The coalescent in population models with time-inhomogeneous environment

被引：18

作者：

Möhle, M ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Fachbereich Math, D-55099 Mainz, Germany

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2002年 / 97卷 / 02期

关键词：

ancestors; coalescent; diffusion approximation; population genetics; product integral; stirling numbers; varying environment; weak convergence;

D O I：

10.1016/S0304-4149(01)00135-1

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：

The coalescent theory, well developed for the class of exchangeable population models with time-homogeneous reproduction law, is extended to a class of population models with time-inhomogeneous environment, where the population size is allowed to vary deterministically with time and where the distribution of the family sizes is allowed to change from generation to generation. A new class of time-inhomogeneous coalescent limit processes with simultaneous multiple mergers arises. Its distribution can be characterized in terms of product integrals. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：199 / 227

页数：29

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