Correction to: Genomic selection using random regressions on known and latent environmental covariates

Correction to: Theoretical and Applied Genetics (2022) 135:3393–3415 https://doi.org/10.1007/s00122-022-04186-w

The formula displayed immediately after Eqs. 7 and 40 has been incorrectly published in the original publication. The complete correct formula is given below.

$$ {\mathbf{G}}_{{\mathbf{e}}} \equiv \sigma_{g}^{2} {\mathbf{J}}_{p} + {\mathbf{1}}_{p}^{{ \star }} {\mathbf{D}}^{{ \star }} _{12} {{\varvec{\Lambda}}}^{{{ \star \top }}} + {{\varvec{\Lambda}}}^{{ \star }} {\mathbf{D}}^{{ \star }} _{21} {\mathbf{1}}_{p}^{{{ \star \top }}} + {{\varvec{\Lambda}}}^{{ \star }} {\mathbf{D}}^{{ \star }}_{22} {{\varvec{\Lambda}}}^{{{ \star \top }}} + {{\varvec{\Psi}}} $$

The original article has been corrected.