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A theoretical economic model of the demand for irrigation water

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  • Xu, Qin
  • Fox, Glenn
  • McKenney, Dan
  • Parkin, Gary

Abstract

Projected changes in global climate might make irrigation a more attractive option for farmers in historically rain-fed agricultural regions. If irrigation water becomes an economic input in field crop production in this type of region, this would give rise to a derived demand for irrigation water by farmers. Many existing models of irrigation water use are based on estimated crop requirements but are not necessarily consistent with an economic approach to modeling the derived demand for an input. The purpose of this paper is to develop an economic model of the demand for irrigation water treating irrigation as a damage control input. The production economics of damage control inputs has been applied in pest management in crop production and was suggested as an approach to modeling the demand for irrigation water by Fox and Weersink (1995) but, to date, this extension has not been undertaken. Our model uses a two-input approach with both a von Liebig and a quadratic functional form of the relationship between inputs and yield. We treat the damage agent, water deficit, and the control agent, irrigation water, as perfect substitutes. As a result, the control function is linear. Compared with a water requirements approach, sometimes called an engineering method by economists, our economic approach has the potential to increase net benefits to farmers and to encourage more efficient water use.

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  • Xu, Qin & Fox, Glenn & McKenney, Dan & Parkin, Gary, 2019. "A theoretical economic model of the demand for irrigation water," Agricultural Water Management, Elsevier, vol. 225(C).
    • Handle: RePEc:eee:agiwat:v:225:y:2019:i:c:s0378377418310382
    DOI: 10.1016/j.agwat.2019.105763
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    References listed on IDEAS

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    1. David J. Pannell, 1995. "Optimal Herbicide Strategies for Weed Control under Risk Aversion," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 17(3), pages 337-350.
    2. Banerjee, Swagata (Ban) & Obembe, Babatunde A., 2013. "Econometric Forecasting of Irrigation Water Demand Conserves a Valuable Natural Resource," Journal of Agricultural and Applied Economics, Southern Agricultural Economics Association, vol. 45, pages 1-12, August.
    3. Glenn Fox & Alfons Weersink, 1995. "Damage Control and Increasing Returns," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(1), pages 33-39.
    4. Garth Holloway & Quirino Paris, 2002. "Production Efficiency in the von Liebig Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 84(5), pages 1271-1278.
    5. Jacques, David & Fox, Glenn & White, Peter, 2018. "Farm level economic analysis of subsurface drip irrigation in Ontario corn production," Agricultural Water Management, Elsevier, vol. 203(C), pages 333-343.
    6. Wu, Yiping & Chen, Ji, 2013. "Estimating irrigation water demand using an improved method and optimizing reservoir operation for water supply and hydropower generation: A case study of the Xinfengjiang reservoir in southern China," Agricultural Water Management, Elsevier, vol. 116(C), pages 110-121.
    7. Llewelyn, Richard V. & Featherstone, Allen M., 1997. "A comparison of crop production functions using simulated data for irrigated corn in western Kansas," Agricultural Systems, Elsevier, vol. 54(4), pages 521-538, August.
    8. Mehta, Vishal K. & Haden, Van R. & Joyce, Brian A. & Purkey, David R. & Jackson, Louise E., 2013. "Irrigation demand and supply, given projections of climate and land-use change, in Yolo County, California," Agricultural Water Management, Elsevier, vol. 117(C), pages 70-82.
    9. Banerjee, Swagata “Ban” & Obembe, Babatunde A., 2013. "Econometric Forecasting of Irrigation Water Demand Conserves a Valuable Natural Resource," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 45(3), pages 557-568, August.
    10. Jesse Tack & Ardian Harri & Keith Coble, 2012. "More than Mean Effects: Modeling the Effect of Climate on the Higher Order Moments of Crop Yields," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(5), pages 1037-1054.
    11. Amir, I. & Fisher, F. M., 1999. "Analyzing agricultural demand for water with an optimizing model," Agricultural Systems, Elsevier, vol. 61(1), pages 45-56, July.
    12. Bruce A. Babcock & Erik Lichtenberg & David Zilberman, 1992. "Impact of Damage Control and Quality of Output: Estimating Pest Control Effectiveness," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 74(1), pages 163-172.
    13. Singh, Kuntal & McClean, Colin J. & Büker, Patrick & Hartley, Sue E. & Hill, Jane K., 2017. "Mapping regional risks from climate change for rainfed rice cultivation in India," Agricultural Systems, Elsevier, vol. 156(C), pages 76-84.
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