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<datestamp>2018-01-11</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Generalization of the Partitioning of Shannon Diversity</title>
<creator>Marcon, Eric</creator>
<creator>Scotti, Ivan</creator>
<creator>Herault, Bruno</creator>
<creator>Rossi, Vivien</creator>
<creator>Lang, Gabriel</creator>
<contributor>Ecologie des forêts de Guyane (ECOFOG) ; Centre de Coopération Internationale en Recherche Agronomique pour le Développement (CIRAD) - Institut National de la Recherche Agronomique (INRA) - Université des Antilles et de la Guyane (UAG) - AgroParisTech - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Mathématiques et Informatique Appliquées (MIA-Paris) ; Institut National de la Recherche Agronomique (INRA) - AgroParisTech</contributor>
<contributor>Agence Nationale de la Recherche (CEBA) [ANR-10-LABX-25-01]; project Climfor (Fondation pour la Recherche sur la Biodiversite)</contributor>
<source>ISSN: 1932-6203</source>
<source>PLoS ONE</source>
<publisher>Public Library of Science</publisher>
<identifier>hal-01189953</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01189953</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01189953</source>
<source>PLoS ONE, Public Library of Science, 2014, 9 (3), 〈10.1371/journal.pone.0090289〉</source>
<identifier>DOI : 10.1371/journal.pone.0090289</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1371/journal.pone.0090289</relation>
<identifier>PRODINRA : 259795</identifier>
<identifier>PUBMED : 24603966</identifier>
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<language>en</language>
<subject>[SDV] Life Sciences [q-bio]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>Traditional measures of diversity, namely the number of species as well as Simpson's and Shannon's indices, are particular cases of Tsallis entropy. Entropy decomposition, i.e. decomposing gamma entropy into alpha and beta components, has been previously derived in the literature. We propose a generalization of the additive decomposition of Shannon entropy applied to Tsallis entropy. We obtain a self-contained definition of beta entropy as the information gain brought by the knowledge of each community composition. We propose a correction of the estimation bias allowing to estimate alpha, beta and gamma entropy from the data and eventually convert them into true diversity. We advocate additive decomposition in complement of multiplicative partitioning to allow robust estimation of biodiversity.</description>
<date>2014</date>
</dc>
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