Biological diversity: distinct distributions can lead to the maximization of Rao's quadratic entropy

DOI10.1016/j.tpb.2009.01.008zbMath1211.92065OpenAlexW2045121171WikidataQ33411121 ScholiaQ33411121MaRDI QIDQ615592

Sandrine Pavoine, Michael B. Bonsall

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2009.01.008

zbMATH Keywords

circumcenterevennessabundancebiological conservationdiversity apportionmentEuclideanpairwise species distancesrichnesssmallest-enclosing hypersphereultrametric distances

Mathematics Subject Classification ID

Ecology (92D40) Statistical aspects of information-theoretic topics (62B10)

Related Items (3)

Rao’s quadratic entropy and maximum diversification indexation ⋮ A partial ordering approach for functional diversity ⋮ Entropy and information approaches to genetic diversity and its expression: genomic geography

Uses Software

• R
• CircStats
• circular

Cites Work

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• Towards a unifying approach to diversity measures: bridging the gap between the Shannon entropy and Rao's quadratic index
• Diversity and dissimilarity coefficients: A unified approach
• From dissimilarities among species to dissimilarities among communities: a double principal coordinate analysis
• Measuring diversity from dissimilarities with Rao's quadratic entropy: are any dissimilarities suitable?
• Topics in Circular Statistics
• On Diversity
• Mathematical model for studying genetic variation in terms of restriction endonucleases.
• Diversity as a Concept and its Measurement
• Analysis of Gene Diversity in Subdivided Populations
• Some distance properties of latent root and vector methods used in multivariate analysis
• Measurement of Diversity

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