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A population genetical model for sequence evolution under multiple types of mutation

Published online by Cambridge University Press:  14 April 2009

Masaru Iizuka
Affiliation:
Division of Biometry and Risk Assessment, National Institute of Environmental Health Sciences, Research Triangle Park, North Carolina 27709, U.S.A.

Summary

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DNA sequencing and restriction mapping provide us with information on DNA sequence evolution within populations, from which the phylogenetic relationships among the sequences can be inferred. Mutations such as base substitutions, deletions, insertions and transposable element insertions can be identified in each sequence. Theoretical study of this type of sequence evolution has been initiated recently. In this paper, population genetical models for sequence evolution under multiple types of mutation are developed. Models of infinite population size with neutral mutation, infinite population size with deleterious mutation and finite population size with neutral mutation are considered.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

References

Aquadro, C. F., Deese, S. F., Bland, M. M., Langley, C. H. & Laurie-Ahlberg, C. C. (1986). Molecular population genetics of the alcohol dehydrogenase gene region of Drosophila melanogaster. Genetics 114, 11651190.CrossRefGoogle ScholarPubMed
Ginzburg, L. R., Bingham, P. M. & Yoo, S. (1984). On the theory of speciation induced by transposable elements. Genetics 107, 331341.Google Scholar
Golding, G. B. (1987). The detection of deleterious selection using ancestors inferred from a phylogenetic history. Genetical Research 49, 7182.CrossRefGoogle ScholarPubMed
Golding, G. B., Aquadro, C. F. & Langley, C. H. (1986). Sequence evolution within populations under multiple types of mutation. Proceedings of the National Academy of Sciences, U.S.A. 83, 427–31.CrossRefGoogle ScholarPubMed
Iizuka, M. (1987). Weak convergence of a sequence of stochastic difference equations to a stochastic ordinary differential equation. Journal of Mathematical Biology 25, 643652.CrossRefGoogle ScholarPubMed
John, F. (1982). Partial Differential Equations. Berlin, Heidelberg, New York: Springer.CrossRefGoogle Scholar
Kaplan, N., Darden, T. & Langley, C. H. (1985). Evolution and extinction of transposable elements in Mendelian populations. Genetics 109, 459480.Google Scholar
Kreitman, M. (1983). Nucleotide polymorphism at the alcohol dehydrogenase locus of Drosophila melanogaster. Nature 304, 412417.CrossRefGoogle ScholarPubMed
Langley, C. H., Brookfield, J. F. Y. & Kaplan, N. (1983). Transposable elements in Mendelian populations. Genetics 104, 457–71.CrossRefGoogle ScholarPubMed
Miyashita, N. & Langley, C. H. (1988). Molecular and phenotypic variation of the white locus region in Drosophila melanogaster. Genetics 120, 199212.Google Scholar
Ohta, T. (1984). Population genetics of transposable elements. Journal of Mathematics Applied in Medicine and Biology 1, 1729.CrossRefGoogle ScholarPubMed
Stephan, W. & Langley, C. H. (1989). Molecular genetic variation in the centromeric region of the X chromosome in three Drosophila ananassae populations. I. Contrasts between the vermillion and forked loci. Genetics 121, 8999.Google Scholar
Stroock, D. W. & Varadhan, S. R. S. (1979). Multidimensional Diffusion Processes. Berlin, Heidelberg, New York: Springer.Google Scholar