Expected values for the accuracy of predicted breeding values accounting for genetic differences between reference and target populations

Table 1 Results for single-trait evaluations performed on real data

Trait	\({{\text{h}}}^{2}\)	\(\sqrt{{{\text{h}}}^{2}}\)	Matrix	\(\uprho =\widehat{{\text{cor}}}\left({\widehat{{\text{g}}}}_{1},{{\text{y}}}_{1}\right)\)		\({\text{R}}=\widehat{{\text{cor}}}\left({\widetilde{{\text{g}}}}_{2},{{\text{y}}}_{2}\right)\)		\(\widehat{{\text{E}}}({\text{R}}\|{\text{erosion}})\)
FERT	0.020	0.141	\(\mathbf{A}\)	0.132	[0.104;0.159]	0.008	[− 0.052;0.068]	0.031	[− 0.029;0.091]
			\(\mathbf{G}\)	0.073	[0.045;0.101]	0.016	[− 0.044;0.076]	0.051	[− 0.009;0.111]
			\(\mathbf{H}\)	0.120	[0.092;0.148]	0.042	[− 0.018;0.102]	0.055	[− 0.005;0.114]
HEALTH	0.188	0.434	\(\mathbf{A}\)	0.367	[0.343;0.391]	0.083	[0.023;0.143]	0.091	[0.031;0.150]
			\(\mathbf{G}\)	0.294	[0.268;0.319]	0.176	[0.117;0.234]	0.208	[0.150;0.265]
			\(\mathbf{H}\)	0.356	[0.331;0.380]	0.096	[0.036;0.155]	0.167	[0.108;0.225]
PROD1	0.375	0.612	\(\mathbf{A}\)	0.560	[0.540;0.597]	0.210	[0.152;0.267]	0.149	[0.090;0.207]
			\(\mathbf{G}\)	0.497	[0.476;0.518]	0.456	[0.407;0.503]	0.363	[0.310;0.414]
			\(\mathbf{H}\)	0.547	[0.527;0.567]	0.378	[0.325;0.428]	0.272	[0.215;0.327]
PROD2	0.625	0.791	\(\mathbf{A}\)	0.751	[0.739;0.763]	0.196	[0.137;0.253]	0.227	[0.207;0.283]
			\(\mathbf{G}\)	0.626	[0.609;0.643]	*0.654	[0.608;0.679]	0.472	[0.414;0.517]
			\(\mathbf{H}\)	0.727	[0.713;0.740]	*0.583	[0.542;0.622]	0.396	[0.327;0.445]

^*Observed \({\text{R}}\) is significantly different from \(\widehat{{\text{E}}}({\text{R}}|{\text{erosion}})\), at a significance level of 0.05
Heritabilities (\({{\text{h}}}^{2}\)) were estimated in a preliminary study, and used to obtain the BV and PBV, which were then used to calculate the accuracies for the reference and target populations: \(\hat {\uprho} =\widehat{{\text{cor}}}\left({\widehat{\mathbf{g}}}_{1},{\mathbf{y}}_{1}\right)\) and \({\text{R}}=\widehat{{\text{cor}}}\left({\widetilde{\mathbf{g}}}_{2},{\mathbf{y}}_{2}\right)\), respectively
\(\widehat{{\text{E}}}({\text{R}}|{\text{erosion}})\) were calculated according to the indexes of genetic correlation obtained for each of the relationship matrices used for the evaluation, their values being \({{\text{r}}}_{{\text{A}}}=0.237\), \({{\text{r}}}_{{\text{G}}}=0.697\), \({{\text{r}}}_{{\text{H}}}=0.454\). Values between brackets are the 95% confidence intervals for the values presented

ISSN: 1297-9686