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AP Biology Notes

8.5.2 Measuring diversity using Simpson’s Diversity Index

AP Syllabus focus:

‘Simpson’s Diversity Index quantifies community diversity using the relative abundances of different species.’

Species diversity is more informative than a simple species list because it incorporates how individuals are distributed among species. Simpson’s Diversity Index is a standard quantitative tool for comparing communities using relative abundance data.

What Simpson’s Diversity Index measures

Simpson’s Diversity Index combines two key aspects of diversity:

  • Species richness: how many different species are present

  • Species evenness: how evenly individuals are distributed among those species

A community dominated by one species has lower diversity than a community where individuals are spread more evenly, even if both communities contain the same number of species.

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Three example communities with different species richness and evenness (relative abundances). By counting individuals of each species, you can see how greater dominance by one species lowers diversity even when the species list is similar. This directly motivates why Simpson’s uses relative abundances rather than presence/absence alone. Source

Species richness: The number of different species in a community.

Richness alone cannot capture dominance patterns; that is why relative abundances are essential for Simpson’s.

Species evenness: The extent to which individuals are distributed equally among the species in a community.

Data needed: relative abundances

Simpson’s relies on relative abundance, meaning each species’ contribution to the total number of individuals sampled.

  • Count individuals for each species in the same sampling area/timeframe

  • Use consistent criteria for what constitutes an “individual” (especially for colonial organisms)

  • Treat the dataset as a single community sample when calculating a single index value

Why relative abundance matters

Using relative abundance means the index is sensitive to dominance:

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A rank-abundance (Whittaker) curve plots each species’ relative abundance against its rank (most abundant to least abundant). The total number of ranks visualizes species richness, while the steepness of the decline reflects evenness (steeper curves indicate stronger dominance by a few species). This kind of plot helps you interpret why squaring relative abundances in Simpson’s index amplifies the influence of common species. Source

  • If one species becomes much more common while others become rare, diversity decreases.

  • If abundances become more balanced across species, diversity increases.

Equation and variables (Simpson’s Diversity Index)

Multiple algebraically related forms are used in biology courses; AP Biology commonly uses a version where higher values indicate higher diversity.

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Equation diagram showing Simpson’s index in the form 1pi21-\sum p_i^2, where each pip_i is the proportional (relative) abundance of category ii. This visual emphasizes that the calculation is built from squared proportions, which weights dominant species more strongly. It matches the common AP-style interpretation where higher values correspond to higher diversity. Source

Simpsons Diversity Index (D)=1(niN)2 Simpson's\ Diversity\ Index\ (D) = 1 - \sum \left(\frac{n_i}{N}\right)^2

ni n_i = number of individuals of species ii (count)

N N = total number of individuals across all species in the sample (count)

This form emphasizes that the index is built from the squared relative abundances, which weight common species more strongly than rare species.

Interpreting Simpson’s Diversity Index values

With D=1(ni/N)2D = 1 - \sum (n_i/N)^2:

  • Higher DD means higher diversity (greater evenness and/or more species)

  • Lower DD means lower diversity (greater dominance by one/few species)

What changes DD the most?

  • Large shifts in the most abundant species typically change DD more than small changes among rare species, because squaring relative abundance increases the influence of dominant species.

Using the index to compare communities (good practice)

To make comparisons meaningful, keep methodology consistent:

  • Use the same sampling method (e.g., same quadrat size, trap type, or transect length)

  • Sample at similar times (season/time of day can change detectability and abundance)

  • Ensure adequate sample size so relative abundances are stable estimates

  • Report the index alongside brief sampling context (area, effort, and units)

Common interpretation pitfalls

  • A slightly higher DD does not automatically imply a “healthier” community; it only indicates higher measured diversity based on the sample.

  • If two communities have similar DD, they can still differ in which species are present; Simpson’s does not capture species identity or ecological roles.

FAQ

Different conventions report either “dominance” or “diversity”.

  • $\sum (n_i/N)^2$ increases as dominance increases.

  • $1-\sum (n_i/N)^2$ increases as diversity increases.

Both are derived from the same components; always check which direction indicates greater diversity.

It stabilises as sampling effort increases because relative abundances become more reliable.

Small samples can over- or under-represent species, especially rare ones, shifting $\frac{n_i}{N}$ values and therefore $D$. Replicated sampling and consistent effort improve comparability.

Yes, if categories are applied consistently (e.g., morphospecies or genus-level groups).

However, lumping taxa can inflate apparent evenness and reduce apparent richness. Comparisons are most defensible when the same identification resolution is used across all communities.

Direct comparison is risky because sampling method affects detectability and relative abundance estimates.

A cautious approach is to compare only within method-matched datasets, or to standardise effort (same area, time, or number of traps) before computing $D$.

It can be, but interpretation depends on design.

Averaging quadrat-level $D$ describes typical local diversity, whereas pooling counts across quadrats and computing one $D$ describes diversity at the combined scale. Choose based on the ecological question and keep the approach consistent.

Practice Questions

Community A has D=0.82D = 0.82 and Community B has D=0.41D = 0.41 using the same sampling method. State which community is more diverse and give one reason based on what Simpson’s index measures. (2 marks)

  • Identifies Community A as more diverse (1)

  • Reason linked to Simpson’s: higher evenness and/or less dominance by one species / incorporates relative abundance (1)

Describe how Simpson’s Diversity Index is calculated from species count data using relative abundances, and explain how (i) increasing species richness and (ii) decreasing evenness would each be expected to affect DD. (6 marks)

  • States that individuals are counted per species and total NN is found (1)

  • Uses relative abundance term niN\frac{n_i}{N} (1)

  • Includes squaring and summing across species (niN)2\sum (\frac{n_i}{N})^2 (1)

  • Includes the transformation to D=1(niN)2D = 1 - \sum (\frac{n_i}{N})^2 (1)

  • Explains increasing richness tends to increase DD (e.g., relative abundances spread across more species lowers the sum) (1)

  • Explains decreasing evenness (greater dominance) tends to decrease DD (dominant species increases squared term and the sum) (1)

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