Literature DB >> 2292671

The generalized multiplicative model for viability selection at multiple loci.

F B Christiansen1.   

Abstract

Selection due to differential viability is studied in an n-locus two-allele model using a set indexation that allows the simplicity of the one-locus two-allele model to be carried to multi-locus models. The existence condition is analyzed for polymorphic equilibria with linkage equilibrium: Robbins' equilibria. The local stability condition is given for the Robbins' equilibria on the boundaries in the generalized non-epistatic selection regimes of Karlin and Liberman (1979). These generalized non-epistatic regimes include the additive selection model, the multiplicative selection model and the multiplicative interaction model, and their symmetric versions cover all the symmetric viability models.

Mesh:

Year:  1990        PMID: 2292671     DOI: 10.1007/bf00168174

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


  17 in total

1.  On the theory of random mating.

Authors:  J H BENNETT
Journal:  Ann Eugen       Date:  1954-03

2.  Some Applications of Mathematics to Breeding Problems III.

Authors:  R B Robbins
Journal:  Genetics       Date:  1918-07       Impact factor: 4.562

3.  On the number of stable equilibria and the simultaneous stability of fixation and polymorphism in two-locus models.

Authors:  M W Feldman; U Libermann
Journal:  Genetics       Date:  1979-08       Impact factor: 4.562

4.  Representation of Nonepistatic selection models and analysis of multilocus Hardy-Weinberg Equilibrium configurations.

Authors:  S Karlin; U Liberman
Journal:  J Math Biol       Date:  1979-05-15       Impact factor: 2.259

5.  Hardy-Weinberg equilibria in random mating populations.

Authors:  C Z Roux
Journal:  Theor Popul Biol       Date:  1974-06       Impact factor: 1.570

6.  Selection in complex genetic systems. I. The symmetric equilibria of the three-locus symmetric viability model.

Authors:  M W Feldman; I Franklin; G J Thomson
Journal:  Genetics       Date:  1974-01       Impact factor: 4.562

7.  On treating the chromosome as the unit of selection.

Authors:  M Slatkin
Journal:  Genetics       Date:  1972-09       Impact factor: 4.562

8.  On the theory of selection dependent on two loci.

Authors:  P A Moran
Journal:  Ann Hum Genet       Date:  1968-10       Impact factor: 1.670

9.  Linkage and selection: two locus symmetric viability model.

Authors:  S Karlin; M W Feldman
Journal:  Theor Popul Biol       Date:  1970-05       Impact factor: 1.570

10.  External stability and ESS: criteria for initial increase of new mutant allele.

Authors:  U Liberman
Journal:  J Math Biol       Date:  1988       Impact factor: 2.259

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  1 in total

1.  Niche construction in evolutionary theory: the construction of an academic niche?

Authors:  Manan Gupta; N G Prasad; Sutirth Dey; Amitabh Joshi; N C Vidya T
Journal:  J Genet       Date:  2017-07       Impact factor: 1.166

  1 in total

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