Coalescence time for two genes from a subdivided population

Coalescence time for two genes from a subdivided population
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DOI:
10.1007/s002850100104
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发表时间:
2001-11-01
影响因子:
1.9
通讯作者:
Griffiths, RC
Griffiths, RC
中科院分区:
数学4区
文献类型:
--
作者:
Bahlo, M;Griffiths, RC

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本文给出了两基因合并等待时间分布的拉普拉斯变换和矩的一种新形式的解。这两个基因是从一个细分的人口,人口之间的迁移率是恒定的时间。不假设亚群大小相等。对于岛与岛之间具有相等迁移率的特殊情况,明确地找到了合并时间的拉普拉斯变换和一阶、二阶矩。新形式的解决方案允许数值计算。连接的结果如何涉及到一个panmictic人口的迁移率是大的说明使用强迁移极限理论。
In this paper a new form of the solution for the Laplace transform and moments of the distribution of the waiting time for two genes to coalescence is presented. The two genes are sampled from a subdivided population where migration rates between populations are constant in time. Equal subpopulation size is not assumed. For the special case of an island model with equal migration rates between islands, the Laplace transform of the coalescence time and the first and second moments are found explicitly. The new form of the solutions allows numerical calculation. The connection of how the results relate to a panmictic population when migration rates are large is illustrated using strong-migration-limit theory.