title: The generalized Simpson's entropy is a measure of biodiversity.
abstract: Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversity profiles, can be expressed as an effective number of species to simplify their interpretation, and come with estimators that allow one to apply them to real-world data. We introduce the generalized Simpson's entropy as a measure of diversity and investigate its properties. We show that it has many useful features and can be used as a measure of biodiversity. Moreover, unlike most commonly used diversity indices, it has unbiased estimators, which allow for sound estimation of the diversity of poorly sampled, rich communities.
authors.affiliation: Department of Mathematics and Statistics, University of North Carolina at Charlotte. Charlotte, NC 28223, United States of America.
authors.forename: Michael
authors.initials: M
authors.lastname: Grabchak
authors.affiliation: AgroParisTech, UMR EcoFoG, CNRS, CIRAD, INRA, Université des Antilles, Université de Guyane. BP 709, 97310 Kourou, France.
authors.forename: Eric
authors.identifier: http://orcid.org/0000-0002-5249-321X
authors.initials: E
authors.lastname: Marcon
authors.affiliation: UMR 518 Mia, AgroParisTech, INRA, Université Paris-Saclay. F-75015 Paris, France.
authors.forename: Gabriel
authors.initials: G
authors.lastname: Lang
authors.affiliation: Department of Mathematics and Statistics, University of North Carolina at Charlotte. Charlotte, NC 28223, United States of America.
authors.forename: Zhiyi
authors.initials: Z
authors.lastname: Zhang
mesh_terms: D000465:Algorithms; D044822:Biodiversity; D019277:Entropy; D008962:Models, Theoretical