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Ergodic properties of the stepping stone model

Published online by Cambridge University Press:  22 January 2016

Seiichi Itatsu
Seiichi Itatsu*
Affiliation:
Department of Mathematics, Faculty of Science, Shizuoka University, Shizuoka, 422, Japan
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The purpose of this paper is to discuss some ergodic properties of the stepping stone model proposed by Kimura, M. [4] and developed by Weiss, G.H. and Kimura, M. [12]. Our model to be discussed in this paper involves selection in addition to mutation and migration which are dealt with in [4], [12]. Because of the additional factor selection, the stochastic process describing our model becomes complicated and presents particularly interesting profound structure of the random phenomena in question.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 114 , June 1989 , pp. 143 - 163
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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