Skip to main content
. Author manuscript; available in PMC: 2021 Jul 31.
Published in final edited form as: Stat Med. 2021 Mar 25;40(12):2859–2876. doi: 10.1002/sim.8940

Table 2.

Formulas for the non-phylogenetic and phylogenetic α-diversity indices.

Non-phylogenetic indices Phylogenetic indices
Richness S PD t=1Slt
Shannon t=1Swtlnwt PE t=1Sltwtlnwt
Simpson t=1Swt2 PQE t=1Sltwt2
*

S is the total number of species present in a sample, wt is the relative abundance of the t-th species, and lt is the length of the branches that belong to the t-th species in the phylogenetic tree for t = 1, …, S.

*

Richness, Shannon, Simpson, PD, PE and PQE represent the Species richness, Shannon, Simpson, PD, PE and PQE indices, respectively.