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

1 October 1981

journal article
research article
Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal

Vol. 83, 37-51
https://doi.org/10.1017/s0027763000019413

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.

Keywords

This publication has 3 references indexed in Scilit:

Results for the Stepping Stone Model for Migration in Population Genetics
The Annals of Probability, 1976
Some one-dimensional migration models in population genetics theory
Theoretical Population Biology, 1974
A mathematical analysis of the stepping stone model of genetic correlation
Journal of Applied Probability, 1965