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Neutral Models with Generalised Speciation

Authors :
Bart Haegeman
Rampal S. Etienne
Water Resource Modeling (MERE)
Inria Sophia Antipolis - Méditerranée (CRISAM)
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de la Recherche Agronomique (INRA)
Community and Conservation Ecology Group [Groningen]
Université de Groningen
Etienne group
Source :
Bulletin of Mathematical Biology, Bulletin of Mathematical Biology, Springer Verlag, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩, Bulletin of mathematical biology, 71(6), 1507-1519. SPRINGER, Bulletin of Mathematical Biology, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩
Publication Year :
2009
Publisher :
HAL CCSD, 2009.

Abstract

aeres : ACL; International audience; Hubbell's neutral theory claims that ecological patterns such as species abundance distributions can be explained by a stochastic model based on simple assumptions. One of these assumptions, the point mutation assumption, states that every individual has the same probability to speciate. Etienne et al. have argued that other assumptions on the speciation process could be more realistic, for example, that every species has the same probability to speciate (Etienne, et al. in Oikos 116:241-258, 2007). They introduced a number of neutral community models with a different speciation process, and conjectured formulas for their stationary species abundance distribution. Here we study a generalised neutral community model, encompassing these modified models, and derive its stationary distribution, thus proving the conjectured formulas.

Details

Language :
English
ISSN :
00928240 and 15229602
Database :
OpenAIRE
Journal :
Bulletin of Mathematical Biology, Bulletin of Mathematical Biology, Springer Verlag, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩, Bulletin of mathematical biology, 71(6), 1507-1519. SPRINGER, Bulletin of Mathematical Biology, 2009, 71 (6), pp.1507-1519. ⟨10.1007/s11538-009-9411-0⟩
Accession number :
edsair.doi.dedup.....f422b44fa6790677b63560d1d9f4eb4d
Full Text :
https://doi.org/10.1007/s11538-009-9411-0⟩