Both the dairy cattle and sheep industries face the simultaneous challenge of improving feed efficiency and reducing methane emissions. Genomic selection is a valuable tool to reduce residual feed intake (RFI) and reduce methane yield (MeY), which are widely used traits for estimating efficiency and emissions. However, it is important to know how selecting one of these traits would affect the other and this relationship has been contentious in the literature. Here we estimated the genetic correlations between RFI and MeY in 584 Holstein dairy cattle and 445 Australian Maternal Composite ewes using bi-variate genomic best linear unbiased prediction models. In both datasets, negative genetic correlations between RFI and MeY were found, which means that selecting more feed efficient animals would increase the amount of methane emitted per kg of dry matter intake. Diet could play a role in this relationship.

Previous studies have shown reduced enteric methane emissions (ME) and residual feed intake (RFI) through the application of genomic selection in ruminants. The objective of this study was to evaluate feeding behaviour traits as genetic indicators for ME and RFI in Australian Maternal Composite ewes using data from an automated feed intake facility. The feeding behaviour traits evaluated were the amount of time spent eating per day (eating time; ETD; min/day) and per visit (eating time per event; ETE; min/event), daily number of events (DNE), event feed intake (EFI; g/event) and eating rate (ER; g/min). Genotypes and phenotypes of 445 ewes at three different ages (post-weaning, hogget, and adult) were used to estimate the heritability of ME, RFI, and the feeding behaviour traits using univariate genomic best linear unbiased prediction models. Multivariate models were used to estimate the correlations between these traits and within each trait at different ages. The response to selection was evaluated for ME and RFI with direct selection models and indirect models with ETE as an indicator trait, as this behaviour trait was a promising indicator based on heritability and genetic correlations. Heritabilities were between 0.12 and 0.18 for ME and RFI, and between 0.29 and 0.47 for the eating behaviour traits. In our data, selecting for more efficient animals (low RFI) would lead to higher methane emissions per day and per kg of dry matter intake. Selecting for more ETE also improves feed efficiency but results in more methane per day and per kg dry matter intake. Based on our results, ETE could be evaluated as an indicator trait for ME and RFI under an index approach that allows simultaneous selection for improvement in emissions and feed efficiency. Selecting for ETE may have a tremendous impact on the industry, as it may be easier and cheaper to obtain than feed intake and ME data. As the data were collected using individual feeding units, the findings on this research should be validated under grazing conditions.