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Evolution processes with continuity of types

Published online by Cambridge University Press:  01 July 2016

Ilan Eshel
Ilan Eshel*
Affiliation:
Stanford University
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Abstract

The objective of this work is to study the long range evolutionary traits in a population with an infinite number of types; we are especially interested in the asymptotic rate of evolution, variance and type-distribution. In this paper we concentrate on an asexual population with the same probabilistic mutation force acting over all types in the population.

Most results are proved under the assumption that the mutation effect is also unchanged in time; some are extended to more general cases with time-changed distribution of mutation.

Keywords

EVOLUTIONMUTATIONSELECTIONMUTATION-SELECTION BALANCERATE OF EVOLUTIONTIME HOMOGENEOUS PROCESS OF EVOLUTIONPERFECT PROCESS OF EVOLUTIONSEMI-MARKOV PROCESS OF EVOLUTIONDISTRIBUTION OF FITNESSDISTRIBUTION OF MUTATIONASYMPTOTIC DISTRIBUTION OF FITNESS
Type
Research Article
Information
Advances in Applied Probability , Volume 4 , Issue 3 , December 1972 , pp. 475 - 507
Copyright
Copyright © Applied Probability Trust 1972 

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