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. 2012 Oct;192(2):651–669. doi: 10.1534/genetics.112.139519

Table 2 . Illustration of the outcomes of allelic dropout using two distinct alleles at locus ℓ, Ak and Ah.

True genotype Genotype frequency Dropout state Conditional probability Observed genotype Conditional probability
gi ℙ(gi|Φ, ρ) zi ℙ(zi|gi, Γ) wi ℙ(wi|gi, Γ)
AkAk (1ρ)φk2+ρφk AkAk (1 − γi)2 AkAk 1γi2
AkX 2γi(1 − γi)
XX γi2 XX γi2
AkAh 2(1 − ρ)φkφh AhAk (1 − γi)2 AkAh (1 − γi)2
AhX γi(1 − γi) AhAh γi(1 − γi)
AkX γi(1 − γi) AkAk γi(1 − γi)
XX γi2 XX γi2

Genotype frequencies are calculated from allele frequencies using Equation 5, where ρ is the inbreeding coefficient, a parameter used to model the total deviation from Hardy–Weinberg equilibrium. Dropout is assumed to happen independently to each copy at locus ℓ of individual i, with probability γi specified by Equation 1. hk.

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