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Biodiversity and Simpson's Index

Jun 16, 2025

Overview

This lecture explains biodiversity and demonstrates how to calculate it in an area using Simpson's Index of Diversity, including examples and interpretations.

What is Biodiversity?

  • Biodiversity measures the variety and abundance of different species in an area.
  • High biodiversity means many different species and many individuals of each species.
  • Low biodiversity means few species or dominance by one species.

Simpson's Index of Diversity

  • Simpson's Index quantifies biodiversity using species counts in a sample area (quadrat).
  • The index value ranges from 0 (no diversity) to 1 (high diversity).
  • A higher value indicates greater diversity.

Key Variables in the Formula

  • “N” (capital N) stands for the total number of individuals in a sample.
  • “n” (lowercase n) is the number of individuals of each specific species.

Formula and Calculation Steps

  • The preferred formula for Simpson's Index of Diversity is:
    D = 1 - [ÎŁn(n-1)] / [N(N-1)].
  • Subtracting one in n(n-1) and N(N-1) accounts for pairs of individuals, not just totals.
  • If a species has only one individual, its contribution is nullified by the n-1 part.

Example Calculations

  • A sample dominated by one species (e.g., 36 of one type) gives a low D value (~0.15), indicating low diversity.
  • Even distribution among species (e.g., 6 each of three types) gives a higher D value (~0.71), indicating high diversity.
  • More species with varied but larger counts give the highest D value (~0.82), indicating the most diversity.

Interpreting Results

  • A value close to 0 means low diversity (likely dominated by one species).
  • A value close to 1 means high diversity (many species are well represented).
  • The index can help compare sites or track changes in biodiversity, e.g., along a transect away from human habitats.

Key Terms & Definitions

  • Biodiversity — the range and abundance of different species in an area.
  • Simpson's Index of Diversity (D) — a calculated value representing the probability that two individuals randomly selected from a sample will be of different species.
  • Quadrat — a square sample plot used for ecological study.
  • N — total number of individuals in the sample.
  • n — number of individuals of a particular species.

Action Items / Next Steps

  • Practice calculating Simpson’s Index for different sample data sets.
  • Consider setting up a transect and collecting quadrat data to observe biodiversity changes.
  • Review the difference between Simpson’s reciprocal and diversity indices.