Literature DB >> 24424567

[Simulation of populations with randomly fluctuating fitness values].

H A Schumacher1, K Wöhrmann.   

Abstract

The behaviour of populations due to fluctuating fitness values has been investigated using a computer. Six model systems were considered. The results have been illustrated by figures showing the composition of the populations as a function of the number of generations. The curves obtained for the genotype frequencies of the zygotes and adults (Z i and f i) from repeated runs have been analysed statistically by characteristic parameters as means, relative variances RV zi and RV fi and fluctuation frequencies. The study gave the following results: 1. The value of the parameters is determined by the selection coefficient s, the relative variance of the fitness values RV wi, the position of the deterministic equilibrium and the fertilization system. 2. In the systems without selfing the extent of the fluctuations, measured by RV zi and RV fi, primarily is caused by RV wi; the fluctuation frequency, as a measure for the length of time of the deviation from the mean, on the contrary is determined by s. 3. Equal rates of selfing (S i) of the three genotypes and lesser rates of selfing of the heterozygotes (S 2 < S 1 = S 3) extend, whereas greater rates of selfing of the heterozygotes (S 2 > S 1 = S 3) reduce, the fluctuations. 4. In all systems the mean of the frequency of the heterozygotes was smaller than the value of the deterministic equilibrium. The size of the difference, called heterozygote decrease A z2 resp. A f2, showing dependencies similar to RV zi and RV fi. 5. The relative variances of the heterozygote frequencies ordinarily were lower than those of the homozygote frequencies. This means that the heterozygote frequencies are less influenced by fluctuations of the fitness values.

Year:  1974        PMID: 24424567     DOI: 10.1007/BF00303476

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


  15 in total

1.  On the probability of fixation of mutant genes in a population.

Authors:  M KIMURA
Journal:  Genetics       Date:  1962-06       Impact factor: 4.562

2.  Stochastic processes and distribution of gene frequencies under natural selection.

Authors:  M KIMURA
Journal:  Cold Spring Harb Symp Quant Biol       Date:  1955

3.  Process Leading to Quasi-Fixation of Genes in Natural Populations Due to Random Fluctuation of Selection Intensities.

Authors:  M Kimura
Journal:  Genetics       Date:  1954-05       Impact factor: 4.562

4.  On the roles of directed and random changes in gene frequency in the genetics of populations.

Authors:  S WRIGHT
Journal:  Evolution       Date:  1948-12       Impact factor: 3.694

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

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

6.  Population size and rate of evolution.

Authors:  T Ohta
Journal:  J Mol Evol       Date:  1972       Impact factor: 2.395

7.  Fixation probability of a mutant influenced by random fluctuation of selection intensity.

Authors:  T Ota
Journal:  Genet Res       Date:  1972-02       Impact factor: 1.588

8.  Probability of fixation of a mutant gene in a finite population when selective advantage decreases with time.

Authors:  M Kimura; T Ota
Journal:  Genetics       Date:  1970-07       Impact factor: 4.562

9.  Simulation of models involving mixed selfing and random mating. I. Stochastic variation in outcrossing and selection parameters.

Authors:  S K Jain; D R Marshall
Journal:  Heredity (Edinb)       Date:  1968-08       Impact factor: 3.821

10.  A simulation study of quasi-fixation of genes due to random fluctuation of selection intensities.

Authors:  J S Barker; J C Butcher
Journal:  Genetics       Date:  1966-02       Impact factor: 4.562

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