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Transient distribution of the number of segregating sites in a neutral infinite-sites model with no recombination

Published online by Cambridge University Press:  14 July 2016

R. C. Griffiths
R. C. Griffiths*
Affiliation:
Monash University
*
∗Postal address: Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia.
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Abstract

The transient distribution of the number of segregating sites in a sample from a large population of 2N genes is found. Segregating sites are split into those in common with the sites segregating in the initial population and those segregating due to new mutations. The waiting time distribution for a population to lose all of its initial sites is also studied. A neutral infinite-sites model with no recombination is used. This paper extends the work of Watterson (1975), from the stationary case; and of Li (1977) from the transient distribution in a sample of 2.

Keywords

POPULATION GENETICSINFINITE-SITES MODELMOLECULAR POPULATION GENETICS
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 1 , March 1981 , pp. 42 - 51
Copyright
Copyright © Applied Probability Trust 

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Footnotes

Research carried out while the author was visiting the Center for Demographic and Population Genetics, University of Texas Health Science Center, Houston, Texas.

References

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