Erratum to: Compatibility of pedigree-based and marker-based relationship matrices for single-step genetic evaluation

Correction

In our publication [1], a confusing sign error exists in Appendix A, page 9, first column, line 18, where it incorrectly says that matrix A(γ) is defined as $\mathit{A}{\left(\mathit{\gamma }\right)}_{\mathit{i}{\mathit{i}}^{\prime }}=\left(1+\mathit{\gamma }/2\right){\mathit{A}}_{\mathit{i}{\mathit{i}}^{\prime }}+\mathit{\gamma }$.

Instead it should have said that it is defined as $\mathit{A}{\left(\mathit{\gamma }\right)}_{\mathit{i}{\mathit{i}}^{\prime }}=\left(1-\mathit{\gamma }/2\right){\mathit{A}}_{\mathit{i}{\mathit{i}}^{\prime }}+\mathit{\gamma }$. Defined in this way, matrix A(γ) is an additive relationship matrix that satisfies the usual recursions but has the peculiar feature that base animals in the pedigree are related (with relationship coefficient γ) and inbreed (with inbreeding coefficient γ/2) as mentioned in the main text of [1].

I apologise for any inconvenience.