Correction: Validation of reaction norm breeding values for robustness in Australian sheep

Correction: Genetics Selection Evolution (2024) 56:4 10.1186/s12711-023-00872-5

After publication of this original article [1], we noticed that an error was introduced in Eq. (2) page 3 which should be:

$$\mathbf{y}=\mathbf{X}\mathbf{b}+{\mathbf{Z}}_1{\mathbf{a}}_{\mathbf{0}}+{\mathbf{Z}}_{\mathbf{2}}{\mathbf{a}}_{\mathbf{1}}+{\mathbf{Z}}_{\mathbf{3}}\mathbf{c}+\mathbf{Q}\mathbf{g}+\mathbf{e},$$ 2

instead of :

$$\mathbf{y}=\mathbf{X}\mathbf{b}+{P\mathbf{Z}}_{\mathbf{1}}{\mathbf{a}}_{\mathbf{0}}+{\mathbf{Z}}_{\mathbf{2}}{\mathbf{a}}_{\mathbf{1}}+{\mathbf{Z}}_{\mathbf{3}}\mathbf{c}+\mathbf{Q}\mathbf{g}+\mathbf{e}.$$