Non-identifiability of identity coefficients at biallelic loci

Csűrös, Miklós

Theoretical Population Biology, 2014, vol. 92, issue C, 22-29

Abstract: Shared genealogies introduce allele dependences in diploid genotypes, as alleles within an individual or between different individuals will likely match when they originate from a recent common ancestor. At a locus shared by a pair of diploid individuals, there are nine combinatorially distinct modes of identity-by-descent (IBD), capturing all possible combinations of coancestry and inbreeding. A distribution over the IBD modes is described by the nine associated probabilities, known as (Jacquard’s) identity coefficients. The genetic relatedness between two individuals can be succinctly characterized by the identity coefficients corresponding to a pedigree that contains both individuals. The identity coefficients (together with allele frequencies) determine the distribution of joint genotypes at a locus. At a locus with two possible alleles, identity coefficients are not identifiable because different coefficients can generate the same genotype distribution.

Keywords: Relatedness estimation; Identity by descent; Coancestry; Jacquard coefficients; Consistency (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:92:y:2014:i:c:p:22-29

DOI: 10.1016/j.tpb.2013.11.001

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