Quality of breeding value predictions from longitudinal analyses, with application to residual feed intake in pigs

Table 2 Comparison of SBV predicted using longitudinal phenotypes^a and EBV predicted using summarized phenotypes^b, using pedigree and pedigree plus genomic information for the low (LRFI) and high (HRFI) RFI lines

	Pedigree		Pedigree + genomics
	LRFI	HRFI	LRFI	HRFI
\(Bias\) \({\overline{SBV} }_{w}-\overline{{u }_{ySBVw}}\)
\({SBV}_{1}\)	0.00	0.02	0.00	0.02
\({SBV}_{2}\)	0.03	0.00	0.02	0.00
\({SBV}_{3}\)	0.01	0.00	0.01	0.00
Dispersion \({b}_{{SBV}_{w},{u}_{ySBVw}}\)
\({SBV}_{1}\)	1.05	1.03	1.04	1.03
\({SBV}_{2}\)	1.03	1.02	1.03	1.03
\({SBV}_{3}\)	1.00	1.01	0.97	1.00
Ratio of accuracies \({\rho }_{{SBV}_{w},{u}_{ySBVw}}\)
\({SBV}_{1}\)	1.00	1.00	1.00	1.00
\({SBV}_{2}\)	1.00	0.99	0.99	0.99
\({SBV}_{3}\)	0.98	0.98	0.98	0.98

^aLongitudinal phenotypes = weekly measurements of FI analyzed with an RR model: \({FI}_{ij}={\mathbf{x}}_{ij}{\varvec{\upbeta}}+{{\beta }_{1}MBW}_{ij}+{\beta }_{2}{ADG}_{ij}+{\beta }_{3}{BFT}_{ij}+\sum_{q=0}^{2}{\mathrm{a}}_{iq}{\varphi }_{q}\left(j\right)+\sum_{q=0}^{2}{\mathrm{b}}_{iq}{\varphi }_{q}\left(j\right)+{e}_{ij}\), \({\mathrm{SBV}}_{\mathrm{l},\mathrm{i}}={\mathbf{L}}_{\mathrm{Gl}}{\mathbf{u}}_{\mathrm{i}}\), where \({\mathbf{L}}_{\mathrm{Gl}}\) is the \({l}^{th}\) eigenvector from the decomposition of the \(\mathbf{G}\) matrix
^bSummarized phenotypes:\({\mathbf{y}}_{{\mathbf{S}\mathbf{B}\mathbf{V}}_{\mathbf{l}}}={\mathbf{L}}_{\widehat{\mathbf{G}},\mathbf{l}}^{\mathbf{^{\prime}}}\left(\mathbf{F}\mathbf{I}-\mathbf{X}\widehat{{\varvec{\upbeta}}}-\widehat{{\beta }_{1}}\mathbf{M}\mathbf{B}\mathbf{W}-\widehat{{\beta }_{2}}\mathbf{A}\mathbf{D}\mathbf{G}-\widehat{{\beta }_{3}}\mathbf{B}\mathbf{F}\mathbf{T}\right)\)

ISSN: 1297-9686