Table 1.

Fractional coefficients of breed effects for genetics groups in the study: $g^i$ = individual additive effect, $g^i$ = maternal additive effect, $h^i$ = individual heterosis,${\text{ h}}^{\text{m}}$ = maternal heterosis; with subscripts A = Angus, H = Hereford, C = Caracu, N = Nelore, BO = Braford, BN = Brangus, t = taurine breed crosses, and z = taurine-indicine crosses

Genetics group1	Breed and heterosis effects
	$g_A^i$	$g_H^i$	$g_C^i$	$g_N^i$	$h_t^i$	$h_z^i$	$g_A^m$	$g_H^m$	$g_C^m$	$g_N^m$	$h_t^m$	$h_z^m$
Purebred
A	1	0	0	0	0	0	1	0	0	0	0	0
H	0	1	0	0	0	0	0	1	0	0	0	0
N†	0	0	0	1	0	0	0	0	0	1	0	0
G1
CA	0.5	0	0.5	0	1	0	1	0	0	0	0	0
HA	0.5	0.5	0	0	1	0	1	0	0	0	0	0
NA	0.5	0	0	0.5	0	1	1	0	0	0	0	0
AH	0.5	0.5	0	0	1	0	0	1	0	0	0	0
AN	0.5	0	0	0.5	0	1	0	0	0	1	0	0
G2*
(BN)A	0.8125	0	0	0.1875	0	0.375	1	0	0	0	0	0
(BO)A	0.5	0.3125	0	0.1875	0.625	0.375	1	0	0	0	0	0
(BN)CA	0.5625	0	0.25	0.1875	0	0.375	0.5	0	0.5	0	1	0
(BO)CA	0.25	0.3125	0.25	0.1875	0.3125	0.375	0.5	0	0.5	0	1	0
(BN)HA	0.5625	0.25	0	0.1875	0.3125	0.375	0.5	0.5	0	0	1	0
(BO)HA	0.25	0.5625	0	0.1875	0.3125	0.375	0.5	0.5	0	0	1	0
(BN)NA	0.5625	0	0	0.4375	0	0.5	0.5	0	0	0.5	0	1
(BO)NA	0.25	0.3125	0	0.4375	0.3125	0.5	0.5	0	0	0.5	0	1
(BN)AH	0.5625	0.25	0	0.1875	0.3125	0.375	0.5	0.5	0	0	1	0
(BO)AH	0.25	0.5625	0	0.1875	0.3125	0.375	0.5	0.5	0	0	1	0
(BN)H	0.3125	0.5	0	0.1875	0.625	0.375	0	1	0	0	0	0
(BO)H	0	0.8125	0	0.1875	0	0.375	0	1	0	0	0	0
(BN)AN	0.5625	0	0	0.4375	0	0.5	0.5	0	0	0.5	0	1
(BO)AN	0.25	0.3125	0	0.4375	0.3125	0.5	0.5	0	0	0.5	0	1
(BN)N	0.3125	0	0	0.6875	0	0.625	0	0	0	1	0	0
(BO)N	0	0.3125	0	0	0	0.625	0	0	0	1	0	0

¹Breed of sire is identified by the first symbol in crossbred groups.

^†Nelore breed effects were set equal to zero in the model in order to obtain a unique solution.

*Second generation.