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A stochastic calculus and its application to some fundamental theorems of natural selection

Published online by Cambridge University Press:  14 July 2016

Charles J. Mode
Charles J. Mode*
Affiliation:
Montana State University, Bozeman, Montana
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Summary

In this paper a stochastic calculus, based on limits in quadratic mean and in probability, is introduced and applied to some fundamental theorems of natural selection. The paper is divided into five principal sections. In Section 2 some elements of stochastic calculus are given, and in Section 3 the stochastic calculus is applied to the haploid case. Section 4 is devoted to the development of an analysis of variance structure applicable to a haploid population, and in Section 5 the results of Sections 3 and 4 are generalized to cover the diploid case. Finally, Section 6 is devoted to two specific examples in which the results of previous sections apply.

Type
Research Papers
Information
Journal of Applied Probability , Volume 3 , Issue 2 , December 1966 , pp. 327 - 352
Copyright
Copyright © Applied Probability Trust 

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