Mapping strategies based on a half- or full-sib family design have been dev
eloped to map quantitative trait loci (QTL) for outcrossing species. Howeve
r, these strategies are dependent on controlled crosses where marker-alleli
c frequency and linkage disequilibrium between the marker and QTL may limit
their application. In this article, a maximum-likelihood method is develop
ed to map QTL segregating in an open-pollinated progeny population using do
minant markers derived from haploid tissues from single meiotic events. Res
ults from the haploid-based mapping strategy are not influenced by the alle
lic frequencies of markers and their linkage disequilibria with QTL, becaus
e the probabilities of QTL genotypes conditional on marker genotypes of hap
loid tissues are independent of these population parameters. Parameter esti
mation and hypothesis testing are implemented via expectation/conditional m
aximization algorithm. Parameters estimated include the additive effect, th
e dominant effect, the population mean, the chromosomal location of the QTL
in the interval, and the residual variance within the QTL genotypes, plus
two population parameters, outcrossing rate and QTL-allelic frequency. Simu
lation experiments show that the accuracy and power of parameter estimates
are affected by the magnitude of QTL effects, heritability levels of a tl a
it, and sample sizes used. The application and limitation of the method are
discussed.