The decomposition of Shannon's entropy and a confidence interval for beta diversity

Marcon Eric, Hérault Bruno, Baraloto Christopher, Lang Gabriel. 2012. The decomposition of Shannon's entropy and a confidence interval for beta diversity. Oikos, 121 (4) : 516-522.

Quartile : Q1, Sujet : ECOLOGY

Liste HCERES des revues (en SHS) : oui

Thème(s) HCERES des revues (en SHS) : Psychologie-éthologie-ergonomie

Résumé : 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 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.

Mots-clés Agrovoc : biodiversité, écologie forestière, modèle mathématique, méthode statistique, forêt tropicale humide, inventaire forestier, composition botanique, échantillonnage

Mots-clés géographiques Agrovoc : Guyane française, France

Mots-clés complémentaires : Parcelle d'essai

Classification Agris : P01 - Conservation de la nature et ressources foncières
U10 - Informatique, mathématiques et statistiques

Champ stratégique Cirad : Axe 6 (2005-2013) - Agriculture, environnement, nature et sociétés

Auteurs et affiliations

• Marcon Eric, AgroParisTech (GUF)
• Hérault Bruno, CIRAD-ES-UMR Ecofog (GUF) ORCID: 0000-0002-6950-7286
• Baraloto Christopher, INRA (GUF)
• Lang Gabriel, AgroParisTech (FRA)

Source : Cirad - Agritrop (https://agritrop.cirad.fr/567143/)

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