@Article{Marcon_etal2012, author="Marcon, E. and Herault, B. and Baraloto, C. and Lang, G.", title="The decomposition of Shannon{\textquoteright}s entropy and a confidence interval for beta diversity", journal="Oikos", year="2012", volume="121", number="4", pages="516--522", abstract="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{\textquoteright}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. {\textcopyright} 2011 The Authors. Oikos {\textcopyright} 2012 Nordic Society Oikos.", optnote="Export Date: 28 March 2012; Source: Scopus; Coden: Oiksa; doi: 10.1111/j.1600-0706.2011.19267.x; Language of Original Document: English; Correspondence Address: Marcon, E.; AgroParisTech, UMR EcoFoG, BP 709, FR-97310 Kourou, France; email: eric.marcon@ecofog.gf", optnote="exported from refbase (http://php.ecofog.gf/refbase/show.php?record=386), last updated on Tue, 23 Oct 2012 07:24:30 -0300", issn="00301299 (Issn)", doi="10.1111/j.1600-0706.2011.19267.x", opturl="http://www.scopus.com/inward/record.url?eid=2-s2.0-84858342314&partnerID=40&md5=6cc1754562e1c574ba5b1fee96b366d4" }