. Author manuscript; available in PMC: 2020 Jun 1.

Published in final edited form as: J Evol Biol. 2019 Apr 2;32(6):545–558. doi: 10.1111/jeb.13436

Table 2.

Mating table.

	Males
Females	T₁C₁ …	T₁C₂ …	T₂C₁ …	T₂C₂ …
… P₁R₁	$y_{1} x_{1}^{'} - b y_{1} x_{1}^{'} c_{2}^{'}$	$y_{1} x_{2}^{'}$ $- b y_{1} x_{2}^{'} c_{2}^{'} + b y_{1} x_{2}^{'}$	$y_{1} x_{3}^{'} - b y_{1} x_{3}^{'} c_{2}^{'}$	$y_{1} x_{4}^{'}$ $- b y_{1} x_{4}^{'} c_{2}^{'} + b y_{1} x_{4}^{'}$
… P₁R₂	$y_{2} x_{1}^{'}$ $- (1 - γ) b y_{2} x_{1}^{'} c_{2}^{'}$	$y_{2} x_{2}^{'}$ $- (1 - γ) b y_{2} x_{2}^{'} c_{2}^{'}$ $+ (1 - γ) b y_{2} x_{2}^{'}$	$y_{2} x_{3}^{'}$ $- (1 - γ) b y_{2} x_{3}^{'} c_{2}^{'}$	$y_{2} x_{4}^{'}$ $- (1 - γ) b y_{2} x_{4}^{'} c_{2}^{'}$ $+ (1 - γ) b y_{2} x_{4}^{'}$
… P₂R₁	$\frac{y_{3} x_{1}^{'} - b y_{3} x_{1}^{'} c_{2}^{'}}{z}$	$\frac{y_{3} {x^{'}}_{2} - b y_{3} {x^{'}}_{2} {c^{'}}_{2} + b y_{3} {x^{'}}_{2} z}{z}$	$\frac{(1 + a) y_{3} {x^{'}}_{3} - b (1 + a) y_{3} {x^{'}}_{3} {c^{'}}_{2}}{z}$	$\frac{(1 + a) y_{3} {x^{'}}_{4} - b (1 + a) y_{3} {x^{'}}_{4} {c^{'}}_{2} + b y_{3} {x^{'}}_{4} z}{z}$
… P₂R₂	$\frac{y_{4} {x^{'}}_{1} - (1 - γ) b y_{4} {x^{'}}_{1} {c^{'}}_{2}}{z}$	$\frac{y_{4} {x^{'}}_{2} - (1 - γ) b y_{4} {x^{'}}_{2} {c^{'}}_{2} + (1 - γ) b y_{4} {x^{'}}_{2} z}{z}$	$\frac{(1 + a) y_{4} {x^{'}}_{3} - (1 - γ) b (1 + a) y_{4} {x^{'}}_{3} {c^{'}}_{2}}{z}$	$\frac{(1 + a) y_{4} {x^{'}}_{4} - (1 - γ) b (1 + a) y_{4} {x^{'}}_{4} {c^{'}}_{2} + (1 - γ) b y_{4} {x^{'}}_{4} z}{z}$

Frequencies of matings between males and females of each of the sixteen genotypes, where $z = x_{1}^{'} + x_{2}^{'} + (1 + a) x_{3}^{'} + (1 + a) x_{4}^{'}$ . While the model follows every genotype frequency in males and females independently, to aid in interpretation of the table, each column here represents the sum of all male genotype frequencies after natural selection having the same alleles at the T and C loci. Since these traits are sex-limited, these groups of genotypes function identically in mating. $x_{1}^{'}$ is the sum of all male genotype frequencies having the alleles T₁C₁ (T₁C₁P₁R₁, T₁C₁P₁R₂, T₁C₁P₂R₁ and T₁C₁P₂R₂). Similarly, $x_{2}^{'}$ represents the sum of all male genotype frequencies having the alleles T₁C₂, and so on. The frequency of the C₂ allele within males, $c_{2}^{'}$ , is therefore equivalent to ${(x}_{2}^{'} + x_{4}^{'})$ . The prime notation is a reminder that the genotype frequencies for males have already been adjusted by viability selection. Each row represents the sum of all female genotypes (unaffected by viability selection) that have the same alleles at the P and R loci. For example, y₁is the sum of all female genotypes having the alleles P₁R₁ (T₁C₁P₁R₁, T₁C₂P₁R₁, T₂C₁P₁R₁ and T₂C₂P₁R₁).