PEDIGREE MATING WITH TWO LINKED LOCI
B. S. Weir, C. Clark Cockerham · Genetics · 1969
EASURES of inbreeding for linked loci have been defined by several authors, including HALDANE ( 1949) ,, SCHNELL (1 961 ) and SHIKATA (-1 962).These measures were defined to give the probability that genes at each of several linked loci were simultaneously identical by descent.A method for determining these quantities for pedigrees of individuals or for systems of mating other than selfing had not been developed.By introducing trigametic and quadrigametic measures in addition to the usual digametic ones, COCKERHAM and WEIR (1 968) were able to evaluate an inbreeding function for all generations of a sib mating system.This paper extends that work to procedures that will accommodate pedigrees of individuals and all pedigree mating systems.Finite populations will be considered elsewhere.The object of this investigation then is to determine for a disomic individual with a known pedigree, the probability that two linked autosomal loci carry genes identical by descent.At the same time other probability measures are developed.