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Gene Genealogies Within Mutant Allelic Classes

Montgomery Slatkin
Genetics May 1, 1996 vol. 143 no. 1 579-587
Montgomery Slatkin
Department of Integrative Biology, University of California, Berkeley, California 94720-3140
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Abstract

A coalescent theory of the gene genealogy within an allelic class that arises by a unique mutational event is developed and analyzed. To interpret this theory it was necessary to expand on existing theory for populations of varying size. Two features of the gene genealogy—the average pairwise distance and the total tree length—within the mutant class and within the nonmutant class are found. An index, I, is proposed that describes the extent to which a genealogy is similar to one from a population of constant size (for which I = 0) or to a star genealogy (for which I = 1). The value of I is positive in growing populations and is generally positive for the gene genealogy for the mutant class. The value of lis negative for a population decreasing in size and for the nonmutant class, if the mutant arose recently. The results are discussed in the context of the infinite sites model of mutation, which is appropriate for nucleotide sequence data, and the generalized stepwise mutation model, which is appropriate for microsatellite loci. The same genealogical methods are used to find the probability of at least one recombination event between a nucleotide that defines an allelic class and a marker at a nearby linked site.

  • Received September 27, 1995.
  • Accepted February 12, 1996.
  • Copyright © 1996 by the Genetics Society of America
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Volume 143 Issue 1, May 1996

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Gene Genealogies Within Mutant Allelic Classes

Montgomery Slatkin
Genetics May 1, 1996 vol. 143 no. 1 579-587
Montgomery Slatkin
Department of Integrative Biology, University of California, Berkeley, California 94720-3140
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • For correspondence: slatkin@garnet.berkeley.edu
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Citation

Gene Genealogies Within Mutant Allelic Classes

Montgomery Slatkin
Genetics May 1, 1996 vol. 143 no. 1 579-587
Montgomery Slatkin
Department of Integrative Biology, University of California, Berkeley, California 94720-3140
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • For correspondence: slatkin@garnet.berkeley.edu

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The Genetics Society of America (GSA), founded in 1931, is the professional membership organization for scientific researchers and educators in the field of genetics. Our members work to advance knowledge in the basic mechanisms of inheritance, from the molecular to the population level.

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