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Simpson's Diversity Index Calculator

Measure biodiversity using Simpson’s index.

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Simpson's Diversity Index

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Overview

Simpson's Diversity Index is a statistical measure used to quantify the biodiversity of a habitat by accounting for both species richness and evenness. It calculates the probability that two individuals randomly selected from a sample will belong to different species, with values ranging from 0 for a monoculture to 1 for infinite diversity.

Symbols

Variables

D = Simpson's Diversity Index, n = Individuals in Species, N = Total Individuals, Diversity Index = Diversity Index

Simpson's Diversity Index
Variable
Individuals in Species
Variable
Total Individuals
Variable
Diversity Index
Diversity Index
Variable

Apply it well

When To Use

When to use: This index is best used when comparing two distinct ecological communities or tracking the impact of environmental changes on a single site over time. It is particularly effective for large datasets where calculating relative abundance is more informative than simply counting the number of species present.

Why it matters: Biodiversity is a key indicator of ecosystem health and resilience; higher diversity typically suggests a more stable environment capable of withstanding stressors. Conservationists use this metric to identify habitats requiring protection and to measure the success of restoration projects.

Avoid these traps

Common Mistakes

  • Using raw counts without dividing by N.
  • Forgetting the final 1 - sum step.

One free problem

Practice Problem

An island ecosystem contains 2 species of lizards. There are 50 individuals of the first species and 50 individuals of the second species, for a total of 100 lizards. Calculate the Simpson's Index of Diversity (D).

Individuals in Species50
Total Individuals100

Solve for:

Hint: Divide the count of each species by the total population, square those values, sum them, and subtract from 1.

The full worked solution stays in the interactive walkthrough.

References

Sources

  1. Wikipedia: Simpson index
  2. Campbell Biology
  3. Britannica: Simpson's diversity index
  4. AQA Biology A-level Textbook by Glenn Toole and Susan Toole
  5. Ecology: From Individuals to Ecosystems by Michael Begon, Colin R. Townsend, and John L. Harper
  6. OCR A-Level Biology A — Biodiversity