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arXiv 1402.2564q-bio.PEcond-mat.stat-mech
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任意网络连接岛屿上的群体遗传学:一种分析方法

Population genetics on islands connected by an arbitrary network: An analytic approach

George W A Constable, Alan J McKane

摘要:

我们分析了一个模型组成的人口的个人细分成一组有限的demes,其中每个人都有一个固定的,但不同数量的个人。个体可以按照任意的迁移网络在族群之间繁衍、死亡和迁移。它们是单倍体,在种群中存在两个等位基因;频率独立选择也被纳入,其中选择的强度和方向可以因种群而异。该系统被表述为基于个体的模型,并系统地应用扩散近似将其表达为一组非线性耦合随机微分方程。这些可以通过消除快时间变量来进行分析。在多种情况下分析了由此产生的简化模型,包括导致两个等位基因多态性平衡的迁移选择平衡,以及在网络是简单的情况下种群细分如何导致非平凡行为的说明枢纽。我们开发的方法是系统的,可以应用于任何网络,并同意在所有情况下的模拟结果研究和广泛的参数值。

英文摘要:

We analyse a model consisting of a population of individuals which is subdivided into a finite set of demes, each of which has a fixed but differing number of individuals. The individuals can reproduce, die and migrate between the demes according to an arbitrary migration network. They are haploid, with two alleles present in the population; frequency independent selection is also incorporated, where the strength and direction of selection can vary from deme to deme. The system is formulated as an individual-based model, and the diffusion approximation systematically applied to express it as a set of nonlinear coupled stochastic differential equations. These can be made amenable to analysis through the elimination of fast-time variables. The resulting reduced model is analysed in a number of situations, including migration-selection balance leading to a polymorphic equilibrium of the two alleles, and an illustration of how the subdivision of the population can lead to non-trivial behaviour in the case where the network is a simple hub. The method we develop is systematic, may be applied to any network, and agrees well with the results of simulations in all cases studied and across a wide range of parameter values.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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