Simpson’s Diversity Index. An alternative diversity measure to Shannon’s in (2.1) is the Simpson diversity index defined as It achieves its maximum k when all frequencies are equal; thus Simpson’s...

Simpson’s Diversity Index. An alternative diversity measure to Shannon’s in (2.1) is the Simpson diversity index defined as

It achieves its maximum k when all frequencies are equal; thus Simpson’s homogeneity (equitability) index is defined as E_D
= D/k. Repeat the calculations from Example 2.3 with Simpson’s diversity and homogeneity indices in place of Shannon’s. Is the Brazilian sample still the most homogeneous, as it was according to Shannon’s E_H
index?