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Effect of Selection on a Quantitative Characteristic
Author(s) -
Suresh R. P.,
Kale B. K.
Publication year - 1992
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710340103
Subject(s) - limiting , selection (genetic algorithm) , percentile , mathematics , truncation (statistics) , statistics , locus (genetics) , value (mathematics) , statistical physics , computer science , physics , biology , gene , genetics , mechanical engineering , artificial intelligence , engineering
In this paper we study the effect of selection procedures on certain parameters of the distribution function (d.f.) (such as mean, percentile etc.) of a quantitative characteristic X , in successive generations when the d.f. is governed by a single locus. We study the changes in gene frequencies under the truncation and genotype selection procedures by obtaining approximations to the gene frequencies, since exact expressions are not available. Using these approximations for the gene frequencies, we compute the selection differentials of X for different values of n , the number of generations. We also obtain the limiting distributions as n → ∞ and compute the number of generations required for the above parameter(s) of the d.f. to reach a value close enough to the limiting value.