Recombination acts on the genetic map, not on the physical map. On the other hand, the physical map is usually more accurate. Choice of the genetic or physical map for positional cloning by allelic association depends on the goodness of fit of data to each map under an established model. Huntington disease illustrates the usual case in which the greater reliability of physical data outweighs recombinational heterogeneity. Hemochromatosis represents an exceptional case in which unrecognized recombinational heterogeneity retarded positional cloning for a decade. The Malecot model performs well for major genes, but no approach assuming either equilibrium or disequilibrium has been validated for oligogenes contributing to common disease. In this case of greatest interest, the power of allelic association relative to linkage is less clear than for major genes.Linkage is measured by sex-specific recombination between two loci, without regard to genotype. Allelic association is measured by dependence of allelic frequencies at two loci, without regard to sex-specific recombination. We are interested in the case in which one locus is a polymorphic marker and the other locus has alleles that affect susceptibility to a particular disease but have not yet been characterized. In a dense marker map, the distance between the disease gene and the closest marker can approach zero. Then under simple assumptions, maximal association is expected to occur at the same location as minimal recombination. These two independent sources of information may be efficiently combined to identify a small candidate region for the disease gene preparatory to positional cloning and sequencing (1, 2). The relative efficiency of linkage and allelic association depends on map accuracy and density, sample composition, evolutionary history of disease genes, and their frequencies and effects. Map error and recombinational heterogeneity pose problems for allelic association that are addressed here.