Table 2.

Frequencies of matings between each of the eight genotypes. Although the model follows all genotypes independently, to aid in interpretation, each row gathers together all male genotype frequencies having the same alleles at the T and B loci; since these traits are sex-limited, these groups of genotypes function identically in mating. Each term $x_{ij}^{\prime }.$ is the sum of the frequencies of males with genotype T_iB_j (T_iB_jR₁ and T_iB_jR₂). Similarly, each column gathers all female genotype frequencies having the allele R₁ or R₂, yielding $y_{\cdot \cdot 1}^{\prime }$ and $y_{\cdot \cdot 2}^{\prime }$. The prime notation is a reminder that the genotype frequencies have already been adjusted by viability selection. The “z” terms are normalizing factors, where $z_b=x_{11\cdot }^{\prime }+x_{21\cdot }^{\prime }+x_{12\cdot }^{\prime }(a_b+1)+x_{22\cdot }^{\prime }(a_b+1)$, and z₁ and z₂ are the sums of the numerators in their columns divided by $y_{\cdot \cdot 1}^{\prime }$ and $y_{\cdot \cdot 2}^{\prime }$ respectively.

Males	Females
	… R1	… R2
T1B1 …	$\frac{y_{\cdot \cdot 1}^{\prime }\left(x_{11\cdot }^{\prime }(c+(1-c)\left(\frac{1}{a_t+2}\right))\right)}{z_1}$	$\frac{y_{\cdot \cdot 2}^{\prime }\left(\frac{x_{11\cdot }^{\prime }}{z_b}(c+(1-c)\left(\frac{1}{a_t+2}\right))\right)}{z_2}$
T2B1 …	$\frac{y_{\cdot \cdot 1}^{\prime }\left(x_{21\cdot }^{\prime }(c+(1-c)\left(\frac{a_t+1}{a_t+2}\right))\right)}{z_1}$	$\frac{y_{\cdot \cdot 2}^{\prime }\left(\frac{x_{21\cdot }^{\prime }}{z_b}(c+(1-c)\left(\frac{a_t+1}{a_t+2}\right))\right)}{z_2}$
T1B2 …	$\frac{y_{\cdot \cdot 1}^{\prime }\left(x_{12\cdot }^{\prime }(c(1-\gamma )+(1-c(1-\gamma ))\left(\frac{1}{a_t+2}\right))\right)}{z_1}$	$\frac{y_{\cdot \cdot 2}^{\prime }\left(\frac{x_{12\cdot }^{\prime }(a_b+1)}{z_b}(c(1-\gamma )+(1-c(1-\gamma ))\left(\frac{1}{a_t+2}\right))\right)}{z_2}$
T2B2 …	$\frac{y_{\cdot \cdot 1}^{\prime }\left(x_{22\cdot }^{\prime }(c(1-\gamma )+(1-c(1-\gamma ))\left(\frac{a_t+1}{a_t+2}\right))\right)}{z_1}$	$\frac{y_{\cdot \cdot 2}^{\prime }\left(\frac{x_{22\cdot }^{\prime }(a_b+1)}{z_b}(c(1-\gamma )+(1-c(1-\gamma ))\left(\frac{a_t+1}{a_t+2}\right))\right)}{z_2}$