Decomposing multilocus linkage disequilibrium
|Title||Decomposing multilocus linkage disequilibrium|
|Publication Type||Journal Article|
|Year of Publication||2004|
|Authors||Gorelick, R, and Laubichler, M D.|
|Keywords||ADDITIVE GENETIC VARIANCE, COMPLEX, EPISTASIS|
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.