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Statistical Analysis of Joint Effects of Major Genes and Polygenes in Quantitative Genetics
Author(s) -
Tan W. Y.,
D'Angelo H.
Publication year - 1979
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.4710210212
Subject(s) - polygene , genetics , biology , backcrossing , epistasis , mathematics , genetic analysis , statistics , quantitative trait locus , gene
In this paper we analyze a quantitative genetic character which is controlled by both major genes and polygenes. Assuming that there are no epistatic effects, no linkage and no genetic‐environmental interactions, we follow T AN and C HANG (1972) to derive the probability distributions for segregating populations. The numbers of major genes and polygenes, and the additive and dominance effects of major genes and polygenes are then estimated by using the procedures developed in T AN and C HANG (1972) and the P OWELL ‐F LETCHER search procedure for maximum values. In this paper, we consider the case involving data from P 1 , P 2 , F 2 , B 1 (Backcross to P 1 ) and B 2 (Backcross to P 2 ) as this type of experiment is common in practical applications. The analyses are applied to a simulated model generated by using binomial, multinomial and normal variables and to the data of an experiment on kernel weight of sorghum plant provided to the authors by Professor G EORGE H. L. L IANG of Kansas State University. The analysis of these data indicate clearly that the method derived in this paper is useful and desirable.