Unattainable regions in the space of genetic relationships.

Abstract excerpt

The relationship between two pedigree members may be summarized by their nine condensed identity coefficients ( Δ 1 , ⋯ , Δ 9 ) , also known as Jacquard coefficients. These give the expected relative frequencies of the possible patterns of identity by descent between the alleles carried by the individuals at an autosomal locus. The collection J of all such vectors, taken over all pairs in all pedigrees, forms a...

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