Literature DB >> 24435902

[Investigations on the interaction of selection and selfing on genetical equilibrium : Especially in tetraploid populations. II].

K Wöhrmann1, P Lange.   

Abstract

In the second part of this paper the influence of genotypically determined outcrossing rates on the genetic variability of diploid populations has been investigated. In the proposed model it has been assumed that besides self-pollination the plants share in a common pollen pool. Populations with and without selection have been taken into account. The investigations led to the following results: 1. Selfing of a genotype tends to have the same effect as selection in favour of this genotype. 2. Outcrossing rates of T 1>T 2=T 3 and T 1=T 2<T 3 lead to trivial equilibria with a (2) respectively A (2) genotypes. With regard to T 1=T 3>T 2 stable non-trivial equilibria with values of p=0.5 are possible. For this case formulas for calculating the frequencies of genotypes have been specified. 3. Outcrossing rates of T 1≠T 2≠T 3 lead in case of relations of T 1>T 2>T 3 to a fixation in a(2). Relations of T 1>T 3>T 2 respectively T 3>T 1>T 2 allow, beside a trivial stationary state, also the maintenance of a stable polymorphism. Calculations of the frequencies of genotypes are possible when the formulas specified are used. In case of the heterozygotes having the lowest selling rate, only trivial stationary states are possible, and are depending on the initial frequency. 4. Selection in favour of a genotype intensifies the effect of selling this genotype. In case of antagonism of the two factors, relatively small differences between fitness values may compensate for the effect of selfing. On the other hand, large differences between the outcrossing rates of the genotypes are necessary in order to compensate for the influence of selection.

Year:  1970        PMID: 24435902     DOI: 10.1007/BF00264569

Source DB:  PubMed          Journal:  Theor Appl Genet        ISSN: 0040-5752            Impact factor:   5.699


  2 in total

1.  [Investigations on the interaction of selection and selfing on genetical equilibrium, especially in tetraploid populations. I].

Authors:  K Wöhrmann
Journal:  Theor Appl Genet       Date:  1970-01       Impact factor: 5.699

2.  Negative assortative mating: exact solution to simple model.

Authors:  C T Falk; C C Li
Journal:  Genetics       Date:  1969-05       Impact factor: 4.562

  2 in total
  2 in total

1.  [Simulation of populations with randomly fluctuating fitness values].

Authors:  H A Schumacher; K Wöhrmann
Journal:  Theor Appl Genet       Date:  1974-01       Impact factor: 5.699

2.  [Investigations on the interaction of selection and selfing on genetical equilibrium, especially in tetraploid populations. III].

Authors:  K Wöhrmann
Journal:  Theor Appl Genet       Date:  1970-01       Impact factor: 5.699

  2 in total

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