A coalescent model for the effect of advantageous mutations on the genealogy of a population

A coalescent model for the effect of advantageous mutations on the genealogy of a population
复制标题

DOI:
10.1016/j.spa.2005.04.009
复制
发表时间:
2005-10-01
影响因子:
1.4
通讯作者:
Schweinsberg, J
Schweinsberg, J
中科院分区:
数学3区
文献类型:
--
作者:
Durrett, R;Schweinsberg, J

文献摘要

被引文献

相似文献

当一个群体中出现有利突变时,有利等位基因可能在短时间内传播到整个群体,这一事件被称为选择性横扫。因此,当我们从一个种群中抽取n个个体并追溯他们的祖先谱系时,许多谱系可能在选择性清除时几乎是瞬间结合在一起的。我们证明,当种群规模趋于无穷大时,这个过程收敛为一个聚结过程,称为多碰撞聚结过程。对于有限种群,使用同时发生多次碰撞的聚结可以得到更好的近似。我们还展示了如何使用这些聚结近似来深入了解有益突变如何影响统计数据的行为,这些统计数据已被用于检测偏离通常的金曼聚结。(c) 2005 Elsevier B.V.版权所有
When an advantageous mutation occurs in a population, the favorable allele may spread to the entire population in a short time, an event known as a selective sweep. As a result, when we sample n individuals from a population and trace their ancestral lines backwards in time, many lineages may coalesce almost instantaneously at the time of a selective sweep. We show that as the population size goes to infinity, this process converges to a coalescent process called a coalescent with multiple collisions. A better approximation for finite populations can be obtained using a coalescent with simultaneous multiple collisions. We also show how these coalescent approximations can be used to get insight into how beneficial mutations affect the behavior of statistics that have been used to detect departures from the usual Kingman's coalescent. (c) 2005 Elsevier B.V. All rights reserved.