Heterogeneity of variance components for preweaning growth in Romane sheep due to the number of lambs reared

Table 3 Estimates of variance components, heritabilities (s.e.), correlations (s.e.) and AIC obtained with the different models

	Mod(Coef)	Mod(1)	Mod(2)	Mod(3)	Mod(4)	Mod(5)	Mod(6)	Mod(7)
$σ_{e_{1}}^{2}$ $σ_{e_{2}}^{2}$	1581.87	1688.97	1633.56	2260.68 1556.34	2085.98 1556.18	2086.10 1556.70	2073.32 1563.27	2033.06 1566.96
$σ_{d_{1}}^{2}$ $σ_{d_{2}}^{2}$	390.34	416.33	403.72	384.93	385.85	385.04	415.35 422.07	473.15 366.79
$σ_{m_{1}}^{2}$ $σ_{m_{2}}^{2}$	347.11	284.58	180.16	181.83	179.71	228.20 198.44	179.52	265.40 168.52
$σ_{p_{1}}^{2}$ $σ_{p_{2}}^{2}$	219.50	225.86	719.60 211.30	232.50	454.17 212.17	419.12 219.31	441.14 215.56	416.21 218.47
$σ_{l_{2}}^{2}$	355.99	202.93	275.24	315.35	323.78	323.97	324.74	325.07
$h_{d_{1}}^{2}$	0.13 (0.01)	0.16 (0.02)	0.14 (0.01)	0.13 (0.01)	0.12 (0.01)	0.12 (0.01)	0.13 (0.03)	0.15 (0.03)
$h_{m_{1}}^{2}$	0.12 (0.02)	0.11 (0.01)	0.06 (0.01)	0.06 (0.01)	0.06 (0.01)	0.07 (0.02)	0.06 (0.01)	0.08 (0.02)
$h_{d_{2}}^{2}$	0.14 (0.01)	0.15 (0.02)	0.15 (0.02)	0.14 (0.02)	0.14 (0.02)	0.14 (0.02)	0.14 (0.02)	0.14 (0.02)
$h_{m_{2}}^{2}$	0.06 (<0.01)	0.10 (0.01)	0.06 (0.01)	0.07 (0.01)	0.07 (0.01)	0.06 (0.01)	0.07 (0.01)	0.06 (0.01)
$ρ_{d_{1} d_{2}}^{}$							1.00 (0.06)	1.00 (0.09)
$ρ_{m_{1} m_{2}}^{}$								0.89 (0.14)
$ρ_{d_{1} m_{1}}^{}$	0.08 (0.09)	0.11 (0.09)	0.05 (0.09)	0.07 (0.10)	0.07 (0.10)	0.07 (0.13)	0.13 (0.14)	-0.10 (0.19)
$ρ_{d_{2} m_{2}}^{}$								0.10 (0.11)
$ρ_{d_{1} m_{2}}^{}$						0.09 (0.11)		0.13 (0.16)
$ρ_{d_{2} m_{1}}^{}$							0.06 (0.10)	0.00 (0.14)
$ρ_{p_{1} p_{2}}^{}$			0.60 (0.06)		0.76 (0.09)	0.73 (0.11)	0.73 (0.09)	0.74 (0.11)
AIC	322	486	354	300	288	294	292	298

For litter size i, $σ_{e_{i}}^{2}$ is residual variance; $σ_{d_{i}}^{2}$ direct genetic variance; $σ_{m_{i}}^{2}$ maternal genetic variance; $σ_{p_{i}}^{2}$ maternal permanent variance; $σ_{l_{i}}^{2}$ litter variance; $h_{d_{i}}^{2}$ heritability for direct effect; $h_{m_{i}}^{2}$ heritability for maternal effect; $ρ_{d_{i} m_{j}}^{}$ correlation between direct (i) and maternal (j) effects; $ρ_{d_{1} d_{2}}^{}$ correlation between direct genetic effects; $ρ_{m_{1} m_{2}}^{}$ correlation between maternal genetic effects; $ρ_{p_{1} p_{2}}^{}$ correlation between maternal permanent effects. Figures across two lines indicate that the two components are equal.

ISSN: 1297-9686