Ergodic properties of the equilibrium measure of the stepping stone model in population genetics-Reference-Cited by-同舟云学术

Ergodic properties of the equilibrium measure of the stepping stone model in population genetics

Published:1981-10 Issue: Volume:83 Page:37-51
ISSN:0027-7630
Container-title:Nagoya Mathematical Journal
language:en
Short-container-title:Nagoya Mathematical Journal

Author:

Itatsu Seiichi

Abstract

We shall present in this paper some ergodic properties of the stepping stone model. The model has been proposed by M. Kimura [2], to describe the evolution of a genetical population with mating and geographical structures. It has been investigated and developed by M. Kimura and G. H. Weiss [3], G. H. Weiss and M. Kimura [6], W. Fleming and C.-H. Su [1], S. Sawyer [5], and others.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. A mathematical analysis of the stepping stone model of genetic correlation

2. The stepping stone model of population structure and the decrease of genetic correlation with distance;Kimura;Genetics,1964

3. Some one-dimensional migration models in population genetics theory

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Measure-valued Markov processes;Lecture Notes in Mathematics;1993

2. A survey of stepping-stone models in population dynamics;Advances in Applied Probability;1986-09

3. A survey of stepping-stone models in population dynamics;Advances in Applied Probability;1986-09

4. Stationary states and their stability of the stepping stone model involving mutation and selection;Probability Theory and Related Fields;1986-03

5. Limit diffusions of some stepping-stone models;Journal of Applied Probability;1983-09