skbio.diversity.alpha.brillouin_d¶

skbio.diversity.alpha.brillouin_d(counts)[source]¶

Calculate Brillouin index of alpha diversity.

State: Experimental as of 0.4.0.

This is calculated as follows:

\[HB = \frac{\ln N!-\sum^s_{i=1}{\ln n_i!}}{N}\]

where \(N\) is defined as the total number of individuals in the sample, \(s\) is the number of OTUs, and \(n_i\) is defined as the number of individuals in the \(i^{\text{th}}\) OTU.

Parameters:	counts (1-D array_like, int) – Vector of counts.
Returns:	Brillouin index.
Return type:	double

Notes

The implementation here is based on the description given in the SDR-IV online manual [1].

References

[1]	http://www.pisces-conservation.com/sdrhelp/index.html