Simpson's Diversity Index Calculator
Measure biodiversity using Simpson’s index.
Formula first
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
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).
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
- Wikipedia: Simpson index
- Campbell Biology
- Britannica: Simpson's diversity index
- AQA Biology A-level Textbook by Glenn Toole and Susan Toole
- Ecology: From Individuals to Ecosystems by Michael Begon, Colin R. Townsend, and John L. Harper
- OCR A-Level Biology A — Biodiversity