Neutral evolution in spatially continuous populations
Neutral evolution in spatially continuous populations
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DOI：
10.1006/tpbi.2001.1557
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发表时间：
2002-02-01
影响因子：
1.4
通讯作者：
Etheridge, AM
中科院分区：
文献类型：
--
作者：
Barton, NH;Depaulis, F;Etheridge, AM
我们介绍了一个一般的递归的概率身份的状态下的两个人从一个人口受到突变，迁移和随机漂移在一个二维连续。递归允许由密度依赖的种群调节引起的相互作用，这在连续种群中是不可避免的。我们给出了显式的级数展开的大邻域大小和低突变率分别和调查的准确性，经典的Malecot公式，这些一般模型。当邻域大小很小时，这个公式甚至在大尺度上也不能给出恒等式。然而，对于大的邻域大小，它是一个准确的近似，它总结了当地人口结构的三个数量：有效的扩散率，西格玛（e）;有效的人口密度，ρ（e）;和当地规模，卡帕，在当地的相互作用变得显着。仿真结果说明了这一点。(C)2002年爱思唯尔科学（美国）。
We introduce a general recursion for the probability of identity in state of two individuals sampled from a population subject to mutation, migration, and random drift in a two-dimensional Continuum. The recursion allows for the interactions induced by density-dependent regulation of the population, which are inevitable in a continuous population. We give explicit series expansions for large neighbourhood size and for low mutation rates respectively and investigate the accuracy of the classical Malecot formula for these general models. When neighbourhood size is small, this formula does not give the identity even over large scales. However, for large neighbourhood size, it is an accurate approximation which summarises the local population structure in terms of three quantities: the effective dispersal rate, sigma(e); the effective population density, rho(e); and a local scale, kappa, at which local interactions become significant. The results are illustrated by simulations. (C) 2002 Elsevier Science (USA).