Shannon Diversity Index

symbols, variables and units

p_i: relative abundance of type i; H: dimensionless (natural logarithm unit nat).

applicable conditions and boundaries

p_i≥0, the sum is 1, and 0 ln0=0 is agreed; the sequencing depth can affect the estimation.

formula source code

The following is a copyable LaTeX expression.

H=-\sum_i p_i\ln p_i

Reference and Extended Learning

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.