Table 2. Two real datasets for estimated CLGSI^a parameters constructed with four traits (GY, PHT, EHT and AD) for two and three constraints in three selection cycles.

	Dataset 1 with two constraints
		Estimated expected genetic gain per trait				Estimated maximum
Cycle	Theta	GY	PHT	EHT	AD	Response
0	2.32	0.76	−1.51	−4.05	0.71	4.73
1	1.70	0.65	−1.30	−3.47	0.67	4.02
2	1.57	0.61	−1.22	−3.63	0.56	3.96
Mean1b	1.86	0.67	−1.35	−3.72	0.65	4.24
Mean2c	—	0.45	−0.90	−2.48	0.43	2.82
	Dataset 1 with three constraints
		Estimated expected genetic gain per trait				Estimated maximum
Cycle	Theta	GY	PHT	EHT	AD	Response
0	2.74	0.84	−1.68	−0.84	0.43	5.02
1	1.99	0.72	−1.44	−0.72	0.41	4.27
2	1.89	0.70	−1.39	−0.70	0.36	4.18
Mean1b	2.21	0.75	−1.50	−0.75	0.40	4.49
Mean2c	—	0.50	−1.00	−0.50	0.27	2.99
	Dataset 2 with two constraints
		Estimated expected genetic gain per trait				Estimated maximum
Cycle	Theta	GY	PHT	EHT	AD	Response
0	0.84	0.42	−0.83	−1.30	−0.36	3.08
1	0.76	0.43	−0.86	−0.61	−0.14	2.73
2	0.68	0.41	−0.82	−0.43	−0.11	2.54
Mean1b	0.76	0.42	−0.84	−0.78	−0.20	2.79
Mean2c	—	0.28	−0.56	−0.52	−0.13	1.86
	Dataset 2 with three constraints
		Estimated expected genetic gain per trait				Estimated maximum
Cycle	Theta	GY	PHT	EHT	AD	Response
0	0.94	0.45	−0.89	−0.45	−0.36	3.25
1	0.86	0.44	−0.88	−0.44	−0.12	2.99
2	0.75	0.41	−0.83	−0.41	−0.10	2.79
Mean1b	0.85	0.43	−0.87	−0.43	−0.19	3.01
Mean2c	—	0.29	−0.58	−0.29	−0.13	2.01

^aConstrained Linear Genomic Selection Index.

^bMean1 is the average of the three selection cycles.

^cMean2 = Mean1/1.5, where 1.5 is the interval between selection cycles and denotes the average of the genetic gain per year.