The authors advise that during the study period the definition (not the evaluation) of reported udder health (UDH) changed and the scale was reversed (i.e. the negative (-) associated with UDH should be positive (+) and vice versa). However, this correction was omitted in a few places in the published paper. Therefore, the correct text in the 'Expected genetic changes under selection scenarios' section should read:A relative weight of 25% of PME (selection scenario IV) generated a response of PME by -6%, MY by 15%, FY by 6%, PY by 11%, fertility by -4%, BCS by -11%, UDH by 13% and longevity by 22%. For example by the addition of 25% of LMI, the resulting response would be for LMI by -24%, MY by 29%, FY by 16%, PY by 28%, fertility by -10%, BCS by -13%, UDH by 13% and longevity by 23%.The correct versions of Tables 5 and 6 are as follows: Table 6. Selection responses (percentage of change) of environmental, production and functional traits to LMI selection scenarios LMI, log-transformed methane intensity; MY, milk yield; FY, fat yield; PY, protein yield; Fertility, Combined female fertility; BCS, body condition score; UDH, udder health (reversed somatic cell score); Selection scenario 1 = current Walloon dairy cattle selection program, from second to fifth selection scenarios were addition of PME by 5%, 12.5%, 25% and 50% and proportional decrease on other traits respectively Table 5. Selection responses (percentage of change) of environmental, production and functional traits to PME selection scenarios PME, predicted methane emissions; MY, milk yield; FY, fat yield; PY, protein yield; Fertility, Combined female fertility; BCS, body condition score; UDH, udder health (reversed somatic cell score); Selection scenario 1 = current Walloon dairy cattle index (VeG), from second to fifth selection scenarios were addition of PME by 5%, 12.5%, 25% and 50% and proportional decrease on other traits respectively Abstract. Methane (CH 4 ) emission is an important environmental trait in dairy cows. Breeding aiming to mitigate CH 4 emissions require the estimation of genetic correlations with other economically important traits and the prediction of their selection response. In this study, test-day CH 4 emissions were predicted from milk mid-infrared spectra of Holstein cows. Predicted CH 4 emissions (PME) and log-transformed CH 4 intensity (LMI) computed as the natural logarithm of PME divided by milk yield (MY). Genetic correlations of PME and LMI with traits used currently were approximated from correlations between estimated breeding values of sires. Values were for PME with MY 0.06, fat yield (FY) 0.09, protein yield (PY) 0.13, fertility 0.17; body condition score (BCS) -0.02; udder health (UDH) 0.22; and longevity 0.22. As expected by its definition, values were negative for LMI with production traits (MY -0.61; FY -0.15 and PY -0.40) and positive with fertility (0.36); BCS (0.20); UDH (0.08) and longevity (0.06). The genetic correlations of 33 type traits with PME ranged from -0.12 to 0.25 and for LMI ranged from -0.22...