Identifying environmental variables explaining genotype-by-environment interaction for body weight of rainbow trout (Onchorynchus mykiss): reaction norm and factor analytic models

Table 2 **Estimates of genetic correlations of body weight at harvest measured in different environments and mean square deviation (MSD*) between estimates from reaction norm and multivariate models**

Model	EV	Environment	FI	PE	GE	MSD
Reaction norm	Age	NUC	0.99 ± 0.00	0.91 ± 0.03	0.57 ± 0.11	0.17
		FI		0.94 ± 0.02	0.63 ± 0.10
		PE			0.86 ± 0.04
	Temperature	NUC	0.97 ± 0.01	0.99 ± 0.00	0.61 ± 0.11	0.19
		FI		0.98 ± 0.01	0.79 ± 0.06
		PE			0.65 ± 0.10
	Day*Degree	NUC	0.97 ± 0.01	0.56 ± 0.10	0.82 ± 0.05	0.09
		FI		0.35 ± 0.13	0.66 ± 0.10
		PE			0.93 ± 0.02
	Oxygen	NUC	0.75 ± 0.06	0.99 ± 0.00	0.45 ± 0.12	0.14
		FI		0.68 ± 0.08	0.93 ± 0.02
		PE			0.36 ± 0.13
	Photoperiod	NUC	0.97 ± 0.01	0.60 ± 0.09	0.96 ± 0.01	0.12
		FI		0.78 ± 0.06	0.87 ± 0.04
		PE			0.37 ± 0.13
Factor analytic	Latent	NUC	0.56 ± 0.06	0.36 ± 0.04	0.54 ± 0.06	N.A.
		FI		0.41 ± 0.05	0.61 ± 0.07
		PE			0.39 ± 0.05
Multivariate	N. A.	NUC	0.61 ± 0.10	0.25 ± 0.13	0.53 ±0.12	N.A.
Multivariate	N. A.	FI		0.40 ± 0.12	0.55 ± 0.12	N.A.
		PE			0.49 ± 0.12

EV = environmental variables; NUC = breeding environment; FI = Freshwater Institute; PE = Peru; GE = Germany; EV = environmental variable; N.A. = not applicable.
* $MSD = \frac{\sum_{i = 1}^{n} {(r_{g_{RN, i}} - r_{g_{MUV, i}})}^{2}}{n}$ , where $r_{g_{RN, i}}$ and $r_{g_{MUV, i}}$ are the estimated genetic correlation of BWH between different environments from reaction norm (RN) and multivariate (MUV) models.

ISSN: 1297-9686