Principal component approach in variance component estimation for international sire evaluation

Table 2 The effect of the order of country addition on the estimates of the bottom-up PC approach for protein yield.

			Differences
Countries^a		Genetic correlations, direct PC 9	Direct PC 9 vs. Bottom-up PC rank 8	Bottom-up PC order1^b vs. order2^c
1	2			rank 8	rank 7	rank 6
FRA	USA	0.87	0	0	0	0.04
FRA	CZE	0.58	0	0	0	0.03
FRA	LVA	0.24	-0.02	0	0	0.24
FRA	POL	0.65	0	0	0	-0.02
FRA	NZL	0.68	0	0	0	-0.07
FRA	AUS	0.76	0	0	0	-0.01
FRA	SVN	0.51	-0.01	0.02	-0.14	-0.17
FRA	IRL	0.78	0	0	0.01	0
USA	CZE	0.59	0	0	0	0
USA	LVA	0.31	-0.01	0.01	0.02	-0.40
USA	POL	0.56	0	0	0	0.02
USA	NZL	0.54	0	0	0	-0.02
USA	AUS	0.65	0	0	0	0.05
USA	SVN	0.36	0.02	-0.03	-0.12	-0.08
USA	IRL	0.63	0	0	0.02	0.08
CZE	LVA	0.09	-0.04	0	0.03	-0.02
CZE	POL	0.55	0	0	0	-0.05
CZE	NZL	0.47	0	0.01	0.01	0
CZE	AUS	0.53	0	0	0	-0.06
CZE	SVN	0.44	0	0.04	0	-0.04
CZE	IRL	0.51	0.01	0	-0.02	-0.04
LVA	POL	0.62	-0.01	0	-0.01	-0.28
LVA	NZL	0.15	-0.05	0.02	-0.01	0.13
LVA	AUS	0.51	-0.03	0.01	-0.01	-0.08
LVA	SVN	0.21	0.07	-0.01	-0.12	0.16
LVA	IRL	0.33	0.02	0.02	-0.02	0.08
POL	NZL	0.49	0	0	0	0.06
POL	AUS	0.70	0	0	0	0.07
POL	SVN	0.57	0.01	0	-0.04	0.06
POL	IRL	0.68	0	0	0	0.04
NZL	AUS	0.80	0	0	0	0.01
NZL	SVN	0.34	-0.01	0.03	-0.14	-0.33
NZL	IRL	0.81	-0.01	0	0.01	-0.05
AUS	SVN	0.42	0.01	0.01	-0.14	-0.07
AUS	IRL	0.84	0	0	0.01	0.07
SVN	IRL	0.74	-0.03	0	-0.12	-0.13
Mean		0.54	-0.002	0.003	-0.021	-0.022
Mean_abs^d		0.54	0.010	0.006	0.028	0.085
Max		0.87	0.07	0.04	0.14	0.40

For comparison, the estimates of the genetic correlations from the direct PC full rank model and the differences in the estimates of the genetic correlations from the direct PC full rank and the bottom-up PC rank 8 models are also presented. The mean and maximum (max) values of genetic correlations from the direct PC full fit and mean and max differences from above comparisons are shown at the bottom of the table.
^a Keys of the country codes are shown in Table 1
^b Order 1: FRA, USA, CZE, LVA, POL, NZL, AUS, SVN, IRL
^c Order 2 is reverse to order 1
^d Mean of the absolute differences

ISSN: 1297-9686