Literature DB >> 8207349

Maintenance of multilocus variability under strong stabilizing selection.

S Gavrilets1, A Hastings.   

Abstract

We present exact conditions for stability of monomorphic equilibria in a general multilocus multiallele system and of specific polymorphic equilibria in general one- and two-locus multiallele systems. We show how these exact results on one- and two-locus systems can be used in approximate analysis of polymorphic equilibria in multilocus systems under selection strong relative to recombination. We determine conditions for existence and stability of polymorphic equilibria in specific models of quadratic stabilizing selection on additive polygenic traits.

Mesh:

Year:  1994        PMID: 8207349     DOI: 10.1007/bf00160162

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  24 in total

1.  Genotype-environment interactions and the maintenance of polygenic variation.

Authors:  J H Gillespie; M Turelli
Journal:  Genetics       Date:  1989-01       Impact factor: 4.562

2.  Unexpected behavior in two locus genetic systems: an analysis of marginal underdominance at a stable equilibrium.

Authors:  A Hastings
Journal:  Genetics       Date:  1982-09       Impact factor: 4.562

3.  The maintenance of genetic variability by mutation in a polygenic character with linked loci.

Authors:  R Lande
Journal:  Genet Res       Date:  1975-12       Impact factor: 1.588

4.  Genotypic variation for a quantitative character maintained under stabilizing selection without mutations: epistasis.

Authors:  A Gimelfarb
Journal:  Genetics       Date:  1989-09       Impact factor: 4.562

5.  MULTIPLE EQUILIBRIA AND MAINTENANCE OF ADDITIVE GENETIC VARIANCE IN A MODEL OF PLEIOTROPY.

Authors:  Alan Hastings; Carole L Hom
Journal:  Evolution       Date:  1990-08       Impact factor: 3.694

6.  The maintenance of polygenic variation through a balance between mutation and stabilizing selection.

Authors:  N H Barton
Journal:  Genet Res       Date:  1986-06       Impact factor: 1.588

7.  The maintenance of the genetic variability of polygenic characters by heterozygous advantage.

Authors:  M G Bulmer
Journal:  Genet Res       Date:  1973-08       Impact factor: 1.588

8.  Additive variation maintained under stabilizing selection: a two-locus model of pleiotropy for two quantitative characters.

Authors:  A Gimelfarb
Journal:  Genetics       Date:  1986-03       Impact factor: 4.562

9.  The Isolation of Polygenic Factors Controlling Bristle Score in Drosophila Melanogaster. II. Distribution of Third Chromosome Bristle Effects within Chromosome Sections.

Authors:  A E Shrimpton; A Robertson
Journal:  Genetics       Date:  1988-03       Impact factor: 4.562

10.  Pleiotropic models of polygenic variation, stabilizing selection, and epistasis.

Authors:  S Gavrilets; G de Jong
Journal:  Genetics       Date:  1993-06       Impact factor: 4.562

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  4 in total

1.  Polygenic variation maintained by balancing selection: pleiotropy, sex-dependent allelic effects and G x E interactions.

Authors:  Michael Turelli; N H Barton
Journal:  Genetics       Date:  2004-02       Impact factor: 4.562

2.  Selective sweeps in multilocus models of quantitative traits.

Authors:  Pavlos Pavlidis; Dirk Metzler; Wolfgang Stephan
Journal:  Genetics       Date:  2012-06-19       Impact factor: 4.562

3.  A finite locus effect diffusion model for the evolution of a quantitative trait.

Authors:  J R Miller; M C Pugh; M B Hamilton
Journal:  J Math Biol       Date:  2006-02-07       Impact factor: 2.259

4.  Perturbation analysis of a two-locus model with directional selection and recombination.

Authors:  W Stephan
Journal:  J Math Biol       Date:  1995       Impact factor: 2.259

  4 in total

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