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Gene diversity in finite populations

Published online by Cambridge University Press:  14 April 2009

Naoyuki Takahata
Affiliation:
National Institute of Genetics, Mishima, Shizuoka-ken, 411, Japan
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DNA sequence comparison among homologous genes sampled at random from one or two populations allows one to estimate the ultimate amount of genetic variation maintained in a population and to construct the gene genealogy within and between populations. Moreover, if we use the finding of the molecular clock (Zuckerkandl & Pauling, 1965), it is also possible to estimate the divergence time of populations examined. Such an estimated divergence time is, however, intricately affected by samples and stochastic forces occurring in the course of evolution.

Type
Short Paper
Copyright
Copyright © Cambridge University Press 1985

References

REFERENCES

Feller, W. (1968). An Introduction to Probability Theory and Its Applications, vol. 1 (3rd ed.). New York: John Wiley.Google Scholar
Felsenstein, J. (1971). The rate of loss of multiple alleles in finite haploid populations. Theoretical Population Biology 2, 391403.CrossRefGoogle ScholarPubMed
Gillespie, J. H. (1984). Molecular evolution over the mutational landscape. Evolution 38 (5), 11161129.CrossRefGoogle ScholarPubMed
Gillespie, J. H. & Langley, C. H. (1979). Are evolutionary rates really variable? Journal of Molecular Evolution 13, 2734.CrossRefGoogle ScholarPubMed
Golding, G. B. & Steobeck, C. (1982). The distribution of nucleotide site differences between two finite sequences. Theoretical Popularion Biology 22, 96107.CrossRefGoogle ScholarPubMed
Griffiths, R. C. (1980). Lines of descent in the diffusion approximation of neutral Wright-Fisher models. Theoretical Population Biology 17, 3750.CrossRefGoogle ScholarPubMed
Hudson, R. R. (1983 a). Testing the constant-rate neutral allele model with protein sequence data. Evolution 37 (1), 203217.CrossRefGoogle ScholarPubMed
Hudson, R. R. (1983 b). Properties of a neutral allele model with intragenic recombination. Theoretical Population Biology 23, 203217.CrossRefGoogle ScholarPubMed
Hudson, R. R. & Golding, G. B. (1984). Variance of sequence divergence. Molecular Biology and Evolution 1 (6), 439441.Google ScholarPubMed
Jukes, T. H. & Cantor, C. H. (1969). Evolution of protein molecules. In Mammalian Protein Metabolism (ed. Munro, H. N.), pp. 21123. New York: Academic Press.CrossRefGoogle Scholar
Kimura, M. (1971). Theoretical foundations of population genetics at the molecular level. Theoretical Population Biology 2, 174208.CrossRefGoogle ScholarPubMed
Kimura, M. (1985). The role of compensatory neutral mutations in molecular evolution. Journal of Genetics. (In the Press.)CrossRefGoogle Scholar
Kimura, M. & Crow, J. F. (1964). The number of alleles that can be maintained in a finite population. Genetics, 49, 725738.CrossRefGoogle Scholar
Kimura, M. & Ohta, T. (1972). On the stochastic model for estimation of mutational distance between homologous proteins. Journal of Molecular Evolution 2, 8790.CrossRefGoogle ScholarPubMed
Kingman, J. F. C. (1982). On the genealogy of large populations. Journal of Applied Probability 19 A, 2743.CrossRefGoogle Scholar
Li, W.-H. (1977). Distribution of nucleotide differences between two randomly chosen cistrons in a finite population. Genetics 85, 331337.CrossRefGoogle Scholar
Li, W.-H., Luo, C.-C. & Wu, C.-I. (1985). Evolution of DNA sequences. In Molecular Evolutionary Genetics (ed. MacIntyre, R. J.). (In the Press.)Google Scholar
Littler, R. A. (1975). Loss of variability in a finite population. Mathematical Biosciences 25, 151163.CrossRefGoogle Scholar
Nei, M. (1975). Molecular Population Genetics and Evolution. New York: North-Holland/ American Elsevier.Google ScholarPubMed
Nei, M. & Li, W.-H. (1971). Mathematical model for studying genetic variation in terms of restriction endonucleases. Proceedings of the National Academy of Sciences, U.S.A. 76, 52695273.CrossRefGoogle Scholar
Stephens, J. C. & Nei, M. (1985). Phylogenetic analysis of polymorphic DNA sequences at the Adh locus in Drosophila melanogaster and its sibling species. Journal of Molecular Evolution. (Submitted.)Google ScholarPubMed
Tajima, F. (1983). Evolutionary relationship of DNA sequences in finite populations. Genetics 105, 437460.CrossRefGoogle ScholarPubMed
Takahata, N. (1982). Linkage disequilibrium, genetic distance and evolutionary distance under a general model of linked genes or a part of the genome. Genetical Research 39, 6377.CrossRefGoogle Scholar
Takahata, N. & Nei, M. (1985). Gene genealogy and variance of interpopulational nucleotide differences. Genetics. 110, 325344.CrossRefGoogle ScholarPubMed
Tavaré, S. (1984). Line-of-descent and genealogical processes, and their applications in population genetics model. Theoretical Population Biology 26 (2), 119164.CrossRefGoogle Scholar
Watterson, G. A. (1975). On the number of segregating sites in genetical models without recombination. Theoretical Population Biology 7, 256276.CrossRefGoogle ScholarPubMed
Watterson, G. A. (1984). Lines of descent and the coalescent. Theoretical Population Biology 26, 7792.CrossRefGoogle Scholar
Zuckerkandle, E. & Pauling, L. (1965). Evolutionary distance and convergence in proteins. In Evolving Genes and Proteins (ed. Bryson, V. and Vogel, H. J.), pp. 97166. New York: Academic Press.CrossRefGoogle Scholar