In analyzing genetic linkage data it is common to assume that the loca
tions of crossovers along a chromosome follow a Poisson process, where
as it has long been known that this assumption does not fit the data.
In many organisms it appears that the presence of a crossover inhibits
the formation of another nearby, a phenomenon known as ''interference
.'' We discuss several point process models for recombination that inc
orporate position interference but assume no chromatid interference. U
sing stochastic simulation, we are able to fit the models to a multilo
cus Drosophila dataset by the method of maximum likelihood. We find th
at some biologically inspired point process models incorporating one o
r two additional parameters provide a dramatically better fit to the d
ata than the usual ''no-interference'' Poisson model.