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Substitution times for mutant nucleotides

Published online by Cambridge University Press:  14 July 2016

G. A. Watterson
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Abstract

It is shown that, for one model of genetic evolution, the times at which mutations at nucleotide sites become fixed in a population tend to cluster together rather than behave as a Poisson process.

Keywords

MORAN'S GENETIC MODELINFINITELY MANY SITESCLUSTER POINT PROCESSTIME REVERSALSUBSTITUTION TIMESMUTANT NUCLEOTIDES
Type
Part 1 — Genetics
Information
Journal of Applied Probability , Volume 19 , Issue A , 1982 , pp. 59 - 70
Copyright
Copyright © 1982 Applied Probability Trust 

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References

Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Wiley, New York.Google Scholar
Gladstien, K. (1978) The characteristic values and vectors for a class of stochastic matrices arising in genetics. SIAM J. Appl. Math. 34, 630–642.Google Scholar
Kelly, F. P. (1979) Reversibility and Stochastic Networks. Wiley, New York.Google Scholar
Kimura, M. (1968) Evolutionary rate of the molecular level. Nature (London) 217, 624–626.Google Scholar
Kimura, M. (1970) The length of time required for a selectively neutral mutant to reach fixation through random frequency drift in a finite population. Genet. Res., Camb. , 15, 131–133.Google Scholar
Moran, P. A. P. (1958) Random processes in genetics. Proc. Camb. Phil. Soc. 54, 60–71.CrossRefGoogle Scholar
Nei, M. (1969) Gene duplication and nucleotide substitution in evolution. Nature (London) 221, 40–42.CrossRefGoogle ScholarPubMed