Table 1 Ten classes of parental diplotypes with different two-locus genotypes and distributions of produced gametes
From: Mendelian sampling covariability of marker effects and genetic values
Parental diplotype | Genotype indicators | Probabilities of gametes | Characterizing parameters | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
\(c_{a,i}\) | \(c_{a,j}\) | \(c_{d,i}\) | \(c_{d,j}\) | \(p_{A-A}\) | \(p_{A-B}\) | \(p_{B-A}\) | \(p_{B-B}\) | \(D_{i,j}\) | \(p_{i}\) | \(p_{j}\) | |
\(\begin{array}{c} A-A \\ A-A \end{array}\) | 1 | 1 | −1 | −1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 |
\(\begin{array}{c} A-A \\ A-B \end{array}/\begin{array}{c} A-B \\ A-A \end{array}\) | 1 | 0 | −1 | 1 | \(\frac{1}{2}\) | \(\frac{1}{2}\) | 0 | 0 | 0 | 1 | \(\frac{1}{2}\) |
\(\begin{array}{c} A-A \\ B-A \end{array}/\begin{array}{c} B-A \\ A-A \end{array}\) | 0 | 1 | 1 | −1 | \(\frac{1}{2}\) | 0 | \(\frac{1}{2}\) | 0 | 0 | \(\frac{1}{2}\) | 1 |
\(\begin{array}{c} A-B \\ A-B \end{array}\) | 1 | −1 | −1 | −1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 |
\(\begin{array}{c} B-A \\ B-A \end{array}\) | −1 | 1 | −1 | −1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 |
\(\begin{array}{c} A-A \\ B-B \end{array}/\begin{array}{c} B-B \\ A-A \end{array}\) | 0 | 0 | 1 | 1 | \(\frac{1-\theta _{i,j}}{2}\) | \(\frac{\theta _{i,j}}{2}\) | \(\frac{\theta _{i,j}}{2}\) | \(\frac{1-\theta _{i,j}}{2}\) | \(\frac{1-2\theta _{i,j}}{4}\) | \(\frac{1}{2}\) | \(\frac{1}{2}\) |
\(\begin{array}{c} A-B \\ B-A \end{array}/\begin{array}{c} B-A \\ A-B \end{array}\) | 0 | 0 | 1 | 1 | \(\frac{\theta _{i,j}}{2}\) | \(\frac{1-\theta _{i,j}}{2}\) | \(\frac{1-\theta _{i,j}}{2}\) | \(\frac{\theta _{i,j}}{2}\) | \(-\frac{1-2\theta _{i,j}}{4}\) | \(\frac{1}{2}\) | \(\frac{1}{2}\) |
\(\begin{array}{c} A-B \\ B-B \end{array}/\begin{array}{c} B-B \\ A-B \end{array}\) | 0 | −1 | 1 | −1 | 0 | \(\frac{1}{2}\) | 0 | \(\frac{1}{2}\) | 0 | \(\frac{1}{2}\) | 0 |
\(\begin{array}{c} B-A \\ B-B \end{array}/\begin{array}{c} B-B \\ B-A \end{array}\) | −1 | 0 | −1 | 1 | 0 | 0 | \(\frac{1}{2}\) | \(\frac{1}{2}\) | 0 | 0 | \(\frac{1}{2}\) |
\(\begin{array}{c} B-B \\ B-B \end{array}\) | −1 | −1 | −1 | −1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |