A MODEL OF A GENETIC SYSTEM WHICH LEADS TO CLOSER LINKAGE BY NATURAL SELECTION

@article{Kimura1956AMO,
  title={A MODEL OF A GENETIC SYSTEM WHICH LEADS TO CLOSER LINKAGE BY NATURAL SELECTION},
  author={Motoo Kimura},
  journal={Evolution},
  year={1956},
  volume={10}
}
  • M. Kimura
  • Published 1 September 1956
  • Biology
  • Evolution
It is generally assumed that linkage intensity may be modified by natural selection. Although there have been several discussions of the subject (e.g. Darlington, 1939; Fisher, 1930), no detailed mathematical analysis has been given. In the present paper a specific model in which selection leads to closer linkage will be examined. In his 1930 book (p. 103) Fisher' states, without going into detail, that "the presence of pairs of factors in the same chromosome, the selective advantage of each of… 
WHY DOES THE GENOTYPE NOT CONGEAL?
  • J. Turner
  • Biology
    Evolution; international journal of organic evolution
  • 1967
TLDR
I have tried to combine the various approaches to the problem of two interacting loci into a single model, mostly without explicit equations, in which Fisher's proof is confirmed; increased linkage is always favored provided that the population is at a stable equilibrium or under particular conditions of change; although sometimes when the population was changing under natural selection, it is looser linkage which is favored.
THE PROBABILITY OF FIXATION OF A MUTANT: THE TWO‐LOCUS CASE
  • W. Ewens
  • Biology
    Evolution; international journal of organic evolution
  • 1967
TLDR
The quantitative investigation of problems in population genetics has mainly been concerned with the analysis of gene frequencies at a single locus, but recently interest has moved to multilocus behavior, and as a first step in this direction the two-locus case has received increasing attention.
A New Approach to Cycling in a 2-locus 2-allele Genetic Model
TLDR
This work reformulates and proves earlier observations of Alan Hastings in a way that makes the treatment of chromosomes with more genetic loci more straightforward and concludes that genetic variation of the population can be maintained.
On the change of population fitness by natural selection2 3
TLDR
A general equation for the role of additive, dominance, and epistatic components of fitness in determining the rate of change in population fitness is given and claims that this law should hold the same position among the biological sciences as the second law of thermodynamics in physical sciences.
Some models of genetic selection.
TLDR
The classical theory of viability selection in which probabilities that individuals of various genotypes survive are in proportions that do not change with time and are independent of population structure is described.
Mean fitness and the equilibria in multilocus polymorphisms
  • J. Turner
  • Biology
    Proceedings of the Royal Society of London. Series B. Biological Sciences
  • 1967
TLDR
The new theorem is used to predict the equilibria in populations polymorphic for two loci, and to deal especially with the quasi-stable equilibrium, for which the critical value of recombination is formulated, and the through point, at which a stable and unstable equilibrium meet and annihilate each other.
THE EVOLUTIONARY DYNAMICS OF COMPLEX POLYMORPHISMS , ,
TLDR
It is sufficient to note the vast effort made by Dobzhansky and his co-workers in their elucidation of the inversion polymorphism of the third chromosome of Drosophila pseudoobscura.
The Population Genetics of Selection
TLDR
This chapter lays the foundations for the response to selection on quantitative traits by first considering selection situations involving one or two loci, and examines how selection on a trait W (z) maps into selection on the underlying genotypes W g at the end of this chapter.
On the theory of selection dependent on two loci
  • P. Moran
  • Mathematics
    Annals of human genetics
  • 1968
TLDR
If the recombination fraction between the loci does not differ too much from 1/2, and if all four alleles are originally present in the population, then the population does tend to a stable equilibrium in which the gene frequencies of A, a, B, b are respectively p, q, P, Q.
POLYMORPHISM AND THE BALANCED POLYGENIC COMBINATION
TLDR
The object of this paper is to discuss the equilibrium conditions obtained for two linked loci for viabilities of the genotypes corresponding approximately to Mather's (1943) concept of balance.
...
1
2
3
4
5
...

References

SHOWING 1-6 OF 6 REFERENCES
The Evolution of Genetic Systems
A MORE comprehensive and intricate mass of material has been successfully analysed and integrated in this masterly exposition of Darlington's than in any other biological treatise of such small size
The Genetical Theory of Natural Selection
TLDR
Although it is true that most text-books of genetics open with a chapter on biometry, closer inspection will reveal that this has little connexion with the body of the work, and that more often than not it is merely belated homage to a once fashionable study.
RULES FOR TESTING STABILITY OF A SELECTIVE POLYMORPHISM.
  • M. Kimura
  • Biology
    Proceedings of the National Academy of Sciences of the United States of America
  • 1956
Rules for testing stability of selective polymorphism under simple situation
  • Proc. Nat. Acad. Sci
  • 1956