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Evolution in diploid populations by continuity of gametic types

Published online by Cambridge University Press:  01 July 2016

Ilan Eshel
Ilan Eshel*
Affiliation:
Tel-Aviv University
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Abstract

This work studies the long-term effects of mutation and selection pressures on a diploid population embracing many genetic types. A number of results previously established for the simpler asexual case (see [4]) are extended to the cases of random mating and complete inbreeding (Theorem 1), and then, under particular conditions, to certain circumstances of mixed random mating and inbreeding (Theorem 3 and Corollary 1). Several implications for sex and diploidity are drawn from Theorem 2 and its corollaries. Further biological interpretations of these findings, especially of Theorem 2, are given in [3].

Keywords

HAPLOIDDIPLOIDSEXINBREEDINGRANDOM MATINGHETEROZYGOTEMUTATION SELECTIONRATE OF EVOLUTIONDISTRIBUTION OF FITNESSDISTRIBUTION OF MUTATIONASYMPTOTIC DISTRIBUTION OF FITNESSMONOTONE LIKELIHOOD RATIOPÓLYA FUNCTIONSTOTALLY POSITIVE FUNCTIONSSTATISTIC ORDERING OF FITNESS
Type
Research Article
Information
Advances in Applied Probability , Volume 5 , Issue 1 , April 1973 , pp. 55 - 65
Copyright
Copyright © Applied Probability Trust 1973 

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References

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