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Some aspects of distribution theories in quantitative genetics I. Some general results
Author(s) -
Tan W. Y.
Publication year - 1978
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.197800018
Subject(s) - quantitative genetics , bivariate analysis , joint probability distribution , population , mathematics , extension (predicate logic) , distribution (mathematics) , population genetics , statistics , quantitative trait locus , probability distribution , computer science , genetic variation , demography , mathematical analysis , sociology , programming language
This paper derives the probability distributions of quantitative genetics for more general quantitative genetic models. Under the assumption of normal environmental disturbances, it is shown that the probability distributions of phenotypic values in segregating populations are in general mixtures of normals. The mixing proportion in the population is then derived for various mating systems. As an extension of the results, the joint distribution of two linked quantitative characters is also derived as mixtures of bivariate normals.