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A Simple Model for the Balance between Selection and Mutation

J. F. C. Kingman
Journal of Applied Probability
Vol. 15, No. 1 (Mar., 1978), pp. 1-12
DOI: 10.2307/3213231
Stable URL: http://www.jstor.org/stable/3213231
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Simple Model for the Balance between Selection and Mutation
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Abstract

A model for the variation in time of the fitness distribution in a large haploid population is shown to have simple limiting properties which can be elucidated in fairly explicit terms. The novel feature is that mutation is not assumed to cause a small perturbation in fitness but to bring down the evolutionary 'house of cards'. A threshold phenomenon appears: if a certain inequality holds the limiting distribution is a skewed version of the mutant fitness distribution, but otherwise an atom of probability builds up at the upper limit of fitness.

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