name or identifier for each species in your sample.
2
Enter Counts: Input the number of individuals observed for each species.
3
Add/Remove Species: Use the "+ Add Species" button to include more species, or the × button to remove entries.
4
Calculate: Click "Calculate Diversity" to compute all indices.
5
Interpret: Review the diversity metrics and species distribution chart.

Key Formulas

Simpson's D: D = Σ[n(n-1)] / [N(N-1)]
Simpson's Index: 1-D
Reciprocal: 1/D
Shannon H': -Σ[p × ln(p)]
Evenness E: H' / ln(S)
where n = individuals per species, N = total individuals, p = proportion, S = species richness

Worked Example

Forest Tree Survey Example

Given Data:
Oak: 40 trees
Maple: 25 trees
Pine: 15 trees
Birch: 10 trees
Willow: 10 trees
Total N = 100 trees
Calculate D:
Σ[n(n-1)]:
40×39 + 25×24 + 15×14 + 10×9 + 10×9
= 1560 + 600 + 210 + 90 + 90 = 2550
N(N-1) = 100 × 99 = 9900
D = 2550 / 9900 = 0.2576
Final Results:
1-D = 1 - 0.2576 = 0.7424
1/D = 1 / 0.2576 = 3.88

This forest has moderately high diversity (0.74) with an effective species count of ~3.88. The community is not dominated by a single species.

Frequently Asked Questions

What's the difference between D, 1-D, and 1/D?

D measures dominance (probability two individuals are the same species). 1-D is the diversity index (0-1 scale, higher = more diverse). 1/D is the reciprocal index representing effective number of equally common species.

Which index should I use?

Use 1-D for a simple 0-1 diversity score that's intuitive. Use 1/D when you want results in units of 'effective species'. Use D when specifically interested in dominance. All are valid and commonly used.

How does this differ from Shannon diversity?

Simpson's index is less sensitive to rare species and emphasizes dominant species. Shannon's index weights all species more equally. Simpson's is simpler to interpret; Shannon's is more sensitive to richness changes.

What is species evenness?

Evenness (Pielou's E) measures how equal species abundances are. E = 1 means all species have identical counts. E near 0 means one species dominates. It separates the effects of richness from abundance distribution.

Can I compare diversity between different sites?

Yes! Simpson's index is standardized (0-1 or effective species count), making it ideal for comparing different communities, habitats, or time periods. Just ensure sampling methods are consistent.

What is a 'good' diversity value?

There's no universal 'good' value — it depends on the ecosystem. Tropical rainforests typically have 1-D > 0.9, while agricultural monocultures approach 0. Compare to similar ecosystems or track changes over time.

How many species/individuals do I need?

Minimum 2 species are required. For reliable results, aim for at least 50-100 total individuals across multiple species. Larger samples give more accurate estimates of true diversity.

Does sample size affect the index?

Simpson's D uses n(n-1)/N(N-1) which corrects for finite sample size, making it relatively unbiased. However, larger samples still provide more accurate estimates of the true population diversity.

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