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Non-identifiability of identity coefficients at biallelic loci

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  • Csűrös, Miklós

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.

Suggested Citation

  • Csűrös, Miklós, 2014. "Non-identifiability of identity coefficients at biallelic loci," Theoretical Population Biology, Elsevier, vol. 92(C), pages 22-29.
  • Handle: RePEc:eee:thpobi:v:92:y:2014:i:c:p:22-29
    DOI: 10.1016/j.tpb.2013.11.001
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    1. Thompson, E.A., 2008. "The IBD process along four chromosomes," Theoretical Population Biology, Elsevier, vol. 73(3), pages 369-373.
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