A Wright–Fisher graph model and the impact of directional selection on genetic variation

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Ingemar Kaj , Carina F. Mugal , Rebekka Müller-Widmann
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引用次数: 0

Abstract

We introduce a multi-allele Wright–Fisher model with mutation and selection such that allele frequencies at a single locus are traced by the path of a hybrid jump–diffusion process. The state space of the process is given by the vertices and edges of a topological graph, i.e. edges are unit intervals. Vertices represent monomorphic population states and positions on the edges mark the biallelic proportions of ancestral and derived alleles during polymorphic segments. In this setting, mutations can only occur at monomorphic loci. We derive the stationary distribution in mutation–selection–drift equilibrium and obtain the expected allele frequency spectrum under large population size scaling. For the extended model with multiple independent loci we derive rigorous upper bounds for a wide class of associated measures of genetic variation. Within this framework we present mathematically precise arguments to conclude that the presence of directional selection reduces the magnitude of genetic variation, as constrained by the bounds for neutral evolution.

赖特-费舍图模型和定向选择对遗传变异的影响。
我们引入了一个具有突变和选择的多等位基因赖特-费舍模型,该模型通过混合跳跃-扩散过程的路径来追踪单个位点的等位基因频率。该过程的状态空间由拓扑图的顶点和边给出,即边是单位间隔。顶点代表单态种群状态,边上的位置代表多态区段中祖先和衍生等位基因的双等位基因比例。在这种情况下,突变只能发生在单态位点上。我们推导出了突变-选择-漂移平衡中的静态分布,并得到了大种群规模缩放下的预期等位基因频率谱。对于具有多个独立基因座的扩展模型,我们推导出了一系列相关遗传变异度量的严格上限。在这一框架内,我们提出了精确的数学论据,从而得出结论:定向选择的存在会降低遗传变异的幅度,这受到中性进化界限的限制。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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