Genotypic distribution at the limits to natural and artificial selection with mutation. (English) Zbl 0617.92014
Changes in the genotype distribution under stabilizing selection and long term truncation selection were studied through the cumulants of the density function expressed by Gram-Charlier expansion and Hermite polynomials.
Departures from normality were insignificant under additive gene effects, large number of loci and when gene frequencies were not extreme; linkage disequilibrium had only a minor role. At the selection limit, attained mainly through natural selection, skewness and kurtosis were high if mutation was an important cause of genetic variability.
Departures from normality were insignificant under additive gene effects, large number of loci and when gene frequencies were not extreme; linkage disequilibrium had only a minor role. At the selection limit, attained mainly through natural selection, skewness and kurtosis were high if mutation was an important cause of genetic variability.
Reviewer: J.S.Murty
MSC:
| 92D10 | Genetics and epigenetics |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
Keywords:
Gaussian approximation; genotype distribution; stabilizing selection; long term truncation selection; cumulants; Gram-Charlier expansion; Hermite polynomials; additive gene effects; gene frequencies; selection limit; natural selection; skewness; kurtosis; mutation; genetic variabilityReferences:
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