The discovery of epistatically interacting QTL is hampered by the intractab
ility and low power to detect QTL in multidimensional genome searches. We d
escribe a nerv method that maps epistatic QTL by identifying loci of high Q
TL by genetic background interaction. This approach allows detection of QTL
involved not only ill pairwise but also higher-order interaction, and does
so with one-dimensional genome searches. The approach requires large popul
ations derived from multiple related inbred-line crosses as is more typical
ly available for plants. Using maximum likelihood, the method contrasts mod
els in which QTL allelic values are either nested within, or fixed ol er, p
opulations. We apply the method to simulated doubled-haploid populations de
rived from a diallel among three inbred parents and illustrate the power of
the method to detect QTL of different effect size and different levels of
QTL by genetic background interaction. Further, we show how the method can
be used in conjunction with standard two-locus QTL detection models that us
e two-dimensional genome searches and find that the method ma) double the p
ower to detect fil st-ur der epistasis.