Correction to: Genet Sel Evol (2019) 51:38 https://doi.org/10.1186/s12711-019-0481-7

Following publication of original article [1], we noticed that there was an error: Eq. (3) on page 5 is the genomic relationship matrix that ignores the BOA (\( {\mathbf{G}} \)), whereas it should be the genomic relationship matrix that considers the BOA (\( {\mathbf{G}}_{BOA} \)). Hence, Eq. (3) should be:

$$ {\mathbf{G}}_{BOA} = \left[ {\begin{array}{*{20}c} {{\mathbf{G}}_{{BOA, {\text{PB}}}} } & {{\mathbf{G}}_{{BOA,{\text{PB}} - {\text{CB}}}} } \\ {{\mathbf{G}}_{{BOA, {\text{CB}} - {\text{PB}}}} } & {{\mathbf{G}}_{{BOA, {\text{CB}}}} } \\ \end{array} } \right] = \left[ {\begin{array}{*{20}c} {\frac{{{\mathbf{M}}_{\text{PB}} {\mathbf{M}}_{\text{PB}}^{{'}} }}{{\sum 2p_{j} \left( {1 - p_{j} } \right)}}} & {\frac{{{\mathbf{M}}_{\text{PB}} {\mathbf{T}}_{\text{CB}}^{{'}} }}{{\sum 2p_{j} \left( {1 - p_{j} } \right)}}} \\ {\frac{{{\mathbf{T}}_{\text{CB}} {\mathbf{M}}_{\text{PB}}^{{'}} }}{{\sum 2p_{j} \left( {1 - p_{j} } \right)}}} & {\frac{{{\mathbf{T}}_{\text{CB}} {\mathbf{T}}_{\text{CB}}^{{'}} }}{{\sum 2p_{j} \left( {1 - p_{j} } \right)}}} \\ \end{array} } \right]. $$
(3)