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. 1998 Jul;149(3):1599–1604. doi: 10.1093/genetics/149.3.1599

The expected number of heterozygous sites in a subdivided population.

T Nagylaki 1
PMCID: PMC1460216  PMID: 9649546

Abstract

A simple, exact formula is derived for the expected number of heterozygous sites per individual at equilibrium in a subdivided population. The model of infinitely many neutral sites is posited; the linkage map is arbitrary. The monoecious, diploid population is subdivided into a finite number of panmictic colonies that exchange gametes. The backward migration matrix is arbitrary, but time independent and ergodic (i.e., irreducible and aperiodic). With suitable weighting, the expected number of heterozygous sites is 4Neu, where Ne denotes the migration effective population number and u designates the total mutation rate per gene (or DNA sequence). For diploid migration, this formula is a good approximation if Ne >> 1.

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Selected References

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  1. Caballero A. Developments in the prediction of effective population size. Heredity (Edinb) 1994 Dec;73(Pt 6):657–679. doi: 10.1038/hdy.1994.174. [DOI] [PubMed] [Google Scholar]
  2. Hey J. A multi-dimensional coalescent process applied to multi-allelic selection models and migration models. Theor Popul Biol. 1991 Feb;39(1):30–48. doi: 10.1016/0040-5809(91)90039-i. [DOI] [PubMed] [Google Scholar]
  3. Kimura M. Evolutionary rate at the molecular level. Nature. 1968 Feb 17;217(5129):624–626. doi: 10.1038/217624a0. [DOI] [PubMed] [Google Scholar]
  4. Nagylaki T. Geographical invariance in population genetics. J Theor Biol. 1982 Nov 7;99(1):159–172. doi: 10.1016/0022-5193(82)90396-4. [DOI] [PubMed] [Google Scholar]
  5. Nagylaki T. Geographical variation in a quantitative character. Genetics. 1994 Jan;136(1):361–381. doi: 10.1093/genetics/136.1.361. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Nagylaki T. Homozygosity, effective number of alleles, and interdeme differentiation in subdivided populations. Proc Natl Acad Sci U S A. 1985 Dec;82(24):8611–8613. doi: 10.1073/pnas.82.24.8611. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Nagylaki T. The inbreeding effective population number in dioecious populations. Genetics. 1995 Jan;139(1):473–485. doi: 10.1093/genetics/139.1.473. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Nagylaki T. The strong-migration limit in geographically structured populations. J Math Biol. 1980 Apr;9(2):101–114. doi: 10.1007/BF00275916. [DOI] [PubMed] [Google Scholar]
  9. Nath H. B., Griffiths R. C. The coalescent in two colonies with symmetric migration. J Math Biol. 1993;31(8):841–851. doi: 10.1007/BF00168049. [DOI] [PubMed] [Google Scholar]
  10. Nei M., Takahata N. Effective population size, genetic diversity, and coalescence time in subdivided populations. J Mol Evol. 1993 Sep;37(3):240–244. doi: 10.1007/BF00175500. [DOI] [PubMed] [Google Scholar]
  11. Nordborg M. Structured coalescent processes on different time scales. Genetics. 1997 Aug;146(4):1501–1514. doi: 10.1093/genetics/146.4.1501. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Notohara M. The coalescent and the genealogical process in geographically structured population. J Math Biol. 1990;29(1):59–75. doi: 10.1007/BF00173909. [DOI] [PubMed] [Google Scholar]
  13. Notohara M. The number of segregating sites in a sample of DNA sequences from a geographically structured population. J Math Biol. 1997 Dec;36(2):188–200. doi: 10.1007/s002850050097. [DOI] [PubMed] [Google Scholar]
  14. Slatkin M. The average number of sites separating DNA sequences drawn from a subdivided population. Theor Popul Biol. 1987 Aug;32(1):42–49. doi: 10.1016/0040-5809(87)90038-4. [DOI] [PubMed] [Google Scholar]
  15. Strobeck C. Average number of nucleotide differences in a sample from a single subpopulation: a test for population subdivision. Genetics. 1987 Sep;117(1):149–153. doi: 10.1093/genetics/117.1.149. [DOI] [PMC free article] [PubMed] [Google Scholar]
  16. Wang J. Effective size and F-statistics of subdivided populations. I. Monoecious species with partial selfing. Genetics. 1997 Aug;146(4):1453–1463. doi: 10.1093/genetics/146.4.1453. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Wang J. Effective size and F-statistics of subdivided populations. II. Dioecious species. Genetics. 1997 Aug;146(4):1465–1474. doi: 10.1093/genetics/146.4.1465. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. Watterson G. A. On the number of segregating sites in genetical models without recombination. Theor Popul Biol. 1975 Apr;7(2):256–276. doi: 10.1016/0040-5809(75)90020-9. [DOI] [PubMed] [Google Scholar]
  19. Whitlock M. C., Barton N. H. The effective size of a subdivided population. Genetics. 1997 May;146(1):427–441. doi: 10.1093/genetics/146.1.427. [DOI] [PMC free article] [PubMed] [Google Scholar]

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