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<title lang=en>The decomposition of Shannon's entropy and a confidence interval for beta diversity</title>
<creator>Marcon, Eric</creator>
<creator>Herault, Bruno</creator>
<creator>Baraloto, Christopher</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>
<source>ISSN: 0030-1299</source>
<source>EISSN: 1600-0706</source>
<source>Oikos</source>
<publisher>Nordic Ecological Society</publisher>
<identifier>hal-01032426</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01032426</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01032426</source>
<source>Oikos, Nordic Ecological Society, 2012, 121 (4), pp.516 - 522. 〈10.1111/j.1600-0706.2011.19267.x〉</source>
<identifier>DOI : 10.1111/j.1600-0706.2011.19267.x</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1111/j.1600-0706.2011.19267.x</relation>
<language>en</language>
<subject lang=en>STATISTICS</subject>
<subject lang=en>SIMILARITY</subject>
<subject lang=en>PATTERNS</subject>
<subject lang=en>LOCALIZATION</subject>
<subject lang=en>SPECIES-DIVERSITY</subject>
<subject lang=en>GAMMA-DIVERSITY</subject>
<subject lang=en>ALPHA</subject>
<subject lang=en>COMMUNITIES</subject>
<subject lang=en>COMPONENTS</subject>
<subject lang=en>SAMPLE</subject>
<subject>[SDV.SA] Life Sciences [q-bio]/Agricultural sciences</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>Beta diversity is among the most employed theoretical concepts in ecology and biodiversity conservation. Up to date, a self-contained definition of it, with no reference to alpha and gamma diversity, has never been proposed. Using Kullback-Leibler divergence, we present the explicit formula of Shannon's beta entropy, a bias correction for its estimator and a confidence interval. We also provide the mathematical framework to decompose Shannon diversity into several hierarchical nested levels. From botanical inventories of tropical forest plots in French Guiana, we estimate Shannon diversity at the plot, forest and regional level. We believe this is a complete and usefulness toolbox for ecologists interested in partitioning biodiversity.</description>
<date>2012</date>
</dc>
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