Mathematical bounds on Shannon entropy given the abundance of the ith most abundant taxon.

ABSTRACT: The measurement of diversity is a central component of studies in ecology and evolution, with broad uses spanning multiple biological scales. Studies of diversity conducted in population genetics and ecology make use of analogous concepts and even employ equivalent mathematical formulas. For the Shannon entropy statistic, recent developments in the mathematics of diversity in population genetics have produced mathematical constraints on the statistic in relation to the frequency of the most frequent allele. These results have characterized the ways in which standard measures depend on the highest-frequency class in a discrete probability distribution. Here, we extend mathematical constraints on the Shannon entropy in relation to entries in specific positions in a vector of species abundanc

SUBMITTER: Morrison ML 

PROVIDER: S-EPMC10603011 | biostudies-literature | 2023 Oct

REPOSITORIES: biostudies-literature