The Speed of Evolution in Large Asexual Populations
The Speed of Evolution in Large Asexual Populations
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DOI：
10.1007/s10955-009-9915-x
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发表时间：
2010-02-01
影响因子：
1.6
通讯作者：
Krug, Joachim
中科院分区：
文献类型：
--
作者：
Park, Su-Chan;Simon, Damien;Krug, Joachim
我们考虑在选择和突变的影响下，在离散时间内进化的恒定大小 N 的无性生物种群。有益突变以 U 率出现，其选择性效应 s 从分布 g(s) 中得出。在介绍了数学群体遗传学所需的模型和概念之后，我们回顾了计算对数适应度增加速度作为 N、U 和 g(s) 函数的不同方法。我们提出了无限人口规模限制的精确解，并提供了对其有效的人口规模的估计。然后，我们讨论有限总体问题的近似方法，区分单个选择系数 g(s)=delta(s-s (b) ) 的情况和选择系数的连续分布。将速度的分析估计值与人口规模高达 10(300) 的数值模拟进行比较。
We consider an asexual biological population of constant size N evolving in discrete time under the influence of selection and mutation. Beneficial mutations appear at rate U and their selective effects s are drawn from a distribution g(s). After introducing the required models and concepts of mathematical population genetics, we review different approaches to computing the speed of logarithmic fitness increase as a function of N, U and g(s). We present an exact solution of the infinite population size limit and provide an estimate of the population size beyond which it is valid. We then discuss approximate approaches to the finite population problem, distinguishing between the case of a single selection coefficient, g(s)=delta(s-s (b) ), and a continuous distribution of selection coefficients. Analytic estimates for the speed are compared to numerical simulations up to population sizes of order 10(300).