Free Standard AU & NZ Shipping For All Book Orders Over $80!
Register      Login
Animal Production Science Animal Production Science Society
Food, fibre and pharmaceuticals from animals
RESEARCH ARTICLE

Predicting enteric methane emission in sheep using linear and non-linear statistical models from dietary variables

A. K. Patra A B , M. Lalhriatpuii A and B. C. Debnath A
+ Author Affiliations
- Author Affiliations

A Department of Animal Nutrition, West Bengal University of Animal and Fishery Sciences, 37 K. B. Sarani, Belgachia, Kolkata 700037, India.

B Corresponding author. Email: patra_amlan@yahoo.com

Animal Production Science 56(3) 574-584 https://doi.org/10.1071/AN15505
Submitted: 29 August 2015  Accepted: 15 November 2015   Published: 9 February 2016

Abstract

The objective of the present study was to develop linear and non-linear statistical models for prediction of enteric methane emission (EME) in sheep. A database from 80 publications, which included a total of 449 mean observations of EME measured on more than 1500 sheep, was constructed to develop prediction and evaluation of models of EME. Dietary nutrient composition (g/kg), nutrient or energy intake (kg/day or MJ/day) and digestibility (g/kg) of organic matter were used as predictors of EME (MJ/day). The dietary concentrations of neutral detergent fibre and crude protein, and feed intake, were 435 g/kg, 152 g/kg and 0.92 kg/day, respectively. The EME by sheep expressed as MJ/day and % of gross energy intake was 1.02 and 6.54, respectively. The simple linear equation that predicted EME with high precision and accuracy was EME = 0.208(±0.040) + 0.049(±0.0039) × gross energy intake (MJ/day), adjusted R2 = 0.86 with root mean-square prediction error of 22.7%, of which 93% was from random error and regression bias of 3.20%. Additions of dietary concentration of fibre and feeding level, and organic matter digestibility to the simple linear model improved the models. Among the non-linear equations developed, monomolecular model, i.e. EME = 5.699 (±1.94) – [5.699 (±1.94) – 0.133 (±0.047)] × exp[–0.021(±0.0071) × metabolisable energy intake (MJ/day)]; adjusted R2 = 0.90 and mean-square prediction error = 20.1%, with 96.3% random error, performed better than simple linear and other non-linear models. The equations developed in the present study will be useful for national methane inventory preparation, and for a better understanding of dietary factors influencing EME in sheep.

Additional keywords: extant model, model comparison, multiple-regression equation, prediction error.


References

Bibby J, Toutenburg H (1977) ‘Prediction and improved estimation in linear models.’ (John Wiley & Sons: London)

Blaxter KL, Clapperton JL (1965) Prediction of the amount of methane produced by ruminants. British Journal of Nutrition 19, 511–522.
Prediction of the amount of methane produced by ruminants.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaF28XitFKktg%3D%3D&md5=6cde6902b771bbb1af70db2dca0760aaCAS | 5852118PubMed |

Chatterjee S, Hadi AS, Price B (2000) ‘Regression analysis by example.’ 3rd edn. (John Wiley & Sons: New York)

Ellis JL, Kebreab E, Odongo NE, McBride BW, Okine EK, France J (2007) Prediction of methane production from dairy and beef cattle. Journal of Dairy Science 90, 3456–3466.
Prediction of methane production from dairy and beef cattle.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2sXntlCksLY%3D&md5=566e93a0ba92e8c0af29a08f3fa90fecCAS | 17582129PubMed |

Ellis JL, Kebreab E, Odongo NE, Beauchemin K, McGinn S, Nkrumah JD, Moore SS, Christopherson R, Murdoch GK, Mcbride BW, Okine EK, France J (2009) Modeling methane production from beef cattle using linear and nonlinear approaches. Journal of Animal Science 87, 1334–1345.
Modeling methane production from beef cattle using linear and nonlinear approaches.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1MXjsFKis7o%3D&md5=35dbad0d052f2cc6bc2800492c0667afCAS | 19098240PubMed |

Ellis JL, Bannink A, France J, Kebreab E, Dijkstra J (2010) Evaluation of enteric methane prediction equations for dairy cows used in whole farm models. Global Change Biology 16, 3246–3256.
Evaluation of enteric methane prediction equations for dairy cows used in whole farm models.Crossref | GoogleScholarGoogle Scholar |

FAO (2010) ‘Greenhouse gas emissions from the dairy sector.’ (Food and Agriculture Organization of the United Nations: Rome)

FAOSTAT (2014) ‘FAO statistical database.’ (Food and Agricultural Organization of the United Nations: Rome). Available at: http://faostat.fao.org/ [Verified 15 December 2014]

Feedipedia (2015) ‘Feedipedia: animal feed resources information system.’ Available at http://www.feedipedia.org/ [Verified 20 January 2015]

Grainger C, Beauchemin KA (2011) Can enteric methane emissions from ruminants be lowered without lowering their production? Animal Feed Science and Technology 166–167, 308–320.
Can enteric methane emissions from ruminants be lowered without lowering their production?Crossref | GoogleScholarGoogle Scholar |

Holter JB, Young AJ (1992) Methane production in dry and lactating Holstein cows. Journal of Dairy Science 75, 2165–2175.
Methane production in dry and lactating Holstein cows.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaK3s%2Fhslantg%3D%3D&md5=701a4926f9bd9c8ad7b7a73771bcb54fCAS | 1401368PubMed |

IPCC (2006) ‘IPCC guidelines for national greenhouse gas in-ventories.’ (IGES: Hayama, Kanagawa, Japan) Available at http://www.ipcc-nggip.iges.or.jp [Verified 30 November 2015]

Jentsch W, Chudy A, Beyer M (2003) ‘Rostock feed evaluation system.’ (Plexus Verlag: Frankfurt, Germany)

Kebreab E, Johnson KA, Archibeque SL, Pape D, Wirth T (2008) Model for estimating enteric methane emissions from United States dairy and feedlot cattle. Journal of Animal Science 86, 2738–2748.
Model for estimating enteric methane emissions from United States dairy and feedlot cattle.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXht1ams7jF&md5=7e15893db9765c0247760930429ae768CAS | 18539822PubMed |

Lin LIK (1989) A concordance correlation coefficient to evaluate reproducibility. Biometrics 45, 255–268.
A concordance correlation coefficient to evaluate reproducibility.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaL1M3kslKrtg%3D%3D&md5=6100493ec2dcf9a849539a4ef221b80fCAS |

Mills JAN, Kebreab E, Yates CW, Crompton LA, Cammell SB, Dhanoa MS, Agnew RE, France J (2003) Alternative approaches to predicting methane emissions from dairy cows. Journal of Animal Science 81, 3143–3150.

Moraes LE, Strathe AB, Fadel JG, Casper DP, Kebreab E (2014) Prediction of enteric methane emissions from cattle. Global Change Biology 20, 2140–2148.
Prediction of enteric methane emissions from cattle.Crossref | GoogleScholarGoogle Scholar | 24259373PubMed |

NRC (2007) ‘Nutrient requirements of small ruminants. Sheep, goats, cervids, and New World camelids.’ (National Academy Press: Washington, DC)

Okine EK, Mathison GW, Hardin RT (1989) Effects of changes in frequency of reticular contractions on fluid and particulate passage rates in cattle. Journal of Animal Science 67, 3388–3396.

Patra AK (2012) Estimation of methane and nitrous oxide emissions from Indian livestock. Journal of Environmental Monitoring 14, 2673–2684.
Estimation of methane and nitrous oxide emissions from Indian livestock.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC38XhsVWmt7bL&md5=0b47b77c7df45be01ae05c844e184c6fCAS | 22898933PubMed |

Patra AK (2013) The effect of dietary fats on methane emissions, and its other effects on digestibility, rumen fermentation and lactation performance in cattle: a meta-analysis. Livestock Science 155, 244–254.
The effect of dietary fats on methane emissions, and its other effects on digestibility, rumen fermentation and lactation performance in cattle: a meta-analysis.Crossref | GoogleScholarGoogle Scholar |

Patra AK (2014a) Trends and projected estimates of GHG emissions from Indian livestock in comparisons with GHG emissions from world and developing countries. Asian-Australasian Journal of Animal Sciences 27, 592–599.
Trends and projected estimates of GHG emissions from Indian livestock in comparisons with GHG emissions from world and developing countries.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC2cXns1Whsro%3D&md5=a8982f21e0c28774bb3199bd53916cedCAS | 25049993PubMed |

Patra AK (2014b) Prediction of enteric methane emission from buffaloes using statistical models. Agriculture, Ecosystems & Environment 195, 139–148.
Prediction of enteric methane emission from buffaloes using statistical models.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC2cXhsVyhsbrO&md5=85eb0eb25e525227e46adfc02b2e7116CAS |

Patra AK (2016) Prediction of enteric methane emission from cattle using linear and non-linear statistical models in tropical production systems. Mitigation and Adaptation Strategies for Global Change
Prediction of enteric methane emission from cattle using linear and non-linear statistical models in tropical production systems.Crossref | GoogleScholarGoogle Scholar |

Patra AK, Lalhriatpuii M (2016) Development of statistical models for prediction of enteric methane emission from goats using nutrient composition and intake variables. Agriculture, Ecosystems & Environment 215, 89–99.
Development of statistical models for prediction of enteric methane emission from goats using nutrient composition and intake variables.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC2MXhsFOkt7%2FM&md5=7c4a626a23bdda8d103915a27474a3ebCAS |

Patra AK, Yu Z (2013) Effects of coconut and fish oils on ruminal methanogenesis, fermentation, and abundance and diversity of microbial populations in vitro. Journal of Dairy Science 96, 1782–1792.
Effects of coconut and fish oils on ruminal methanogenesis, fermentation, and abundance and diversity of microbial populations in vitro.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3sXht1Oru7w%3D&md5=c780311e0319c4f3fd9431b806aca5acCAS | 23332846PubMed |

Pelchen A, Peters KJ (1998) Methane emissions from sheep. Small Ruminant Research 27, 137–150.
Methane emissions from sheep.Crossref | GoogleScholarGoogle Scholar |

Ramin M, Huhtanen P (2013) Development of equations for predicting methane emissions from ruminants. Journal of Dairy Science 96, 2476–2493.
Development of equations for predicting methane emissions from ruminants.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3sXitlemt7s%3D&md5=80e2f676e1278d10e26ca08df4003d02CAS | 23403199PubMed |

Russell JB, O’Connor JD, Fox DG, Van Soest PJ, Sniffen CJ (1992) A net carbohydrate and protein system for evaluating cattle diets: I. Ruminal fermentation. Journal of Animal Science 70, 3551–3561.

SAS (2001) ‘SAS user’s guide. Statistics.’ (SAS Institute Inc.: Cary, NC)

St-Pierre NR (2001) Invited review: integrating quantitative findings from multiple studies using mixed model methodology. Journal of Dairy Science 84, 741–755.
Invited review: integrating quantitative findings from multiple studies using mixed model methodology.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3MXjtFyks78%3D&md5=c0b9a283cab10036829138db86324c03CAS | 11352149PubMed |

St-Pierre NR (2003) Reassessment of biases in predicted nitrogen flows to the duodenum by NRC 2001. Journal of Dairy Science 86, 344–350.
Reassessment of biases in predicted nitrogen flows to the duodenum by NRC 2001.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3sXhtlCktrg%3D&md5=6f0c1977f0f847d06a34329b28166b69CAS | 12613877PubMed |

Steinfeld H, Gerber P, Wassenaar T, Castel V, Rosales M, De Haan C (2006) ‘Livestock’s long shadow: environmental issues and options.’ (Food and Agriculture Organisation of the United Nations: Rome)

Sveinbjornsson J, Huhtanen P, Uden P (2006) The Nordic dairy cow model, Karoline: development of volatile fatty acid submodel. In ‘Nutrient digestion and utilization in farm animals: modeling approaches’. (Eds E Kebreab, J Dijkstra, A Bannink, WJJ Gerrits, J France) pp. 1–14. (CABI: Wallingford, UK)

Theil H (1966) ‘Applied economic forecasting.’ (North-Holland Publishing Company: Amsterdam)

Wilkerson VA, Casper DP, Mertens DR (1995) The prediction of methane production of Holstein cows by several equations. Journal of Dairy Science 78, 2402–2414.
The prediction of methane production of Holstein cows by several equations.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK28XhtFOrtA%3D%3D&md5=7b9cdf71b76a519b1bb77222c7f9a563CAS | 8747332PubMed |

Yan T, Agnew RE, Gordon FJ, Porter MG (2000) Prediction of methane energy output in dairy and beef cattle offered grass silage-based diets. Livestock Production Science 64, 253–263.
Prediction of methane energy output in dairy and beef cattle offered grass silage-based diets.Crossref | GoogleScholarGoogle Scholar |

Yan T, Porter MG, Mayne CS (2009) Prediction of methane emission from beef cattle using data measured in indirect open-circuit respiration calorimeters. Animal 3, 1455–1462.
Prediction of methane emission from beef cattle using data measured in indirect open-circuit respiration calorimeters.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1MXhtlGnsb7N&md5=8d9e4c2a85f2939113a93bf87754e65eCAS | 22444941PubMed |