Probability of gene identity by descent: computation and
applications
A.S. Whittemore, J. Halpern
Biometrics, 50(1), 109-117 (Mar 1994)
Abstract
Two genes at a given locus are identical by descent (IBD) if both
have been inherited from a common ancestor. We present an algorithm
for computing the probabilities of all IBD relationships among the
genes of pedigree members. We show how to use these probabilities to
calculate the probability of any combination of genotypes or
phenotypes for the pedigree members. Applications to linkage
analysis and genetic counseling are illustrated with examples. The
algorithm also can be used to calculate the generalized kinship
coefficients proposed by others.