Longitudinal analysis of direct and indirect effects on average daily gain in rabbits using a structured antedependence model

Table 3 Average and range of bias and dispersion of the variance component estimates obtained with a SAD model with IGE applied to the simulated longitudinal data

Component	Criterion^a	Simulated antagonism between direct and indirect genetic effects
Component	Criterion^a	Strong (48%)^b	Moderate (77%)^b	Weak (79%)^b
Direct genetic variance	Relative bias	2 [0–4]	1 [0–2]	2 [1–3]
Direct genetic variance	CV	18 [13–25]	20 [14–30]	20 [14–32]
Direct genetic correlation	Bias	0.01 [0–0.03]	0.01 [0.00–0.02]	0.01 [0.00–0.02]
Direct genetic correlation	SD	0.07 [0.04–0.11]	0.07 [0.04–0.11]	0.08 [0.04–0.11]
Indirect genetic variance	Relative bias	27 [19–43]	19 [11–28]	18 [5–33]
Indirect genetic variance	CV	39 [35–48]	52 [47–61]	58 [48–63]
Indirect correlation	Bias	− 0.03 [− 0.07 to 0.02]	− 0.09 [− 0.12 to 0.05]	− 0.08 [− 0.12 to 0.07]
Indirect correlation	SD	0.20 [0.15–0.30]	0.27 [0.22 − 0.35]	0.31 [0.27–0.39]
Direct–indirect correlation	Bias	0.04 [− 0.01 to 0.14]	0.00 [− 0.08 to 0.08]	0.00 [− 0.06 to 0.08]
Direct–indirect correlation	SD	0.13 [0.08–0.25]	0.17 [0.11–0.25]	0.18 [0.09–0.26]
Group variance	Relative bias	− 4 [− 6 to − 3]	− 5 [− 7 to − 2]	− 4 [− 7 to 0]
Group variance	CV	17 [13–24]	17 [13–25]	18 [13–28]
Group correlation	Bias	0.00 [− 0.03 to 0.03]	0.00 [− 0.03 to 0.03]	0.00 [− 0.02 to 0.02]
Group correlation	SD	0.06 [0.01–0.12]	0.07 [0.01–0.16]	0.08 [0.01–0.17]

The average and the range is given for each criteria (average over five components for the variance (5 weeks), over 10 (or 25) components for correlations)
CV coefficient of variation, SD standard deviation
^aFor variance component ω, bias is evaluated by the mean relative bias \(\frac{{E\left( {\hat{\omega }} \right) - \omega }}{\omega }*100)\) and dispersion by the coefficient of variation (\(\frac{{std\left( {\hat{\omega }} \right)}}{{E\left( {\hat{\omega }} \right)}}*100)\). For correlations ω, bias is evaluated by the mean bias (\(E\left( {\hat{\omega }} \right) - \omega\)) and dispersion by the standard deviation
^bPercentage of replicates used

ISSN: 1297-9686