Biodiversity Index Calculator: Shannon, Simpson & Species Richness

simulator intermediate ~10 min
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H' = 1.82, D = 0.82 — moderately diverse community with 10 species

A community of 10 species with evenness 0.7 yields Shannon index H' = 1.82 and Simpson diversity D = 0.82, indicating moderate diversity — typical of temperate grasslands or managed forests.

Formula

H' = -Σᵢ pᵢ ln(pᵢ) (Shannon diversity index)
D = 1 - Σᵢ pᵢ² (Simpson diversity index)
Chao1: S_est = S_obs + f₁² / (2 f₂)

Measuring Life's Variety

Biodiversity — the variety of life within an ecosystem — is a key indicator of environmental health. But how do you reduce the complexity of an entire community to a single number? Ecologists have developed diversity indices that combine two components: species richness (how many species are present) and evenness (how equally individuals are distributed among them). This simulator generates species abundance distributions and computes the most widely used indices in real time.

Shannon and Simpson Indices

The Shannon index H', borrowed from information theory, treats each species as a 'symbol' and measures the information content of the community. Higher values mean greater uncertainty about which species a randomly chosen individual belongs to — more diversity. The Simpson index D measures the probability that two random individuals are different species. While Shannon is sensitive to rare species, Simpson emphasizes dominant species, making the two complementary. Used together, they provide a robust diversity assessment.

Evenness and Dominance

A community of 100 species where one species accounts for 99% of individuals is less functionally diverse than a community of 10 equally abundant species. Pielou's evenness index J' quantifies this distribution, ranging from 0 (complete dominance) to 1 (perfect equality). Disturbed ecosystems — polluted rivers, overgrazed grasslands, clear-cut forests — typically show low evenness as stress-tolerant species dominate. Recovery is often marked by rising evenness before new species arrive.

Estimating Hidden Diversity

Field surveys inevitably miss rare species. The Chao1 estimator uses the frequency of singletons and doubletons to predict how many species went undetected. If a sample contains many singletons (species seen exactly once), many more species likely remain undiscovered. Modern eDNA metabarcoding can detect species from trace DNA in water or soil, revealing hidden diversity — especially among microbes, where a single gram of soil may harbor 10,000 species.

FAQ

What is the Shannon diversity index?

The Shannon index H' = -Σ pᵢ ln(pᵢ) measures species diversity by combining richness (number of species) and evenness (how equally individuals are distributed). Higher values indicate greater diversity. Typical values range from 1.5 (low diversity) to 4.5 (tropical rainforest). It was adapted from information theory by ecologist Robert MacArthur.

What is Simpson's diversity index?

Simpson's diversity D = 1 - Σ pᵢ² gives the probability that two randomly chosen individuals belong to different species. It ranges from 0 (monoculture) to 1 (maximum diversity) and is less sensitive to rare species than the Shannon index, making it more robust for small samples.

What is species evenness?

Evenness measures how equally individuals are distributed among species. Pielou's J' = H'/ln(S) ranges from 0 (one species dominates) to 1 (all species equally abundant). A community of 10 species where one has 91% of individuals has low evenness despite moderate richness.

What is the Chao1 estimator?

Chao1 estimates the true number of species from an incomplete sample: S_est = S_obs + f₁²/(2f₂), where f₁ = singletons and f₂ = doubletons. It accounts for species present but not yet detected, providing a lower bound on true richness. It is widely used in ecological surveys and metagenomic studies.

Sources

Embed

<iframe src="https://homo-deus.com/lab/environmental-science/biodiversity-index/embed" width="100%" height="400" frameborder="0"></iframe>
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