Open AccessDetecting linkage disequilibrium between a polymorphic marker locus and a trait locus in natural populations
Author(s) -
Zewei Luo
Publication year - 1998
Publication title -
heredity
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 118
eISSN - 1365-2540
pISSN - 0018-067X
DOI - 10.1046/j.1365-2540.1998.00275.x
Subject(s) - linkage disequilibrium , biology , quantitative trait locus , locus (genetics) , genetics , population , regression analysis , regression , allele , statistics , evolutionary biology , mathematics , haplotype , gene , demography , sociology
A novel statistical model was developed to test for linkage disequilibrium between a polymorphic genetic marker locus and a locus underlying a quantitative trait (QTL) in natural populations using principles of analysis of variance of unbalanced data and analysis of regression involving data of non‐normal distribution. Powers of these statistical tests are formulated as functions of census population size, allelic frequencies at the marker locus and the trait locus, additive and dominance effects at the QTL as well as the coefficient of linkage disequilibrium. Theoretical predictions of the power are validated by extensive Monte Carlo simulations. Among all these factors examined, the amount of the disequilibrium and the size of effect of the QTL are of most importance in determining the power, and the dominance and the allele frequencies at the two loci have substantial effects on the power. Numerical analyses based upon the theoretical calculations and simulation studies favour use of regression of the number of marker alleles on the trait phenotypes as a measure of detection of linkage disequilibrium. Theoretical analysis is also performed to investigate robustness of the formula for predicting the variance of the regression coefficient, which requires normality of the regression variables, whereas normality may not be strictly warranted.