• We are sorry, but NCBI web applications do not support your browser and may not function properly. More information
Logo of geneticsGeneticsCurrent IssueInformation for AuthorsEditorial BoardSubscribeSubmit a Manuscript
Genetics. Aug 2002; 161(4): 1727–1750.
PMCID: PMC1462196

General models of multilocus evolution.

Abstract

In 1991, Barton and Turelli developed recursions to describe the evolution of multilocus systems under arbitrary forms of selection. This article generalizes their approach to allow for arbitrary modes of inheritance, including diploidy, polyploidy, sex linkage, cytoplasmic inheritance, and genomic imprinting. The framework is also extended to allow for other deterministic evolutionary forces, including migration and mutation. Exact recursions that fully describe the state of the population are presented; these are implemented in a computer algebra package (available on the Web at http://helios.bto.ed.ac.uk/evolgen). Despite the generality of our framework, it can describe evolutionary dynamics exactly by just two equations. These recursions can be further simplified using a "quasi-linkage equilibrium" (QLE) approximation. We illustrate the methods by finding the effect of natural selection, sexual selection, mutation, and migration on the genetic composition of a population.

Full Text

The Full Text of this article is available as a PDF (257K).

Selected References

These references are in PubMed. This may not be the complete list of references from this article.
  • Hill WG, Robertson A. The effect of linkage on limits to artificial selection. Genet Res. 1966 Dec;8(3):269–294. [PubMed]
  • Kimura M. Attainment of Quasi Linkage Equilibrium When Gene Frequencies Are Changing by Natural Selection. Genetics. 1965 Nov;52(5):875–890. [PMC free article] [PubMed]
  • Kirkpatrick M, Barton NH. The strength of indirect selection on female mating preferences. Proc Natl Acad Sci U S A. 1997 Feb 18;94(4):1282–1286. [PMC free article] [PubMed]
  • Kirkpatrick M, Servedio MR. The reinforcement of mating preferences on an island. Genetics. 1999 Feb;151(2):865–884. [PMC free article] [PubMed]
  • Lande R. Models of speciation by sexual selection on polygenic traits. Proc Natl Acad Sci U S A. 1981 Jun;78(6):3721–3725. [PMC free article] [PubMed]
  • Nagylaki T. The evolution of multilocus systems under weak selection. Genetics. 1993 Jun;134(2):627–647. [PMC free article] [PubMed]
  • Baake E. Mutation and recombination with tight linkage. J Math Biol. 2001 May;42(5):455–488. [PubMed]
  • Nagylaki T, Hofbauer J, Brunovský P. Convergence of multilocus systems under weak epistasis or weak selection. J Math Biol. 1999 Feb;38(2):103–133. [PubMed]
  • Barton NH. The effects of linkage and density-dependent regulation on gene flow. Heredity (Edinb) 1986 Dec;57(Pt 3):415–426. [PubMed]
  • Price GR. Selection and covariance. Nature. 1970 Aug 1;227(5257):520–521. [PubMed]
  • Barton NH. A general model for the evolution of recombination. Genet Res. 1995 Apr;65(2):123–145. [PubMed]
  • Barton NH. Estimating multilocus linkage disequilibria. Heredity (Edinb) 2000 Mar;84(Pt 3):373–389. [PubMed]
  • Slatkin M. On treating the chromosome as the unit of selection. Genetics. 1972 Sep;72(1):157–168. [PMC free article] [PubMed]
  • Barton NH, Shpak M. The stability of symmetric solutions to polygenic models. Theor Popul Biol. 2000 May;57(3):249–263. [PubMed]
  • Sniegowski PD, Gerrish PJ, Johnson T, Shaver A. The evolution of mutation rates: separating causes from consequences. Bioessays. 2000 Dec;22(12):1057–1066. [PubMed]
  • Barton NH, Turelli M. Adaptive landscapes, genetic distance and the evolution of quantitative characters. Genet Res. 1987 Apr;49(2):157–173. [PubMed]
  • Barton NH, Turelli M. Natural and sexual selection on many loci. Genetics. 1991 Jan;127(1):229–255. [PMC free article] [PubMed]
  • Turelli M, Barton NH. Genetic and statistical analyses of strong selection on polygenic traits: what, me normal? Genetics. 1994 Nov;138(3):913–941. [PMC free article] [PubMed]
  • Bürger R. Moments, cumulants, and polygenic dynamics. J Math Biol. 1991;30(2):199–213. [PubMed]
  • Dawson KJ. The dynamics of infinitesimally rare alleles, applied to the evolution of mutation rates and the expression of deleterious mutations. Theor Popul Biol. 1999 Feb;55(1):1–22. [PubMed]
  • Dawson KJ. The decay of linkage disequilibrium under random union of gametes: how to calculate Bennett's principal components. Theor Popul Biol. 2000 Aug;58(1):1–20. [PubMed]
  • Fisher WJ. THE BALANCE, THE STEELYARD AND THE CONCEPT OF FORCE. Science. 1918 Nov 1;48(1244):427–433. [PubMed]

Articles from Genetics are provided here courtesy of Genetics Society of America

Formats:

Related citations in PubMed

See reviews...See all...

Cited by other articles in PMC

See all...

Links

  • PubMed
    PubMed
    PubMed citations for these articles

Recent Activity

Your browsing activity is empty.

Activity recording is turned off.

Turn recording back on

See more...