%0 Journal Article
%A Gorelick, Root
%A Laubichler, Manfred D.
%T Decomposing Multilocus Linkage Disequilibrium
%D 2004
%R 10.1534/genetics.166.3.1581
%J Genetics
%P 1581-1583
%V 166
%N 3
%X We present a mathematically precise formulation of total linkage disequilibrium between multiple loci as the deviation from probabilistic independence and provide explicit formulas for all higher-order terms of linkage disequilibrium, thereby combining J. Dausset et al.'s 1978 definition of linkage disequilibrium with H. Geiringer's 1944 approach. We recursively decompose higher-order linkage disequilibrium terms into lower-order ones. Our greatest simplification comes from defining linkage disequilibrium at a single locus as allele frequency at that locus. At each level, decomposition of linkage disequilibrium is mathematically equivalent to number theoretic compositions of positive integers; i.e., we have converted a genetic decomposition into a mathematical decomposition.
%U https://www.genetics.org/content/genetics/166/3/1581.full.pdf