The Index of Diversity () provides a quantitative measure that accounts for both the number of species and the abundance of each species.
The mathematical formula used to calculate this index is:
In this formula, represents the total number of organisms of all species combined, while represents the total number of organisms of each individual species.
The resulting value of typically ranges from 1 upwards; a higher numerical value indicates a more diverse and stable community.
| Feature | Species Richness | Index of Diversity () |
|---|---|---|
| Data Required | Count of different species | Species count AND population sizes |
| Sensitivity | Ignores population distribution | Highly sensitive to evenness |
| Ecological Insight | Basic variety measure | Indicator of ecosystem stability |
| Limitation | Can be misleading if one species dominates | Requires more intensive data collection |
Calculation Workflow: Always calculate first by summing all values. Then, create a table with columns for , , and to avoid arithmetic errors during the summation process.
Interpreting Results: If an exam question asks you to compare two habitats, look for the one where the population is spread more evenly across species; this habitat will almost always have the higher value.
Formula Application: Ensure you are using the correct version of the formula provided in the specification. Always check if the question asks for the 'Index of Diversity' or just 'Species Richness' before starting calculations.
The 'Minus One' Error: A frequent mistake is forgetting to subtract 1 from or before multiplying. The formula requires and to account for sampling without replacement logic.
Summation Confusion: Students often sum all values and then square the total, rather than calculating for each species individually and then summing those products.
Scale Misinterpretation: Do not assume a high species richness automatically means high biodiversity. Always check the relative abundance (evenness) to determine the true health of the community.