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Inbreeding coefficients and coalescence times

机译：近交系数和合并时间

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This paper describes the relationship between probabilities of identity by descent and the distribution of coalescence times. By using the relationship between coalescence times and identity probabilities, it is possible to extend existing results forinbreeding coefficients in regular systems of mating to find the distribution of coalescence times and the mean coalescence times. It is also possible to express Sewall Wright's F_(ST) as the ratio of average coalescence times of different pairs of genes. That simplifies the analysis of models of subdivided populations because the average coalescence time can be found by computing separately the time it takes for two genes to enter a single subpopulation and time it takes for two genes in the same subpopulation to coalesce. The first time depends only on the migration matrix and the second time depends only on the total number of individuals in the population. This approach is used to find F_(ST) in the finite island model and in one- and two-dimensional stepping-stone models. It is also used to find the rate of approach of F_(ST) to its equilibrium value. These results are discussed in terms of different measures of genetic distance. It is proposed that, for the purposes of describing the amount ofgene flow among local populations, the effective migration rate between pairs of local populations, M, which is the migration rate that would be estimated for those two populations if they were actually in an island model, provides a simple and useful measure of genetic similarity that can be defined for either allozyme or DNA sequence data.
机译：本文描述了通过下降的身份概率与合并时间分布之间的关系。通过使用合并时间和身份概率之间的关系，可以扩展常规交配系统中近交系数的现有结果，以找到合并时间和平均合并时间的分布。 Sewall Wright的F_（ST）也可以表示为不同基因对的平均合并时间的比率。这简化了细分种群模型的分析，因为可以通过分别计算两个基因进入一个亚群所需的时间和同一亚群中两个基因合并所需的时间来找到平均合并时间。第一次仅取决于移民矩阵，第二次仅取决于人口总数。该方法用于在有限岛模型以及一维和二维垫脚石模型中找到F_（ST）。它也可用于找到F_（ST）达到其平衡值的速率。将根据遗传距离的不同度量来讨论这些结果。为了描述当地种群之间的基因流动量，建议，以成对的当地种群之间的有效迁移率M为指标，这是如果这两个种群实际上在一个岛上，则可以估算的迁移率。该模型提供了一种简单而有用的遗传相似性度量，可以为同工酶或DNA序列数据定义。

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