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A model of mutation appropriate to estimate the number of electrophoretically detectable alleles in a finite population*

  • Tomoko Ohta (a1) and Motoo Kimura (a1)

Summary

A new model of mutational production of alleles was proposed which may be appropriate to estimate the number of electrophoretically detectable alleles maintained in a finite population. The model assumes that the entire allelic states are expressed by integers (…, A−1, A0, A1, …) and that if an allele changes state by mutation the change occurs in such a way that it moves either one step in the positive direction or one step in the negative direction (see also Fig. 1). It was shown that for this model the ‘effective’ number of selectively neutral alleles maintained in a population of the effective size Ne under mutation rate υ per generation is given by

When 4Neυ is small, this differs little from the conventional formula by Kimura & Crow, i.e. ne = 1 + 4Neυ, but it gives a much smaller estimate than this when 4Neυ is large.

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Copyright

References

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Ayala, F. J., Powell, J. R., Tracey, M. L., Moubão, C. A. & Pébez-Salas, S. (1972). Enzyme variability in the Drosophila willistoni group. IV. Genetic variation in natural populations of Drosophila willistoni. Genetics 70, 113139.
Henning, U. & Yanofsky, C. (1963). An electrophoretic study of mutationally altered A proteins of the tryptophan synthetase of Escherichia coli. J. Molecular Biology 6, 1621.
Kimura, M. & Crow, J. F. (1964). The number of alleles that can be maintained in a finite population. Genetics 49, 725738.
Kimura, M. & Ohta, T. (1971). Protein polymorphism as a phase of molecular evolution. Nature 229, 467469.
Ohta, T. & Kimura, M. (1971). Linkage disequilibrium between two segregating nucleotide sites under the steady flux of mutations in a finite population. Genetics 68, 571580.
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Genetics Research
  • ISSN: 0016-6723
  • EISSN: 1469-5073
  • URL: /core/journals/genetics-research
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