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Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Model Development and Evaluation

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  • Addisu H. Addis

    (Animal Science, School of Agriculture and Environment, Massey University, Palmerston North 4442, New Zealand
    Applied Biology, College of Natural and Computational Sciences, University of Gondar, Gondar 196, Ethiopia)

  • Hugh T. Blair

    (Animal Science, School of Agriculture and Environment, Massey University, Palmerston North 4442, New Zealand)

  • Paul R. Kenyon

    (Animal Science, School of Agriculture and Environment, Massey University, Palmerston North 4442, New Zealand)

  • Stephen T. Morris

    (Animal Science, School of Agriculture and Environment, Massey University, Palmerston North 4442, New Zealand)

  • Nicola M. Schreurs

    (Animal Science, School of Agriculture and Environment, Massey University, Palmerston North 4442, New Zealand)

Abstract

A linear programming optimization tool is useful to assist farmers with optimizing resource allocation and profitability. This study developed a linear programming profit optimization model with a silage supplement scenario. Utilizable kilograms of pasture dry matter (kg DM) of the total pasture mass was derived using minimum and maximum pasture mass available for beef cattle and sheep and herbage utilization percentage. Daily metabolizable energy (MJ ME/head) requirements for the various activities of beef cattle and sheep were estimated and then converted to kg DM/head on a bi-monthly basis. Linear programming was employed to identify the optimum carrying capacity of beef cattle and sheep, the most profitable slaughtering ages of beef cattle, the number of prime lambs (sold to meat processing plants), and sold store lambs (sold to other farmers for finishing). Gross farm revenue (GFR) and farm earnings before tax (EBT) per hectare and per stock unit, as well as total farm expenditure (TFE), were calculated and compared to the average value of Taranaki-Manawatu North Island intensive finishing sheep and beef Class 5 farming using Beef and Lamb New Zealand (B+LNZ) data. The modeled farm ran 46% more stock units (a stock unit consumed 550 kg DM/year) than the average value of Class 5 farms. At this stocking rate, 83% of the total feed supplied for each species was consumed, and pasture supplied 95% and 98% of beef cattle and sheep feed demands, respectively. More than 70% of beef cattle were finished before the second winter. This enabled the optimized system to return 53% and 188% higher GFR/ha and EBT/ha, respectively, compared to the average values for a Class 5 farm. This paper did not address risk, such as pasture growth and price fluctuations. To understand this, several additional scenarios could be examined using this model. Further studies to include alternative herbages and crops for feed supply during summer and winter are required to expand the applicability of the model for different sheep and beef cattle farm systems.

Suggested Citation

  • Addisu H. Addis & Hugh T. Blair & Paul R. Kenyon & Stephen T. Morris & Nicola M. Schreurs, 2021. "Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Model Development and Evaluation," Agriculture, MDPI, vol. 11(6), pages 1-16, June.
    • Handle: RePEc:gam:jagris:v:11:y:2021:i:6:p:524-:d:569068
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    1. John Rendel & Alec Mackay & Paul Smale & Andrew Manderson & David Scobie, 2020. "Optimisation of the Resource of Land-Based Livestock Systems to Advance Sustainable Agriculture: A Farm-Level Analysis," Agriculture, MDPI, vol. 10(8), pages 1-23, August.
    2. David J. Pannell, 1996. "Lessons from a Decade of Whole-Farm Modeling in Western Australia," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 18(3), pages 373-383.
    3. Ridler, B.J. & Anderson, W.J. & Fraser, P., 2010. "Milk, money, muck and metrics: inefficient resource allocation by New Zealand dairy farmers," 2010 Conference, August 26-27, 2010, Nelson, New Zealand 96492, New Zealand Agricultural and Resource Economics Society.
    4. Frederick V. Waugh, 1951. "The Minimum-Cost Dairy FeedAn Application of "Linear Programming"," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 33(3), pages 299-310.
    5. Pannell, David J. & Kingwell, Ross S. & Schilizzi, Steven, 1996. "Debugging Mathematical Programming Models: Principles and Practical Strategies," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 64(01), pages 1-15, April.
    6. Graeme J. Doole, 2015. "Improving the profitability of Waikato dairy farms: Insights from a whole-farm optimisation model," New Zealand Economic Papers, Taylor & Francis Journals, vol. 49(1), pages 44-61, April.
    7. Doole, Graeme J. & Romera, Alvaro J., 2013. "Detailed description of grazing systems using nonlinear optimisation methods: A model of a pasture-based New Zealand dairy farm," Agricultural Systems, Elsevier, vol. 122(C), pages 33-41.
    8. Ashfield, A. & Crosson, P. & Wallace, M., 2013. "Simulation modelling of temperate grassland based dairy calf to beef production systems," Agricultural Systems, Elsevier, vol. 115(C), pages 41-50.
    9. Conway, A. G. & Killen, L., 1987. "A linear programming model of grassland management," Agricultural Systems, Elsevier, vol. 25(1), pages 51-71.
    10. Daniel Fylstra & Leon Lasdon & John Watson & Allan Waren, 1998. "Design and Use of the Microsoft Excel Solver," Interfaces, INFORMS, vol. 28(5), pages 29-55, October.
    11. Kingwell, R. S. & Schilizzi, S. G. M., 1994. "Dryland pasture improvement given climatic risk," Agricultural Systems, Elsevier, vol. 45(2), pages 175-190.
    12. Kamilaris, C. & Dewhurst, R.J. & Vosough Ahmadi, B. & Crosson, P. & Alexander, P., 2020. "A bio-economic model for cost analysis of alternative management strategies in beef finishing systems," Agricultural Systems, Elsevier, vol. 180(C).
    13. J E Annetts & E Audsley, 2002. "Multiple objective linear programming for environmental farm planning," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(9), pages 933-943, September.
    14. Crosson, P. & O'Kiely, P. & O'Mara, F.P. & Wallace, M., 2006. "The development of a mathematical model to investigate Irish beef production systems," Agricultural Systems, Elsevier, vol. 89(2-3), pages 349-370, September.
    15. Farrell, L.J. & Kenyon, P.R. & Tozer, P.R. & Ramilan, T. & Cranston, L.M., 2020. "Quantifying sheep enterprise profitability with varying flock replacement rates, lambing rates, and breeding strategies in New Zealand," Agricultural Systems, Elsevier, vol. 184(C).
    16. Dean, G. W. & Carter, H. O. & Wagstaff, H. R. & Olayide, S. O. & Ronning, M. & Bath, D. L., 1972. "Production Functions and Linear Programming Models for Dairy Cattle Feeding," Monographs, University of California, Davis, Giannini Foundation, number 251915, December.
    17. Romera, Alvaro J. & Doole, Graeme J. & Beukes, Pierre C. & Mason, Norman & Mudge, Paul L., 2017. "The role and value of diverse sward mixtures in dairy farm systems of New Zealand: An exploratory assessment," Agricultural Systems, Elsevier, vol. 152(C), pages 18-26.
    18. Cros, M. J. & Duru, M. & Garcia, F. & Martin-Clouaire, R., 2004. "Simulating management strategies: the rotational grazing example," Agricultural Systems, Elsevier, vol. 80(1), pages 23-42, April.
    19. Notte, Gastón & Cancela, Héctor & Pedemonte, Martín & Chilibroste, Pablo & Rossing, Walter & Groot, Jeroen C.J., 2020. "A multi-objective optimization model for dairy feeding management," Agricultural Systems, Elsevier, vol. 183(C).
    20. Costa, Fernando Paim & Rehman, Tahir, 2005. "Unravelling the rationale of `overgrazing' and stocking rates in the beef production systems of Central Brazil using a bi-criteria compromise programming model," Agricultural Systems, Elsevier, vol. 83(3), pages 277-295, March.
    21. Lydia J. Farrell & Paul R. Kenyon & Stephen T. Morris & Peter R. Tozer, 2020. "The Impact of Hogget and Mature Flock Reproductive Success on Sheep Farm Productivity," Agriculture, MDPI, vol. 10(11), pages 1-15, November.
    22. Thamo, Tas & Addai, Donkor & Pannell, David J. & Robertson, Michael J. & Thomas, Dean T. & Young, John M., 2017. "Climate change impacts and farm-level adaptation: Economic analysis of a mixed cropping–livestock system," Agricultural Systems, Elsevier, vol. 150(C), pages 99-108.
    23. Farrell, L.J. & Tozer, P.R. & Kenyon, P.R. & Ramilan, T. & Cranston, L.M., 2019. "The effect of ewe wastage in New Zealand sheep and beef farms on flock productivity and farm profitability," Agricultural Systems, Elsevier, vol. 174(C), pages 125-132.
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    4. Addisu H. Addis & Hugh T. Blair & Paul R. Kenyon & Stephen T. Morris & Nicola M. Schreurs & Dorian J. Garrick, 2022. "Agent-Based Modeling to Improve Beef Production from Dairy Cattle: Model Description and Evaluation," Agriculture, MDPI, vol. 12(10), pages 1-10, October.
    5. Addisu H. Addis & Hugh T. Blair & Paul R. Kenyon & Stephen T. Morris & Nicola M. Schreurs, 2021. "Optimization of Profit for Pasture-Based Beef Cattle and Sheep Farming Using Linear Programming: Young Beef Cattle Production in New Zealand," Agriculture, MDPI, vol. 11(9), pages 1-14, September.
    6. Jandrić, Mersida & Vico, Grujica & Nedeljković,, 2024. "Optimization of Primary Milk Production in the Hilly Mountainous Regions of the Republic of Serbia," Western Balkan Journal of Agricultural Economics and Rural Development (WBJAERD), Institute of Agricultural Economics, vol. 6(1), June.

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