Table 2 Variance parameters from the spatial models

μ

1.86 ± 0.24

2.26 ± 0.15

3.85 ± 0.19

\( {\boldsymbol{\sigma}}_{\boldsymbol{c}}^{\mathbf{2}} \)

0.69 ± 0.14*

1.04 ± 0.19*

0.97 ± 0.18*

\( {\boldsymbol{\sigma}}_{\boldsymbol{\eta}}^{\mathbf{2}} \)

1.09 ± 0.05*

1.19 ± 0.04*

1.60 ± 0.09*

\( {\boldsymbol{\sigma}}_{\boldsymbol{\upxi}}^{\mathbf{2}} \)

0.54 ± 0.12

0.29 ± 0.05

0.58 ± 0.11

ρ _col

0.95 ± 0.01

0.95 ± 0.01

0.85 ± 0.04

ρ _row

0.75 ± 0.06

0.60 ± 0.09

0.77 ± 0.06

H ²

0.39 ± 0.05

0.47 ± 0.05

0.38 ± 0.05

Breeding value range

[− 0.66–3.01]

[0.54–5.99]

[2.18–7.46]