Table 2. Consequences of OSGS/GS on the proportions of favorable alleles and breeding values. Using P:S ratio of 60:40 as an example, we compared the mean proportions of favorable primary (P) and favorable secondary (S), and the true BV after five generations of recurrent selection. First two rows are the parents, third row is the pre-selected population, and the remaining are selected populations. P and S in generation 0 are essentially weighted means of P and S in the parents where the weights are the mean proportion of parental markers. For example, in BC₁, P = 0.75 × 0.60 = 0.45 and S = 0.25 × 0.40 = 0.10.

Gen	$\omega$	F2			BC1			rBC1
		P	S	BV	P	S	BV	P	S	BV
P	—	0.60	0.00	4.40	0.60	0.00	4.40	0.60	0.00	4.40
S	—	0.00	0.40	−4.40	0.00	0.40	−4.40	0.00	0.40	−4.40
0	—	0.30	0.20	0.00	0.45	0.10	2.19	0.15	0.30	−2.18
5	0.0	0.11	0.35	−1.41	0.25	0.26	1.42	0.03	0.39	−3.48
5	0.1	0.21	0.30	1.27	0.36	0.20	3.82	0.09	0.36	−1.76
5	0.2	0.28	0.26	3.02	0.42	0.16	4.85	0.14	0.34	−0.18
5	0.3	0.31	0.24	3.57	0.45	0.14	5.22	0.17	0.32	0.63
5	0.4	0.34	0.21	4.19	0.47	0.12	5.30	0.20	0.30	1.22
5	0.5	0.36	0.20	4.40	0.49	0.11	5.43	0.22	0.29	1.70
5	0.6	0.39	0.18	4.74	0.51	0.09	5.39	0.24	0.28	2.17
5	0.7	0.41	0.17	5.01	0.52	0.08	5.50	0.27	0.26	2.55
5	0.8	0.44	0.14	5.09	0.54	0.06	5.36	0.30	0.24	3.09
5	0.9	0.49	0.10	5.14	0.57	0.03	5.00	0.36	0.20	3.63
5	1.0	0.54	0.05	4.66	0.59	0.01	4.55	0.43	0.14	3.60
5	GS	0.46	0.13	5.29	0.50	0.10	5.48	0.36	0.19	3.83