The Index of Diversity () is the standard quantitative tool used to compare habitats. It is calculated using the formula: where is the total number of organisms of all species found, and is the total number of organisms of each individual species.
Step 1: Data Collection. Use standardized sampling techniques (like random quadrats or pitfall traps) to count the number of individuals for every species present in the area.
Step 2: Calculate the Denominator. For every species, multiply its count () by (). Sum these values together for all species in the community to find .
Step 3: Calculate the Numerator. Find the total population by adding all values. Multiply by .
Step 4: Final Division. Divide the numerator by the denominator. The resulting value typically starts at 1 (no diversity) and increases as diversity grows.
It is vital to distinguish between a simple count and a weighted index when evaluating environmental health.
| Feature | Species Richness | Index of Diversity () |
|---|---|---|
| Data Required | List of species present | Number of individuals per species |
| Sensitivity | Ignores population size | Sensitive to population balance |
| Indication | Basic variety | Ecosystem stability and health |
| Complexity | Low (simple count) | Moderate (mathematical formula) |
While richness might stay the same after a pollution event, the Index of Diversity often drops significantly because sensitive species become rare while hardy species dominate.
Check the Denominator: When calculating , ensure you perform the operation for every species before adding them together. A common mistake is adding all first and then trying to apply the formula.
Interpret the Value: Always remember that a higher value indicates a more diverse and stable habitat. If you calculate a value less than 1, you have made an arithmetic error.
Units and Rounding: is a dimensionless index. Usually, rounding to two decimal places is sufficient unless specified otherwise by the problem.
Sanity Check: If one species makes up 99% of the population, your value should be very close to 1, regardless of how many other rare species are present.
The 'Richness is Enough' Fallacy: Students often assume a habitat with 20 species is 'better' than one with 10. However, if the 20-species habitat is 99% one type of weed, it is functionally less diverse than a 10-species habitat with equal populations.
Confusing and : is the 'Big Total' (the sum of all organisms), while is the 'small total' for just one specific group. Swapping these in the formula will lead to incorrect results.
Ignoring Zeroes: If a species has 0 or 1 individual, its contribution to the denominator is 0 (). These do not increase the denominator but do increase the numerator , slightly raising the overall index.