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Optimal timing and rate of nitrogen fertilizer use: An integrated network technology approach

Author

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  • Tihomir Ancev
  • Moriah Bostian

Abstract

Both the rate and timing of crop fertilizer application play an important role in agricultural productivity. However, inefficient fertilizer use can significantly increase production costs, water pollution, and greenhouse gas emissions. To capture both the spatial heterogeneity and dynamic nature of this problem, we develop a multi‐stage network production model, which links the sequential stages of crop growth within the overall crop production process. We use this framework to estimate nitrogen fertilizer application inefficiency and to determine the optimal rate and timing of fertilizer application. We apply this framework to wheat production at the field scale, using an agronomic simulation model calibrated to experimental data from Australia. Our results indicate that it is optimal to reduce the overall fertilizer application rate and to move away from the current practice of front‐loading fertilizer in the initial stages of crop growth toward the intermediate stages. This can be achieved without compromising yields while also reducing nutrient losses.

Suggested Citation

  • Tihomir Ancev & Moriah Bostian, 2026. "Optimal timing and rate of nitrogen fertilizer use: An integrated network technology approach," American Journal of Agricultural Economics, John Wiley & Sons, vol. 108(3), pages 856-873, May.
  • Handle: RePEc:wly:ajagec:v:108:y:2026:i:3:p:856-873
    DOI: 10.1111/ajae.70011
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    References listed on IDEAS

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    1. Moriah Bostian & Rolf Färe & Shawna Grosskopf & Tommy Lundgren & William L. Weber, 2018. "Time substitution for environmental performance: The case of Swedish manufacturing," Empirical Economics, Springer, vol. 54(1), pages 129-152, February.
    2. Bradley L Barnhart & Moriah Bostian & Rolf Färe & Shawna Grosskopf & Sophia M Lochner, 2023. "A productivity indicator for adaptation to climate change," PLOS Climate, Public Library of Science, vol. 2(11), pages 1-26, November.
    3. Paulson, Nicholas D. & Babcock, Bruce A., 2010. "Readdressing the Fertilizer Problem," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 35(3), pages 1-17, December.
    4. Bruce A. Babcock, 1992. "The Effects of Uncertainty on Optimal Nitrogen Applications," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 14(2), pages 271-280.
    5. Ancev, Tihomir & Bostian, Moriah & Barnhart, Brad, 2023. "Productivity-Based Indicators for Nitrogen Use Efficiency," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 48(01), January.
    6. Robert G. Chambers & Simone Pieralli & Yu Sheng, 2020. "The Millennium Droughts and Australian Agricultural Productivity Performance: A Nonparametric Analysis," American Journal of Agricultural Economics, John Wiley & Sons, vol. 102(5), pages 1383-1403, October.
    7. Benjamin Hampf, 2014. "Separating environmental efficiency into production and abatement efficiency: a nonparametric model with application to US power plants," Journal of Productivity Analysis, Springer, vol. 41(3), pages 457-473, June.
    8. S Reinhard & G Thijssen, 2000. "Nitrogen efficiency of Dutch dairy farms: a shadow cost system approach," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 27(2), pages 167-186, June.
    9. Isik, Murat & Khanna, Madhu, 2002. "Variable-Rate Nitrogen Application Under Uncertainty: Implications For Profitability And Nitrogen Use," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 27(01), pages 1-16, July.
    10. Reinhard, Stijn & Knox Lovell, C. A. & Thijssen, Geert J., 2000. "Environmental efficiency with multiple environmentally detrimental variables; estimated with SFA and DEA," European Journal of Operational Research, Elsevier, vol. 121(2), pages 287-303, March.
    11. Prieto, Angel M. & Zofio, Jose L., 2007. "Network DEA efficiency in input-output models: With an application to OECD countries," European Journal of Operational Research, Elsevier, vol. 178(1), pages 292-304, April.
    12. Scarlett Wang & Frederic Ang & Alfons Oude Lansink, 2023. "Mitigating greenhouse gas emissions on Dutch dairy farms. An efficiency analysis incorporating the circularity principle," Agricultural Economics, International Association of Agricultural Economists, vol. 54(6), pages 819-837, November.
    13. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    14. Frederic Ang & Pieter Jan Kerstens, 2016. "To Mix or Specialise? A Coordination Productivity Indicator for English and Welsh farms," Journal of Agricultural Economics, Wiley Blackwell, vol. 67(3), pages 779-798, September.
    15. Xin Zhang & Eric A. Davidson & Denise L. Mauzerall & Timothy D. Searchinger & Patrice Dumas & Ye Shen, 2015. "Managing nitrogen for sustainable development," Nature, Nature, vol. 528(7580), pages 51-59, December.
    16. Siyuan Cai & Xu Zhao & Cameron M. Pittelkow & Mingsheng Fan & Xin Zhang & Xiaoyuan Yan, 2023. "Optimal nitrogen rate strategy for sustainable rice production in China," Nature, Nature, vol. 615(7950), pages 73-79, March.
    17. Bostian, Moriah & Färe, Rolf & Grosskopf, Shawna & Lundgren, Tommy, 2016. "Environmental investment and firm performance: A network approach," Energy Economics, Elsevier, vol. 57(C), pages 243-255.
    18. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    19. Dakpo, K Hervé & Lansink, Alfons Oude, 2019. "Dynamic pollution-adjusted inefficiency under the by-production of bad outputs," European Journal of Operational Research, Elsevier, vol. 276(1), pages 202-211.
    20. Stijn Reinhard & C.A. Knox Lovell & Geert Thijssen, 1999. "Econometric Estimation of Technical and Environmental Efficiency: An Application to Dutch Dairy Farms," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(1), pages 44-60.
    21. Eric Njuki & Boris E. Bravo-Ureta & Christopher J. O’Donnell, 2019. "Decomposing agricultural productivity growth using a random-parameters stochastic production frontier," Empirical Economics, Springer, vol. 57(3), pages 839-860, September.
    22. Eric Njuki & Boris E Bravo-Ureta & Víctor E Cabrera, 2020. "Corrigendum: Climatic effects and total factor productivity: econometric evidence for Wisconsin dairy farms," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 47(2), pages 848-848.
    23. De Laporte, Aaron & Banger, Kamaljit & Weersink, Alfons & Wagner-Riddle, Claudia & Grant, Brian & Smith, Ward, 2021. "Economic and environmental consequences of nitrogen application rates, timing and methods on corn in Ontario," Agricultural Systems, Elsevier, vol. 188(C).
    24. Tumusiime, Emmanuel & B. Wade, Brorsen & Mosali, Jagadeesh & Johnson, Jim & Locke, James & Biermacher, Jon T., 2011. "Determining Optimal Levels of Nitrogen Fertilizer Using Random Parameter Models," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 43(4), pages 541-552, November.
    25. Wei, Quanling & Zhang, Jianzhong & Zhang, Xiangsun, 2000. "An inverse DEA model for inputs/outputs estimate," European Journal of Operational Research, Elsevier, vol. 121(1), pages 151-163, February.
    26. Hampf, Benjamin, 2014. "Separating Environmental Efficiency into Production and Abatement Efficiency - A Nonparametric Model with Application to U.S. Power Plants," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 69997, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    27. Murty, Sushama & Robert Russell, R. & Levkoff, Steven B., 2012. "On modeling pollution-generating technologies," Journal of Environmental Economics and Management, Elsevier, vol. 64(1), pages 117-135.
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