skbio.diversity.alpha.simpson_e

skbio.diversity.alpha.simpson_e(counts)

Calculate Simpson’s evenness index.

Simpson’s evenness (a.k.a., equitability) index \(E_D\) is defined as

\[E_D = \frac{1}{D \times S}\]

where \(D\) is the Simpson’s dominance index and \(S\) is the number of taxa in the sample.

That is, \(E_D\) is the ratio of the minimum-possible Simpson’s dominance index when all taxa have the same number of individuals: \(D_{min} = 1 / S\), versus the actual Simpson’s dominance index of the sample.

Parameters:

counts1-D array_like, int

Vector of counts.

Returns:

double

Simpson’s evenness index.

See also

dominance

enspie

simpson

Notes

The implementation here is based on the description given in [1] and [2].

References

[1]

Simpson, E. H. (1949). Measurement of diversity. nature, 163(4148), 688-688.

[2]

Pielou, E. C. (1966). The measurement of diversity in different types of biological collections. Journal of theoretical biology, 13, 131-144.