Population Genetics: Multilocus

Abstract

Multilocus population genetics is the study of the distribution and dynamics of genetic variation at several loci in biological populations.

Keywords: multilocus selection; linkage equilibrium; linkage disequilibrium; epistasis haplotype

References

Andalfotto P and Przeworski M (2000) A genome‐wide departure from the standard neutral model in natural populations of Drosophila. Genetics 156: 257–268.

Barton NH and Turelli M (1991) Natural and sexual selection on many loci. Genetics 127: 229–255.

Bulmer M (1980) The Mathematical Theory of Quantitative Genetics. NY, Oxford University Press.

Christiansen FB (1991) Simplified models for viability selection at multiple loci. Theoretical Population Biology 37: 39–54.

Feldman MW, Franklin I and Thomson G (1974) Selection in complex genetic systems. I. The symmetric equilibria of the three‐locus symmetric viability model. Genetics 76: 135–162.

Fisher RA (1918) The correlation between relatives on the supposition of Mendelian inheritance. Transactions of the Royal Society of Edinburgh 52: 399–433.

Gavrilets S (1997) Evolution and speciation on holey adaptive landscapes. Trends in Ecology and Evolution 12: 307–312.

Gavrilets S and de Jong G (1993) Pleiotropic models of polygenic variation, stabilizing selection, and epistasis. Genetics 134: 609–625.

Hastings A (1981) Stable cycling in discrete time genetic models. Proceedings of the National Academy of Sciences of the USA 78: 7224–7225.

Hill WG and Robertson A (1968) Linkage disequilibrium in finite populations. Theoretical and Applied Genetics 38: 226–231.

Karlin S (1975) General two‐locus selection models: some objectives, results and interpretations. Theoretical Population Biology 7: 364–398.

Kauffman SA (1993) The Origins of Order. NY: Oxford University Press.

Kimura M (1965) Attainment of quasi‐linkage equilibrium when gene frequencies are changing by natural selection. Genetics 52: 875–890.

Kirkpatrick M, Johnson T and Barton NH (2002) General models of multilocus evolution. Genetics 161: 1727–1750.

Lewontin RC and Kojima K (1960) The evolutionary dynamics of complex polymorphisms. Evolution 14: 458–472.

Lynch M and Walsh JB (1997) Genetics and Analysis of Quantitative Traits. Sunderland MA: Sinauer.

Peterson AC, DiRienzo A, Lehesjoki A et al. (1995) The distribution of linkage disequilibrium over anonymous genome regions. Human Molecular Genetics 4: 887–894.

Reich DE, Cargill M, Bolk S et al. (2001) Linkage disequilibrium in the human genome. Nature 411: 199–204.

Reidys C, Forst CV and Schuster P (2001) Replication and mutation on neutral networks. Bulletin of Mathematical Biology 63: 57–94.

Shpak M and Kondrashov AS (1999) The applicability of the hypergeometric phenotypic model to haploid and diploid populations. Evolution 53: 600–604.

Shpak M, Stadler PF, Wagner GP and Hermisson J (2004) Aggregation of variables and system decomposition: applications to fitness landscape analysis. Theory in Biosciences 123: 33–68.

Slatkin M (1972) On treating the chromosome as the unit of selection. Genetics 72: 157–168.

Stadler PF (1996) Landscapes and their correlation functions. Journal of Mathematical Chemistry 20: 1–45.

Turelli M (1984) Heritable genetic variation via mutation selection balance: Lerch's zeta meets the abdominal bristle. Theoretical Population Biology 25: 138–193.

Turelli M and Barton NH (1990) Dynamics of polygenic characters under selection. Theoretical Population Biology 38: 1–57.

Turelli M and Barton NH (1994) Genetic and statistical analysis of strong selection on polygenic traits: what, me normal? Genetics 138: 913–941.

Weinberger ED (1991) Fourier and Taylor series on fitness landscapes. Biological Cybernetics 65: 321–330.

Zhivotovsky L and Gavrilets S (1991) Quantitative variability and multilocus polymorphism under epistatic selection. Theoretical Population Biology 42: 254–283.

Further Reading

Barton NH (2000) Estimating multilocus linkage disequilibrium. Heredity 84: 373–389.

Buerger R (2000) The Mathematical Theory of Selection, Recombination, and Mutation. New York: Wiley.

Christiansen FB (1999) Population Genetics at Multiple Loci. NY: Wiley.

Crow JF and Kimura M (1970) Introduction to Population Genetics Theory. NY: Harper and Row.

Ewens WJ (2004) Mathematical Population Genetics. NY: Springer.

Hartl DL and Clark AG (1997) Principles of Population Genetics. Sunderland, MA: Sinauer.

Lewontin RC (1974) The Genetic Basis of Evolutionary Change. New York: Columbia University Press.

Nagylaki T (1992) Introduction to Theoretical Population Genetics. New York: Springer.

Rice SH (2004) Evolutionary Theory – Mathematical and Conceptual Foundations. Sunderland MA: Sinauer.

Svirezhev IU and Passekov VP (1990) Fundamentals of Mathematical Evolutionary Genetics. Dodrecht: Kluwer Academic Publishers.

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Shpak, Max, and Gavrilets, Sergey(Jan 2006) Population Genetics: Multilocus. In: eLS. John Wiley & Sons Ltd, Chichester. http://www.els.net [doi: 10.1038/npg.els.0004176]