Table 1. Genetic selection differentials in $A_{m,1},$ $A_{v,1},$ and $A_{m,2}$ when selecting on $P_1$ or on $P_2$ for different selected proportions (p) and when $r_{A_{m,1},A_{v,1}}$ and $r_{A_{m,1},A_{m,2}}$ are the same (0 or 0.5).

			$A_{m,1}$		$A_{v,1}$		$A_{m,2}$
Selection	$r_{A_{m,1},A_{v,1}}=r_{A_{m,1},A_{m,2}}$	p	MR	MC	MR	MC	MR	MC
$P_1$	0	0.80	0.105	0.105	−0.005	−0.005	0.006	0.006
		0.50	0.239	0.242	0.000	0.000	0.000	0.000
		0.20	0.420	0.421	0.020	0.020	−0.024	−0.025
	0.5	0.80	0.104	0.103	0.017	0.017	0.063	0.061
		0.50	0.239	0.241	0.048	0.049	0.123	0.121
		0.20	0.422	0.430	0.099	0.102	0.180	0.179
$P_2$	0	0.80	0.000	0.000	−0.021	−0.021	0.105	0.105
		0.50	0.000	0.000	−0.049	−0.049	0.239	0.239
		0.20	0.000	0.000	−0.086	−0.086	0.420	0.420
	0.5	0.80	0.052	0.052	−0.021	−0.021	0.105	0.105
		0.50	0.120	0.120	−0.049	−0.049	0.239	0.239
		0.20	0.210	0.210	−0.086	−0.086	0.420	0.420

Values were obtained analytically [multiple regression (MR): Equations 12 and 13] and with Monte Carlo simulation (MC) (${\sigma }_{A_{m,1}}^2={\sigma }_{A_{m,2}}^2=0.3, {\sigma }_{A_{v,1}}^2=0.05,{\sigma }_{e_1}^2\text{exp}\left(\left(1/2\right){\sigma }_{A_{v,1}}^2\right)=0.7,$ ${\sigma }_{e_2}^2=0.7,$ $r_{A_{v,1},A_{m,2}}=-0.5,$ $r_e=0$).