Estimation of genetic variance for macro- and micro-environmental sensitivity using double hierarchical generalized linear models

Han A Mulder; Lars Rönnegård; W Freddy Fikse; Roel F Veerkamp; Erling Strandberg

doi:10.1186/1297-9686-45-23

Genetics Selection Evolution

Table 7 Means and standard deviations across 100 replicates of estimated genetic parameters when true and statistical models differ

From: Estimation of genetic variance for macro- and micro-environmental sensitivity using double hierarchical generalized linear models

Scenario	True model	True parameters		Statistical model	Estimated parameters (SD)
Scenario	True model	$σ A sl 2$	$σ A v 2$		$σ A int 2$	$σ A sl 2$	$σ A v 2$	Np
A	Macro	0.025	0	Micro	0.303		0.010	51
	Macro	0.025	0	Micro	(0.045)		(0.020)	51
	Macro	0.05	0	Micro	0.303		0.010	48
	Macro	0.05	0	Micro	(0.044)		(0.013)	48
	Macro	0.1	0	Micro	0.308		0.018	37
	Macro	0.1	0	Micro	(0.050)		(0.019)	37
B	Macro	0.025	0	Macro–micro	0.296	0.027	0.012	60
	Macro	0.025	0	Macro–micro	(0.046)	(0.009)	(0.011)	60
	Macro	0.05	0	Macro–micro	0.298	0.052	0.013	51
	Macro	0.05	0	Macro–micro	(0.048)	(0.011)	(0.013)	51
	Macro	0.1	0	Macro–micro	0.307	0.091	0.012	54
	Macro	0.1	0	Macro–micro	(0.051)	(0.020)	(0.013)	54
C	Micro	0	0.05	Macro	0.296	0.002		0
	Micro	0	0.05	Macro	(0.041)	(0.003)		0
	Micro	0	0.1	Macro	0.292	0.003		0
	Micro	0	0.1	Macro	(0.039)	(0.004)		0
	Micro	0	0.2	Macro	0.289	0.002		0
	Micro	0	0.2	Macro	(0.043)	(0.003)		0
D	Micro	0	0.05	Macro–micro	0.303	0.003	0.053	71
	Micro	0	0.05	Macro–micro	(0.050)	(0.003)	(0.024)	71
	Micro	0	0.1	Macro–micro	0.300	0.003	0.084	60
	Micro	0	0.1	Macro–micro	(0.047)	(0.003)	(0.034)	60
	Micro	0	0.2	Macro–micro	0.304	0.002	0.143	66
	Micro	0	0.2	Macro–micro	(0.049)	(0.003)	(0.058)	66
E	Macro–micro	0.05	0.05	Macro	0.297	0.055		0
	Macro–micro	0.05	0.05	Macro	(0.047)	(0.014)		0
	Macro–micro	0.05	0.1	Macro	0.298	0.053		0
	Macro–micro	0.05	0.1	Macro	(0.052)	(0.012)		0
	Macro–micro	0.05	0.2	Macro	0.292	0.053		0
	Macro–micro	0.05	0.2	Macro	(0.049)	(0.011)		0
	Macro–micro	0.025	0.1	Macro	0.306	0.026		0
	Macro–micro	0.025	0.1	Macro	(0.050)	(0.008)		0
	Macro–micro	0.1	0.1	Macro	0.298	0.106		0
	Macro–micro	0.1	0.1	Macro	(0.045)	(0.022)		0
F	Macro–micro	0.05	0.05	Micro	0.299		0.050	3
	Macro–micro	0.05	0.05	Micro	(0.051)		(0.031)	3
	Macro–micro	0.05	0.1	Micro	0.297		0.095	1
	Macro–micro	0.05	0.1	Micro	(0.047)		(0.042)	1
	Macro–micro	0.05	0.2	Micro	0.304		0.191	0
	Macro–micro	0.05	0.2	Micro	(0.045)		(0.070)	0
	Macro–micro	0.025	0.1	Micro	0.299		0.105	0
	Macro–micro	0.025	0.1	Micro	(0.049)		(0.043)	0
	Macro–micro	0.1	0.1	Micro	0.298		0.103	1
					(0.045)		(0.045)

See Table 2 for schematic overview of scenarios; “Macro–micro” = model accounting for both macro- and micro-environmental sensitivities; “Macro” = model with only macro-environmental sensitivity; “Micro” = model with only micro-environmental sensitivity; $σ A int 2$ = additive genetic variance of breeding value for intercept (true value = 0.3); $σ A sl 2$ = additive genetic variance of breeding value for slope (= macro-environmental sensitivity); $σ A v 2$ = additive genetic variance for environmental variance (= micro-environmental sensitivity), $ρ A int, A v$ = $ρ A int, A sl$ = $ρ A sl, A v$ = 0; Np = number of replicates with covariance structures forced to be positive definite.

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