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Review| Volume 100, ISSUE 4, P2433-2453, April 2017

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Invited review: Large-scale indirect measurements for enteric methane emissions in dairy cattle: A review of proxies and their potential for use in management and breeding decisions

Open AccessPublished:February 01, 2017DOI:https://doi.org/10.3168/jds.2016-12030

      ABSTRACT

      Efforts to reduce the carbon footprint of milk production through selection and management of low-emitting cows require accurate and large-scale measurements of methane (CH4) emissions from individual cows. Several techniques have been developed to measure CH4 in a research setting but most are not suitable for large-scale recording on farm. Several groups have explored proxies (i.e., indicators or indirect traits) for CH4; ideally these should be accurate, inexpensive, and amenable to being recorded individually on a large scale. This review (1) systematically describes the biological basis of current potential CH4 proxies for dairy cattle; (2) assesses the accuracy and predictive power of single proxies and determines the added value of combining proxies; (3) provides a critical evaluation of the relative merit of the main proxies in terms of their simplicity, cost, accuracy, invasiveness, and throughput; and (4) discusses their suitability as selection traits. The proxies range from simple and low-cost measurements such as body weight and high-throughput milk mid-infrared spectroscopy (MIR) to more challenging measures such as rumen morphology, rumen metabolites, or microbiome profiling. Proxies based on rumen samples are generally poor to moderately accurate predictors of CH4, and are costly and difficult to measure routinely on-farm. Proxies related to body weight or milk yield and composition, on the other hand, are relatively simple, inexpensive, and high throughput, and are easier to implement in practice. In particular, milk MIR, along with covariates such as lactation stage, are a promising option for prediction of CH4 emission in dairy cows. No single proxy was found to accurately predict CH4, and combinations of 2 or more proxies are likely to be a better solution. Combining proxies can increase the accuracy of predictions by 15 to 35%, mainly because different proxies describe independent sources of variation in CH4 and one proxy can correct for shortcomings in the other(s). The most important applications of CH4 proxies are in dairy cattle management and breeding for lower environmental impact. When breeding for traits of lower environmental impact, single or multiple proxies can be used as indirect criteria for the breeding objective, but care should be taken to avoid unfavorable correlated responses. Finally, although combinations of proxies appear to provide the most accurate estimates of CH4, the greatest limitation today is the lack of robustness in their general applicability. Future efforts should therefore be directed toward developing combinations of proxies that are robust and applicable across diverse production systems and environments.

      Key words

      INTRODUCTION

      Increases in milk production through management and genetics have substantially improved feed efficiency and decreased costs per unit of product over recent decades. However, dairy systems are also associated with environmental costs (
      • Baskaran R.
      • Cullen R.
      • Colombo S.
      Estimating values of environmental impacts of dairy farming in New Zealand, New Zealand.
      ), with the methane (CH4) emissions associated with rumen microbial fermentation being both an important contributor to global greenhouse gas (GHG) emissions and an avoidable loss of energy that could otherwise be directed into milk production. The livestock sector is responsible for 14.5% of the global anthropogenic GHG emissions (
      • Gerber P.J.
      • Steinfeld H.
      • Henderson B.
      • Mottet A.
      • Opio C.
      • Dijkman J.
      • Falcucci A.
      • Tempio G.
      ). Dairy cattle account for 18.9% of these emissions, mainly in the form of enteric CH4 emissions (
      • van Middelaar C.E.
      • Dijkstra J.
      • Berentsen P.B.M.
      • De Boer I.J.M.
      Cost-effectiveness of feeding strategies to reduce greenhouse gas emissions from dairy farming.
      ).
      Several CH4 phenotypes have been defined (
      • Herd R.M.
      • Bird S.H.
      • Donoghue K.A.
      • Arthur P.F.
      • Hegarty R.S.
      Phenotypic associations between methane production traits, volatile fatty acids and animal breeding traits.
      ); the most widely used is CH4 production (MeP) in liters or grams per day. The problem in selecting for this trait is that it is highly correlated with feed intake and, consequently, with the ultimate breeding goal in dairy cattle: milk production. Alternative phenotypes are CH4 intensity (MeI), which is defined as liters or grams of CH4 per kilogram of milk, and CH4 yield (MeY), which is defined as liters or grams of CH4 per kilogram of DMI. Residual CH4 production (RMP) is calculated as observed minus predicted CH4 production (
      • Herd R.M.
      • Arthur P.F.
      • Bird S.H.
      • Donoghue K.A.
      • Hegarty R.S.
      Genetic variation for methane traits in beef cattle.
      ;
      • Berry D.P.
      • Lassen J.
      • de Haas Y.
      Residual feed intake and breeding approaches for enteric methane mitigation.
      ), with predicted values based on factors such as milk production, BW, and feed intake. At the moment, it is not obvious which of these phenotypes to use but it is important to monitor associations between the chosen CH4 phenotype and the other important traits in the breeding goal (e.g., production, fertility, longevity) to avoid unfavorable consequences.
      Although diet changes and feed additives can be effective mitigation strategies for CH4 emissions (e.g.,
      • Beauchemin K.A.
      • McAllister T.A.
      • McGinn S.M.
      Dietary mitigation of enteric methane from cattle.
      ;
      • Martin C.
      • Morgavi D.P.
      • Doreau M.
      Methane mitigation in ruminants: From microbe to the farm scale.
      ;
      • Hristov A.N.
      • Oh J.
      • Firkins J.L.
      • Dijkstra J.
      • Kebreab E.
      • Waghorn G.
      • Makkar H.P.S.
      • Adesogan A.T.
      • Yang W.
      • Lee C.
      • Gerber P.J.
      • Henderson B.
      • Tricarico J.M.
      Special topics - Mitigation of methane and nitrous oxide emissions from animal operations: I. A review of enteric methane mitigation options.
      ), their effects depend on continued use of the diet or additive and the rumen microbiome can adapt to additives. In contrast, breeding for reduced CH4 emissions would have a permanent and cumulative effect (
      • Wall E.
      • Simm G.
      • Moran D.
      Developing breeding schemes to assist mitigation of greenhouse gas emissions.
      ). Several studies have shown that CH4 emissions by ruminants have a genetic component, with heritability in the range of 0.20 to 0.30 (e.g.,
      • 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.
      ;
      • Donoghue K.A.
      • Herd R.M.
      • Bird S.H.
      • Arthur P.F.
      • Hegarty R.F.
      Preliminary genetic parameters for methane production in Australian beef cattle.
      ;
      • Pinares-Patiño C.S.
      • Hickey S.M.
      • Young E.A.
      • Dodds K.G.
      • MacLean S.
      • Molano G.
      • Sandoval E.
      • Kjestrup H.
      • Harland R.
      • Pickering N.K.
      • McEwan J.C.
      Heritability estimates of methane emissions from sheep.
      ;
      • Kandel P.B.
      • Vanderick S.
      • Vanrobays M.-L.
      • Vanlierde A.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • Gengler N.
      Consequences of selection for environmental impact traits in dairy cows.
      ;
      • Lassen J.
      • Løvendahl P.
      Heritability estimates for enteric methane emissions from Holstein cattle measured using noninvasive methods.
      ). Breeding for reduced CH4 emissions, alone or together with other mitigation strategies, could therefore be effective in reducing the environmental impact of cattle farming and, possibly, also in increasing feed efficiency. Such breeding scheme would require, as a fundamental starting point, accurate measures of individual CH4 emissions on a large scale.
      Several techniques have been developed for the measurement of CH4 emissions from ruminants, with varying degrees of accuracy (see review by
      • Hammond K.J.
      • Crompton L.A.
      • Bannink A.
      • Dijkstra J.
      • Yáñez-Ruiz D.R.
      • O’Kiely P.
      • Kebreab E.
      • Eugène M.A.
      • Yu Z.
      • Shingfield K.J.
      • Schwarm A.
      • Hristov A.N.
      • Reynolds C.K.
      Review of current in vivo measurement techniques for quantifying enteric methane emission from ruminants.
      ), but routine individual measurements on a large scale (a requisite for genetic selection) have proven difficult to obtain and expensive (
      • Pickering N.K.
      • Oddy V.H.
      • Basarab J.A.
      • Cammack K.
      • Hayes B.J.
      • Hegarty R.S.
      • McEwan J.C.
      • Miller S.
      • Pinares C.
      • de Haas Y.
      Invited review: Genetic possibilities to reduce enteric methane emissions from ruminants.
      ;
      • Negussie E.
      • Lehtinen J.
      • Mäntysaari P.
      • Liinamo A.-E.
      • Mäntysaari E.
      • Lidauer M.
      Non-invasive individual methane measurements in dairy cows using photoacoustic infrared spectroscopy technique.
      ). Therefore, identifying proxies (i.e., indicators or indirect traits) that are correlated with CH4 emission but that are easy and relatively low cost to record on a large scale is a much-needed alternative. Proxies might be less accurate but could be measured repeatedly to reduce random noise.
      Previous studies have reported a large array of CH4 proxies; for example, milk MIR (
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      ), rumen metagenome profiles (
      • Ross E.M.
      • Moate P.J.
      • Marett L.C.
      • Cocks B.G.
      • Hayes B.J.
      Metagenomic predictions: From microbiome to complex health and environmental phenotypes in humans and cattle.
      ), and milk fatty acid profiles (
      • Chilliard Y.
      • Martin C.
      • Rouel J.
      • Doreau M.
      Milk fatty acids in dairy cows fed whole crude linseed, extruded linseed, or linseed oil, and their relationship with methane output.
      ;
      • Dijkstra J.
      • van Gastelen S.
      • Antunes-Fernandes E.C.
      • Warner D.
      • Hatew B.
      • Klop G.
      • Podesta S.C.
      • van Lingen H.J.
      • Hettinga K.A.
      • Bannink A.
      Relationships between milk fatty acid profiles and enteric methane production in dairy cattle fed grass- or grass silage-based diets.
      ), differing widely in accuracy and applicability under different conditions. The ideal proxy would be phenotypically and genetically highly correlated with CH4 emissions and cost effective, and it should be easily, and potentially repeatedly, measured on a large scale. A systematic summary and assessment of existing knowledge is needed for the identification of robust and accurate CH4 proxies for future use. To fill this gap, this review aims to (1) systematically describe the biological basis of current potential CH4 proxies for dairy cattle; (2) assess the accuracy and predictive power of single proxies and determine the added value of combining proxies; (3) provide a critical evaluation of the relative merit of the main proxies in terms of their simplicity, cost, invasiveness and throughput; and (4) discuss their suitability as selection traits.

      DESCRIPTION OF PROXIES FOR CH4 EMISSIONS

      This section presents a systematic review of available methane proxies, with measurement/sampling sites arranged according to the chronological progression of nutrients through the animal: (1) feed intake and feeding behavior; (2) rumen function, metabolites, and microbiome; (3) milk production and composition; (4) hindgut and feces; and (5) measurements at the level of the whole animal.

      Feed Intake

      Enteric CH4 is a by-product of microbial fermentation in the rumen (principally) and hindgut of animals. Feed intake is therefore one of the major drivers of MeP (
      • Mills J.A.N.
      • Kebreab E.
      • Yates C.M.
      • Crompton L.A.
      • Cammell S.B.
      • Dhanoa M.S.
      • Agnew R.E.
      • France J.
      Alternative approaches to predicting methane emissions from dairy cows.
      ;
      • Ellis J.L.
      • Kebreab E.
      • Odongo N.E.
      • McBride B.W.
      • Okine E.K.
      • France J.
      Prediction of methane production from dairy and beef cattle.
      ;
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      ), along with the fermentability of feed (
      • Hristov A.N.
      • Oh J.
      • Firkins J.L.
      • Dijkstra J.
      • Kebreab E.
      • Waghorn G.
      • Makkar H.P.S.
      • Adesogan A.T.
      • Yang W.
      • Lee C.
      • Gerber P.J.
      • Henderson B.
      • Tricarico J.M.
      Special topics - Mitigation of methane and nitrous oxide emissions from animal operations: I. A review of enteric methane mitigation options.
      ). Scientific evidence has shown that DMI (kg/d) and metabolizable energy (ME) intake (MJ/d) appear to be reasonably adequate predictors of MeP. According to
      • Ellis J.L.
      • Kebreab E.
      • Odongo N.E.
      • McBride B.W.
      • Okine E.K.
      • France J.
      Prediction of methane production from dairy and beef cattle.
      , DMI predicted MeP with an R2 of 0.64, and ME intake (MJ/d) predicted MeP with an R2 of 0.53 for dairy cattle. This is in agreement with previous literature reports. For instance,
      • Mills J.A.N.
      • Kebreab E.
      • Yates C.M.
      • Crompton L.A.
      • Cammell S.B.
      • Dhanoa M.S.
      • Agnew R.E.
      • France J.
      Alternative approaches to predicting methane emissions from dairy cows.
      showed that DMI predicted MeP with an R2 of 0.60, and ME intake predicted MeP with an R2 of 0.55. More recently,
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      identified gross energy intake (GE) as a key explanatory variable for predicting CH4 emission; GE intake predicted CH4 emission with root mean squared prediction error (MJ/d) of 3.01. Residual feed intake (RFI), a feed efficiency trait, is also related to CH4 emission in ruminants. Studies have shown that selection of animals for low RFI (high feed efficiency) reduces methane emissions in cattle (
      • Nkrumah J.D.
      • Okine E.K.
      • Mathison G.W.
      • Schmid K.
      • Li C.
      • Basarab J.A.
      • Price M.A.
      • Wang Z.
      • Moore S.S.
      Relationships of feedlot feed efficiency, performance, and feeding behavior with metabolic rate, methane production, and energy partitioning in beef cattle.
      ;
      • Hegarty R.S.
      • Goopy J.P.
      • Herd R.M.
      • McCorkell B.
      Cattle selected for lower residual feed intake have reduced daily methane production.
      ;
      • Fitzsimons C.
      • Kenny D.A.
      • Deighton M.H.
      • Fahey A.G.
      • McGee M.
      Methane emissions, body composition, and rumen fermentation traits of beef heifers differing in residual feed intake.
      ;
      • Negussie E.
      • Mäntysaari P.
      • Mäntysaari E.A.
      • Lidauer M.
      Animal wise variation in enteric methane output traits and its relationships with feed efficiency in dairy cattle: A longitudinal model analysis.
      ), suggesting a sustainable strategy to improve feed efficiency and simultaneously lower CH4 output. However, there are some inconsistencies in relation to differences in feed intake and corresponding methane emissions between low and high RFI animals (
      • Jones F.M.
      • Phillips F.A.
      • Naylor T.
      • Mercer N.B.
      Methane emissions from grazing Angus beef cows selected for divergent residual feed intake.
      ;
      • Fitzsimons C.
      • Kenny D.A.
      • Deighton M.H.
      • Fahey A.G.
      • McGee M.
      Methane emissions, body composition, and rumen fermentation traits of beef heifers differing in residual feed intake.
      ), with MeY observed to be higher for low RFI heifers (
      • McDonnell R.P.
      • Hart K.J.
      • Boland T.M.
      • Kelly A.K.
      • McGee M.
      • Kenny D.A.
      Effect of divergence in phenotypic residual feed intake on methane emissions, ruminal fermentation, and apparent whole-tract digestibility of beef heifers across three contrasting diets.
      ). Such conflicting observations on the variation in methane emission of high- and low-efficiency animals between studies may suggest that selection of cattle for increased feed efficiency may not necessarily result in a reduction in methane emissions (
      • Freetly H.C.
      • Brown-Brandl T.M.
      Enteric methane production from beef cattle that vary in feed efficiency.
      ).

      Feeding Behavior

      Feeding behavior is related to MeP in ruminants, but the magnitude and direction of the relationship varies across studies. For instance,
      • Nkrumah J.D.
      • Okine E.K.
      • Mathison G.W.
      • Schmid K.
      • Li C.
      • Basarab J.A.
      • Price M.A.
      • Wang Z.
      • Moore S.S.
      Relationships of feedlot feed efficiency, performance, and feeding behavior with metabolic rate, methane production, and energy partitioning in beef cattle.
      found a negative relationship between daily feed bunk attendance and MeP, whereas feeding duration was positively correlated with MeP. More recent work assessed the ability of short-term measurements of CH4 emissions to predict daily emissions of beef cattle fed alfalfa silage at different levels and frequencies of feeding (
      • Jonker A.
      • Molano G.
      • Antwi C.
      • Waghorn G.
      Feeding lucerne silage to beef cattle at three allowances and four feeding frequencies affects circadian patterns of methane emissions, but not emissions per unit of intake.
      ). Feeding frequencies affected circadian patterns of MeP but not MeY. Specifically, the range in hourly CH4 emission rates during the day decreased with increasing feed intake level but was unaffected by feeding frequency (
      • Jonker A.
      • Molano G.
      • Antwi C.
      • Waghorn G.
      Feeding lucerne silage to beef cattle at three allowances and four feeding frequencies affects circadian patterns of methane emissions, but not emissions per unit of intake.
      ).

      Rumination Time

      Rumination patterns and duration affect particle breakdown and colonization in the rumen and so have important effects on rumen fermentation (
      • Harb M.Y.
      • Campling R.C.
      Variation among pregnant, non-lactating dairy cows in eating and ruminating behaviour, digestibility and voluntary intake of hay.
      ;
      • Schirmann K.
      • Chapinal N.
      • Weary D.M.
      • Heuwieser W.
      • von Keyserlingk M.A.G.
      Rumination and its relationship to feeding and lying behavior in Holstein dairy cows.
      ), opening up the possibility of using rumen motility as proxy for CH4 emissions. The potential association between rumination time and CH4 emissions has been largely unexplored until recently. In a recent study,
      • Watt L.J.
      • Clark C.E.F.
      • Krebs G.L.
      • Petzel C.E.
      • Nielsen S.
      • Utsumi S.A.
      Differential rumination, intake, and enteric methane production of dairy cows in a pasture-based automatic milking system.
      compared 2 groups of dairy cows (n = 37 cows/group) with divergent rumination times. Cows with high rumination activity produced more milk, consumed more concentrate, and produced more CH4 than low rumination contemporaries. Nevertheless, there was insufficient evidence from that study to support a direct or indirect association between rumination and MeP. In contrast, high rumination cows had higher milk production and had lower RMP and MeI than the low rumination group, confirming that increasing milk production efficiency is one strategy to lower the carbon footprint of milk production from dairy systems. However, selection solely to improve production efficiency runs the risk of increasing feed intake and CH4 emissions per animal and hence total emissions. To address this one plausible strategy could be to increase animal productive efficiency while reducing CH4 emissions per animal. This could be achieved by reducing MeY or decreasing DMI, or both, provided that there is no concomitant reduction in productivity or increase in feed consumption (
      • Pickering N.K.
      • Oddy V.H.
      • Basarab J.A.
      • Cammack K.
      • Hayes B.J.
      • Hegarty R.S.
      • McEwan J.C.
      • Miller S.
      • Pinares C.
      • de Haas Y.
      Invited review: Genetic possibilities to reduce enteric methane emissions from ruminants.
      ).

      Rumen Function, Metabolites, and Microbiome

      The majority of methanogenesis takes place in the rumen, and a lesser proportion (∼13%) of CH4 is produced in the cecum and colon (
      • Murray R.M.
      • Bryant A.M.
      • Leng R.A.
      Rates of production of methane in the rumen and large intestine of sheep.
      ;
      • Muñoz C.
      • Yan T.
      • Wills D.A.
      • Murray S.
      • Gordon A.W.
      Comparison of the sulfur hexafluoride tracer and respiration chamber techniques for estimating methane emissions and correction for rectum methane output from dairy cows.
      ). Because methanogens are the exclusive producers of CH4, it is logical to assume that their number and activity would be linked to CH4 emissions. In addition, in the complex trophic web of the gastrointestinal microbiota, microbes producing or competing for substrates used by methanogens will have a marked effect on MeP (
      • Morgavi D.P.
      • Forano E.
      • Martin C.
      • Newbold C.J.
      Microbial ecosystem and methanogenesis in ruminants.
      ). Supplementary Table S1 (https://doi.org/10.3168/jds.2016-12030) provides an overview of published literature on the effects of antimethanogenic treatments and dietary manipulations designed to alter MeP or MeY on rumen VFA proportions and the rumen microbiota, particularly methanogens and protozoa numbers.

      Methanogens as Proxies

      There has been some variability in relationships between methane emissions and the abundance of rumen methanogens when antimethanogenic compounds have been fed. For instance, inhibitors of the enzyme methyl coenzyme-M reductase (which is involved in the last step of the methanogenic pathway), such as bromochoromethane (
      • Denman S.E.
      • Tomkins N.W.
      • McSweeney C.S.
      Quantitation and diversity analysis of ruminal methanogenic populations in response to the antimethanogenic compound bromochloromethane.
      ), chloroform (
      • Knight T.
      • Ronimus R.S.
      • Dey D.
      • Tootill C.
      • Naylor G.
      • Evans P.
      • Molano G.
      • Smith A.
      • Tavendale M.
      • Pinares-Patiño C.S.
      • Clark H.
      Chloroform decreases rumen methanogenesis and methanogen populations without altering rumen function in cattle.
      ), or 3-nitrooxypropanol (
      • Haisan J.
      • Sun Y.
      • Guan L.L.
      • Beauchemin K.A.
      • Iwaasa A.
      • Duval S.
      • Barreda D.R.
      • Oba M.
      The effects of feeding 3-nitrooxypropanol on methane emissions and productivity of Holstein cows in mid lactation.
      ), did not always result in a reduction of methanogen numbers (
      • Romero-Perez A.
      • Okine E.K.
      • McGinn S.M.
      • Guan L.L.
      • Oba M.
      • Duval S.M.
      • Kindermann M.
      • Beauchemin K.A.
      The potential of 3-nitrooxypropanol to lower enteric methane emissions from beef cattle.
      ,
      • Romero-Perez A.
      • Okine E.K.
      • McGinn S.M.
      • Guan L.L.
      • Oba M.
      • Duval S.M.
      • Kindermann M.
      • Beauchemin K.A.
      Sustained reduction in methane production from long-term addition of 3-nitrooxypropanol to a beef cattle diet.
      ). Other compounds known for their antimicrobial activities were also shown to induce reductions in both MeP and methanogen numbers (
      • Kubo I.
      • Muroi H.
      • Himejima M.
      • Yamagiwa Y.
      • Mera H.
      • Tokushima K.
      • Ohta S.
      • Kamikawa T.
      Structure-antibacterial activity relationships of anacardic acids.
      ;
      • Iwamoto M.
      • Asanuma N.
      • Hino T.
      Ability of Selenomonas ruminantium, Veillonella parvula, and Wolinella succinogenes to reduce nitrate and nitrite with special reference to the suppression of ruminal methanogenesis.
      ). Examples of these are nitrates (
      • van Zijderveld S.M.
      • Gerrits W.J.J.
      • Apajalahti J.A.
      • Newbold J.R.
      • Dijkstra J.
      • Leng R.A.
      • Perdok H.B.
      Nitrate and sulfate: Effective alternative hydrogen sinks for mitigation of ruminal methane production in sheep.
      ;
      • Veneman J.B.
      • Muetzel S.
      • Hart K.J.
      • Faulkner C.L.
      • Moorby J.M.
      • Perdok H.B.
      • Newbold C.J.
      Does dietary mitigation of enteric methane production affect rumen function and animal productivity in dairy cows?.
      ), anacardic acid contained in cashew nut shell liquid (
      • Shinkai T.
      • Enishi O.
      • Mitsumori M.
      • Higuchi K.
      • Kobayashi Y.
      • Takenaka A.
      • Nagashima K.
      • Mochizuki M.
      Mitigation of methane production from cattle by feeding cashew nut shell liquid.
      ), monensin (
      • Shinkai T.
      • Enishi O.
      • Mitsumori M.
      • Higuchi K.
      • Kobayashi Y.
      • Takenaka A.
      • Nagashima K.
      • Mochizuki M.
      Mitigation of methane production from cattle by feeding cashew nut shell liquid.
      ), and isobutyrate (
      • Wang C.
      • Liu Q.
      • Zhang Y.L.
      • Pei C.X.
      • Zhang S.L.
      • Wang Y.X.
      • Yang W.Z.
      • Bai Y.S.
      • Shi Z.G.
      • Liu X.N.
      Effects of isobutyrate supplementation on ruminal microflora, rumen enzyme activities and methane emissions in Simmental steers.
      ).
      The relationship between rumen methanogen abundance and methanogenesis is less clear when changes in enteric CH4 emissions are modulated by diet or are a consequence of selecting phenotypes related to feed efficiency or MeY. Whereas in some reports, significant positive relationships were identified (
      • Aguinaga Casañas M.A.
      • Rangkasenee N.
      • Krattenmacher N.
      • Thaller G.
      • Metges C.C.
      • Kuhla B.
      Methyl-coenzyme M reductase A as an indicator to estimate methane production from dairy cows.
      ;
      • Arndt C.
      • Powell J.M.
      • Aguerre M.J.
      • Crump P.M.
      • Wattiaux M.A.
      Feed conversion efficiency in dairy cows: Repeatability, variation in digestion and metabolism of energy and nitrogen, and ruminal methanogens.
      ;
      • Sun X.
      • Henderson G.
      • Cox F.
      • Molano G.
      • Harrison S.J.
      • Luo D.
      • Janssen P.H.
      • Pacheco D.
      Lambs fed fresh winter forage rape (Brassica napus L.) emit less methane than those fed perennial ryegrass (Lolium perenne L.), and possible mechanisms behind the difference.
      ;
      • Wallace R.J.
      • Rooke J.
      • McKain N.
      • Duthie C.-A.
      • Hyslop J.
      • Ross D.
      • Waterhouse A.
      • Watson M.
      • Roehe R.
      The rumen microbial metagenome associated with high methane production in cattle.
      ), in many others, the concentration of methanogens was unrelated to methanogenesis (e.g.,
      • Morgavi D.P.
      • Martin C.
      • Jouany J.P.
      • Ranilla M.J.
      Rumen protozoa and methanogenesis: not a simple cause-effect relationship.
      ;
      • Kittelmann S.
      • Pinares-Patiño C.S.
      • Seedorf H.
      • Kirk M.R.
      • Ganesh S.
      • McEwan J.C.
      • Janssen P.H.
      Two different bacterial community types are linked with the low-methane emission trait in sheep.
      ;
      • Shi W.
      • Moon C.D.
      • Leahy S.C.
      • Kang D.
      • Froula J.
      • Kittelmann S.
      • Fan C.
      • Deutsch S.
      • Gagic D.
      • Seedorf H.
      • Kelly W.J.
      • Atua R.
      • Sang C.
      • Soni P.
      • Li D.
      • Pinares-Patiño C.S.
      • McEwan J.C.
      • Janssen P.H.
      • Chen F.
      • Visel A.
      • Wang Z.
      • Attwood G.T.
      • Rubin E.M.
      Methane yield phenotypes linked to differential gene expression in the sheep rumen microbiome.
      ;
      • Bouchard K.
      • Wittenberg K.M.
      • Legesse G.
      • Krause D.O.
      • Khafipour E.
      • Buckley K.E.
      • Ominski K.H.
      Comparison of feed intake, body weight gain, enteric methane emission and relative abundance of rumen microbes in steers fed sainfoin and lucerne silages under western Canadian conditions.
      ).
      • Bouchard K.
      • Wittenberg K.M.
      • Legesse G.
      • Krause D.O.
      • Khafipour E.
      • Buckley K.E.
      • Ominski K.H.
      Comparison of feed intake, body weight gain, enteric methane emission and relative abundance of rumen microbes in steers fed sainfoin and lucerne silages under western Canadian conditions.
      even reported a reduction in methanogens without a significant decrease in MeP for steers fed sainfoin silage. Sheep selected for high or low MeY showed no differences in methanogen abundance, although there was a strong correlation with expression of archaeal genes involved in methanogenesis (
      • Shi W.
      • Moon C.D.
      • Leahy S.C.
      • Kang D.
      • Froula J.
      • Kittelmann S.
      • Fan C.
      • Deutsch S.
      • Gagic D.
      • Seedorf H.
      • Kelly W.J.
      • Atua R.
      • Sang C.
      • Soni P.
      • Li D.
      • Pinares-Patiño C.S.
      • McEwan J.C.
      • Janssen P.H.
      • Chen F.
      • Visel A.
      • Wang Z.
      • Attwood G.T.
      • Rubin E.M.
      Methane yield phenotypes linked to differential gene expression in the sheep rumen microbiome.
      ). This difference in archaeal gene expression (i.e., the mcrA gene) as opposed to methanogen abundance has been reported by others (
      • Popova M.
      • Martin C.
      • Eugène M.
      • Mialon M.M.
      • Doreau M.
      • Morgavi D.P.
      Effect of fibre- and starch-rich finishing diets on methanogenic Archaea diversity and activity in the rumen of feedlot bulls.
      ). However, in other studies, no relationship was found between archaeal gene expression and MeY (
      • Aguinaga Casañas M.A.
      • Rangkasenee N.
      • Krattenmacher N.
      • Thaller G.
      • Metges C.C.
      • Kuhla B.
      Methyl-coenzyme M reductase A as an indicator to estimate methane production from dairy cows.
      ). Some methodological and experimental differences might explain some of these apparent contradictions, such as the type of gene target and primers used for nucleic acid amplification. Effects are seen most clearly when the difference in MeP between groups of animals is large; for example,
      • Wallace R.J.
      • Rooke J.
      • McKain N.
      • Duthie C.-A.
      • Hyslop J.
      • Ross D.
      • Waterhouse A.
      • Watson M.
      • Roehe R.
      The rumen microbial metagenome associated with high methane production in cattle.
      used treatments that generated a 1.9-fold difference in CH4 emissions.
      • Roehe R.
      • Dewhurst R.J.
      • Duthie C.-A.
      • Rooke J.A.
      • McKain N.
      • Ross D.W.
      • Hyslop J.J.
      • Waterhouse A.
      • Freeman T.C.
      • Watson M.
      • Wallace R.J.
      Bovine host genetic variation influences rumen microbial methane production with best selection criterion for low methane emitting and efficiently feed converting hosts based on metagenomic gene abundance.
      observed that the ranking of sire groups for CH4 emissions measured with respiration chambers was the same as that for ranking on archaea:bacteria ratio, providing further evidence that host control of archaeal abundance contributes to genetic variation in CH4 emissions, at least in some circumstances. Across a wide geographical range, the methanogenic archaea were shown to be highly conserved across the world (
      • Henderson G.
      • Cox F.
      • Ganesh S.
      • Jonker A.
      • Young W.
      • Global Rumen Census Collaborators
      • Janssen P.H.
      Rumen microbial community composition varies with diet and host, but a core microbiome is found across a wide geographical range.
      ). This universality and limited diversity might make it possible to mitigate CH4 emissions by developing strategies that target dominant rumen methanogens.

      Protozoa and Other Rumen Microbes as Proxies

      Protozoa are net producers of H2 and their absence from the rumen is associated with an average reduction in enteric MeP of ∼11% (
      • Hegarty R.S.
      Reducing rumen methane emissions through elimination of rumen protozoa.
      ;
      • Morgavi D.P.
      • Forano E.
      • Martin C.
      • Newbold C.J.
      Microbial ecosystem and methanogenesis in ruminants.
      ;
      • Newbold C.J.
      • de la Fuente G.
      • Belanche A.
      • Ramos-Morales E.
      • McEwan N.
      The role of ciliate protozoa in the rumen.
      ). Using a database of 28 experiments and 91 dietary treatments,
      • Guyader J.
      • Eugène M.
      • Nozière P.
      • Morgavi D.P.
      • Doreau M.
      • Martin C.
      Influence of rumen protozoa on methane emission in ruminants: A meta-analysis approach.
      showed a significant decrease of 8.14 g of CH4/kg of DMI for each log-unit reduction in rumen protozoal abundance. About 21% of experiments within this data set reported CH4 changes unrelated to protozoal abundance, highlighting the multifactorial nature of methanogenesis.
      Simultaneous monitoring of microbial populations together with CH4 emissions brings interesting insights into the complex microbial interactions influencing rumen methanogenesis. Low-CH4-emitting microbial communities were associated with higher relative proportions of Fibrobacteres, Quinella ovalis, and other Veillonellaceae such as Selenomononas, in contrast to lower proportions of Ruminococcaceae, Lachnospiraceae, and other Clostridiales (
      • Kittelmann S.
      • Pinares-Patiño C.S.
      • Seedorf H.
      • Kirk M.R.
      • Ganesh S.
      • McEwan J.C.
      • Janssen P.H.
      Two different bacterial community types are linked with the low-methane emission trait in sheep.
      ;
      • Wallace R.J.
      • Rooke J.A.
      • Duthie C.-A.
      • Hyslop J.J.
      • Ross D.W.
      • McKain N.
      • de Souza S.M.
      • Snelling T.J.
      • Waterhouse A.
      • Roehe R.
      Archaeal abundance in post-mortem ruminal digesta may help predict methane emissions from beef cattle.
      ;
      • Sun X.
      • Henderson G.
      • Cox F.
      • Molano G.
      • Harrison S.J.
      • Luo D.
      • Janssen P.H.
      • Pacheco D.
      Lambs fed fresh winter forage rape (Brassica napus L.) emit less methane than those fed perennial ryegrass (Lolium perenne L.), and possible mechanisms behind the difference.
      ). Fibrobacteres, Quinella, and Selenomononas are broadly known to consume H2 whereas Ruminococcaceae, Lachnospiraceae, and other Clostridiales produce H2 during fermentation, and changes in the proportion of these populations would reduce the amount of H2 available for methanogenesis. In the rumen, these microbial changes are biochemically associated with higher proportions of propionate (
      • Kittelmann S.
      • Pinares-Patiño C.S.
      • Seedorf H.
      • Kirk M.R.
      • Ganesh S.
      • McEwan J.C.
      • Janssen P.H.
      Two different bacterial community types are linked with the low-methane emission trait in sheep.
      ;
      • Wallace R.J.
      • Rooke J.A.
      • Duthie C.-A.
      • Hyslop J.J.
      • Ross D.W.
      • McKain N.
      • de Souza S.M.
      • Snelling T.J.
      • Waterhouse A.
      • Roehe R.
      Archaeal abundance in post-mortem ruminal digesta may help predict methane emissions from beef cattle.
      ;
      • Sun X.
      • Henderson G.
      • Cox F.
      • Molano G.
      • Harrison S.J.
      • Luo D.
      • Janssen P.H.
      • Pacheco D.
      Lambs fed fresh winter forage rape (Brassica napus L.) emit less methane than those fed perennial ryegrass (Lolium perenne L.), and possible mechanisms behind the difference.
      ).

      Rumen Microbiome Profile and Microbial Genes as Proxies

      • Ross E.M.
      • Moate P.J.
      • Marett L.C.
      • Cocks B.G.
      • Hayes B.J.
      Metagenomic predictions: From microbiome to complex health and environmental phenotypes in humans and cattle.
      developed a metagenomic approach for the prediction of MeP in cattle. Metagenomic profiles, based on untargeted massively parallel sequencing, provide relative abundances for several thousand microbial species. This group generated a data set of Bos taurus rumen metagenome samples (
      • Ross E.M.
      • Moate P.J.
      • Marett L.C.
      • Cocks B.G.
      • Hayes B.J.
      Investigating the effect of two methane-mitigating diets on the rumen microbiome using massively parallel sequencing.
      ) with associated MeP taken from 3 experiments. They predicted MeP using each of the 3 bovine data sets as the reference population, and predicted the phenotypes of animals in the other 2 data sets. Using this approach,
      • Ross E.M.
      • Moate P.J.
      • Marett L.C.
      • Cocks B.G.
      • Hayes B.J.
      Investigating the effect of two methane-mitigating diets on the rumen microbiome using massively parallel sequencing.
      predicted MeP with R2 of up to 0.55. One clear limitation of metagenomic predictions compared with genomic predictions is that the microbiome of the host is variable; that is, it may change in response to diet or other environmental factors over time, whereas the host's DNA remains constant.
      • Roehe R.
      • Dewhurst R.J.
      • Duthie C.-A.
      • Rooke J.A.
      • McKain N.
      • Ross D.W.
      • Hyslop J.J.
      • Waterhouse A.
      • Freeman T.C.
      • Watson M.
      • Wallace R.J.
      Bovine host genetic variation influences rumen microbial methane production with best selection criterion for low methane emitting and efficiently feed converting hosts based on metagenomic gene abundance.
      also conducted rumen metagenomic analysis from 8 beef cattle divergent for CH4 emissions and demonstrated that 20 microbial genes (out of 3,970 identified) were significantly related to CH4 emissions. These included genes involved in the first and last steps of methanogenesis: formylmethanofuran dehydrogenase subunit B (fmdB) and methyl-coenzyme M reductase α subunit (mcrA), which were 170 times more abundant in high-emitting cattle. Although gene-centric metagenomics is not low cost or high throughput, these results point to potential future proxy approaches using inexpensive gene chips.

      Rumen Volume and Retention Time

      Another potentially useful diagnostic feature of the rumen is its volume. Several studies have shown that the size of the rumen and its retention time are related to CH4 emission (
      • Pinares-Patiño C.S.
      • Ulyatt M.J.
      • Lassey K.R.
      • Barry T.N.
      • Holmes C.W.
      Rumen function and digestion parameters associated with differences between sheep in methane emissions when fed chaffed lucerne hay.
      • Barnett M.C.
      • Goopy J.P.
      • McFarlane J.R.
      • Godwin I.R.
      • Nolan J.V.
      • Hegarty R.S.
      Triiodothyronine influences digesta kinetics and methane yield in sheep.
      ;
      • Goopy J.P.
      • Donaldson A.
      • Hegarty R.
      • Vercoe P.E.
      • Haynes F.
      • Barnett M.
      • Oddy V.H.
      Low-methane yield sheep have smaller rumens and shorter rumen retention time.
      ). Rumen volume was determined by X-ray computed tomography scanning in the study by
      • Goopy J.P.
      • Donaldson A.
      • Hegarty R.
      • Vercoe P.E.
      • Haynes F.
      • Barnett M.
      • Oddy V.H.
      Low-methane yield sheep have smaller rumens and shorter rumen retention time.
      , which demonstrated that low-MeY sheep had smaller rumens. The rumen content morphology score also tended to differ between the groups, suggesting that there may be a structural difference in the relationship among the solid, liquid, and air phases of the rumen contents between high- and low-CH4-emitting sheep. Faster passage of material from the rumen results in a reduction in the time available to ferment substrate (
      • Goopy J.P.
      • Donaldson A.
      • Hegarty R.
      • Vercoe P.E.
      • Haynes F.
      • Barnett M.
      • Oddy V.H.
      Low-methane yield sheep have smaller rumens and shorter rumen retention time.
      ). The differences recorded by
      • Goopy J.P.
      • Donaldson A.
      • Hegarty R.
      • Vercoe P.E.
      • Haynes F.
      • Barnett M.
      • Oddy V.H.
      Low-methane yield sheep have smaller rumens and shorter rumen retention time.
      may be related to feeding the sheep at a fixed energy requirement level, and those authors proposed that the work should be repeated with animals fed ad libitum. Apparent total-tract digestibility did not differ between high- and low-MeY groups in that study, suggesting potential for postruminal digestion to compensate for reductions in rumen fermentation. This is in line with
      • Barnett M.C.
      • Goopy J.P.
      • McFarlane J.R.
      • Godwin I.R.
      • Nolan J.V.
      • Hegarty R.S.
      Triiodothyronine influences digesta kinetics and methane yield in sheep.
      , who also demonstrated that a reduction, induced by injections of triiodothyronine, in whole-tract mean retention time reduced MeY, and identified the possibility that blood triiodothyronine concentration may be a factor by which animal genotype affects mean retention time and thus a possible indicator of MeY. Several other studies have used treatments to increase fractional passage rates from the rumen, with corresponding reductions in MeP. Rumen fractional passage rates explained 28% of variation in MeP in the study of
      • Okine E.K.
      • Mathison G.W.
      • Hardin R.T.
      Effects of changes in frequency of reticular contractions on fluid and particulate passage rates in cattle.
      . Also, it seems likely that the reduction in MeY with increasing DMI observed in the study by
      • Hammond K.J.
      • Burke J.L.
      • Koolaard J.P.
      • Muetzel S.
      • Pinares-Patiño C.S.
      • Waghorn G.C.
      Effects of feed intake on enteric methane emissions from sheep fed fresh white clover (Trifolium repens) and perennial ryegrass (Lolium perenne) forages.
      relates to increased rumen passage rates. In general, both characteristics including rumen volume, fill, and mean retention time appear to be strongly implicated in differential MeY and hence could be used as proxies for CH4 emission. However,
      • Hammond K.J.
      • Burke J.L.
      • Koolaard J.P.
      • Muetzel S.
      • Pinares-Patiño C.S.
      • Waghorn G.C.
      Effects of feed intake on enteric methane emissions from sheep fed fresh white clover (Trifolium repens) and perennial ryegrass (Lolium perenne) forages.
      cautioned that in view of the fixed feeding level used, it is necessary to first determine whether these ruminal differences hold true for ad libitum diets as well as for dairy cattle. In addition, measurement of rumen volume via computed tomography scanning can be expensive and logistically challenging; so far, practical examples in large ruminants are not available.

      Rumen pH and VFA

      Supplementary Table S1 (https://doi.org/10.3168/jds.2016-12030) provides a summary of recent studies that have estimated effects of a range of dietary treatments on CH4 emissions and measured metabolites (particularly VFA) and microorganisms in rumen fluid. The stoichiometric relationships between VFA production and production of H2 (substrate for hydrogenotrophic methanogens) means that it is generally assumed that CH4 emissions are positively associated with the acetate:propionate ratio in ruminal fluid (e.g.,
      • Mohammed R.
      • McGinn S.M.
      • Beauchemin K.A.
      Prediction of enteric methane output from milk fatty acid concentrations and rumen fermentation parameters in dairy cows fed sunflower, flax, or canola seeds.
      ;
      • Fievez V.
      • Colman E.
      • Castro-Montoya J.M.
      • Stefanov I.
      • Vlaeminck B.
      Milk odd- and branched-chain fatty acids as biomarkers of rumen function—An update.
      ). Although this relationship holds in some studies (e.g.,
      • Chung Y.-H.
      • Walker N.D.
      • McGinn S.M.
      • Beauchemin K.A.
      Differing effects of 2 active dried yeast (Saccharomyces cerevisiae) strains on ruminal acidosis and methane production in non lactating dairy cows.
      ;
      • van Zijderveld S.M.
      • Gerrits W.J.J.
      • Apajalahti J.A.
      • Newbold J.R.
      • Dijkstra J.
      • Leng R.A.
      • Perdok H.B.
      Nitrate and sulfate: Effective alternative hydrogen sinks for mitigation of ruminal methane production in sheep.
      ), treatment effects on CH4 emissions and VFA proportions did not correspond in about half of the studies (e.g.,
      • Beauchemin K.A.
      • McAllister T.A.
      • McGinn S.M.
      Dietary mitigation of enteric methane from cattle.
      ;
      • Brask M.
      • Weisbjerg M.R.
      • Hellwing A.L.F.
      • Bannink A.
      • Lund P.
      Methane production and diurnal variation measured in dairy cows and predicted from fermentation pattern and nutrient or carbon flow.
      ; Supplementary Table S1; https://doi.org/10.3168/jds.2016-12030). Overall, the relations between CH4 emission and both VFA and pH are variable in the literature and not as straightforward as expected from theory. Across these studies, no consistent relationship has been identified between effects on CH4 emissions and effects on the microbiome.

      Milk Production and Composition

      • Kirchgessner M.
      • Windisch W.
      • Muller H.L.
      Nutritional factors for the quantification of methane production. In Ruminant Physiology: Digestion, Metabolism, Growth and Reproduction.
      used a modeling approach to estimate that, starting from an annual production rate of 110 kg from a dairy cow producing 5,000 kg of milk/yr, doubling milk production adds only 5 kg to MeP and so greatly reduces MeY. This effect was further described by
      • Hristov A.N.
      • Johnson K.A.
      • Kebreab E.
      Livestock methane emissions in the United States.
      . However, milk yield alone does not provide a good prediction of MeP in dairy cows.
      • 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.
      indicated that CH4 as a proportion of GE intake or milk energy output was negatively related to milk production. It is less clear if MeY can be predicted from milk yield when making comparisons across studies.
      Milk solids yields or concentrations are another potential source for predicting CH4 emissions.
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      identified milk fat content as a key explanatory variable for predicting CH4 emissions of North American dairy and beef cattle.
      • Kandel P.B.
      • Vanderick S.
      • Vanrobays M.-L.
      • Vanlierde A.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • Gengler N.
      Consequences of selection for environmental impact traits in dairy cows.
      , however, found a low negative genetic correlation between infrared-predicted MeI (calibrated from SF6 tracer data) and fat yield (g/d; r = −0.13). Using essentially the same SF6 tracer data,
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      found low phenotypic correlations between fat yield (g/d) and SF6 MeP or MeI of 0.08 and −0.13, respectively. Additionally,
      • Kandel P.B.
      • Vanderick S.
      • Vanrobays M.-L.
      • Vanlierde A.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • Gengler N.
      Consequences of selection for environmental impact traits in dairy cows.
      found a moderate genetic correlation between infrared-predicted MeI (calibrated from SF6 tracer data) and protein yield (g/d; r = −0.47). Based on same SF6 tracer data,
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      found low to moderate phenotypic correlations between protein yield (g/d) and SF6 MeP or MeI of 0.53 and −0.09, respectively. Further,
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      observed a low correlation between milk lactose content and MeI (r = 0.19) and, based on the data used by
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      , the correlation between milk lactose content and MeP or MeI was 0.33 and −0.21, respectively. Interestingly,
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      developed prediction equations for MeY and MeI, and total milk fat and milk protein content were never selected in any of the prediction models. Overall, these results suggests that major milk components have low potential as a proxy for CH4.

      Milk Fatty Acids

      Milk fatty acids (FA) are a particularly promising methane proxy because of the direct link to microbial digestion in the rumen. The fermentation of dietary carbohydrates in the rumen leads to the production of H2, and methanogenesis is the essential pathway to expel this H2 (
      • Moss A.R.
      • Jouany J.P.
      • Newbold J.
      Methane production by ruminants: Its contribution to global warming.
      ). The synthesis of acetate and β-hydroxybutyrate produces H2 that is then converted to CH4, while propionate synthesis consumes H2 (
      • Demeyer D.I.
      • van Nevel C.J.
      Methanogenesis, an integrated part of carbohydrate fermentation and its control.
      ). The de novo synthesis of milk FA in the mammary gland uses mostly acetate (85% of de novo synthesized FA) but also β-hydroxybutyrate (10 to 15%), and a limited amount of propionate to make short-chain FA (C4, C6, and C8), nearly all medium-chain FA (C10, C12, and C14), and approximately 60% of C16 (
      • Chilliard Y.
      • Ferlay A.
      • Mansbridge R.M.
      • Doreau M.
      Ruminant milk fat plasticity: Nutritional control of saturated, polyunsaturated, trans and conjugated fatty acids.
      ;
      • Couvreur S.
      • Hurtaud C.
      • Marnet P.G.
      • Faverdin P.
      • Peyraud J.L.
      Composition of milk fat from cows selected for milk fat globule size and offered either fresh pasture or a corn silage-based diet.
      ). A positive relationship between VFA proportions and hydrogenotrophic methanogenesis is expected as a consequence of the common biochemical pathways between de novo synthesized milk FA and CH4 production. Furthermore, odd- and branched-chain FA might be related to CH4 emission because of their microbial origin, differences in the composition of major fibrolytic and amylolytic bacteria (
      • Vlaeminck B.
      • Fievez V.
      • Cabrita A.R.J.
      • Fonseca A.J.M.
      • Dewhurst R.J.
      Factors affecting odd- and branched-chain fatty acids in milk: A review.
      ), and de novo synthesis of C15:0 and C17:0 with propionate as substrate (
      • Fievez V.
      • Colman E.
      • Castro-Montoya J.M.
      • Stefanov I.
      • Vlaeminck B.
      Milk odd- and branched-chain fatty acids as biomarkers of rumen function—An update.
      ). Unsaturated fatty acids in milk originate from dietary unsaturated fatty acids, as well as from desaturation of saturated fatty acids in the mammary gland, and are negatively associated with enteric CH4 emissions (
      • Grainger C.
      • Beauchemin K.A.
      Can enteric methane emissions from ruminants be lowered without lowering their production?.
      ). Because several long-chain unsaturated FA originate from dietary unsaturated FA, a negative relation can be expected between these long-chain unsaturated FA in the milk and CH4 emissions (
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      ).
      Prediction equations have been developed to describe relationships between milk FA (measured using gas chromatography) and enteric CH4 emissions. Currently, data are available from 9 studies:
      • Chilliard Y.
      • Martin C.
      • Rouel J.
      • Doreau M.
      Milk fatty acids in dairy cows fed whole crude linseed, extruded linseed, or linseed oil, and their relationship with methane output.
      ,
      • Delfosse C.
      • Froidmont E.
      • Fernandez Pierna J.A.
      • Martin C.
      • Dehareng F.
      Estimation of methane emissions by dairy cows on the basis of milk composition.
      ,
      • Castro Montoya J.
      • Bhagwat A.M.
      • Peiren N.
      • De Campeneere S.
      • De Baets B.
      • Fievez V.
      Relationships between odd- and branched-chain fatty acid profiles in milk and calculated enteric methane proportion for lactating dairy cattle.
      ,
      • Dijkstra J.
      • van Zijderveld S.M.
      • Apajalahti J.A.
      • Bannink A.
      • Gerrits W.J.J.
      • Newbold J.R.
      • Perdok H.B.
      • Berends H.
      Relationships between methane production and milk fatty acid profiles in dairy cattle.
      ,
      • Mohammed R.
      • McGinn S.M.
      • Beauchemin K.A.
      Prediction of enteric methane output from milk fatty acid concentrations and rumen fermentation parameters in dairy cows fed sunflower, flax, or canola seeds.
      ,
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      ,
      • Williams S.R.O.
      • Williams B.
      • Moate P.J.
      • Deighton M.H.
      • Hannah M.C.
      • Wales W.J.
      Methane emissions of dairy cows cannot be predicted by the concentrations of C8:0 and total C18 fatty acids in milk.
      ,
      • Dijkstra J.
      • van Gastelen S.
      • Antunes-Fernandes E.C.
      • Warner D.
      • Hatew B.
      • Klop G.
      • Podesta S.C.
      • van Lingen H.J.
      • Hettinga K.A.
      • Bannink A.
      Relationships between milk fatty acid profiles and enteric methane production in dairy cattle fed grass- or grass silage-based diets.
      , and
      • Rico D.E.
      • Chouinard P.Y.
      • Hassanat F.
      • Benchaar C.
      • Gervais R.
      Prediction of enteric methane emissions from Holstein dairy cows fed various forage sources.
      . Most of these studies have been extensively reviewed by
      • van Gastelen S.
      • Dijkstra J.
      Prediction of methane emission from lactating dairy cows using milk fatty acids and mid-infrared spectroscopy.
      . The prediction equations had R2 that ranged between 47 and 95%, and the relationships between the individual milk FA and MeP differed considerably (
      • van Gastelen S.
      • Dijkstra J.
      Prediction of methane emission from lactating dairy cows using milk fatty acids and mid-infrared spectroscopy.
      ). The differences between the studies might be the result of the different CH4 measurement techniques (e.g., cattle respiration chambers, SF6 tracer technique) and the way in which enteric CH4 is expressed (i.e., strong correlations between milk FA and MeY can disappear for MeI;
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      ;
      • Dijkstra J.
      • van Gastelen S.
      • Antunes-Fernandes E.C.
      • Warner D.
      • Hatew B.
      • Klop G.
      • Podesta S.C.
      • van Lingen H.J.
      • Hettinga K.A.
      • Bannink A.
      Relationships between milk fatty acid profiles and enteric methane production in dairy cattle fed grass- or grass silage-based diets.
      ). More recently,
      • Vanrobays M.-L.
      • Bastin C.
      • Vandenplas J.
      • Hammami H.
      • Soyeurt H.
      • Vanlierde A.
      • Dehareng F.
      • Froidmont E.
      • Gengler N.
      Changes throughout lactation in phenotypic and genetic correlations between methane emissions and milk fatty acid contents predicted from milk mid-infrared spectra.
      obtained results that suggest the correlations between enteric CH4 and milk FA vary throughout lactation, providing a further explanation for some of the diversity of results in literature.

      Milk Mid-Infrared Analysis

      Milk MIR spectroscopy is a relatively inexpensive, rapid, and routinely used technique in milk recording systems to predict fat, protein, lactose, and urea contents in milk to assist farm management decisions and breeding. It can be used as a promising strategy to exploit the link between enteric CH4 emission from ruminants and microbial digestion in the rumen by assessing the signature of digestion in milk composition. Milk MIR data can be obtained through regular milk recording schemes, as well as, on a herd level, through analysis used for milk payment systems. Diverse milk phenotypes can be obtained by MIR spectrometry, including detailed milk composition (e.g., FA as reported by
      • Soyeurt H.
      • Dehareng F.
      • Gengler N.
      • McParland S.
      • Wall E.
      • Berry D.P.
      • Coffey M.
      • Dardenne P.
      Mid-infrared prediction of bovine milk fatty acids across multiple breeds, production systems and countries.
      ), technological properties of milk, and cow physiological status (
      • De Marchi M.
      • Toffanin V.
      • Cassandro M.
      • Penasa M.
      Invited review: Mid-infrared spectroscopy as phenotyping tool for milk traits.
      ;
      • Gengler N.
      • Soyeurt H.
      • Dehareng F.
      • Bastin C.
      • Colinet F.
      • Hammami H.
      • Vanrobays M.-L.
      • Lainé A.
      • Vanderick S.
      • Grelet C.
      • Vanlierde A.
      • Froidmont E.
      • Dardenne P.
      Capitalizing on fine milk composition for breeding and management of dairy cows.
      ). Several of these novel traits (i.e., FA composition) have been identified as potential indicators of enteric CH4 emission. Therefore, using MIR to predict MeP (
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      ;
      • Vanlierde A.
      • Dehareng F.
      • Froidmont E.
      • Dardenne P.
      • Kandel P.B.
      • Gengler N.
      • Deighton M.H.
      • Buckley F.
      • Lewis E.
      • McParland S.
      • Berry D.P.
      • Soyeurt H.
      Prediction of the individual enteric methane emission of dairy cows from milk-mid-infrared spectra. Advances in Animal Biosciences.
      ,
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      ;
      • van Gastelen S.
      • Dijkstra J.
      Prediction of methane emission from lactating dairy cows using milk fatty acids and mid-infrared spectroscopy.
      ) is a logical extension of its use to quantify major (i.e., fat, protein, casein, lactose, and urea) and minor milk components (e.g., FA).
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      assessed the feasibility to predict individual MeP from dairy cows using milk MIR spectra. Their initial results suggest that this approach could be useful to predict MeP at the farm or regional scale, as well as to identify low-CH4-emitting cows. According to
      • van Gastelen S.
      • Dijkstra J.
      Prediction of methane emission from lactating dairy cows using milk fatty acids and mid-infrared spectroscopy.
      , MIR spectroscopy has the disadvantage that it has moderate predictive power for CH4 emission, both direct and indirect (i.e., via milk FA), and that it lacks the ability to predict important milk FA for CH4 prediction. They concluded that it may not be sufficient to predict MeP based on MIR alone. It is, however, possible to improve the accuracy of prediction through a combination of MIR with some animal characteristics such as lactation stage (
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      ). The advantage of this latter development is that this type of prediction can be done on a very large scale inside a routine milk recording system (
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      ).

      Hindgut and Feces

      Recent studies have explored the possibility of using fecal analysis to predict MeP (
      • Froidmont C.
      • Delfosse F.
      • Dehareng F.
      • Martin C.
      • Decruyneaere V.
      • Bartiaux-Thill N.
      • Dardenne P.
      Estimation of methane emission by dairy cows according to NIRS prediction of feces composition.
      ;
      • McCartney C.A.
      • Bull I.D.
      • Waters S.M.
      • Dewhurst R.J.
      Technical note: Comparison of biomarker and molecular biological methods for estimating methanogen abundance.
      ,
      • McCartney C.A.
      • Bull I.D.
      • Yan T.
      • Dewhurst R.J.
      Assessment of archaeol as a molecular proxy for methane production in cattle.
      ). The membrane lipids of methanogens and other archaea contain distinctive ether lipids, such as the diether archaeol and tetraether caldarchaeol. Studies in other ecosystems have used these lipids as proxies for archaea (
      • Wuchter C.
      • Schouten S.
      • Coolen M.J.L.
      • Damste J.S.S.
      Temperature-dependent variation in the distribution of tetraether membrane lipids of marine Crenarchaeota: Implications for TEX86 paleothermometry.
      ), as well as the environment in which archaea are (or in the case of archeological samples: were) present. These compounds resist digestion and are found at elevated concentrations in feces (
      • McCartney C.A.
      • Dewhurst R.J.
      • Bull I.D.
      Changes in the ratio of tetraether to diether lipids in cattle feces in response to altered dietary ratio of grass silage and concentrates.
      ).
      • Gill F.L.
      • Dewhurst R.J.
      • Dungait J.A.J.
      • Evershed R.P.
      • Ives L.
      • Li C.S.
      • Pancost R.D.
      • Sullivan M.
      • Bera S.
      • Bull I.D.
      Archaeol—A biomarker for foregut fermentation in modern and ancient herbivorous mammals?.
      evaluated feces from a range of herbivore species and showed that archaeol is distinctive to herbivores with foregut fermentation (rumen), whereas archaeol was undetectable in feces from hindgut fermenters. A significant relationship was found between fecal archaeol concentration and MeP across a range of diets when comparing treatment means (
      • McCartney C.A.
      • Bull I.D.
      • Waters S.M.
      • Dewhurst R.J.
      Technical note: Comparison of biomarker and molecular biological methods for estimating methanogen abundance.
      ). However, only a weak relationship was detected between individual estimates of MeP and fecal archaeol (
      • McCartney C.A.
      • Bull I.D.
      • Yan T.
      • Dewhurst R.J.
      Assessment of archaeol as a molecular proxy for methane production in cattle.
      ;
      • Schwarm A.
      • Schweigel-Röntgen M.
      • Kreuzer M.
      • Ortmann S.
      • Gill F.
      • Kuhla B.
      • Meyer U.
      • Lohölter M.
      • Derno M.
      Methane emission, digestive characteristics and faecal archaeol in heifers fed diets based on silage from brown midrib maize as compared to conventional maize.
      ). There was no relationship between archaeol concentrations in rumen digesta and feces, most likely as a result of variation in the outflow of methanogens from the rumen (
      • McCartney C.A.
      • Bull I.D.
      • Dewhurst R.J.
      Using archaeol to investigate the location of methanogens in the ruminant digestive tract.
      ). As a consequence, the fecal archaeol approach is unlikely to be useful to assess MeP from individual animals.

      Whole-Tract Digestibility

      Nutrient fermentation and absorption from the rumen is a major component of whole-tract digestibility; therefore, whole-tract digestibility may serve as a proxy for enteric CH4 emissions. An early work by
      • Blaxter K.L.
      • Clapperton J.L.
      Prediction of the amount of methane produced by ruminants.
      found a positive relationship (P < 0.001, residual standard deviation: ±0.71) between CH4 (% of GE intake) and energy digestibility with sheep fed hay- or grass silage-based diets at the maintenance level. However, this relationship was not confirmed in several recent studies (
      • Yan T.
      • Porter M.G.
      • Mayne S.C.
      Prediction of methane emission from beef cattle using data measured in indirect open-circuit respiration calorimeters.
      ;
      • Ramin M.
      • Huhtanen P.
      Development of equations for predicting methane emissions from ruminants.
      ;
      • Stergiadis S.
      • Zou C.X.
      • Chen X.J.
      • Allen M.
      • Wills D.
      • Yan T.
      Equations to predict methane emissions from cows fed at maintenance energy level in pasture-based systems.
      ). Nonetheless, adding digestibility as a predictor variable to DMI or GE improved prediction accuracy. A similar result was obtained in a meta-analysis of calorimeter chamber data for beef cattle offered mixed diets (
      • Yan T.
      • Porter M.G.
      • Mayne S.C.
      Prediction of methane emission from beef cattle using data measured in indirect open-circuit respiration calorimeters.
      ); energy digestibility along with GE intake improved the accuracy of CH4 prediction, despite the fact that there was no direct linear relationship between energy digestibility and MeY or percent of GE intake. In a meta-analysis of calorimeter data from dairy and beef cattle and sheep obtained from the scientific literature,
      • Ramin M.
      • Huhtanen P.
      Development of equations for predicting methane emissions from ruminants.
      found that energy or OM digestibility had a positive effect on MeP when used as a secondary factor to support DMI or feeding level for prediction of MeP. These results confirm that whole-tract digestibility variables have potential as additional variables to improve the prediction of enteric CH4 emissions from cattle and sheep.
      It is well documented that forage-based diets favor production of acetic and butyric acids in the rumen, whereas increasing dietary fiber concentration in general reduces energy and nutrient digestibility (
      • Agricultural Research Council
      ). Methane yield was positively related to the ratio of acetic and butyric acid divided by propionic acid (
      • Moss A.R.
      • Jouany J.P.
      • Newbold J.
      Methane production by ruminants: Its contribution to global warming.
      ). In a study specifically designed to evaluate the effects of grass maturity on digestibility and MeP in dry cows offered fresh grass-only diets at maintenance level, it was found that increasing ADF concentrations reduced whole-tract OM digestibility and also CH4 emissions (possibly because less fermentable OM was available during restricted feeding). However, the reduction rates for these 2 variables were different: increasing grass ADF concentrations from 25 to 35% reduced OM digestibility by 13.1%, whereas MeY was only reduced by 5.6%.
      • Warner D.
      • Hatew B.
      • Podesta S.C.
      • Klop G.
      • van Gastelen S.
      • van Laar H.
      • Dijkstra J.
      • Bannink A.
      Effects of nitrogen fertilisation rate and maturity of grass silage on methane emission by lactating dairy cows.
      reported that although increasing maturity of grass silage reduced both whole-tract OM digestibility and MeP of lactating dairy cows, there was a poor relationship between the latter 2 variables, and OM digestibility could only explain a minor part of the variation in MeP. The conflicting effect of dietary fiber concentration on MeP and whole-tract digestibility would affect the value of digestibility as a proxy for enteric CH4 emissions. Indeed, recent calorimeter chamber studies did not detect any linear relationships between digestibility and MeY in grams per kilogram of DMI or percent of GE intake in cattle (
      • Yan T.
      • Porter M.G.
      • Mayne S.C.
      Prediction of methane emission from beef cattle using data measured in indirect open-circuit respiration calorimeters.
      ;
      • Stergiadis S.
      • Zou C.X.
      • Chen X.J.
      • Allen M.
      • Wills D.
      • Yan T.
      Equations to predict methane emissions from cows fed at maintenance energy level in pasture-based systems.
      ) and sheep (
      • Zhao Y.G.
      • O’Connell N.E.
      • Yan T.
      Prediction of enteric methane emissions from sheep offered fresh perennial ryegrass (Lolium perenne) using data measured in indirect open-circuit respiration chambers.
      ), despite the earlier findings of
      • Blaxter K.L.
      • Clapperton J.L.
      Prediction of the amount of methane produced by ruminants.
      . Therefore, whole-tract digestibility variables cannot serve as primary predictors for enteric MeP in cattle or sheep, but might be used as additional variables to improve the accuracy of prediction of CH4 output.

      Whole Animal

      BW and Conformation Traits

      Body weight has been widely used as a primary predictor for enteric MeP from dairy and beef cattle (e.g.,
      • Holter J.B.
      • Young A.J.
      Methane production in dry and lactating Holstein cows.
      ;
      • Yan T.
      • Porter M.G.
      • Mayne S.C.
      Prediction of methane emission from beef cattle using data measured in indirect open-circuit respiration calorimeters.
      ;
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      ), especially where feed intake data are not available. Generally, heavier animals have higher maintenance requirements and thus eat more and produce more CH4.
      • Antunes-Fernandes E.C.
      • van Gastelen S.
      • Dijkstra J.
      • Hettinga K.A.
      • Vervoort J.
      Milk metabolome relates enteric methane emission to milk synthesis and energy metabolism pathways.
      found a relationship (r = 0.44) between BW and MeI (g/kg of fat- and protein-corrected milk). A higher BW requires more feed to be used for maintenance purposes, thus less feed is available for milk production, which is expected to increase MeI. A relationship between BW and MeY was not found, however. There is a general relationship between BW and rumen capacity (
      • Demment M.W.
      • Van Soest P.J.
      A nutritional explanation for body-size patterns of ruminant and nonruminant herbivores.
      ), such that when feed intake is kept constant, a higher rumen capacity results in a lower passage rate (
      • Demment M.W.
      • Van Soest P.J.
      A nutritional explanation for body-size patterns of ruminant and nonruminant herbivores.
      ), resulting in a higher MeP (
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      ). From studies in sheep, BW seems to be a poor predictor of DMI and methane emissions (
      • Moorby J.M.
      • Fleming H.R.
      • Theobald V.J.
      • Fraser M.D.
      Can live weight be used as a proxy for enteric methane emissions from pasture-fed sheep?.
      ).
      In cattle, BW can be predicted from 3-dimensional images (
      • Kuzuhara Y.
      • Kawamura K.
      • Yoshitoshi R.
      • Tamaki T.
      • Sugai S.
      • Ikegami M.
      • Kurokawa Y.
      • Obitsu T.
      • Okita M.
      • Sugino T.
      • Yasuda T.
      A preliminarily study for predicting body weight and milk properties in lactating Holstein cows using a three-dimensional camera system.
      ) or from linear conformation traits (e.g., stature, chest width, body depth, angularity:
      • Coffey M.P.
      • Simm G.
      • Hill W.G.
      • Brotherstone S.
      Genetic evaluations of dairy bulls for daughter energy balance profiles using linear type scores and body condition score analyzed using random regression.
      ;
      • Yan T.
      • Mayne C.S.
      • Patterson D.C.
      • Agnew R.E.
      Prediction of body weight and empty body composition using body size measurements in lactating dairy cows.
      ,
      • Yan T.
      • Patterson D.C.
      • Mayne C.S.
      • Agnew R.E.
      • Porter M.G.
      Prediction of empty body weight and composition from live weight and other live animal measurements in lactating dairy cows.
      ) although it is not routinely recorded in many countries. Because it is one of the explanatory variables for enteric MeP, it seems likely that linear conformation traits could be useful predictors as well. However, little information is currently available on the relationship between MeP and body conformation traits. Conformation traits may also be indicators for rumen volume, which affects enteric MeP through effects on feed intake and rumen passage rates. Body condition score is another conformation trait that may affect MeP. A fat animal may produce less CH4 than a lean animal at a given BW and offered the same diet, because body fat metabolism requires less energy than protein metabolism; thus, fat animals require less feed intake for maintenance (
      • Agnew R.E.
      • Yan T.
      The impact of recent research on energy feeding systems for dairy cattle.
      ).

      Animal Type and Lactation Stage

      In a meta-analysis of calorimeter chamber data, which took into account differences in diet and feeding level,
      • Yan T.
      • Agnew R.E.
      • Gordon F.J.
      • Porter M.G.
      The prediction of methane energy output in dairy and beef cattle offered grass silage-based diets.
      found no significant differences between dairy cows and beef cattle in terms of CH4 energy output as a proportion of GE or digestible energy intake. Similarly, there were no differences in these CH4 emission variables between Holstein and Norwegian dairy cows offered the same diets during early, mid, and late lactation (
      • Yan T.
      Comparison of enteric methane emissions of lactating dairy cows between Holstein-Friesian and Norwegian breeds.
      ). Lactation stage can provide a crude proxy for methane emissions from dairy cattle, based on a rough approximation of milk yield during lactation (
      • Garnsworthy P.C.
      • Craigon J.
      • Hernandez-Medrano J.H.
      • Saunders N.
      Variation among individual dairy cows in methane measurements made on farm during milking.
      ). Nonetheless, the value of lactation stage as a complementary proxy (discussed below) is illustrated by the improved accuracy realized due to inclusion of lactation stage alongside milk MIR spectral data in the analysis reported by
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      .
      Table 1 presents a summary of proxies reviewed in terms of their attributes, including simplicity, cost, accuracy, invasiveness, and throughput. Evaluation of proxies in these terms was based on the literature and discussions among experts of the METHAGENE project (
      • Methagene
      METHAGENE EU COST Action FA1302 on large-scale methane measurements on individual ruminants for genetic evaluations.
      ). A closer look at this summary indicates that no single proxy offers a good solution in terms of all of these attributes, although the low cost and high throughput of milk MIR make it a good candidate for further work on refining methods, improving calibrations, and exploring best combinations with other proxies (as discussed below).
      Table 1Summary of proxies reviewed in terms of their attributes including simplicity, cost, accuracy, invasiveness, and throughput
      ProxySimplicity
      Simplicity is the ease with which measurement of a proxy can be made, scored as high (H), moderate (M), or low (L).
      Cost
      Cost is all costs associated with the measurement of the trait, scored as high (H), moderate (M), or low (L).
      Invasiveness
      Invasiveness is the intensity of animal handling needed to measure the proxy, and is judged as “yes” or “no.” If yes, invasiveness is then further scored as high (H), moderate (M), or low (L), indicated in parentheses.
      Throughput
      Throughput is the amount of data or phenotypes of the proxy that can be measured or generated in a given time (per animal), scored as high (H), moderate (M), or low (L).
      Accuracy
      Accuracy refers to the accuracy of the proxy to the trait methane. It is summarized as informed consensus of the authors, based upon a thorough review of accuracies reported in literature (see other columns, such as R2) and the experience and opinion of the authors; scored as high (H), moderate (M), or low (L).
      CH4 unitCH4 measure
      Predicted methane emission (g/d); SF6 = sulfur hexafluoride technique; RC = respiration chambers; AMS = automatic milking system; GA = gas analysis.
      N
      Number of animals.
      R2rP-valueSpecies
      Dairy or beef cattle or sheep.
      Reference
      Mouth and ingestion
       Feed intakeMHNoLHg/dPrediction665ND
      Not determined.
      0.72NDDairy
      • 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.
      )
       DMIMHNoLMkg/dSF6 + RC890.64NDNDDairy
      • Ellis J.L.
      • Kebreab E.
      • Odongo N.E.
      • McBride B.W.
      • Okine E.K.
      • France J.
      Prediction of methane production from dairy and beef cattle.
       Gross energy intake   + NDF + ether extractMHNoLHMJ/dRC2,574ND0.81NDDairy
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      Rumen
       VFALMYes (M)ML/Mg/dRC218ND−0.14NDBeef
      • Herd R.M.
      • Bird S.H.
      • Donoghue K.A.
      • Arthur P.F.
      • Hegarty R.S.
      Phenotypic associations between methane production traits, volatile fatty acids and animal breeding traits.
      g/kg of milkRC218ND0.40NDBeef
      • Herd R.M.
      • Bird S.H.
      • Donoghue K.A.
      • Arthur P.F.
      • Hegarty R.S.
      Phenotypic associations between methane production traits, volatile fatty acids and animal breeding traits.
      g/kg of DMIRC218ND0.40NDBeef
      • Herd R.M.
      • Bird S.H.
      • Donoghue K.A.
      • Arthur P.F.
      • Hegarty R.S.
      Phenotypic associations between methane production traits, volatile fatty acids and animal breeding traits.
       Rumen microbiotaLHYes (M)L to ML/Mg/kg of DMIRC720.49Beef
      • Wallace R.J.
      • Rooke J.A.
      • Duthie C.-A.
      • Hyslop J.J.
      • Ross D.W.
      • McKain N.
      • de Souza S.M.
      • Snelling T.J.
      • Waterhouse A.
      • Roehe R.
      Archaeal abundance in post-mortem ruminal digesta may help predict methane emissions from beef cattle.
       Rumination timeHMNoHL/Mg/dAMS-inline as flux156NDND<0.01Dairy
      • Watt L.J.
      • Clark C.E.F.
      • Krebs G.L.
      • Petzel C.E.
      • Nielsen S.
      • Utsumi S.A.
      Differential rumination, intake, and enteric methane production of dairy cows in a pasture-based automatic milking system.
       Rumen volumeLHYes (L)LMg/kg of DMIRC160NDND<0.05Sheep
      • Goopy J.P.
      • Donaldson A.
      • Hegarty R.
      • Vercoe P.E.
      • Haynes F.
      • Barnett M.
      • Oddy V.H.
      Low-methane yield sheep have smaller rumens and shorter rumen retention time.
       Particulate-phase   retention timeLHYes (M)LMg/kg of DMIRC1600.56NDNDSheep
      • Goopy J.P.
      • Donaldson A.
      • Hegarty R.
      • Vercoe P.E.
      • Haynes F.
      • Barnett M.
      • Oddy V.H.
      Low-methane yield sheep have smaller rumens and shorter rumen retention time.
       Liquid-phase   retention timeLHYes (M)LMg/kg of DMIRC1600.69NDNDSheep
      • Goopy J.P.
      • Donaldson A.
      • Hegarty R.
      • Vercoe P.E.
      • Haynes F.
      • Barnett M.
      • Oddy V.H.
      Low-methane yield sheep have smaller rumens and shorter rumen retention time.
      Udder and milk
       Milk yieldHLNoHM/Hg/dGA820.50NDNDDairy
      • Garnsworthy P.C.
      • Craigon J.
      • Hernandez-Medrano J.H.
      • Saunders N.
      Variation among individual dairy cows in methane measurements made on farm during milking.
      g/dSF6446ND0.52NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
      L/dRC5790.43–0.68NDNDDairy
      • 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.
      g/dGA1560.69NDNDDairy
      • Watt L.J.
      • Clark C.E.F.
      • Krebs G.L.
      • Petzel C.E.
      • Nielsen S.
      • Utsumi S.A.
      Differential rumination, intake, and enteric methane production of dairy cows in a pasture-based automatic milking system.
      g/kg of milkSF6446ND−0.52NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
      g/kg of milkSF660ND−0.45NDDairy
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
       Fat contentHLNoHL/Mg/dSF6446ND0.01NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
      g/kg of milkSF6446ND0.17NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
      g/kg of milkSF660ND0.49NDDairy
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
       Protein contentHLNoHL/Mg/dSF6446ND−0.15NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
      g/kg of milkSF6446ND0.49NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
      g/kg of milkSF660ND0.40NDDairy
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
       Lactose contentHLNoHL/Mg/dSF6446ND0.33NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
      g/kg of milkSF660ND0.19NDDairy
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      g/kg of milkSF6446ND−0.21NDDairy
      • Vanlierde A.
      • Vanrobays M.-L.
      • Gengler N.
      • Dardenne P.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Mathot M.
      • Dehareng F.
      Milk mid-infrared spectra enable prediction of lactation-stage-dependent methane emissions of dairy cattle within routine population-scale milk recording schemes.
       Single fatty acids   (FA, g/100 g of FA)MMNoMMg/kg of DMIRC146ND−0.56–0.34NDDairy
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      g/kg of FPCM
      Fat- and protein-corrected milk.
      RC146ND−0.45–0.36NDDairy
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
       Single FA (MIR
      Milk infrared spectroscopy.
      ;   g/dL of milk)
      HLNoHMg/kg of milkSF6600.01–0.360.11–0.60NDDairy
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
       Combined FA   (g/100 g of FA)MMNoMM/Hg/kg of DMIRC1460.65–0.75−0.56–0.42NDDairy
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      g/kg of FPCMRC1460.01–0.130.08–0.36NDDairy
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
       Combined FA (MIR;   g/dL of milk)HLNoHM/Hg/kg of milkSF6600.790.89NDDairy
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
       MIRHLNoHHg/dSF64460.770.88NDDairy
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      g/kg of milkSF6770.870.93NDDairy
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      Hindgut and feces
       DigestibilityLHYes (L)LMg/dRC250.62NDNDDairy
      • Stergiadis S.
      • Zou C.X.
      • Chen X.J.
      • Allen M.
      • Wills D.
      • Yan T.
      Equations to predict methane emissions from cows fed at maintenance energy level in pasture-based systems.
      )
       Fecal etherLM/HYes (L)LL/Mg/kg of DMISF6510.27NDNDBeef
      • McCartney C.A.
      • Bull I.D.
      • Waters S.M.
      • Dewhurst R.J.
      Technical note: Comparison of biomarker and molecular biological methods for estimating methanogen abundance.
      g/kg of DMIRC160.37NDNDDairy
      • McCartney C.A.
      • Bull I.D.
      • Yan T.
      • Dewhurst R.J.
      Assessment of archaeol as a molecular proxy for methane production in cattle.
      Whole animal
       DIMHLNoHL/Mg/dSF660ND−0.29NDDairy
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      g/dGA14,5330.94NDNDDairy
      • Garnsworthy P.C.
      • Craigon J.
      • Hernandez-Medrano J.H.
      • Saunders N.
      Variation among individual dairy cows in methane measurements made on farm during milking.
       Week of pregnancyHLNoHg/dGA14,5330.85NDNDDairy
      • Garnsworthy P.C.
      • Craigon J.
      • Hernandez-Medrano J.H.
      • Saunders N.
      Variation among individual dairy cows in methane measurements made on farm during milking.
      )
       BWHMNoHML/dRC0.26ND<0.01Beef
      • Yan T.
      • Porter M.G.
      • Mayne S.C.
      Prediction of methane emission from beef cattle using data measured in indirect open-circuit respiration calorimeters.
      1 Simplicity is the ease with which measurement of a proxy can be made, scored as high (H), moderate (M), or low (L).
      2 Cost is all costs associated with the measurement of the trait, scored as high (H), moderate (M), or low (L).
      3 Invasiveness is the intensity of animal handling needed to measure the proxy, and is judged as “yes” or “no.” If yes, invasiveness is then further scored as high (H), moderate (M), or low (L), indicated in parentheses.
      4 Throughput is the amount of data or phenotypes of the proxy that can be measured or generated in a given time (per animal), scored as high (H), moderate (M), or low (L).
      5 Accuracy refers to the accuracy of the proxy to the trait methane. It is summarized as informed consensus of the authors, based upon a thorough review of accuracies reported in literature (see other columns, such as R2) and the experience and opinion of the authors; scored as high (H), moderate (M), or low (L).
      6 Predicted methane emission (g/d); SF6 = sulfur hexafluoride technique; RC = respiration chambers; AMS = automatic milking system; GA = gas analysis.
      7 Number of animals.
      8 Dairy or beef cattle or sheep.
      9 Not determined.
      10 Fat- and protein-corrected milk.
      11 Milk infrared spectroscopy.

      COMBINING PROXIES FOR METHANE

      Although milk MIR shows promise as a single proxy for CH4 emissions, there may be advantages in using two or more proxies in combination. A combination of proxies might be appropriate for two reasons: (1) proxies may describe independent sources of variation in CH4 emissions, and (2) one proxy allows correction for shortcomings in the way the other proxy describes CH4 emissions (e.g., taking into account lactation stage if CH4 emission prediction coefficients change during the lactation).

      Combining Rumen Measurements as Proxies for Methane

      Rumen microbiome estimates have shown weak and variable relationships with CH4 emissions, both because the molecular techniques used are only semiquantitative and because of real biological effects. It will be useful to adopt more complex multivariate models to explore the relationship between the microbiome and CH4 emissions to accommodate the complexity and interactions among different microbial populations. Parallel consideration of other proxies (e.g., rumen VFA) might help in unravelling some of this complexity.
      • Poulsen M.
      • Clarissa S.
      • Bent Borg J.
      • Ricarda M.E.
      • Anja S.
      • Nuria C.
      • Ole H.
      • Gabriel M.
      • Lena F.
      • Christa S.
      • Wolfram W.
      • Peter L.
      • Andreas S.
      • Tim U.
      Methylotrophic methanogenic Thermoplasmata implicated in reduced methane emissions from bovine rumen.
      suggested that methylotrophic methanogens (order Methanomassiliicoccales) may be important contributors to variation in CH4 emissions. This observation might explain some of the inconsistencies in relationships between ruminal acetate:propionate ratio and CH4 emissions, because the former is theoretically related only to hydrogenotrophic methanogenesis. A combination of rumen VFA and microbiome estimates might be more informative, even though, as far as we are aware, there are not yet sufficient studies with detailed microbiome profiles and rumen metabolite measurements to evaluate this proposition. Additionally, the absorption of the different VFA from the rumen is differentially affected by rumen pH so that rumen VFA proportions measured in rumen fluid do not necessarily provide a good basis for estimating VFA proportions actually produced in the rumen (
      • Brask M.
      • Weisbjerg M.R.
      • Hellwing A.L.F.
      • Bannink A.
      • Lund P.
      Methane production and diurnal variation measured in dairy cows and predicted from fermentation pattern and nutrient or carbon flow.
      ). It may be that a combination of rumen VFA proportions and pH, perhaps with some modeling, might be more informative.
      • McCartney C.A.
      • Bull I.D.
      • Waters S.M.
      • Dewhurst R.J.
      Technical note: Comparison of biomarker and molecular biological methods for estimating methanogen abundance.
      showed large variation in estimates of methanogen abundance in rumen fluid when using different primer sets to detect the same microbial target as determined by quantitative PCR. They also showed the potential value of adding a second proxy, a chemical marker for methanogens (archaeol), to help identify problems with the first (molecular biology) marker. Another example of potential benefits of combining methane proxies is fecal ether lipids.
      • McCartney C.A.
      • Dewhurst R.J.
      • Bull I.D.
      Changes in the ratio of tetraether to diether lipids in cattle feces in response to altered dietary ratio of grass silage and concentrates.
      presented preliminary evidence that the ratio of diether to tetraether lipids (archaeol:GDGT0 ratio) varies in response to the pH challenge to rumen methanogens. It may be that adding a measurement or proxy for rumen pH would improve the relationship between fecal ether lipids and CH4 emissions. In addition, pH has a direct effect on rumen methanogens (
      • Ann S.J.
      • Kessel V.
      • Russell J.B.
      The effect of pH on ruminal methanogenesis.
      ). Taking all this information together, combining measurements of rumen VFA, pH, and the microbiome should be more informative for predicting CH4 emissions than any single measure.

      Modeling: Combining Proxies in Prediction Equations for Methane

      Factors affecting feed intake and consequently CH4 emissions should be included in models for estimating CH4 output. This is because feed intake is the main driver for CH4 emissions of ruminants (
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      ). Feed intake is mainly determined by BW, level of production (i.e., milk yield and composition), growth rate, and feed quality (e.g., forage proportion, protein and fiber contents). A range of other animal, management, and environment factors can influence feed intake, including BCS, lactation stage, pregnancy stage, age, parity, breed, grazing, housing, and weather conditions (e.g., temperature, wind, rain). Most of these factors influence feed intake and, consequently, also methane emissions, and should be included in models for predicting CH4. Feed intake also affects the types of VFA produced, but only after accounting for diet composition, retention time, and feeding behavior it is possible to draw the link between feed intake and VFA production (
      • Ørskov E.R.
      • Ryle M.
      ).

      Combining Diet-Based Measurements with Other Proxies for Methane Emissions

      As shown above, feed intake appears to be a reasonable predictor of MeP. However, a substantial level of variation is left unaccounted for, suggesting that information on dietary composition is needed. This is also important when considering diets of similar DMI but of different nutrient profiles.
      • Ellis J.L.
      • Bannink A.
      • France J.
      • Kebreab E.
      • Dijkstra J.
      Evaluation of enteric methane prediction equations for dairy cows used in whole farm models.
      demonstrated that the more generalized MeP prediction equations performed worse than those that attempted to take important aspects of diet composition into account. The prediction accuracy of MeP depends on the accuracy of quantifying the VFA produced in the rumen (
      • Alemu A.W.
      • Dijkstra J.
      • Bannink A.
      • France J.
      • Kebreab E.
      Rumen stoichiometric models and their contribution and challenges in predicting enteric methane production.
      ), and the type of VFA formed during rumen fermentation depends on the type of substrate fermented (e.g., starch and NDF;
      • Bannink A.
      • van Schijndel M.W.
      • Dijkstra J.
      A model of enteric fermentation in dairy cows to estimate methane emission for the Dutch National Inventory Report using the IPCC Tier 3 approach.
      ). This indicates that including a description of variation in dietary quality caused by nutritional factors might result in improved prediction accuracy of CH4 emission (
      • Ellis J.L.
      • Bannink A.
      • France J.
      • Kebreab E.
      • Dijkstra J.
      Evaluation of enteric methane prediction equations for dairy cows used in whole farm models.
      ;
      • Moraes L.E.
      • Strathe A.B.
      • Fadel J.G.
      • Casper D.P.
      • Kebreab E.
      Prediction of enteric methane emissions from cattle.
      ).
      • Ramin M.
      • Huhtanen P.
      Development of equations for predicting methane emissions from ruminants.
      showed a range of prediction equations for CH4 production in dairy cows that were developed from respiration chamber data. Feed intake was the primary predictor of total CH4 production. Variation in feed intake alone accounted for 52 to 64% of daily CH4 production when cattle were fed ad libitum (
      • 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.
      ). In addition, CH4 production was positively related to diet digestibility and negatively related to dietary fat content, whereas dietary carbohydrate composition had only minor effects. Combining more factors did indeed improve the prediction equation by 15 to 35%, but all factors were still related to feed intake and diet composition, which may lead to multicollinearity. Multicollinearity arises when 2 or more predictor variables are strongly correlated, leading to some coefficient estimates getting inflated in one direction and the others for correlated variables in the opposite direction. Severe (multi)collinearity can be a problem because it can (1) obscure the interpretability of results; (2) increase the variance of estimates thus making them very sensitive to minor changes in the model; (3) reduce the statistical power of the analysis; and (4) lead to problems with linear dependencies when solving the model. As a result, estimates of the quantities of interest may become difficult to obtain, unstable, and hard to interpret. Therefore, care should be taken when choosing which variables (proxies) to include and how to combine them in a predictive model for CH4 in dairy cows.

      Combining Milk-Based Measurements with Other Proxies for Methane Emissions

      As reviewed by
      • van Gastelen S.
      • Dijkstra J.
      Prediction of methane emission from lactating dairy cows using milk fatty acids and mid-infrared spectroscopy.
      , milk FA have potential to predict CH4 emission, but their predictive power may be improved by including other proxies.
      • Mohammed R.
      • McGinn S.M.
      • Beauchemin K.A.
      Prediction of enteric methane output from milk fatty acid concentrations and rumen fermentation parameters in dairy cows fed sunflower, flax, or canola seeds.
      used rumen measurements (i.e., VFA, pH, and protozoa counts), feed intake (i.e., total DMI, forage DMI, and FA intake), and production parameters (i.e., milk yield and composition) in combination with milk FA. The results suggest that milk FA predict CH4 emission better (R2 = 0.74) compared with rumen variables, feed intake, and production parameters (R2 < 0.58). However, combining milk FA with feed intake and production parameters resulted in a model R2 of 0.83, and combining milk FA with feed intake, production, and rumen-related parameters resulted in a model R2 of 0.90. These observations confirm expectations that combination of proxies can result in a more accurate estimation of CH4 emission.
      • Mohammed R.
      • McGinn S.M.
      • Beauchemin K.A.
      Prediction of enteric methane output from milk fatty acid concentrations and rumen fermentation parameters in dairy cows fed sunflower, flax, or canola seeds.
      also compared CH4 emission with CH4 emission predicted by the equations of
      • Chilliard Y.
      • Martin C.
      • Rouel J.
      • Doreau M.
      Milk fatty acids in dairy cows fed whole crude linseed, extruded linseed, or linseed oil, and their relationship with methane output.
      and
      • Dijkstra J.
      • van Zijderveld S.M.
      • Apajalahti J.A.
      • Bannink A.
      • Gerrits W.J.J.
      • Newbold J.R.
      • Perdok H.B.
      • Berends H.
      Relationships between methane production and milk fatty acid profiles in dairy cattle.
      , observing over-prediction of CH4 emission. This indicates that the relation between milk FA and CH4 emission may be diet specific, which is in agreement with
      • Dijkstra J.
      • van Gastelen S.
      • Antunes-Fernandes E.C.
      • Warner D.
      • Hatew B.
      • Klop G.
      • Podesta S.C.
      • van Lingen H.J.
      • Hettinga K.A.
      • Bannink A.
      Relationships between milk fatty acid profiles and enteric methane production in dairy cattle fed grass- or grass silage-based diets.
      .
      • Dijkstra J.
      • van Gastelen S.
      • Antunes-Fernandes E.C.
      • Warner D.
      • Hatew B.
      • Klop G.
      • Podesta S.C.
      • van Lingen H.J.
      • Hettinga K.A.
      • Bannink A.
      Relationships between milk fatty acid profiles and enteric methane production in dairy cattle fed grass- or grass silage-based diets.
      compared observed CH4 emission of dairy cattle fed grass- and grass silage-based diets with CH4 emission predicted with the equation developed by
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      . The
      • van Lingen H.J.
      • Crompton L.A.
      • Hendriks W.H.
      • Reynolds C.K.
      • Dijkstra J.
      Meta-analysis of relationships between enteric methane yield and milk fatty acid profile in dairy cattle.
      equations do not seem to accurately predict MeY and MeI. This indicates that the relation between milk FA profile and CH4 emission in dairy cows fed grass- and grass silage-based diets differs from that with other types of diets, and suggests that diet-specific prediction equations may need to be developed or diet composition may need to be included in the prediction equations.
      • Rico D.E.
      • Chouinard P.Y.
      • Hassanat F.
      • Benchaar C.
      • Gervais R.
      Prediction of enteric methane emissions from Holstein dairy cows fed various forage sources.
      combined feed intake, diet composition (i.e., CP content, NDF content, starch content, and fat content), and milk production with milk FA to develop CH4 prediction equations. The best fit was observed for the model combining milk FA, feed intake, diet composition, and milk production (R2 = 0.84), which was slightly better than the model combining only milk FA and diet composition (R2 = 0.80). This indicates that feed intake and milk yield are valuable proxies in combination with milk FA and diet composition.
      Although
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      showed that it is feasible to predict dairy cow CH4 emissions using MIR spectroscopy (the cross-validated R2 ranged between 0.68 and 0.79), predictions at different stages of lactation were not biologically meaningful. Although lactation stage was a poor CH4 predictor when considered alone,
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      showed that its combination with MIR refined the model. They developed lactation stage–independent (i.e., including only MIR; equivalent to
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      ) and lactation stage–dependent (i.e., including MIR plus DIM to describe lactation stage) CH4 prediction equations. The average CH4 production (g/d) predicted by both models was similar (416 ± 63 g/d). However, in contrast to the lactation stage–independent prediction equation, the lactation stage–dependent prediction equation showed biologically meaningful behavior throughout lactation: an increase in CH4 production (g/d) after calving up to approximately 100 DIM, followed by a gradual decline toward the end of lactation (
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      ). These results indicate the importance of combining milk MIR with lactation stage to improve the prediction of CH4 emission in dairy cows. This result could be important for further development of milk FA-based CH4 prediction equations (
      • Vanrobays M.-L.
      • Bastin C.
      • Vandenplas J.
      • Hammami H.
      • Soyeurt H.
      • Vanlierde A.
      • Dehareng F.
      • Froidmont E.
      • Gengler N.
      Changes throughout lactation in phenotypic and genetic correlations between methane emissions and milk fatty acid contents predicted from milk mid-infrared spectra.
      ).

      PROXIES: APPLICATIONS TO CATTLE MANAGEMENT AND BREEDING

      Methane emissions are not (yet) directly relevant in daily herd management and neither are they included in breeding goals for dairy cattle. There is currently no incentive to include enteric MeP in the breeding goal, even though there is great interest in reducing the release of GHG, which represents a loss of dietary energy in ruminants and is an important contributor to global warming. The incentive could be monetary if financial rewards or penalties were introduced, but could also be environmental or social. A financial reward/penalty for low-/high-emission milk might serve as a good incentive, because it would encourage dairy producers to lower the carbon footprint of milk production. Similarly, if consumers demand more environment friendly livestock products and are willing to pay for this, dairy producers would be interested in putting in extra effort to ensure that their herds have low environmental impact. One problem in this regard would be the difficulty of accounting for nonmarket values of environmental and social factors. To address this,
      • Nielsen H.M.
      • Amer P.R.
      An approach to derive economic weights in breeding objectives using partial profile choice experiments.
      have shown that nonmarket values for traits under selection could be estimated by considering the consumer's “willingness to pay” for aspects that have perceived societal or animal welfare value. Alternatively,
      • Martin-Collado D.
      • Byrne T.
      • Amer P.
      • Santos B.
      • Axford M.
      • Pryce J.
      Analyzing the heterogeneity of farmers’ preferences for improvements in dairy cow traits using farmer typologies.
      have used “1000 minds” methodology to add objectivity to perceived nonmarket values through a survey, where questions on perceived values are assessed through a series of comparisons that are of similar actual value.

      Applications of Proxies to Cattle Management

      Obviously, reduction of CH4 emissions could be achieved by simply reducing livestock numbers. However, the global demand for animal products is growing, with meat and milk consumption projected to double by 2050 (
      • Gerber P.J.
      • Steinfeld H.
      Worldwide growth of animal production and environmental consequences.
      ). Therefore, it is critical to produce more food (e.g., milk) while minimizing environmental impact.
      For sustainable milk production, CH4 mitigation strategies and the estimated environmental impact per unit product from a dairy system are required (
      • Capper J.L.
      • Cady R.A.
      • Bauman D.E.
      The environmental impact of dairy production: 1944 compared with 2007.
      ). In terms of management mitigation strategies, the single most effective GHG mitigation strategy is to increase animal productivity (
      • Hristov A.N.
      • Ott T.
      • Tricarico J.
      • Rotz A.
      • Waghorn G.
      • Adesogan A.
      • Dijkstra J.
      • Montes F.
      • Oh J.
      • Kebreab E.
      • Oosting S.J.
      • Gerber P.J.
      • Henderson B.
      • Makkar H.P.S.
      • Firkins J.L.
      Special topics - Mitigation of methane and nitrous oxide emissions from animal operations: III. A review of animal management mitigation options.
      ). An increase in animal productivity, which can be achieved through improvements in animal genetics, feeding, reproduction, health, and overall management of the animal operation, may allow a reduction of the number of animals needed to maintain constant output with a reduced environmental footprint (
      • Hristov A.N.
      • Ott T.
      • Tricarico J.
      • Rotz A.
      • Waghorn G.
      • Adesogan A.
      • Dijkstra J.
      • Montes F.
      • Oh J.
      • Kebreab E.
      • Oosting S.J.
      • Gerber P.J.
      • Henderson B.
      • Makkar H.P.S.
      • Firkins J.L.
      Special topics - Mitigation of methane and nitrous oxide emissions from animal operations: III. A review of animal management mitigation options.
      ). Additionally, several potentially effective dietary CH4 mitigation practices are available for livestock (reviewed by
      • Hristov A.N.
      • Oh J.
      • Firkins J.L.
      • Dijkstra J.
      • Kebreab E.
      • Waghorn G.
      • Makkar H.P.S.
      • Adesogan A.T.
      • Yang W.
      • Lee C.
      • Gerber P.J.
      • Henderson B.
      • Tricarico J.M.
      Special topics - Mitigation of methane and nitrous oxide emissions from animal operations: I. A review of enteric methane mitigation options.
      ).
      Robust and accurate estimates of CH4 emission on a large scale are needed to evaluate effects of mitigation strategies, and proxies can be used to achieve this objective. This becomes evident when comparing the prediction accuracy of the Intergovernmental Panel on Climate Change (IPCC) Tier 2 model (
      • IPCC
      IPCC Guidelines for National Greenhouse Gas Inventories.
      ), which works with a fixed CH4 conversion rate factor (i.e., 6.5% of GE intake) to estimate CH4 emission of dairy cows, with the IPCC Tier 3 model (
      • Bannink A.
      • van Schijndel M.W.
      • Dijkstra J.
      A model of enteric fermentation in dairy cows to estimate methane emission for the Dutch National Inventory Report using the IPCC Tier 3 approach.
      ), which combines feed intake with diet composition. The IPCC Tier 2 model cannot differentiate between a change in CH4 emission caused by an increase in DMI or a change in CH4 emission caused by an increased dietary fat content, which would have different effects on the resulting CH4 emission but may not differ in GE intake (
      • Gerber P.J.
      • Steinfeld H.
      • Henderson B.
      • Mottet A.
      • Opio C.
      • Dijkman J.
      • Falcucci A.
      • Tempio G.
      ). Thus, proxies—in this example, diet composition—can evaluate impacts of mitigation strategies better.
      Many studies have shown the CH4 reduction potential of specific dietary strategies at the animal level (e.g.,
      • Grainger C.
      • Beauchemin K.A.
      Can enteric methane emissions from ruminants be lowered without lowering their production?.
      ), but a life cycle assessment is needed to determine whether the mitigation strategy would result in a net reduction of CH4 emission over the whole chain (
      • van Middelaar C.E.
      • Berentsen P.B.M.
      • Dijkstra J.
      • De Boer I.J.M.
      Evaluation of a feeding strategy to reduce greenhouse emissions from dairy farming: The level of analysis matters.
      ,
      • van Middelaar C.E.
      • Berentsen P.B.M.
      • Dijkstra J.
      • Van Arendonk J.A.M.
      • De Boer I.J.M.
      Methods to determine the relative value of genetic traits in dairy cows to reduce greenhouse gas emissions along the chain.
      ). For example, at the animal level, replacing grass or grass silage with corn silage in the diet is a valuable strategy with an immediate effect in reducing GHG emissions (e.g.,
      • Beauchemin K.A.
      • Kreuzer M.
      • O’Mara F.
      • McAllister T.A.
      Nutritional management for enteric methane abatement: A review.
      ;
      • van Gastelen S.
      • Antunes-Fernandes E.C.
      • Hettinga K.A.
      • Klop G.
      • Alferink S.J.J.
      • Hendriks W.H.
      • Dijkstra J.
      Enteric methane production, rumen volatile fatty acid concentrations, and milk fatty acid composition in lactating Holstein-Friesian cows fed grass silage- or corn-silage based diets.
      ). However, at the farm and chain level, the strategy is not applicable for farms that cannot further reduce their grassland surface because of compliance with the European Union (EU) derogation regulation. This derogation regulation is specific for several EU countries and allows farmers to apply up to 250 kg of N/ha originating from animal manure, rather than the default 170 kg of N/ha, if farms have at least 70 or 80% grassland (depending on country or region). In addition, for the more-intensive farms that can reduce their grassland area, it takes 44 years at the chain level before annual emission reduction has paid off emissions from land-use change (
      • van Middelaar C.E.
      • Berentsen P.B.M.
      • Dijkstra J.
      • De Boer I.J.M.
      Evaluation of a feeding strategy to reduce greenhouse emissions from dairy farming: The level of analysis matters.
      ). Most whole-farm models for life cycle assessment use empirical models to estimate CH4 emission, such as the IPCC Tier 2 model (
      • IPCC
      IPCC Guidelines for National Greenhouse Gas Inventories.
      ) with a fixed CH4 conversion rate factor estimate CH4 output of dairy cows.
      • van Middelaar C.E.
      • Berentsen P.B.M.
      • Dijkstra J.
      • De Boer I.J.M.
      Evaluation of a feeding strategy to reduce greenhouse emissions from dairy farming: The level of analysis matters.
      used a mechanistic approach (
      • Dijkstra J.
      • Neal H.D.S.C.
      • Beever D.E.
      • France J.
      Simulation of nutrient digestion, absorption and outflow in the rumen: model description.
      ;
      • Bannink A.
      • Kogut J.
      • Dijkstra J.
      • France J.
      • Kebreab E.
      • van Vuuren A.M.
      • Tamminga S.
      Estimation of the stoichiometry of volatile fatty acid production in the rumen of lactating cows.
      ) and reported a CH4 reduction of 3.2% when increasing corn silage by 1 kg of DM/cow per day at the expense of grass and grass silage. When using the IPCC Tier 2 model to investigate the same dietary strategy, a CH4 reduction of 0.3% was achieved (C. van Middelaar, Animal Production Systems Group, Wageningen University & Research, Wageningen, the Netherlands, unpublished data). This shows the importance of combining feed intake with diet composition in predictive models for CH4.
      A financial reward or penalty may be an incentive for livestock farmers to apply GHG reduction technologies or management interventions. To implement such financial measures, it is necessary to monitor emissions at the farm level (
      • Wirsenius S.
      • Berndes G.
      • Azar C.
      How much land is needed for global food production under scenarios of dietary changes and livestock productivity increases in 2030?.
      ). Emissions of CH4 from the digestive tract of ruminants are correlated with feed intake but can differ considerably between individual animals, even when feed composition and other factors are similar. For instance, for cattle consuming the same feed, emissions can vary by a factor of up to 2 (
      • Lassey K.R.
      Livestock methane emission: From the individual grazing animal through national inventories to the global methane cycle.
      ). Therefore, to accurately monitor farm-level emissions, rumen CH4 from a representative sample of the animals would have to be measured regularly. This is currently not possible in most cases, which is one of the reasons why, for instance, agricultural emissions were not included in the now-abrogated carbon tax scheme in Australia. The development of easy-to-measure and accurate proxies for CH4 would provide workable estimates of ruminant CH4 emissions at the individual animal level and help establish credible financial incentives to reduce dairy cattle GHG emissions.

      Applications of Proxies for Methane to Dairy Cattle Breeding

      Breeding objectives can sometimes be broadly defined or be difficult to measure directly on the large scale and as routinely as a breeding program requires. Examples include disease resistance, animal robustness/resilience, and fertility/reproductive performance. In such circumstances, indirect but correlated traits, which are well defined, readily available, and easy to measure, can be used as breeding criteria to approximate the breeding objective.
      Minimizing the environmental impact and maximizing the metabolic efficiency of animals are 2 broad breeding objectives of current relevance in dairy cattle breeding. Methane emissions have been shown to be related to both objectives, but their routine measurement is difficult and expensive on an individual animal basis and on a larger scale. Instead, proxies for CH4 can be a valuable asset as indirect traits to be used in breeding for lower environmental impact or increased cow metabolic efficiency. Many of the proxies described in this review would provide breeders with excellent material (i.e., many standardized and repeatable phenotypic records) to work on selection of animals for novel traits or objectives. An indirect way to reduce CH4 emissions is to improve the productivity and efficiency of the dairy herd by selective breeding; for example, for milk yield, longevity, or calving interval (
      • Bell M.J.
      • Wall E.
      • Russell G.
      • Simm G.
      • Stott A.W.
      The effect of improving cow productivity, fertility, and longevity on the global warming potential of dairy systems.
      ). Improvements of a trait, such as milk yield or longevity, however, can affect whole-farm management, including feeding strategy and purchases of inputs, such as concentrate and fertilizer. Evaluating the effect of a genetic improvement, therefore, requires modeling the whole farm.
      • van Middelaar C.E.
      • Dijkstra J.
      • Berentsen P.B.M.
      • De Boer I.J.M.
      Cost-effectiveness of feeding strategies to reduce greenhouse gas emissions from dairy farming.
      showed that in the current situation of maximizing income, the relative value of genetic traits to reduce GHG emissions along the dairy chain (the GHG value) of milk yield is higher than that of longevity. Thus, current efforts and objectives in breeding may already reduce GHG emissions per unit of milk. When the objective is to minimize GHG emissions (rather than to maximize income), the full potential of these traits is about doubled, indicating the greater progress that can be made by direct selection for reduced GHG emissions (
      • van Middelaar C.E.
      • Dijkstra J.
      • Berentsen P.B.M.
      • De Boer I.J.M.
      Cost-effectiveness of feeding strategies to reduce greenhouse gas emissions from dairy farming.
      ).

      Building an Index for Methane

      Sometimes a single indicator trait is used as an indirect criterion for the breeding objective. This is the case for SCC, which is used to reflect indirectly the health status of the udder and, with a bigger jump, to loosely approximate mastitis. More often, though, multiple indirect traits are used to obtain a good approximation of the breeding objective. These multiple sources of information can be combined into an index for the breeding objective using selection index theory (e.g.,
      • Simm G.
      ). An illustration is provided by cow fertility: cow fertility is a complex breeding objective that can be expressed, for instance, as conception rate. Measuring conception rate on a large scale and continuous basis is, however, expensive; instead, correlated indirect traits such as calving interval, angularity, and milk yield can be used to construct a selection index for fertility (e.g.,
      • Biffani S.
      • Marusi M.
      • Biscarini F.
      • Canavesi F.
      Developing a genetic evaluation for fertility using angularity and milk yield as correlated traits.
      ).
      Methane emissions provide another example of a phenotype that is difficult to measure individually on a large scale, and for which proxies can be assembled into an indirect index for CH4. The goal of selection index theory is to estimate the genetic component of the breeding objective (i.e., its breeding value) by assembling indirect traits into a weighted linear combination. Besides large-scale reliable records on the proxies, important building blocks of an indirect index are their heritabilities and the phenotypic and genetic correlations among proxies and between the proxies and the breeding objective (in this case, methane production/intensity/yield). These are used to compute weights by maximizing the expected correlation between proxies and CH4. For some of the proxies, heritability and correlations with CH4 output are known; for example,
      • Vanrobays M.-L.
      • Bastin C.
      • Vandenplas J.
      • Hammami H.
      • Soyeurt H.
      • Vanlierde A.
      • Dehareng F.
      • Froidmont E.
      • Gengler N.
      Changes throughout lactation in phenotypic and genetic correlations between methane emissions and milk fatty acid contents predicted from milk mid-infrared spectra.
      estimated heritability of 0.25 for CH4 production (g/d) and in the range from 0.17 to 0.42 for different classes of milk FA; phenotypic and genetic correlations between MeP and milk FA varied between −0.03 and 0.16, and between −0.02 and 0.32 (C18:0), respectively. For most proxies, though, this information is still lacking or very preliminary. However, unknown correlations between variables may be derived from existing ones (
      • Olkin I.
      Range restrictions for product-moment correlation matrices.
      ); knowing the correlation between X and Y (rxy), and that between X and Z (rxz), the acceptable range of the correlation between Y and Z (ryz) falls within the following inequality:
      rxy×rxz(1rxy2)(1rxz2)ryzrxy×rxz+(1rxy2)(1rxz2).


      For instance, the genetic correlation between MeI and milk yield estimated by
      • Dehareng F.
      • Delfosse C.
      • Froidmont E.
      • Soyeurt H.
      • Martin C.
      • Gengler N.
      • Vanlierde A.
      • Dardenne P.
      Potential use of milk mid-infrared spectra to predict individual methane emission of dairy cows.
      was −0.45, and the correlation between milk yield and protein percentage was −0.54 (
      • Miglior F.
      • Sewalem A.
      • Jamrozik J.
      • Bohmanova J.
      • Lefebvre D.M.
      • Moore R.K.
      Genetic analysis of milk urea nitrogen and lactose and their relationships with other production traits in Canadian Holstein cattle.
      ). This would give a genetic correlation between MeI and protein percentage in the range [−0.5, 0.9], with likelier values for positive correlations. The most probable value in the given range could then be estimated (from the prior distribution of the missing correlation and the joint likelihood of the 2 known correlations given the values in the range).

      Scaling Up

      The technological revolution in livestock farming is generating large amounts of data (
      • Rutten C.J.
      • Velthuis A.G.
      • Steeneveld W.
      • Hogeveen H.
      Invited review: Sensors to support health management on dairy farms.
      ;
      • John A.J.
      • Clark C.E.
      • Freeman M.J.
      • Kerrisk K.L.
      • Garcia S.C.
      • Halachmi I.
      Review: Milking robot utilization, a successful precision livestock farming evolution.
      ). This also applies to some of the proxies described in this review, such as the continuous flow of data from automated milk recording systems (AMS) or from rumen sensors or pedometers. Advanced laboratory equipment, too, such as mid- or near-infrared analyzers, contribute to the amount of data. Such enormous data sets pose challenges for storage, processing, and analysis, thereby requiring a scaling-up of the data analysis systems used in breeding programs [e.g., using frameworks such as Apache Spark (
      • Apache Spark
      Lightning-fast cluster computing.
      ) and TensorFlow (
      • TensorFlow
      TensorFlow is an Open Source Software Library for Machine Intelligence.
      ]. Not all proxies, however, are amenable to measurement on a large scale and on a routine basis (see Table 1). An important question to ask, therefore, is whether the relevant proxies should be measured only once in a lifetime on the whole population or multiple times on a large part of—but not all—the population. This would guide the choice of proxies to be used for the construction of the CH4 index. Additionally, genomic selection opens up the possibility of measuring phenotypes only in the nucleus or reference population, allowing for in-depth and continuous phenotyping without the practical limitations of collecting phenotypes on the larger commercial population.

      Understanding Strengths, Limitations, and Potential Risks of Selecting for Methane

      Methane emission is an emerging trait that could be included in a breeding objective to breed for cows that keep producing milk but do so in an efficient (reduced feed intake) and environmentally friendly manner. If we regard efficiency and environmental impact to be the goal, this is clearly a broad goal that cannot be easily measured on individual cows. Methane emissions, feed intake, and milk yield can thus be viewed as breeding criteria related to environmental impact (the first criterion) and production efficiency (the latter two). Additionally, the 3 criteria are mutually correlated. The associations among these breeding criteria and with the breeding goal are all relevant for the construction of the selection index for the improvement of the breeding goal, in a way similar to the index for CH4 described earlier. However, the relationships with the breeding goal (“environmental impact and production efficiency”) and the weights of the breeding criteria are estimated through economic models or by simulating scenarios of genetic progress.
      When including traits in the overall selection index or breeding program for a breed, it is important to be aware of potential unexpected consequences. For example: are there traits for which we do not want to select (against or in favor) but that are correlated with the breeding goals and would therefore be passively dragged by selection? A known illustration in dairy breeding is the somewhat inverse relation between milk yield, on one hand, and milk quality (e.g., fat and protein content) and animal functionality (e.g., fertility) on the other. A careful construction of the overall selection index and its implementation in the breeding program is therefore needed.

      A Final Note on Combinations of Proxies

      Combining proxies is a very powerful tool that can lead to highly accurate predictions of CH4 in dairy cattle. However, it is important to emphasize that predicting the CH4 phenotype and predicting the genetic or breeding value for CH4 output are different things. The phenotype can be predicted with any appropriate statistical or machine learning method, possibly with very high accuracy. This can be useful for management purposes. However, the proxies combined in the predictive model may have different genetic background and variance, which would make it impossible to use the predicted CH4 phenotype directly in the estimation of (genomic)EBV. Under such circumstances, the use of a selection index approach would be preferable.

      PROXIES: FUTURE DEVELOPMENTS AND PERSPECTIVES

      In the last few years, efforts have been made to develop direct, reliable, and low-cost measures of CH4 emissions on an individual-animal basis. However, progress has not been as fast as desired, mainly because direct measurement of CH4 on an individual-animal basis is still difficult and expensive. This has stimulated the interest to look for proxies of CH4 output in dairy cattle.
      Apart from management and nutrition, animal breeding could play a significant role in reducing the carbon footprint of dairy production systems (
      • Hristov A.N.
      • Ott T.
      • Tricarico J.
      • Rotz A.
      • Waghorn G.
      • Adesogan A.
      • Dijkstra J.
      • Montes F.
      • Oh J.
      • Kebreab E.
      • Oosting S.J.
      • Gerber P.J.
      • Henderson B.
      • Makkar H.P.S.
      • Firkins J.L.
      Special topics - Mitigation of methane and nitrous oxide emissions from animal operations: III. A review of animal management mitigation options.
      ;
      • 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.
      ;
      • Pickering N.K.
      • Oddy V.H.
      • Basarab J.A.
      • Cammack K.
      • Hayes B.J.
      • Hegarty R.S.
      • McEwan J.C.
      • Miller S.
      • Pinares C.
      • de Haas Y.
      Invited review: Genetic possibilities to reduce enteric methane emissions from ruminants.
      ). It is now possible to use genomic information to estimate genomic EBV for CH4 in the context of modern breeding schemes (
      • Meuwissen T.
      • Hayes B.
      • Goddard M.
      Accelerating improvement of livestock with genomic selection.
      ;
      • Hayes B.J.
      • Lewin H.A.
      • Goddard M.E.
      The future of livestock breeding: genomic selection for efficiency, reduced emissions intensity, and adaptation.
      ). However, this is only possible if large throughputs of CH4-related phenotypes are available.
      • Calus M.P.L.
      • De Haas Y.
      • Pszczola M.
      • Veerkamp R.F.
      Predicted accuracy of and response to genomic selection for new traits in dairy cattle.
      indicated that for genomic EBV to be implemented, a reference population of several thousand genotyped animals with CH4 phenotype measurements is needed to provide the initial estimates of the contribution of each genomic region to the expression of the phenotype under investigation. Genomic selection is the latest technology that opens the possibility of efficiently breeding for hard-to-measure and expensive traits, and CH4 from cattle belongs in this category. Success in this respect will ultimately depend, at least partly, on our ability to develop and identify proxies that are highly correlated with CH4, are relatively inexpensive, are not challenging logistically, and that can be measured on individual animals on a large scale.
      There is currently limited consensus on which phenotype to use to lower the carbon footprint of milk production through genetic selection. This could be MeP, MeI, or MeY. The direct goal would be CH4 production; the relationship with milk production or feed intake could be accounted for by including these in the final selection index or scheme. However, it might be more effective or accurate to directly use milk production–corrected or feed intake–corrected CH4 (e.g., CH4 intensity or yield) as the breeding goal. Choosing the breeding goal is important in determining which combination of information sources (traits, relatives) should be used to build a selection index for CH4. Traits in the breeding goal and in the selection index can potentially be different: the breeding goal traits are those we want to influence genetically (i.e., carbon footprint of milk production), whereas the selection index traits are those we are actually measuring (i.e., proxies).
      The analysis of proxies in terms of their attributes (Table 1) shows that proxies based on samples from the rumen or related to rumen sources are poor to moderately accurate predictors of CH4. In addition, these proxies are too costly and difficult for routine on-farm implementation. On the other hand, proxies related to BW, milk yield, and composition (e.g., milk FA) are moderately to highly accurate predictors of CH4 and are relatively simple, inexpensive, and easier to implement in practice. In particular, milk MIR and the prediction of CH4 based on milk MIR along with other covariates such as lactation stage is a promising alternative; that is; more accurate, cheaper, and more easily implemented in routine milk analysis at no extra cost. Based on proven chemometric methods that have been extensively used to develop quantitative predictive models for many novel traits (
      • Gengler N.
      • Soyeurt H.
      • Dehareng F.
      • Bastin C.
      • Colinet F.
      • Hammami H.
      • Vanrobays M.-L.
      • Lainé A.
      • Vanderick S.
      • Grelet C.
      • Vanlierde A.
      • Froidmont E.
      • Dardenne P.
      Capitalizing on fine milk composition for breeding and management of dairy cows.
      ), extending current milk MIR-based predictions beyond the addition of lactation stage (
      • Vanlierde A.
      • Vanrobays M.L.
      • Dehareng F.
      • Froidmont E.
      • Soyeurt H.
      • McParland S.
      • Lewis E.
      • Deighton M.H.
      • Grandl F.
      • Kreuzer M.
      • Grendler B.
      • Dardenne P.
      • Gengler N.
      Hot topic: Innovative lactation-stage-dependent prediction of methane emissions from milk mid-infrared spectra.
      ) toward the use of milk yield, maintenance-related traits such as BW, estimated or measured DMI, and other novel traits is relatively straightforward. As long as these sources of information are available together with MIR data, they can be easily integrated. Therefore, in the future, advances in infrared, photoacoustic, and related technologies will push the boundaries, particularly in focusing on developments of fast and portable technologies. Such developments will lead to better proxies for CH4 that will enable a sizable throughput of CH4 phenotypes in dairy cows.
      In the future, more emphasis should be directed into developments in genomics and omics tools and particularly the way that these tools can be used to develop proxies for CH4 that have potential to increase the throughput of CH4 phenotypes. This is a requisite for accurate estimation of EBV and for developing sound animal breeding and selection strategies. The next-generation technology—omics—may become a future application for the detection of proxies present in various ruminant body fluids. Efforts should therefore be made to explore the possibilities wherein developments in the fields of proteomics and metabolomics could play a role in accurate prediction of CH4 and development of rapid assays for CH4 output.
      • Antunes-Fernandes E.C.
      • van Gastelen S.
      • Dijkstra J.
      • Hettinga K.A.
      • Vervoort J.
      Milk metabolome relates enteric methane emission to milk synthesis and energy metabolism pathways.