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Research| Volume 104, ISSUE 1, P539-549, January 2021

Genetic parameters for methane emission traits in Australian dairy cows

Open AccessPublished:October 29, 2020DOI:https://doi.org/10.3168/jds.2020-18565

      ABSTRACT

      Methane is a greenhouse gas of high interest to the dairy industry, with 57% of Australia's dairy emissions attributed to enteric methane. Enteric methane emissions also constitute a loss of approximately 6.5% of ingested energy. Genetic selection offers a unique mitigation strategy to decrease the methane emissions of dairy cattle, while simultaneously improving their energy efficiency. Breeding objectives should focus on improving the overall sustainability of dairy cattle by reducing methane emissions without negatively affecting important economic traits. Common definitions for methane production, methane yield, and methane intensity are widely accepted, but there is not yet consensus for the most appropriate method to calculate residual methane production, as the different methods have not been compared. In this study, we examined 9 definitions of residual methane production. Records of individual cow methane, dry matter intake (DMI), and energy corrected milk (ECM) were obtained from 379 animals and measured over a 5-d period from 12 batches across 5 yr using the SF6 tracer method and an electronic feed recording system, respectively. The 9 methods of calculating residual methane involved genetic and phenotypic regression of methane production on a combination of DMI and ECM corrected for days in milk, parity, and experimental batch using phenotypes or direct genomic values. As direct genomic values (DGV) for DMI are not routinely evaluated in Australia at this time, DGV for FeedSaved, which is derived from DGV for residual feed intake and estimated breeding value for bodyweight, were used. Heritability estimates were calculated using univariate models, and correlations were estimated using bivariate models corrected for the fixed effects of year-batch, days in milk, and lactation number, and fitted using a genomic relationship matrix. Residual methane production candidate traits had low to moderate heritability (0.10 ± 0.09 to 0.21 ± 0.10), with residual methane production corrected for ECM being the highest. All definitions of residual methane were highly correlated phenotypically (>0.87) and genetically (>0.79) with one another and moderately to highly with other methane candidate traits (>0.59), with high standard errors. The results suggest that direct selection for a residual methane production trait would result in indirect, favorable improvement in all other methane traits. The high standard errors highlight the importance of expanding data sets by measuring more animals for their methane emissions and DMI, or through exploration of proxy traits and combining data via international collaboration.

      Key words

      INTRODUCTION

      The world has warmed by about 0.85°C (
      • IPCC
      Climate Change 2013: The Physical Science Basis. Contribution of Working Group Fifth Assessment Report of the Intergovernmental Panel on Climate Change.
      ) as greenhouse gases accumulate. When compared with the period between 1986 and 2005,
      • BOM
      Climate change in Australia: technical report, CSIRO Marine and Atmospheric Research.
      have modeled that annual average temperatures are projected to increase by 0.6 to 1.3°C by 2030. This may lead to longer times of drought, which is especially damaging to countries such as Australia (
      • BOM
      Climate change in Australia: technical report, CSIRO Marine and Atmospheric Research.
      ).
      Methane has approximately 28 times the global warming potential compared with CO2. Dairy cattle account for 20% of the global livestock sector's greenhouse gas emissions, and over half of this is from enteric methane emissions (
      • Gerber P.J.
      • Hristov A.N.
      • Henderson B.
      • Makkar H.
      • Oh J.
      • Lee C.
      • Meinen R.
      • Montes F.
      • Ott T.
      • Firkins J.
      • Rotz A.
      • Dell C.
      • Adesogan A.T.
      • Yang W.Z.
      • Tricarico J.M.
      • Kebreab E.
      • Waghorn G.
      • Dijkstra J.
      • Oosting S.
      Technical options for the mitigation of direct methane and nitrous oxide emissions from livestock: A review.
      ). In Australia, the dairy industry contributes only 1.8% to the national emissions inventory through on-farm activities (
      • NGGI (National Greenhouse Gas Inventory)
      National Greenhouse Gas Inventory UNFCCC classifications.
      ). The majority of the dairy industry's contribution (57%) is due to the production of enteric methane (). As a byproduct of feed fermentation in the rumen, enteric methane accounts for 89% of the methane generated by the cow (
      • Broucek J.
      Production of methane emissions from ruminant husbandry: A review.
      ). The long-term sustainability of the dairy industry is dependent on optimizing economic returns and ensuring a social license to operate by minimizing inefficiency and simultaneously increasing environmental consciousness (
      • Cardoso C.S.
      • Hötzel M.J.
      • Weary D.M.
      • Robbins J.A.
      • von Keyserlingk M.A.G.
      Imagining the ideal dairy farm.
      ), both of which are results of selecting for reduced methane in dairy cows.
      There is increasing pressure being placed on the dairy industry to improve efficiency and increase the sustainability of raising and maintaining cattle for dairy production, despite dairy cattle contributing only a moderate fraction of greenhouse gases emitted by the agriculture sector (
      • Rojas-Downing M.M.
      • Nejadhashemi A.P.
      • Harrigan T.
      • Woznicki S.A.
      Climate change and livestock: Impacts, adaptations, and mitigation.
      ). During the process of transforming human inedible plant material into energy, 6 to 11% of the energy in feed is lost as methane emissions (
      • Appuhamy J.A.
      • France J.
      • Kebreab E.
      Models for predicting enteric methane emissions from dairy cows in North America, Europe, and Australia and New Zealand.
      ). If methane production can be reduced, the saved feed-energy captured by the animal could potentially be redirected to economically important traits such as milk production, BW gain, or both (
      • Yan T.
      • Mayne C.S.
      • Gordon F.G.
      • Porter M.G.
      • Agnew R.E.
      • Patterson D.C.
      • Ferris C.P.
      • Kilpatrick D.J.
      Mitigation of enteric methane emissions through improving efficiency of energy utilization and productivity in lactating dairy cows.
      ;
      • Haque M.N.
      Dietary manipulation: A sustainable way to mitigate methane emissions from ruminants.
      ).
      Genetic selection is a permanent, cumulative solution to improve the dairy industry's sustainability with minimal additional cost or labor to farmers, especially compared with alternative methods such as feed additives and vaccinations. Although the magnitude of emissions expected to be reduced by selecting for low-methane cows appears small, the dairy industry has a social responsibility to reduce its emissions. Methane is a suitable candidate for reduction through genetic selection, with coefficients of genetic variation reported between 0.10 and 0.15, and heritability estimates ranging from 0.10 to 0.42 in dairy cattle, depending on the methane trait under investigation (
      • de Haas Y.
      • Windig J.J.
      • Calus M.P.L.
      • Dijkstra J.
      • de Haan M.
      • Bannink A.
      • Veerkamp R.F.
      Genetic parameters for predicted methane production and potential for reducing enteric emissions through genomic selection.
      ;
      • Pickering N.K.
      • Chagunda M.G.G.
      • Banos G.
      • Mrode R.
      • McEwan J.C.
      • Wall E.
      Genetic parameters for predicted methane production and laser methane detector measurements.
      ;
      • Lassen J.
      • Løvendahl P.
      Heritability estimates for enteric methane emissions from Holstein cattle measured using noninvasive methods.
      ).
      Modern breeding objectives in dairy cattle are focused on improving profitability, animal welfare, and environmental impact (
      • Miglior F.
      • Fleming A.
      • Malchiodi F.
      • Brito L.F.
      • Martin P.
      • Baes C.F.
      A 100-year review: Identification and genetic selection of economically important traits in dairy cattle.
      ). Although progress has been made in selecting for farmer profit and animal welfare, breeding goals for environmental traits are in their infancy. Indirectly, genetic selection has reduced the environmental impact of dairy cattle through the reduction in rearing periods, resulting from improvements in fertility and survival, and the dilution effect of increased production (
      • Knapp J.R.
      • Laur G.L.
      • Vadas P.A.
      • Weiss W.P.
      • Tricarico J.M.
      Invited review: Enteric methane in dairy cattle production: Quantifying the opportunities and impact of reducing emissions.
      ). For the dairy industry, the goal is to improve the overall sustainability of dairy production by reducing methane emissions without negatively affecting economically important traits. This may be achieved by including a methane trait in the national index that is independent of traits currently included in the overall breeding objective, such as residual methane production (RMP).
      Residual methane production has been proposed as a possible candidate trait for selection to reduce greenhouse gas emissions from dairy cattle (
      • Manzanilla-Pech C.I.V.
      • De Haas Y.
      • Hayes B.J.
      • Veerkamp R.F.
      • Khansefid M.
      • Donoghue K.A.
      • Arthur P.F.
      • Pryce J.E.
      Genomewide association study of methane emissions in Angus beef cattle with validation in dairy cattle.
      ;
      • de Haas Y.
      • Pszczola M.
      • Soyeurt H.
      • Wall E.
      • Lassen J.
      Invited review: Phenotypes to genetically reduce greenhouse gas emissions in dairying.
      ). Similar to residual feed intake (RFI), RMP is estimated as the difference between the actual and predicted methane output based on a subset of measured phenotypes. In contrast to methane production (MeP; kg/d), RMP is corrected for traits that highly influence methane outputs. The RMP has statistically favorable properties because it typically uncorrelated with the measured phenotypes used in its calculation and its response to selection may be accurately predicted (
      • de Haas Y.
      • Pszczola M.
      • Soyeurt H.
      • Wall E.
      • Lassen J.
      Invited review: Phenotypes to genetically reduce greenhouse gas emissions in dairying.
      ). Ratio traits such as methane yield (MeY) (kg/kg of DMI) and methane intensity (MeI; kg/kg of output) are undesirable for use in genetic evaluations due to the unexpected responses to selection, as it is unclear which constituent trait drives genetic progress (
      • de Haas Y.
      • Pszczola M.
      • Soyeurt H.
      • Wall E.
      • Lassen J.
      Invited review: Phenotypes to genetically reduce greenhouse gas emissions in dairying.
      ).
      In beef cattle, RMP is a moderately heritable trait (0.19) and is calculated based on a multiple linear regression of methane production on ADG and live weight (
      • Manzanilla-Pech C.I.V.
      • De Haas Y.
      • Hayes B.J.
      • Veerkamp R.F.
      • Khansefid M.
      • Donoghue K.A.
      • Arthur P.F.
      • Pryce J.E.
      Genomewide association study of methane emissions in Angus beef cattle with validation in dairy cattle.
      ; Velazco et al., 2016), which are both traits that highly influence methane production through a relationship to feed intake. Identifying traits to correct for in the definition of RMP in dairy cattle is a challenge, with milk production, BW, and feed intake seeming to have the greatest physiological effect on MeP (
      • de Haas Y.
      • Pszczola M.
      • Soyeurt H.
      • Wall E.
      • Lassen J.
      Invited review: Phenotypes to genetically reduce greenhouse gas emissions in dairying.
      ). The RMP traits are generally phenotypically independent of the influential traits they are corrected for; however, unaccounted for genetic interactions may still exist. By correcting for direct genomic values (DGV) of the influential traits, the calculated RMP traits are genetically independent of the influential traits, an attribute favorable for inclusion of the RMP trait in a selection index (
      • VanRaden P.M.
      • O'Connell J.R.
      • Connor E.E.
      • Vandehaar M.J.
      • Tempelman R.J.
      • Weigel K.A.
      Including feed intake data from U.S. Holsteins in genomic prediction.
      ). To date, the optimal method to calculate RMP has not yet been established.
      The objective of this research was to (1) define candidate RMP traits using a combination of genetic and phenotypic corrections for DMI and ECM, (2) estimate and compare the genetic parameters for the RMP candidate traits, and (3) determine the relationships between these RMP and other methane traits (MeP, MeY, and MeI), as well as ECM and DMI.

      MATERIALS AND METHODS

      All experiments in the present study were approved and undertaken in accordance with the Australian Code of Practice for the Care and Use of Animals for Scientific Purposes (
      • NHMRC (National Health and Medical Research Council)
      Australian code for the care and use of animals for scientific purposes.
      ). Approval to proceed was granted by the Agricultural Research and Extension Animal Ethics Committee of the Department of Jobs, Precincts and Regions (DJPR, 475 Mickleham Road, Attwood, Victoria 3049, Australia).

      Phenotypes

      Methane and DMI.

      A total of 1,712 individual cow methane and DMI measurements were obtained from 379 cows measured over a 5-d period from 12 experimental batches across 5 yr from 2013 to 2017. Each batch consisted of 22 to 36 animals, and no animals were repeated between batches. Cows were located at the Ellinbank SmartFarm (Ellinbank, Victoria, Australia) and milked twice per day. Measurements for MeP were performed using the SF6 tracer method previously described by
      • Deighton M.H.
      • Williams S.R.O.
      • Hannah M.C.
      • Eckard R.J.
      • Boland T.M.
      • Wales W.J.
      • Moate P.J.
      A modified sulphur hexafluoride tracer technique enables accurate determination of enteric methane emissions from ruminants.
      . Individual feed intakes were measured for the 5-d methane measurement period using an electronic feed recording system (Gallagher Animal Management Systems, Hamilton, New Zealand). Records for methane and DMI were averaged to obtain 1 weekly observation per animal for each phenotype to account for day-to-day variation (
      • Moate P.J.
      • Deighton M.H.
      • Williams S.R.O.
      • Pryce J.E.
      • Hayes B.J.
      • Jacobs J.L.
      • Eckard R.J.
      • Hannah M.C.
      • Wales W.J.
      Reducing the carbon footprint of Australian milk production by mitigation of enteric methane emissions.
      ). Animals were between 68 and 187 DIM at the start of measurement, and across parities 1 to 9. Methane yield was calculated as the 5-d average kg of methane per kg of DMI, and methane intensity as the 5-d average kg of methane per kg of ECM. Daily milk records were available throughout the recording period, with fat and protein percentages obtained through mid-infrared spectroscopy. Energy corrected milk (kg/d) was calculated using Equation 1 (
      • Tyrrell H.F.
      • Reid J.T.
      Prediction of the energy value of cow's milk.
      ) as follows:
      ECM=milkyield(kg)×[376×fat(%)+209×protein(%)+948]3,138.
      [1]


      In addition to calculating ECM with phenotypes collected as part of the study, we also calculated ECM from DGV so that we could investigate the phenotypic and genetic correction of ECM. Therefore, Equation 1 was adjusted for the use of DGV as follows:
      ECM={(6,861+DGVmilkyield)×[376×(4.0+DGVfat%)+209×(3.3×DGVprotein%)+948]}/3,138,
      [2]


      The DGV for the 379 animals used in this study were estimated as part of the routine genetic evaluation service of DataGene Ltd. (Bundoora, Victoria, Australia) using a data repository that contained 200 million herd test records at the time of this study, and that continues to increase by 2.9 million herd test records annually (
      • Newton J.E.
      • Nettle R.
      • Pryce J.E.
      Farming smarter with big data: Insights from the case of Australia's national dairy herd milk recording scheme.
      ). As DataGene does not calculate DGV for ECM as part of the national service, DGV for ECM were calculated using Equation 2, where phenotypic measurements for milk, fat, and protein in Equation 1 were replaced for milk, fat, and protein DGV that were readjusted for the baseline trait means. FeedSaved (FS) is derived from DGV for RFI, and from EBV for BW (
      • Pryce J.E.
      • Gonzalez-Recio O.
      • Nieuwhof G.
      • Wales W.J.
      • Coffey M.P.
      • Hayes B.J.
      • Goddard M.E.
      Hot topic: Definition and implementation of a breeding value for feed efficiency in dairy cows.
      ).
      Descriptive statistics for phenotypes are presented in Table 1. The distributions of residuals were checked for normality, skewness, and kurtosis, and no outliers were detected. Outliers were defined as observations more than 3 standard deviations away from the mean.
      Table 1Descriptive statistics of the data set used in this study
      Trait
      MeP = methane production; MeY = methane yield; MeI = methane intensity; FS = FeedSaved direct genomic value; ECM_BV = ECM direct genomic value.
      UnitNo. of cowsMeanSDMinimumMaximum
      MePg of methane/d379469.0081.03230.80753.90
      MeYg of methane/kg of DMI37919.003.4410.6631.00
      MeIg of methane/ kg of ECM37918.153.828.5832.08
      DMIkg/d37924.663.1814.5932.33
      ECM
      Calculated using methods of Tyrrell and Reid (1965).
      kg/d37925.734.0813.5039.34
      FSkg37939.8678.62−191.50316.40
      ECM_BVkg37912.6069.57−185.37187.58
      1 MeP = methane production; MeY = methane yield; MeI = methane intensity; FS = FeedSaved direct genomic value; ECM_BV = ECM direct genomic value.
      2 Calculated using methods of
      • Tyrrell H.F.
      • Reid J.T.
      Prediction of the energy value of cow's milk.
      .

      Alternate Definitions of RMP

      The aim of assessing these alternate definitions of RMP was to develop an RMP trait that may be easily incorporated in a breeding program and included in a national selection index. To achieve this, 9 selection criteria were considered (Table 2). It is often assumed that there is no correlation between a residual trait and the influential traits used in its calculation; however, genetic correlations may still exist. To account for these possible genetic correlations, a correction for the currently available DGV of traits of interest has been proposed (
      • VanRaden P.M.
      • O'Connell J.R.
      • Connor E.E.
      • Vandehaar M.J.
      • Tempelman R.J.
      • Weigel K.A.
      Including feed intake data from U.S. Holsteins in genomic prediction.
      ). As DGV for DMI are not routinely evaluated in Australia at this time, DGV for FS, the current trait designed to breed for feed efficiency in Australia (
      • Pryce J.E.
      • Gonzalez-Recio O.
      • Nieuwhof G.
      • Wales W.J.
      • Coffey M.P.
      • Hayes B.J.
      • Goddard M.E.
      Hot topic: Definition and implementation of a breeding value for feed efficiency in dairy cows.
      ), were used. The FS trait combines the lifetime RFI of the animal, calculated as a weighted average of the calf and lactating cow RFI, and the maintenance energy requirement of the animal estimated through BW (
      • Pryce J.E.
      • Gonzalez-Recio O.
      • Nieuwhof G.
      • Wales W.J.
      • Coffey M.P.
      • Hayes B.J.
      • Goddard M.E.
      Hot topic: Definition and implementation of a breeding value for feed efficiency in dairy cows.
      ). Therefore, for individuals with similar milk production EBV, those that save more feed (i.e., that have higher EBV for FS) have lower requirements for feed, predicted using a combination of RFI and BW as a proxy of maintenance.
      Table 2Definitions of 9 residual methane production (RMP) candidate traits
      AbbreviationEquation
      RMPDMI
      RMPDMI = RMP phenotypically corrected for DMI; MeP = gross methane production (g/d); and bDMI = the linear regression coefficient of MeP on DMI.
      = MeP − (bDMI × DMI)
      RMPFS
      RMPFS = RMP genotypically corrected for FS; FS = the FeedSaved direct genomic value; bFS = the linear regression coefficient of MeP on FS.
      = MeP − (bFS × FS)
      RMPDMI.FS
      RMPDMI.FS = RMP phenotypically corrected for DMI and genotypically corrected for FS.
      = MeP − (bDMI × DMI + bFS × FS)
      RMPpECM
      RMPpECM = RMP phenotypically corrected for ECM; bpECM = the linear regression coefficient of MeP on ECM.
      = MeP − (bpECM × ECM)
      RMPgECM
      RMPgECM = residual methane production genotypically corrected for ECM; ECM_BV = the direct genomic value of ECM; bgECM = the linear regression coefficient of MeP on ECM direct genomic value.
      = MeP − (bgECM × ECM_BV)
      RMPpECM.gECM
      RMPpECM.gECM = RMP phenotypically and genotypically corrected for ECM.
      = MeP − (bpECM × ECM + bgECM × ECM_BV)
      RMPDMI.pECM
      RMPDMI.pECM = RMP phenotypically corrected for DMI and ECM.
      = MeP − (bDMI × DMI + bpECM × ECM)
      RMPFS.gECM
      RMPFS.gECM = residual methane production genotypically corrected for ECM and FS.
      = MeP − (bFS × FS + bgECM × ECM_BV)
      RMPDMI.FS.pECM.gECM
      RMPDMI.FS.pECM.gECM = RMP phenotypically corrected for DMI and ECM and genotypically corrected for ECM and FS.
      = MeP − (bDMI × DMI + bpECM × ECM + bFS × FS + bgECM × ECM_BV)
      1 RMPDMI = RMP phenotypically corrected for DMI; MeP = gross methane production (g/d); and bDMI = the linear regression coefficient of MeP on DMI.
      2 RMPFS = RMP genotypically corrected for FS; FS = the FeedSaved direct genomic value; bFS = the linear regression coefficient of MeP on FS.
      3 RMPDMI.FS = RMP phenotypically corrected for DMI and genotypically corrected for FS.
      4 RMPpECM = RMP phenotypically corrected for ECM; bpECM = the linear regression coefficient of MeP on ECM.
      5 RMPgECM = residual methane production genotypically corrected for ECM; ECM_BV = the direct genomic value of ECM; bgECM = the linear regression coefficient of MeP on ECM direct genomic value.
      6 RMPpECM.gECM = RMP phenotypically and genotypically corrected for ECM.
      7 RMPDMI.pECM = RMP phenotypically corrected for DMI and ECM.
      8 RMPFS.gECM = residual methane production genotypically corrected for ECM and FS.
      9 RMPDMI.FS.pECM.gECM = RMP phenotypically corrected for DMI and ECM and genotypically corrected for ECM and FS.
      In total, 9 different definitions of RMP were tested based on a combination of DMI, FS, and ECM corrections. These were:

      1. Correction of Methane for DMI.

      RMPDMI = MeP − (bDMI × DMI),
      [3]


      where RMPDMI is RMP phenotypically corrected for DMI; MeP is gross methane production (g/d); DMI is measured in kilograms per day; and bDMI is the linear regression coefficient of MeP on DMI.

      2. Correction of Methane for the DGV of FS.

      RMPFS = MeP − (bFS × FS),
      [4]


      where RMPFS is RMP genotypically corrected for FS; bFS is the linear regression coefficient of MeP on FS; and MeP is as described above.

      3. Correction of Methane for DMI and the DGV of FS.

      RMPDMI.FS = MeP − (bDMI × DMI + bFS × FS),
      [5]


      where RMPDMI.FS is RMP phenotypically corrected for DMI and genotypically corrected for FS; and MeP, bDMI, DMI, bFS, and FS are as described above.

      4. Correction of Methane for ECM.

      RMPpECM = MeP − (bpECM × ECM),
      [6]


      where RMPpECM is RMP phenotypically corrected for ECM; ECM is measured in kilograms per day; bpECM is the linear regression coefficient of MeP on ECM; and MeP is as described above.

      5. Correction of Methane for the DGV of ECM.

      RMPgECM = MeP − (bgECM × ECM_BV),
      [7]


      where RMPgECM is residual methane production genotypically corrected for ECM; ECM_BV is the DGV of ECM; bgECM is the linear regression coefficient of MeP on ECM direct genomic value; and MeP is as described above.

      6. Correction of Methane for ECM and the DGV of ECM.

      RMPpECM.gECM = MeP − (bpECM × ECM + bgECM × ECM_BV),
      [8]


      where RMPpECM.gECM is RMP phenotypically and genotypically corrected for ECM; and MeP, bpECM, ECM, bgECM, and ECM_BV are as described above.

      7. Correction of Methane for DMI and ECM.

      RMPDMI.ECM = MeP − (bDMI × DMI + bpECM × ECM),
      [9]


      where RMPDMI.ECM is RMP phenotypically corrected for DMI and ECM; and MeP, bDMI, DMI, bpECM, and ECM are as described above.

      8. Correction of Methane for the DGV of ECM and FS.

      RMPFS.gECM = MeP − (bFS × FS + bgECM × ECM_BV),
      [10]


      where RMPFS.gECM is residual methane production genotypically corrected for ECM and FS; and MeP, bFS, FS, bgECM, and ECM_BV are as described above.

      9. Correction of Methane for ECM, DMI, and the DGV of ECM and FS.

      RMPDMI.FS.pECM.gECM = MeP – (bDMI × DMI + bpECM × ECM + bFS × FS + bgECM × ECM_BV),
      [11]


      where RMPDMI.FS.pECM.gECM is RMP phenotypically corrected for DMI and ECM and genotypically corrected for ECM and FS; and MeP, bDMI, DMI, bpECM, ECM, bFS, FS, bgECM, and ECM_BV are as described above.

      Genomic Analysis

      Genotypes for the 379 animals used in this study were from the routine genomic evaluation system of DataGene Ltd., comprising 47,162 single nucleotide polymorphism markers; the editing procedure used is similar to
      • Erbe M.
      • Hayes B.J.
      • Matukumalli L.K.
      • Goswami S.
      • Bowman P.J.
      • Reich C.M.
      • Mason B.A.
      • Goddard M.E.
      Improving accuracy of genomic predictions within and between dairy cattle breeds with imputed high-density single nucleotide polymorphism panels.
      . A genomic relationship matrix (G) was constructed following the method of
      • Yang J.
      • Benyamin B.
      • McEvoy N.P.
      • Gordon S.
      • Henders A.K.
      • Nyholt D.R.
      • Madden P.A.
      • Heath A.C.
      • Martin N.G.
      • Montgomery G.W.
      • Goddard M.E.
      • Visscher P.M.
      Common SNPs explain a large proportion of the heritability for human height.
      . Principal component analysis of G was performed in R using the prcomp function in the stats package to confirm that no subpopulations were present in the data set (
      • R Core Team
      R: A Language and Environment for Statistical Computing..
      ).

      Estimating Genetic Parameters

      Univariate and bivariate analysis were performed to estimate genetic parameters using the ASREML 4.1 software program (
      • Gilmour A.R.
      • Gogel B.J.
      • Cullis B.R.
      • Welham S.J.
      • Thompson R.
      ASReml User Guide Release 4.1 Structural Specification..
      ). Genetic parameters were estimated for RMP and associated traits using models that corrected for the fixed effects of lactation number (where lactations numbers were 1, 2, 3, and 4+, hence merging all lactations after the third lactation), DIM as the midpoint of the 5-d test period, and year × batch interaction. Linear and quadratic effects were tested for DIM, DMI, and ECM. Only the linear effect was significant (P < 0.05) for ECM and DMI, with the linear and quadratic effects significant for DIM.
      Heritability and variance components were estimated for each trait using the same univariate linear animal model for all traits as follows:
      yijkl = μ + YBi + DIMj + DIM2j + LNk + gl + eijkl,


      where yijkl is each trait (MeP, MeY, MeI, RMP definitions 1–9, ECM or DMI); μ is the overall mean; YBi is the effect of ith year × batch interaction; DIMj is the linear effect; DIM2j the quadratic effect of jth DIM; LNk is the effect of kth lactation; gl is the random additive genetic effect of lth animal, gl~N(0,Gσg2), where G is the genomic relationship matrix and σg2 is the additive genetic variance; and eijkl is the random residual effect, eijkl~N(0,Iσe2), where I is the identity matrix and σe2 is error variance. As all records originated from the same season (spring), we did not include a month or season effect in the model.
      Bivariate analyses were performed to estimate genetic and phenotypic correlations between the 9 RMP trait definitions, the 9 RMP traits and other methane candidate traits (MeP, MeY, MeI), and all methane candidate traits and ECM and DMI. The same model as previously described was used to perform the analysis for each pair of traits.

      RESULTS

      The aim of this study was to define and compare 9 candidate RMP traits. The defined traits were developed by correcting for traits of influence on MeP and for compatibility with the national selection index. Therefore, the proposed definitions of RMP are a combination of phenotypic and genetic corrections for DMI and ECM. The relationship between the 9 RMP trait definitions and other methane candidate traits, ECM, and DMI were then compared for identification of a future selection criterion.

      Heritability Estimates

      Genetic parameters for RMP candidate traits are shown in Table 3. Heritability estimates of RMP traits were low to moderate with RMPFS.gECM and RMPgECM being the least heritable (0.11 ± 0.10) and RMPpECM being the most heritable trait (0.21 ± 0.11). Heritability estimates for RMPDMI, RMPFS.DMI, RMPDMI.pECM, and RMPDMI.FS.pECM.gECM were all 0.18 ± 0.11, and were 0.15 ± 0.11 and 0.19 ± 0.11 for RMPFS and RMPpECM.gECM, respectively. Heritability for MeP, MeY, MeI, DMI and ECM was estimated as 0.16 ± 0.11, 0.23 ± 0.12, 0.33 ± 0.12, 0.33 ± 0.13, and 0.29 ± 0.13, respectively.
      Table 3Genetic parameters for measures of residual methane production; heritability
      Heritability estimates were calculated using univariate models and correlations were estimated using bivariate models, where σg is the genetic standard deviation..
      is presented on the diagonal with genetic correlation above and phenotypic correlations below
      Item
      RMPDMI = residual methane production phenotypically corrected for DMI; RMPFS= residual methane production genotypically corrected for FeedSaved (FS); RMPDMI.FS= residual methane genotypically corrected for FS and phenotypically corrected for DMI; RMPpECM = residual methane production phenotypically corrected for ECM; RMPgECM = residual methane production genotypically corrected for ECM breeding values; RMPpECM.gECM= residual methane genotypically and phenotypically corrected for ECM; RMPDMI.pECM= residual methane phenotypically corrected for DMI and ECM; RMPFS.gECM= residual methane genotypically corrected for FS and ECM; RMPDMI.FS.pECM.gECM= residual methane genotypically corrected for FS, phenotypically corrected for DMI, and genotypically and phenotypically corrected for ECM.
      σgRMPDMIRMPFSRMPDMI.FSRMPpECMRMPgECMRMPpECM.gECMRMPDMI.pECMRMPFS.gECMRMPDMI.FS.pECM.gECM
      RMPDMI28.400.18 ± 0.110.77 ± 0.180.99 ± NE
      NE = not estimable.
      0.81 ± 0.120.87 ± 0.120.83 ± 0.120.99 ± 0.000.98 ± 0.120.99 ± 0.00
      RMPFS26.480.87 ± 0.010.15 ± 0.110.78 ± 0.180.92 ± 0.080.87 ± 0.120.82 ± 0.120.78 ± 0.170.90 ± 0.090.71 ± 0.21
      RMPDMI.FS27.140.99 ± NE
      NE = not estimable.
      0.87 ± 0.010.18 ± 0.110.81 ± 0.120.93 ± 0.130.83 ± 0.120.99 ± NE0.98 ± 0.120.99 ± 0.00
      RMPpECM32.070.92 ± 0.010.93 ± 0.010.92 ± 0.010.21 ± 0.110.99 ± 0.090.99 ± 0.010.82 ± 0.120.99 ± 0.100.80 ± 0.13
      RMPgECM24.780.98 ± 0.000.98 ± 0.000.88 ± 0.010.94 ± 0.010.11 ± 0.100.99 ± 0.070.95 ± 0.120.98 ± 0.020.93 ± 0.12
      RMPpECM.gECM27.270.92 ± 0.010.93 ± 0.010.93 ± 0.010.99 ± 0.000.95 ± 0.000.19 ± 0.110.84 ± 0.110.98 ± 0.070.83 ± 0.11
      RMPDMI.pECM28.220.99 ± 0.000.87 ± 0.010.99 ± 0.000.93 ± 0.010.88 ± 0.010.93 ± 0.010.18 ± 0.110.99 ± 0.120.99 ± 0.00
      RMPFS.gECM23.580.88 ± 0.010.99 ± 0.000.88 ± 0.010.94 ± 0.000.99 ± 0.000.95 ± 0.010.89 ± 0.010.11 ± 0.100.98 ± 0.12
      RMPDMI.FS.pECM.gECM27.770.99 ± NE0.87 ± 0.010.99 ± NE0.93 ± 0.010.88 ± 0.010.93 ± 0.010.99 ± 0.000.88 ± 0.010.18 ± 0.11
      1 Heritability estimates were calculated using univariate models and correlations were estimated using bivariate models, where σg is the genetic standard deviation..
      2 RMPDMI = residual methane production phenotypically corrected for DMI; RMPFS= residual methane production genotypically corrected for FeedSaved (FS); RMPDMI.FS= residual methane genotypically corrected for FS and phenotypically corrected for DMI; RMPpECM = residual methane production phenotypically corrected for ECM; RMPgECM = residual methane production genotypically corrected for ECM breeding values; RMPpECM.gECM= residual methane genotypically and phenotypically corrected for ECM; RMPDMI.pECM= residual methane phenotypically corrected for DMI and ECM; RMPFS.gECM= residual methane genotypically corrected for FS and ECM; RMPDMI.FS.pECM.gECM= residual methane genotypically corrected for FS, phenotypically corrected for DMI, and genotypically and phenotypically corrected for ECM.
      3 NE = not estimable.

      Genetic Correlations Between RMP Traits

      High phenotypic and genetic correlations were observed between RMP traits (Table 3). The genetic correlations between RMPDMI and RMPFS, RMPDMI and RMPDMI.FS, and RMPFS and RMPDMI.FS were 0.77 ± 0.18, 0.99 ± not estimable, and 0.78 ± 0.18, respectively. The genetic correlations between traits corrected for ECM was 0.99 ± 0.09 between RMPgECM and RMPpECM, 0.99 ± 0.001 between RMPpECM and RMPpECM.gECM, and 0.99 ± 0.07 between RMPgECM and RMPpECM.gECM. High genetic correlations were observed ranging from 0.98 ± 0.02 to 0.99 ± 0.002 between RMPDMI.pECM, RMPFS.gECM, and RMPDMI.FS.pECM.gECM.

      Genetic Correlations Between Phenotypically and Genotypically Corrected Traits

      Genetic correlations between all RMP traits corrected for trait DGV ranged from 0.87 ± 0.12 to 0.99 ± 0.001 (Table 3). Genetic correlations between traits phenotypically corrected for DMI, ECM, or both ranged from 0.81 ± 0.12 to 0.99 ± 0.001. The RMPpECM.gECM was highly correlated with other traits corrected both phenotypically and genetically, with a genetic correlation with RMPDMI.FS.pECM.gECM and RMPDMI.FS of 0.83 ± 0.11 and 0.83 ± 0.12, respectively. However, the genetic correlation between RMPDMI.FS.pECM.gECM and RMPDMI.FS was stronger (0.99 ± 0.002). Standard errors were not possible to obtain when estimating the genetic correlation between RMPFS.DMI and RMPDMI.pECM and the phenotypic correlation between RMPDMI.FS.pECM.gECM and RMPDMI, as these 2 correlations were very close to 1.

      Correlations Between Methane Candidate Traits

      The genetic and phenotypic correlation between measures of RMP and MeP, MeY, and MeI were moderate to high (≥0.52 ± 0.30 for genetic and ≥ 0.63 ± 0.03 for phenotypic correlations, respectively; Table 4). The MeP had the strongest genetic correlation with RMPFS (0.97 ± 0.02), and the weakest with RMPDMI.FS.pECM.gECM (0.66 ± 0.23). The MeY had the strongest genetic correlation with RMPDMI.FS.pECM.gECM (0.95 ± 0.04) and weakest with RMPFS (0.52 ± 0.30). The MeI had the highest genetic correlation with RMPFS.gECM (0.97 ± 0.37) and, considering standard errors, RMPpECM.gECM (0.91 ± 0.09) and weakest with RMPFS of 0.64 ± 0.25.
      Table 4Genetic (rg) and phenotypic (rp) correlations between gross methane, methane yield, methane intensity, and residual methane traits; parameters were estimated using bivariate models
      MeP = methane production; MeY = methane yield; MeI = methane intensity.
      Residual methane trait
      RMPDMI = residual methane production phenotypically corrected for DMI; RMPFS= residual methane production genotypically corrected for FeedSaved (FS); RMPDMI.FS= residual methane genotypically corrected for FS and phenotypically corrected for DMI; RMPpECM = residual methane production phenotypically corrected for ECM; RMPgECM = residual methane production genotypically corrected for ECM breeding values; RMPpECM.gECM= residual methane genotypically and phenotypically corrected for ECM; RMPDMI.pECM= residual methane phenotypically corrected for DMI and ECM; RMPFS.gECM= residual methane genotypically corrected for FS and ECM; RMPDMI.FS.pECM.gECM= residual methane genotypically corrected for FS, phenotypically corrected for DMI, and genotypically and phenotypically corrected for ECM.
      rg MePrp MePrg MeYrp MeYrg MeIrp MeI
      RMPDMI.FS.pECM.gECM0.66 (0.23)0.87 (0.01)0.95 (0.04)0.95 (0.01)0.82 (0.14)0.79 (0.02)
      RMPFS.gECM0.88 (0.09)0.98 (0.002)0.79 (0.25)0.72 (0.03)0.97 (0.37)0.66 (0.03)
      RMPDMI.pECM0.72 (0.19)0.87 (0.01)0.93 (0.05)0.95 (0.01)0.80 (0.15)0.80 (0.02)
      RMPpECM.gECM0.81 (0.13)0.93 (0.01)0.66 (0.20)0.81 (0.02)0.91 (0.09)0.85 (0.01)
      RMPgECM0.90 (0.08)0.99 (0.00)0.73 (0.26)0.72 (0.03)0.86 (0.23)0.66 (0.03)
      RMPpECM0.89 (0.08)0.93 (0.01)0.60 (0.23)0.81 (0.02)0.86 (0.09)0.85 (0.01)
      RMPDMI.FS0.71 (0.20)0.87 (0.01)0.94 (0.05)0.95 (0.01)0.79 (0.15)0.78 (0.02)
      RMPFS0.97 (0.02)0.99 (0.00)0.52 (0.30)0.70 (0.03)0.64 (0.25)0.63 (0.03)
      RMPDMI0.72 (0.20)0.87 (0.01)0.93 (0.04)0.95 (0.01)0.79 (0.15)0.79 (0.02)
      1 MeP = methane production; MeY = methane yield; MeI = methane intensity.
      2 RMPDMI = residual methane production phenotypically corrected for DMI; RMPFS= residual methane production genotypically corrected for FeedSaved (FS); RMPDMI.FS= residual methane genotypically corrected for FS and phenotypically corrected for DMI; RMPpECM = residual methane production phenotypically corrected for ECM; RMPgECM = residual methane production genotypically corrected for ECM breeding values; RMPpECM.gECM= residual methane genotypically and phenotypically corrected for ECM; RMPDMI.pECM= residual methane phenotypically corrected for DMI and ECM; RMPFS.gECM= residual methane genotypically corrected for FS and ECM; RMPDMI.FS.pECM.gECM= residual methane genotypically corrected for FS, phenotypically corrected for DMI, and genotypically and phenotypically corrected for ECM.

      Correlations of Methane Definitions with ECM and DMI

      Genetic Correlations.

      The only methane candidate trait that had a significant genetic correlation with DMI was MeY (−0.60 ± 0.25), and with ECM was MeI (−0.73 ± 0.18; Table 5). Standard errors for genetic correlations between methane candidate traits and ECM and DMI were high; therefore, the genetic correlations will not be considered further.
      Table 5Genetic (rg) and phenotypic (rp) correlations between ECM and DMI with gross methane, methane yield, methane intensity, and residual methane traits; parameters were estimated using bivariate models and standard errors are presented in parentheses
      Trait
      MeP = methane production; MeY = methane yield; MeI = methane intensity; RMPDMI = residual methane production phenotypically corrected for DMI; RMPFS= residual methane production genotypically corrected for FeedSaved (FS); RMPDMI.FS = residual methane genotypically corrected for FS and phenotypically corrected for DMI; RMPpECM = residual methane production phenotypically corrected for ECM; RMPgECM = residual methane production genotypically corrected for ECM breeding values; RMPpECM.gECM= residual methane genotypically and phenotypically corrected for ECM; RMPDMI.pECM= residual methane phenotypically corrected for DMI and ECM; RMPFS.gECM= residual methane genotypically corrected for FS and ECM; RMPDMI.FS.pECM.gECM= residual methane genotypically corrected for FS, phenotypically corrected for DMI, and genotypically and phenotypically corrected for ECM.
      rg DMIrp DMIrg ECMrp ECM
      MeP0.42 (0.30)0.49 (0.04)−0.08 (0.39)0.35 (0.05)
      MeY−0.60 (0.25)−0.27 (0.05)−0.53 (0.33)−0.17 (0.05)
      MeI−0.29 (0.26)−0.11 (0.05)−0.73 (0.18)−0.47 (0.04)
      RMPDMI−0.29 (0.36)−0.01 (0.05)−0.37 (0.41)0.01 (0.05)
      RMPFS0.31 (0.35)0.47 (0.04)−0.05 (0.46)0.34 (0.05)
      RMPDMI.FS−0.30 (0.36)−0.01 (0.05)−0.38 (0.41)0.01 (0.05)
      RMPpECM0.14 (0.34)0.26 (0.05)−0.50 (0.38)−0.02 (0.05)
      RMPgECM0.05 (0.46)0.44 (0.04)−0.41 (0.62)0.30 (0.05)
      RMPpECM.gECM0.01(0.36)0.26 (0.05)−0.49 (0.38)−0.00 (0.05)
      RMPDMI.pECM−0.29 (0.36)−0.01 (−0.05)−0.38 (0.40)−0.00 (0.05)
      RMPFS.gECM−0.03 (0.49)0.43 (0.04)−0.53 (0.70)0.29 (0.04)
      RMPDMI.FS.pECM.gECM−0.36 (0.36)−0.01 (0.05)−0.46 (0.41)−0.00 (0.05)
      1 MeP = methane production; MeY = methane yield; MeI = methane intensity; RMPDMI = residual methane production phenotypically corrected for DMI; RMPFS= residual methane production genotypically corrected for FeedSaved (FS); RMPDMI.FS = residual methane genotypically corrected for FS and phenotypically corrected for DMI; RMPpECM = residual methane production phenotypically corrected for ECM; RMPgECM = residual methane production genotypically corrected for ECM breeding values; RMPpECM.gECM= residual methane genotypically and phenotypically corrected for ECM; RMPDMI.pECM= residual methane phenotypically corrected for DMI and ECM; RMPFS.gECM= residual methane genotypically corrected for FS and ECM; RMPDMI.FS.pECM.gECM= residual methane genotypically corrected for FS, phenotypically corrected for DMI, and genotypically and phenotypically corrected for ECM.

      Phenotypic Correlations.

      The phenotypic correlations between DMI and MeP, MeY, and MeI were 0.49 ± 0.04, −0.27 ± 0.05, and −0.11 ± 0.05, respectively (Table 4). The RMP traits that were phenotypically corrected for DMI, RMPDMI, RMPDMI.ECM, and RMPDMI.FS.pECM.gECM, had no significant correlations to DMI. In contrast, RMPFS had a phenotypic correlation of 0.47 ± 0.04 with DMI. Energy corrected milk was phenotypically correlated with MeP (0.35 ± 0.05), MeY (−0.17 ± 0.05), and MeI (−0.47 ± 0.04). Phenotypic correlations were found between RMPgECM and ECM (0.30 ± 0.05), but were not significant between ECM and RMPpECM, RMPDMI.pECM, RMPDMI.FS.pECM.gECM, and RMPDMI. All other calculated phenotypic and genotypic correlations between ECM, DMI, and the various RMP traits were not significant (P > 0.05).

      DISCUSSION

      In this research, we compared 9 methods of calculating RMP traits, adjusting phenotypically and genotypically for influential traits (DMI and ECM). The estimated genetic parameters for the defined RMP traits were then compared for all RMP traits as well as the other methane candidate traits. The overall aim was to identify a candidate methane trait for inclusion in the Australian national breeding program that would reduce the environmental impact of dairy cattle without severely affecting other valuable traits such as production, health, and fertility. The trait should also have the ability to be measured on a large number of individuals and be computationally simple.

      Including Methane in Breeding Programs

      As decreasing net emissions may result in a decrease in overall production or general efficiency (
      • Hayes B.J.
      • Lewin H.A.
      • Goddard M.E.
      The future of livestock breeding: Genomic selection for efficiency, reduced emissions intensity, and adaptation.
      ), there is a lack of consensus on management strategies to lower the environmental impact of dairy cattle. However, net emissions will continue to grow proportionally to total dairy production, which is linked to increasing consumer demand for dairy products as the human population increases. Therefore, reducing MeP by reducing milk production is undesirable.
      Traditionally, there are many accepted trait definitions to consider for methane when exploring candidate traits for genetic selection, including gross, ratio, and residual. If there is an implied or real economic cost attached to MeP, it might seem simplest to include MeP in the breeding objective and to publish an EBV for this trait. By considering the economic weights of other traits and the genetic parameters of all traits, an efficient selection index could be derived. However, advising dairy producers to select for a trait (i.e., low MeP) that is unfavorably correlated with milk yield might lead to confusion and lack of adoption. Therefore, we have investigated composite traits that could be included in the index without creating this problem.
      Ratio traits allow for the consideration of multiple components in a trait definition that is convenient for industry interpretation. However, the application of ratio traits in genetics is contested (
      • Berry D.P.
      • Crowley J.J.
      Cell biology symposium: Genetics of feed efficiency in dairy and beef cattle.
      ) because the complex statistical properties of ratio traits may lead to unfavorable correlations (i.e., MeI may be unfavorably correlated with ECM, which is the denominator of the MeI ratio). In the case of feed efficiency,
      • Kennedy B.W.
      • van der Werf J.H.
      • Meuwissen T.H.
      Genetic and statistical properties of residual feed intake.
      suggested RFI as a linearization of feed conversion efficiency (kg of milk/kg of DMI). This process was developed to avoid the use of ratio traits in genetic evaluation, as responses to selection are difficult to predict. In cases when the heritability estimates of the involved traits are similar, it is unclear which constituents of the ratio are being altered by selection pressures (
      • Gunsett F.C.
      Linear index selection to improve traits defined as ratios.
      ).
      The argument for using residuals as a linearization of ratio traits has been deeply reviewed (
      • van der Werf J.H.J.
      Is it useful to define residual feed intake as a trait in animal breeding programs?.
      ;
      • Berry D.P.
      • Crowley J.J.
      Cell biology symposium: Genetics of feed efficiency in dairy and beef cattle.
      ;
      • Hurley A.M.
      • López-Villalobos N.
      • McParland S.
      • Lewis E.
      • Kennedy E.
      • O'Donovan M.
      • Burke J.L.
      • Berry D.P.
      Genetics of alternative definitions of feed efficiency in grazing lactating dairy cows.
      ). There are both benefits and drawbacks, which are dependent on the traits being defined and the desired breeding objective. In the case of methane, a lower environmental impact that does not increase expenses or decrease profitability is required. To demonstrate this, RMP traits were compared with the ratio traits MeY and MeI.

      Defining RMP

      In this research, various definitions of residual methane have been explored in an attempt to identify traits with characteristics and interactions feasible for a potential national methane breeding objective. Our research explored 9 possible definitions of RMP, all of which were found to have genetic parameters within the range of previously recorded traits of similar construct (h2 = 0.1–0.3;
      • Manzanilla-Pech C.I.V.
      • De Haas Y.
      • Hayes B.J.
      • Veerkamp R.F.
      • Khansefid M.
      • Donoghue K.A.
      • Arthur P.F.
      • Pryce J.E.
      Genomewide association study of methane emissions in Angus beef cattle with validation in dairy cattle.
      ;
      • van Engelen S.
      • Bovenhuis H.
      • van der Tol P.P.J.
      • Visker M.H. P.W.
      Genetic background of methane emissions by Dutch Holstein Friesian cows measured by infrared sensors in automatic milking system.
      ;
      • Breider I.S.
      • Wall E.
      • Garnsworthy P.C.
      Heritability of methane production and genetic correlations with milk yield and body weight in Holstein-Friesian dairy cows.
      ). Correlations between the RMP traits (>0.78 ± 0.18) as well as with methane candidate traits (>0.53 ± 0.30) were favorable; therefore, it is possible that selection for 1 methane trait may lead to indirect progress in all methane candidate traits. All RMP traits are highly genetically correlated (>0.85), suggesting that differences between correction terms were small and that the choice of trait to be included in the breeding objective can be determined on nongenetic aspects (e.g., measurability and practicality of data collection).
      Due to these circumstances, RMPpECM is proposed as a selection criterion for dairy breeding programs. Although any RMP may be difficult to describe to producers, RMPpECM is the most heritable of the RMP traits (0.21 ± 0.10) and is appealing due to its strong statistical properties and ease of inclusion in a selection index. The RMPpECM and MeI capture similar variations with a genetic correlation of 0.86 ± 0.09. The benefit of RMPpECM is that it may be simply incorporated into an index. Additionally, the genetic correlation between RMPpECM and MeP showed that selecting for RMPpECM will reduce net emissions. The RMPpECM is superior as its component traits can be easily measured in Australian dairy systems. The ECM is a phenotype that is calculated very simply from data collected routinely in dairy cows from milk production traits, which have high reliabilities (
      • DataGene Ltd
      Data Services.
      ). As a candidate trait, RMPpECM is a practical option to be incorporated in an index and have high reliability. The RMPpECM fulfills many of the requirements to select for reduced methane emission because it has a negative, favorable genetic correlation with ECM. However, we note the correlation has a large standard error, and thus should be interpreted with caution.
      The SF6 method, although laborious, allows for methane measurements to be taken on cows in a pasture setting, and data could be collected on a comparatively large number of individual cows (
      • Moate P.J.
      • Deighton M.H.
      • Williams S.R.O.
      • Pryce J.E.
      • Hayes B.J.
      • Jacobs J.L.
      • Eckard R.J.
      • Hannah M.C.
      • Wales W.J.
      Reducing the carbon footprint of Australian milk production by mitigation of enteric methane emissions.
      ). On the other hand, collecting DMI data is limited to feed trials that do not represent the commercial farm in pasture-based systems. Currently, collecting DMI records in pasture is not possible on a large number of animals, although technologies are being developed to achieve this (
      • Seymour D.J.
      • Cánovas A.
      • Baes C.F.
      • Chud T.C.S.
      • Osborne V.R.
      • Cant J.P.
      • Brito L.F.
      • Gredler-Grandl B.
      • Finocchiaro R.
      • Veerkamp R.F.
      • de Haas Y.
      • Miglior F.
      Invited review: Determination of large-scale individual dry matter intake phenotypes in dairy cattle: A systematic review.
      ).

      Correcting for Trait Genetic Relationships

      Correcting for the genetic component of DMI using FS did not result in genetic or phenotypic independence of RMP and DMI. However, phenotypically correcting for DMI resulted in an expected phenotypic correlation that was not significantly different from 0 as well as an unchanged genetic correlation. The observed correlations may be due to the use of FS in the genetic correction for feed-based traits, as DGV for DMI are unavailable in Australia. FeedSaved is an EBV for an RFI based trait, where a more negative RFI value is favorable. Although FS is an aggregate trait that considers both lifetime RFI and a maintenance requirement, thereby containing a component of DMI, it cannot fully act as the genetic adjustment for DMI. However, it may be that correcting for DGV does not produce a trait with genetic independence, and instead only increases computational complexity and error. Note that the reliability of RFI was reported to be 0.06 with a standard deviation of 0.07 by
      • Pryce J.E.
      • Gonzalez-Recio O.
      • Nieuwhof G.
      • Wales W.J.
      • Coffey M.P.
      • Hayes B.J.
      • Goddard M.E.
      Hot topic: Definition and implementation of a breeding value for feed efficiency in dairy cows.
      . A lack of genetic independence was also observed in the genotypic and phenotypic correction for ECM. The RMPpECM was phenotypically, and not genetically, independent of ECM, and RMPgECM was not significantly independent of either. This finding contrasts with the findings of
      • VanRaden P.M.
      • O'Connell J.R.
      • Connor E.E.
      • Vandehaar M.J.
      • Tempelman R.J.
      • Weigel K.A.
      Including feed intake data from U.S. Holsteins in genomic prediction.
      , who obtained an RFI trait genetically and phenotypically independent from yield by using genomic predicted transmitting ability for milk net energy and BW. However, a definitive conclusion was not possible due to the large standard errors of the estimated genetic parameters in our study.

      Challenges of Small Data Sets

      The small size of the data set available introduced skepticism when estimating genetic parameters and recommending a candidate trait with high confidence. Many of the parameters estimated between methane candidate traits and traits of interests (DMI and ECM) resulted in unreliable parameter estimates with high standard errors. This was a limitation of the small data set and highlights the importance of upscaling through proxy trait development, interbreed evaluations, and international collaboration. In addition to challenges with estimating genetic parameters with a small data set, the size of the data set in combination with the narrow recording windows may have caused confounding of effects in the model. Although each batch contained multiple animals, animals were not represented between batches, which may have led to confounding between batch and animals. The reason for this was to try and maximize the total number of animals with available phenotypes. Mid-infrared spectroscopy has been used to obtain large numbers of predicted methane phenotypes from routine milk samples at herd testing (
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Gredler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      ); however, the viability of using these predicted phenotypes in genomic analysis has yet to be determined.
      There is also the opportunity to combine beef and dairy data for genomic prediction of methane with high success in grazing animals (
      • Khansefid M.
      • Pryce J.E.
      • Bolormaa S.
      • Miller S.P.
      • Wang Z.
      • Li C.
      • Goddard M.E.
      Estimation of genomic breeding values for residual feed intake in a multibreed cattle population.
      ). Previously, combining data was challenging, as traits of interest diverged to either meat or dairy production. However, methane may be isolated from this problem because it is strongly related to the breakdown of feed and the digestive capabilities of the animal, rather than the focus of energy partitioning to a specific output. More recently,
      • Williams S.R.O.
      • Hannah M.C.
      • Jacobs J.L.
      • Wales W.J.
      • Moate P.J.
      Volatile fatty acids in ruminal fluid can be used to predict methane yield of dairy cows.
      showed that VFA proportions in ruminal fluid can be used to predict methane yield, and they suggested that their approach is among the cheapest methods for estimating methane yield of dairy cows. Thus, proxy methane phenotypes related to RMP may be able to be estimated. The most promising opportunity of increasing data set size is through large-scale international initiatives consisting of multiple stakeholders invested in the collation of high-quality feed intake and methane data. However, the variation between international partners in phenotype definitions, measurement techniques, and on-farm management (e.g., diet) is challenging for combining data.

      CONCLUSIONS

      This research defined and compared 9 RMP candidate traits. All RMP candidate traits were highly correlated with one another as well as with other methane candidate traits (MeP, MeY, and MeI). Due to this, RMPECM was proposed as the RMP candidate trait for inclusion in routine genetic evaluation based on its heritability and the practicality of obtaining MeP and ECM measurements on a large number of animals in a pasture-based system. However, the large standard errors associated with some estimated genetic parameters inhibited a definitive conclusion that identified an optimal RMP candidate trait for selection, highlighting the desirability for increasing the data set size. Further research investigating the response to selection of methane candidate traits and the resulting expected decrease in methane emission is required to determine the optimal methane candidate trait in dairy cattle, which may not currently be the most practical.

      ACKNOWLEDGMENTS

      We thank DairyBio, jointly funded by Dairy Australia (Melbourne, Australia), The Gardiner Foundation (Melbourne, Australia), and Agriculture Victoria (Melbourne, Australia), for funding this project and C. M. Richardson's PhD project. The authors also thank the staff at Ellinbank SmartFarm (Ellinbank, Australia) for their technical expertise and assistance. The authors have not stated any conflicts of interest.

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