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Proc Natl Acad Sci U S A. Apr 1990; 87(7): 2419–2423.
PMCID: PMC53700

A simple genealogical structure of strongly balanced allelic lines and trans-species evolution of polymorphism.

Abstract

Different alleles undergoing strong symmetric balancing selection show a simple genealogical structure (allelic genealogy), similar to the gene genealogy described by the coalescence process for a sample of neutral genes randomly drawn from a panmictic population at equilibrium. The only difference between the two genealogies lies in the different time scales. An approximate scaling factor for allelic genealogy relative to that of neutral gene genealogy is [square root of S/(2M)].[In[S/(16 pi M2)]]-3/2, where M = Nu and S = 2Ns (N, effective population size; u, mutation rate to selected alleles per locus per generation; s, selection coefficient). The larger the value of square root of S/M (greater than or equal to 100), the larger the scaling factor. These findings, supported by simulation results, allow one to apply the theoretical results of the coalescence process directly to the allelic genealogy. Combined with the trans-species evolution of the major histocompatibility complex polymorphism for which balancing selection is believed to be responsible, allelic genealogy predicts that the number of breeding individuals in the human population could not be as small as 50-100 at any time of its evolutionary history. The analysis appears to contradict the founder principle as being important in recent mammalian evolution.

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Selected References

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  • Kimura M. Evolutionary rate at the molecular level. Nature. 1968 Feb 17;217(5129):624–626. [PubMed]
  • Tavaré S. Line-of-descent and genealogical processes, and their applications in population genetics models. Theor Popul Biol. 1984 Oct;26(2):119–164. [PubMed]
  • Griffiths RC. Lines of descent in the diffusion approximation of neutral Wright-Fisher models. Theor Popul Biol. 1980 Feb;17(1):37–50. [PubMed]
  • Hughes AL, Nei M. Pattern of nucleotide substitution at major histocompatibility complex class I loci reveals overdominant selection. Nature. 1988 Sep 8;335(6186):167–170. [PubMed]
  • Figueroa F, Günther E, Klein J. MHC polymorphism pre-dating speciation. Nature. 1988 Sep 15;335(6187):265–267. [PubMed]
  • Maruyama T, Nei M. Genetic variability maintained by mutation and overdominant selection in finite populations. Genetics. 1981 Jun;98(2):441–459. [PMC free article] [PubMed]
  • KIMURA M, CROW JF. THE NUMBER OF ALLELES THAT CAN BE MAINTAINED IN A FINITE POPULATION. Genetics. 1964 Apr;49:725–738. [PMC free article] [PubMed]
  • Crow JF. Twenty-five years ago in genetics: the infinite allele model. Genetics. 1989 Apr;121(4):631–634. [PMC free article] [PubMed]
  • Yokoyama S, Nei M. Population dynamics of sex-determining alleles in honey bees and self-incompatibility alleles in plants. Genetics. 1979 Mar;91(3):609–626. [PMC free article] [PubMed]
  • Takahata N, Nei M. Gene genealogy and variance of interpopulational nucleotide differences. Genetics. 1985 Jun;110(2):325–344. [PMC free article] [PubMed]
  • Hayashida H, Miyata T. Unusual evolutionary conservation and frequent DNA segment exchange in class I genes of the major histocompatibility complex. Proc Natl Acad Sci U S A. 1983 May;80(9):2671–2675. [PMC free article] [PubMed]
  • Ewens WJ. The sampling theory of selectively neutral alleles. Theor Popul Biol. 1972 Mar;3(1):87–112. [PubMed]
  • O'Brien SJ, Roelke ME, Marker L, Newman A, Winkler CA, Meltzer D, Colly L, Evermann JF, Bush M, Wildt DE. Genetic basis for species vulnerability in the cheetah. Science. 1985 Mar 22;227(4693):1428–1434. [PubMed]
  • Klein J, Kasahara M, Gutknecht J, Figueroa F. Origin and function of Mhc polymorphism. Chem Immunol. 1990;49:35–50. [PubMed]
  • Takahata N. Gene genealogy in three related populations: consistency probability between gene and population trees. Genetics. 1989 Aug;122(4):957–966. [PMC free article] [PubMed]
  • Wu CI, Li WH. Evidence for higher rates of nucleotide substitution in rodents than in man. Proc Natl Acad Sci U S A. 1985 Mar;82(6):1741–1745. [PMC free article] [PubMed]

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