We present an analysis of crossover interference over the entire human geno
me, on the basis of genotype data from more than 8,000 polymorphisms in eig
ht CEPH families. Overwhelming evidence was found for strong positive cross
over interference, with average strength lying between the levels of interf
erence implied by the Kosambi and Carter-Falconer map functions. Five mathe
matical models of interference were evaluated: the gamma model and four ver
sions of the count-location model. The gamma model fit the data far better
than did any of the other four models. Analysis of intercrossover distances
was greatly superior to the analysis of crossover counts, in both demonstr
ating interference and distinguishing between the five models. In contrast
to earlier suggestions, interference was found to continue uninterrupted ac
ross the centromeres. No convincing differences in the levels of interferen
ce were found between the sexes or among chromosomes; however, we did detec
t possible individual variation in interference among the eight mothers. Fi
nally, we present an equation that provides the probability of the occurren
ce of a double crossover between two nonrecombinant, informative polymorphi
sms.