Linkage analysis based on DNA markers is a major activity in human genetics. Time, cost, and inability to extract complete mapping information are important considerations. While multiallelic single tandem repeat polymorphisms (STRPs) have dominated for 15 years, single‐nucleotide polymorphisms (SNPs) are an alternative that may have some advantages. In considering a transition to SNPs, it is important to highlight the assumptions that may need to be reconsidered and additional analytical and computational challenges that are posed by the use of densely spaced diallelic markers. These are the issues that will affect the analysis and interpretation of results obtained with SNPs, and the modifications to the analytical techniques needed to make full use of this new type of data.