TY - JOUR
T1 - Decomposing Multilocus Linkage Disequilibrium
JF - Genetics
JO - Genetics
SP - 1581
LP - 1583
DO - 10.1534/genetics.166.3.1581
VL - 166
IS - 3
AU - Gorelick, Root
AU - Laubichler, Manfred D.
Y1 - 2004/03/01
UR - http://www.genetics.org/content/166/3/1581.abstract
N2 - 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.
ER -