Coalescent theory for seed bank models

被引：63

作者：

Kaj, I ^{[1
]}

Krone, SM

Lascoux, M

机构：

[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

[2] Univ Idaho, Dept Math, Moscow, ID 83844 USA

[3] Uppsala Univ, EBC, Dept Conservat Biol & Genet, S-75236 Uppsala, Sweden

来源：

JOURNAL OF APPLIED PROBABILITY | 2001年 / 38卷 / 02期

关键词：

coalescent; seed bank; age-dependent mutation; urn model; weak convergence;

D O I：

10.1017/S0021900200019860

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study the genealogical structure of samples from a population for which any given generation is made up of direct descendants from several previous generations. These occur in nature when there are seed banks or egg banks allowing an individual to leave offspring several generations in the future. We show how this temporal structure in the reproduction mechanism causes a decrease in the coalescence rate. We also investigate the effects of age-dependent neutral mutations. Our main result gives weak convergence of the scaled ancestral process, with the usual diffusion scaling, to a coalescent process which is equivalent to a time-changed version of Kingman's coalescent.

引用

页码：285 / 300

页数：16

共 17 条

[11] A convergence theorem for Markov chains arising in population genetics and the coalescent with selfing [J].