Positional cloning involves first finding linkage between an inherited phenotype (such as a disease) and a DNA marker, followed by the use of a variety of physical and genetic mapping techniques to move from linkage to mutation. If there is a founder effect within a population, crossovers are often rare between the mutation causing the phenotype and closely situated markers and increasing disequilibrium may be observed as the site of the mutation is approached. Standard coefficients of disequilibrium may, however, be insensitive to the relative position of close markers and the mutation, because they depend upon allele frequencies in the normal population compared to those of the founder chromosome. Using cystic fibrosis in European populations as a model system, alternative methods for determining the position of a mutation are discussed. These include haplotype parsimony and three-way interval likelihood analysis. Both methods predict the location of the major CF mutation accurately from a real set of more than 600 European CF chromosomes.