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
Max Shpak, University of Tennessee, Knoxville, Tennessee, USA
Sergey Gavrilets, University of Tennessee, Knoxville, Tennessee, USA
Published online: January 2006
DOI: 10.1038/npg.els.0004176
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: 257268. | |
| Barton NH and Turelli M (1991) Natural and sexual selection on many loci. Genetics 127: 229255. | |
| book 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: 3954. | |
| 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: 135162. | |
| Fisher RA (1918) The correlation between relatives on the supposition of Mendelian inheritance. Transactions of the Royal Society of Edinburgh 52: 399433. | |
| Gavrilets S (1997) Evolution and speciation on holey adaptive landscapes. Trends in Ecology and Evolution 12: 307312. | |
| Gavrilets S and de Jong G (1993) Pleiotropic models of polygenic variation, stabilizing selection, and epistasis. Genetics 134: 609625. | |
| Hastings A (1981) Stable cycling in discrete time genetic models. Proceedings of the National Academy of Sciences of the USA 78: 72247225. | |
| Hill WG and Robertson A (1968) Linkage disequilibrium in finite populations. Theoretical and Applied Genetics 38: 226231. | |
| Karlin S (1975) General two-locus selection models: some objectives, results and interpretations. Theoretical Population Biology 7: 364398. | |
| book 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: 875890. | |
| Kirkpatrick M, Johnson T and Barton NH (2002) General models of multilocus evolution. Genetics 161: 17271750. | |
| Lewontin RC and Kojima K (1960) The evolutionary dynamics of complex polymorphisms. Evolution 14: 458472. | |
| book 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: 887894. | |
| Reich DE, Cargill M, Bolk S et al. (2001) Linkage disequilibrium in the human genome. Nature 411: 199204. | |
| Reidys C, Forst CV and Schuster P (2001) Replication and mutation on neutral networks. Bulletin of Mathematical Biology 63: 5794. | |
| Shpak M and Kondrashov AS (1999) The applicability of the hypergeometric phenotypic model to haploid and diploid populations. Evolution 53: 600604. | |
| 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: 3368. | |
| Slatkin M (1972) On treating the chromosome as the unit of selection. Genetics 72: 157168. | |
| Stadler PF (1996) Landscapes and their correlation functions. Journal of Mathematical Chemistry 20: 145. | |
| Turelli M (1984) Heritable genetic variation via mutation selection balance: Lerch's zeta meets the abdominal bristle. Theoretical Population Biology 25: 138193. | |
| Turelli M and Barton NH (1990) Dynamics of polygenic characters under selection. Theoretical Population Biology 38: 157. | |
| Turelli M and Barton NH (1994) Genetic and statistical analysis of strong selection on polygenic traits: what, me normal? Genetics 138: 913941. | |
| Weinberger ED (1991) Fourier and Taylor series on fitness landscapes. Biological Cybernetics 65: 321330. | |
| Zhivotovsky L and Gavrilets S (1991) Quantitative variability and multilocus polymorphism under epistatic selection. Theoretical Population Biology 42: 254283. | |
| Further Reading | |
| Barton NH (2000) Estimating multilocus linkage disequilibrium. Heredity 84: 373389. | |
| book Buerger R (2000) "The Mathematical Theory of Selection, Recombination, and Mutation". New York: Wiley. | |
| book Christiansen FB (1999) Population Genetics at Multiple Loci. NY: Wiley. | |
| book Crow JF and Kimura M (1970) Introduction to Population Genetics Theory. NY: Harper and Row. | |
| book Ewens WJ (2004) Mathematical Population Genetics. NY: Springer. | |
| book Hartl DL and Clark AG (1997) Principles of Population Genetics. Sunderland, MA: Sinauer. | |
| book Lewontin RC (1974) The Genetic Basis of Evolutionary Change. New York: Columbia University Press. | |
| book Nagylaki T (1992) Introduction to Theoretical Population Genetics. New York: Springer. | |
| book Rice SH (2004) Evolutionary Theory Mathematical and Conceptual Foundations. Sunderland MA: Sinauer. | |
| book Svirezhev IU and Passekov VP (1990) Fundamentals of Mathematical Evolutionary Genetics. Dodrecht: Kluwer Academic Publishers. | |