Estimating Site-Specific Nitrogen Crop Response Functions: A Conceptual Framework And Geostatistical Model
AbstractConfirming the precision agriculture hypothesis for variable rate nitrogen applications (VRA) is challenging. To confront this challenge, researchers have used increasingly sophisticated statistical models to estimate and compare site-specific crop response functions (SSCRFs). While progress has been made, it has been hampered by the lack of a conceptual framework to guide the development of appropriate statistical models. This paper provides such a framework and demonstrates its utility by developing a heteroscedastic, fixed and random effects, geostatistical model to test if VRA can increase nitrogen returns. The novelty of the model is the inclusion of site, spatial, treatment, and treatment strip heteroscedasticity and correlation. Applied to data collected in 1995 from two corn nitrogen response experiments in South Central Minnesota, results demonstrate the importance of including site, spatial, treatment, and treatment strip effects in the estimation of SSCRFs. Results also indicate a significant potential for VRA to increase nitrogen returns and that these potential returns increase as the area of the management unit decreases. At one location, there was greater than a 95% chance that VRA could have increased profitability if the cost of implementing VRA was less than 14.5 $ ha-1. At the other location, if implementation costs were less than 48.3 $ ha-1, there was greater than a 95% chance of increased profitability.
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Bibliographic InfoPaper provided by University of Minnesota, Department of Applied Economics in its series Staff Papers with number 14111.
Date of creation: 2004
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- Hurley, Terrance M. & Malzer, Gary L. & Kilian, Bernard, 2003. "Estimating Site-Specific Nitrogen Crop Response Functions: A Conceptual Framework And Geostatistical Model," 2003 Annual meeting, July 27-30, Montreal, Canada 21950, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
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- Bullock, David S. & Lowenberg-DeBoer, Jess & Swinton, Scott M., 2002. "Adding value to spatially managed inputs by understanding site-specific yield response," Agricultural Economics, Blackwell, vol. 27(3), pages 233-245, November.
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- Oishi, Kikuo & Hurley, Terrance M. & Malzer, Gary L., 2006. "Evidence of Temporal Variation in Site-Specific Crop Response to Fertilizer Inputs," 2006 Annual meeting, July 23-26, Long Beach, CA 21140, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
- Martin Bachmaier, 2009. "A confidence set for that x-coordinate where a quadratic regression model has a given gradient," Statistical Papers, Springer, vol. 50(3), pages 649-660, June.
- Lambert, Dayton M. & Lowenberg-DeBoer, James & Malzer, Gary L., 2004. "A Systems Approach For Evaluating On-Farm Site-Specific Management Trials: A Case Study With Variable Rate Manure And Crop Quality Response To Inputs," 2004 Annual meeting, August 1-4, Denver, CO 20091, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
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