Table 2 . Illustration of the outcomes of allelic dropout using two distinct alleles at locus ℓ, Aℓk and Aℓh.
True genotype | Genotype frequency | Dropout state | Conditional probability | Observed genotype | Conditional probability |
---|---|---|---|---|---|
giℓ | ℙ(giℓ|Φ, ρ) | ziℓ | ℙ(ziℓ|giℓ, Γ) | wiℓ | ℙ(wiℓ|giℓ, Γ) |
AℓkAℓk | AℓkAℓk | (1 − γiℓ)2 | AℓkAℓk | ||
AℓkX | 2γiℓ(1 − γiℓ) | ||||
XX | XX | ||||
AℓkAℓh | 2(1 − ρ)φℓkφℓh | AℓhAℓk | (1 − γiℓ)2 | AℓkAℓh | (1 − γiℓ)2 |
AℓhX | γiℓ(1 − γiℓ) | AℓhAℓh | γiℓ(1 − γiℓ) | ||
AℓkX | γiℓ(1 − γiℓ) | AℓkAℓk | γiℓ(1 − γiℓ) | ||
XX | XX |
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 γiℓ specified by Equation 1. .