51. Dynamics of neutral biodiversity
- Author
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Dimitri Vanpeteghem, Bart Haegeman, Olivier Zemb, Laboratoire de Biotechnologie de l'Environnement [Narbonne] (LBE), Institut national d’études supérieures agronomiques de Montpellier (Montpellier SupAgro), Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut National de la Recherche Agronomique (INRA), University of New South Wales [Sydney] (UNSW), Analyse des Systèmes et Biométrie (ASB), and Institut National de la Recherche Agronomique (INRA)
- Subjects
0106 biological sciences ,Statistics and Probability ,Mathematical optimization ,BIODIVERSITY DYNAMICS ,Ecology (disciplines) ,Computation ,Models, Biological ,010603 evolutionary biology ,01 natural sciences ,General Biochemistry, Genetics and Molecular Biology ,03 medical and health sciences ,Diversity index ,Quantitative Biology::Populations and Evolution ,Computer Simulation ,Statistical physics ,Limit (mathematics) ,Ecosystem ,030304 developmental biology ,Mathematics ,Stochastic Processes ,0303 health sciences ,General Immunology and Microbiology ,Applied Mathematics ,Linear system ,Biodiversity ,General Medicine ,Function (mathematics) ,Variance (accounting) ,Modeling and Simulation ,MICROBIAL ECOLOGY ,SIMPSON DIVERSITY INDEX ,[INFO.INFO-BI]Computer Science [cs]/Bioinformatics [q-bio.QM] ,NEUTRAL COMMUNITY MODEL ,General Agricultural and Biological Sciences ,Equations for a falling body - Abstract
International audience; Hubbell’s neutral model has become a major paradigm in ecology. Whereas the steady-state structure is well understood, results about the dynamical aspects of the model are scarce. Here we derive dynamical equations for the Simspon diversity index. Both mean and variance of the diversity are proven to satisfy stable linear system dynamics. We show that in the stationary limit we indeed recover previous results, and we supplement this with numerical simulations to validate the dynamical part of our analytical computations. These .ndings are especially relevant for experiments in microbial ecology, where the Simpson diversity index can be accurately measured as a function of time.
- Published
- 2008