Haegeman Bart, Etienne Rampal S
MERE Research Team, INRIA Sophia Antipolis-Méditerranée, UMR Systems Analysis and Biometrics, 34060 Montpellier, France.
Bull Math Biol. 2009 Aug;71(6):1507-19. doi: 10.1007/s11538-009-9411-0. Epub 2009 Mar 12.
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.
哈贝尔的中性理论认为，诸如物种丰度分布等生态模式可以通过基于简单假设的随机模型来解释。其中一个假设，即点突变假设，表明每个个体具有相同的物种形成概率。艾蒂安等人认为，关于物种形成过程的其他假设可能更符合实际情况，例如，每个物种具有相同的物种形成概率（艾蒂安等人，发表于《生态学杂志》116卷：241 - 258页，2007年）。他们引入了一些具有不同物种形成过程的中性群落模型，并推测了它们的稳态物种丰度分布公式。在此，我们研究一个包含这些修正模型的广义中性群落模型，并推导其稳态分布，从而证明这些推测公式。
