Ecologists investigated the diversity of plant species in two different grassland ecosystems: an organically managed meadow and an intensively grazed pasture.
Table 1 shows the raw data for the number of individuals of five plant species found in a quadrat sample from the organically managed meadow.
| Plant species | Number of individuals (nnn) |
|---|---|
| Oxeye daisy | 15 |
| Red clover | 10 |
| Common knapweed | 5 |
| Meadow buttercup | 12 |
| Yarrow | 8 |
Suggest one reason why the ecologists used an index of diversity rather than just species richness (the number of different species) to compare the two grasslands.
The ecologists used this equation to calculate the index of diversity (ddd):
d=1−∑(nN)2d = 1 - \sum \left(\frac{n}{N}\right)^2d=1−∑(Nn)2
where nnn is the number of individuals of each species and NNN is the total number of individuals of all species.
Use this equation and the data in Table 1 to calculate the index of diversity for this meadow. Give your answer to 3 significant figures.