The coalescent in population models with time-inhomogeneous environment

被引：19
|
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
收藏
页码：199 / 227
页数：29
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