选择性波动环境中突变率的调节因子
Modifiers of mutation rate in selectively fluctuating environments
摘要：
本文研究了一个具有波动环境的变异选择模型。更确切地说，假设大群体中的个体具有决定突变率$u \in [0,\vartheta]$的修饰基因座，该修饰基因座位于具有$v \in [0,1]$型的第二基因座。此外，环境是波动的，这意味着个体类型以某种高速率改变其适应性。适合度只取决于第二个位点的类型。我们得到了一般的限制结果的演变的等位基因频率分布的快速波动的环境。作为应用，我们利用由此产生的Fleming-Viot过程，并计算固定概率较高的突变率在特殊情况下的两个双等位基因位点的限制在第二个位点的小健身差异。
英文摘要：
We study a mutation-selection model with a fluctuating environment. More precisely, individuals in a large population are assumed to have a modifier locus determining the mutation rate $u \in [0,\vartheta]$ at a second locus with types $v \in [0,1]$. In addition, the environment fluctuates, meaning that individual types change their fitness at some high rate. Fitness only depends on the type of the second locus. We obtain general limit results for the evolution of the allele frequency distribution for rapidly fluctuating environments. As an application, we make use of the resulting Fleming-Viot process and compute the fixation probabilities for higher mutation rates in the special case of two bi-allelic loci in the limit of small fitness differences at the second locus.
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