
%0 Journal Article
%A Verbyla, A. P. 
%A Eckermann, P. J. 
%A Thompson, R. 
%A Cullis, B. R. 
%T The analysis of quantitative trait loci in multi-environment trials using a multiplicative mixed model
%J Australian Journal of Agricultural Research
%D 2003/12/15
%V 54
%N 12
%P 1395-1408
%K factor analytic models, genotype by environment interaction, mixed models, multiplicative mixed models, QTL analysis, regression interval analysis; residual variation.
%R https://doi.org/10.1071/AR02239
%U https://www.publish.csiro.au/paper/AR02239 
%X A new approach for multi-environment quantitative trait locus (QTL) analysis based on an appropriate genetic model is presented. To accommodate a multi-environment analysis, the size of a QTL effect is assumed to be a random effect. The approach results in a multiplicative mixed model for QTL &#215; environment interaction of the factor analytic type. The full genetic model may also include a factor analytic model for the residual genotype &#215; environment interaction, whereas the environmental model for the non-genetic variation involves local, global, and extraneous variation. The approach is used to determine QTLs for yield in the Arapiles &#215; Franklin doubled haploid population of the National Barley Molecular Marker Program. Analysis leads to the determination of 8 QTLs. Many of these QTLs are associated with other traits. 
