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Haplotypes: the joint distribution of alleles at linked loci

Part of: Markov processes Stochastic processes

Published online by Cambridge University Press:  14 July 2016

Paul Fearnhead
Paul Fearnhead*
Affiliation:
University of Oxford
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Abstract

We prove a result concerning the joint distribution of alleles at linked loci on a chromosome drawn from the population at stationarity. For a neutral locus, the allele is a draw from the stationary distribution of the mutation process. Furthermore, this allele is independent of the alleles at different loci on any chromosomes in the population.

Keywords

Ancestral influence graphancestral selection graphmost recent common ancestorrecombinationselectionstationary distribution

MSC classification

Primary: 60J05: Discrete-time Markov processes on general state spaces 92D10: Genetics
Secondary: 60G10: Stationary processes
Type
Short Communications
Information
Journal of Applied Probability , Volume 40 , Issue 2 , June 2003 , pp. 505 - 512
Copyright
Copyright © Applied Probability Trust 2003 

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References

Donnelly, P., and Kurtz, T. (1999). Genealogical processes for Fleming-Viot models with selection and recombination. Ann. Appl. Prob. 9, 1091–1148.Google Scholar
Griffiths, R. C., and Marjoram, P. (1996). Ancestral inference from samples of DNA sequences with recombination. J. Comput. Biol. 3, 479–502.Google Scholar
Griffiths, R. C., and Marjoram, P. (1997). An ancestral recombination graph. In Progress in Population Genetics and Human Evolution (Math. Appl. 87), eds Donnelly, P. and Tavaré, S., Springer, New York, pp. 257–270.CrossRefGoogle Scholar
Griffiths, R. C. and Tavaré, S. (1994). Ancestral inference in population genetics. Statist. Sci. 9, 307–319.CrossRefGoogle Scholar
Harding, R. M. et al. (1997). Archaic African and Asian lineages in the genetic ancestry of modern humans. Amer. J. Human Genetics 60, 772–789.Google Scholar
Hudson, R. R., Kreitman, M. and Aguadé, M. (1987). A test for neutral molecular evolution based on nucleotide data. Genetics 116, 153–159.Google Scholar
Krone, S. M., and Neuhauser, C. (1997). Ancestral processes with selection. Theoret. Pop. Biol. 51, 210–237.Google Scholar
Kuhner, M. K., Yamato, J., and Felsenstein, J. (2000). Maximum likelihood estimation of recombination rates from population data. Genetics 156, 1393–1401.Google Scholar
Neuhauser, C., and Krone, S. M. (1997). The genealogy of samples in models with selection. Genetics 145, 519–534.Google Scholar
Norris, J. R. (1997). Markov Chains. Cambridge University Press.Google Scholar
Przeworski, M., Charlesworth, B., and Wall, J. D. (1999). Genealogies and weak purifying selection. Molec. Biol. Evolution 16, 246–252.Google Scholar
Risch, N., and Merikangas, K. (1996). The future of genetics studies of complex human diseases. Science 273, 1516–1517.Google Scholar
Slade, P. F. (2000). Simulation of selected genealogies. Theoret. Pop. Biol. 57, 35–49.Google Scholar
Wright, S. (1949). Adaption and selection. In Genetics, Paleontology and Evolution, eds Jepson, G. L., Simpson, G. G. and Mayr, E., Princeton University Press, pp. 365–389.Google Scholar