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Table 2 Two-locus genotype probabilities in a full-sib family

From: Mendelian sampling covariability of marker effects and genetic values

L1

L2

Diplotypes

Probabilities

BB

BB

\(\begin{array}{c} B-B \\ B-B \end{array}\)

\(p^{{\mars}}_{B-B}p^{{\venus}}_{B-B}\)

AB/BA

\(\begin{array}{c} B-A \\ B-B \end{array}/\begin{array}{c} B-B \\ B-A \end{array}\)

\(p^{{\mars}}_{B-A}p^{{\venus}}_{B-B}+p^{{\mars}}_{B-B}p^{{\venus}}_{B-A}\)

AA

\(\begin{array}{c} B-A \\ B-A \end{array}\)

\(p^{{\mars}}_{B-A}p^{{\venus}}_{B-A}\)

AB/BA

BB

\(\begin{array}{c} A-B \\ B-B \end{array}/\begin{array}{c} B-B \\ A-B \end{array}\)

\(p^{{\mars}}_{A-B}p^{{\venus}}_{B-B}+p^{{\mars}}_{B-B}p^{{\venus}}_{A-B}\)

AB/BA

\(\begin{array}{c} A-A \\ B-B \end{array}/\, \begin{array}{c} B-B \\ A-A \end{array}/\, \begin{array}{c} A-B \\ \, B-A \end{array}/\,\begin{array}{c} B-A \\ \, A-B \end{array}\)

\(p^{{\mars}}_{A-A}p^{{\venus}}_{B-B}+p^{{\mars}}_{B-B}p^{{\venus}}_{A-A}+p^{{\mars}}_{A-B}p^{{\venus}}_{B-A}+p^{{\mars}}_{B-A}p^{{\venus}}_{A-B}\)

AA

\(\begin{array}{c} A-A \\ B-A \end{array}/\begin{array}{c} B-A \\ A-A \end{array}\)

\(p^{{\mars}}_{A-A}p^{{\venus}}_{B-A}+p^{{\mars}}_{B-A}p^{{\venus}}_{A-A}\)

AA

BB

\(\begin{array}{c} A-B \\ A-B \end{array}\)

\(p^{{\mars}}_{A-B}p^{{\venus}}_{A-B}\)

AB/BA

\(\begin{array}{c} A-A \\ A-B \end{array}/\begin{array}{c} A-B \\ A-A \end{array}\)

\(p^{{\mars}}_{A-A}p^{{\venus}}_{A-B}+p^{{\mars}}_{A-B}p^{{\venus}}_{A-A}\)

AA

\(\begin{array}{c} A-A \\ A-A \end{array}\)

\(p^{{\mars}}_{A-A}p^{{\venus}}_{A-A}\)

  1. Nine classes of two-locus genotypes (L1, L2) in the offspring, which all correspond to ordered diplotypes (separated by a slash, where the upper haplotype is paternal) and the probability of each class as a function of the frequencies of parental gametes (superscripts indicate the sex of the parent and subscripts indicate the haplotypes of gametes)