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Exact results for the Moran neutral allele model

Published online by Cambridge University Press:  01 July 2016

F. P. Kelly
Affiliation:
University of Cambridge

Abstract

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Type
I. Invited Review and Research Papers
Copyright
Copyright © Applied Probability Trust 1977 

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References

[1] Crow, J. F. (1972) Darwinian and non-Darwinian evolution. Proc. 6th Berkeley Symp. Math. Statist. Prob. 5, 122.Google Scholar
[2] Crow, J. F. (1973) The dilemma of nearly neutral mutations: how important are they for evolution and human welfare? J. Heredity 63, 306316.CrossRefGoogle ScholarPubMed
[3] Ewens, W. J. (1972) The sampling theory of selectively neutral alleles. Theoret. Pop. Biol. 3, 87112.CrossRefGoogle ScholarPubMed
[4] Ewens, W. J. and Gillespie, J. H. (1974) Some simulation results for the neutral allele model, with interpretations. Theoret. Pop. Biol. 6, 3557.CrossRefGoogle ScholarPubMed
[5] Guess, H. A. and Ewens, W. J. (1972) Theoretical and simulation results relating to the neutral allele theory. Theoret. Pop. Biol. 3, 434447.CrossRefGoogle ScholarPubMed
[6] Karlin, S. and McGregor, J. (1967) The number of mutant forms maintained in a population. Proc. 5th Berkeley Symp. Math. Statist. Prob. 4, 415438.Google Scholar
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[8] Kelly, F. P. (1976) On stochastic population models in genetics. J. Appl. Prob. 13, 127131.CrossRefGoogle Scholar
[9] Kelly, F. P. (1976) The Equilibrium Behaviour of Stochastic Models of Interaction and Flow. Unpublished. Ph.D. Thesis, University of Cambridge.Google Scholar
[10] Kirby, K. (1975) A discussion of simulation results for various aspects of the neutral alleles model. Theoret. Pop. Biol. 7, 277287.CrossRefGoogle ScholarPubMed
[11] Moran, P. A. P. (1958) Random processes in genetics. Proc. Camb. Phil. Soc. 54, 6072.CrossRefGoogle Scholar
[12] Trajstman, A. C. (1974) On a conjecture of G. A. Watterson. Adv. Appl. Prob. 6, 489493.CrossRefGoogle Scholar
[13] Watterson, G. A. (1974) The sampling theory of selectively neutral alleles. Adv. Appl. Prob. 6, 463488.CrossRefGoogle Scholar
[14] Watterson, G. A. (1976) Reversibility and the age of an allele, I. Moran's infinitely many neutral alleles model. Theoret. Pop. Biol. 10, 239253.CrossRefGoogle ScholarPubMed
[15] Watterson, G. A. and Guess, H. A. When is an allele the oldest in a neutral population? Google Scholar
[16] Watterson, G. A. and Guess, H. A. Is the most frequent allele the oldest? Google Scholar

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Exact results for the Moran neutral allele model
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