True parameters

Estimated parameters (SD)


${\rho}_{{A}_{\mathit{int}},{A}_{v}}$

${\rho}_{{A}_{\mathit{int}},{A}_{\mathit{sl}}}$

${\rho}_{{A}_{\mathit{sl}},{A}_{v}}$

${\sigma}_{{A}_{\mathit{int}}}^{2}$

${\sigma}_{{A}_{\mathit{sl}}}^{2}$

${\sigma}_{{A}_{v}}^{2}$

${\rho}_{{A}_{\mathit{int}},{A}_{v}}$

${\rho}_{{A}_{\mathit{int}},{A}_{\mathit{sl}}}$

${\rho}_{{A}_{\mathit{sl}},{A}_{v}}$

Np


0

0

0

0.315

0.054

0.107

−0.005

0.004

0.012

0

(0.053)

(0.015)

(0.046)

(0.165)

(0.155)

(0.249)

0.5

0

0

0.303

0.051

0.099

0.554

−0.028

−0.007

1

(0.047)

(0.012)

(0.048)

(0.155)

(0.136)

(0.203)

0

0.5

0

0.303

0.053

0.094

−0.010

0.508

−0.014

1

(0.056)

(0.012)

(0.045)

(0.200)

(0.132)

(0.239)

0

0

0.5

0.293

0.052

0.092

0.014

0.021

0.558

2

(0.045)

(0.013)

(0.034)

(0.185)

(0.147)

(0.208)

0.5

0.5

0.5

0.301

0.053

0.089

0.537

0.517

0.530

6

  
(0.051)

(0.013)

(0.036)

(0.171)

(0.138)

(0.192)
 
 ${\rho}_{{A}_{\mathit{int}},{A}_{v}}$ = genetic correlation between additive genetic effects for intercept and environmental variance;${\rho}_{{A}_{\mathit{int}},{A}_{\mathit{sl}}}$ = genetic correlation between additive genetic effects for intercept and slope;${\rho}_{{A}_{\mathit{sl}},{A}_{v}}\phantom{\rule{0.25em}{0ex}}$ = genetic correlation between additive genetic effects for slope (macroenvironmental sensitivity) and environmental variance (microenvironmental sensitivity);${\sigma}_{{A}_{\mathit{int}}}^{2}$ = additive genetic variance of breeding value for intercept (true value = 0.3);${\sigma}_{{A}_{\mathit{sl}}}^{2}$ = additive genetic variance of breeding value for slope (= macroenvironmental sensitivity; true value = 0.05);${\sigma}_{{A}_{v}}^{2}\phantom{\rule{0.25em}{0ex}}$ = additive genetic variance for environmental variance (= microenvironmental sensitivity; true value = 0.10); Np = number of replicates with covariance structures forced to be positive definite.