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A Nonparametric Approach to the von Liebig-Paris Technology

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  • Robert G. Chambers
  • Erik Lichtenberg

Abstract

We develop the dual implications of the von Liebig-Paris nutrient-response technology and parametric and nonparametric tests for this technology. We discuss the nonparametric approach using two different representations corresponding to optimistic and pessimistic nonparametric approximations of the technology. Application of the nonparametric approach to two experimental data sets and to two data sets generated by Monte Carlo methods confirms the presence of yield plateaus, but provides mixed evidence regarding input nonsubstitution. The optimistic representation exhibits virtually no input substitution, while the pessimistic representation shows considerable substitutability. Copyright 1996, Oxford University Press.

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  • Robert G. Chambers & Erik Lichtenberg, 1996. "A Nonparametric Approach to the von Liebig-Paris Technology," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(2), pages 373-386.
    • Handle: RePEc:oup:ajagec:v:78:y:1996:i:2:p:373-386
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    1. Robert G. Chambers & Atakelty Hailu & John Quiggin, 2011. "Event‐specific data envelopment models and efficiency analysis," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 55(1), pages 90-106, January.
    2. Klaus Moeltner & A. Ford Ramsey & Clinton L. Neill, 2021. "Bayesian Kinked Regression with Unobserved Thresholds: An Application to the von Liebig Hypothesis," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(5), pages 1832-1856, October.
    3. Veronique Theriault & Melinda Smale & Hamza Haider, 2018. "Economic incentives to use fertilizer on maize under differing agro-ecological conditions in Burkina Faso," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 10(5), pages 1263-1277, October.
    4. Wossink, G. A. A. & Oude Lansink, A. G. J. M. & Struik, P. C., 2001. "Non-separability and heterogeneity in integrated agronomic-economic analysis of nonpoint-source pollution," Ecological Economics, Elsevier, vol. 38(3), pages 345-357, September.
    5. Flichman, Guillermo & Jacquet, Florence, 2003. "Le couplage des modèles agronomiques et économiques : intérêt pour l'analyse des politiques," Cahiers d'Economie et de Sociologie Rurales (CESR), Institut National de la Recherche Agronomique (INRA), vol. 67.
    6. Tembo, Gelson & Brorsen, B. Wade & Epplin, Francis M., 2003. "Linear Response Stochastic Plateau Functions," 2003 Annual Meeting, February 1-5, 2003, Mobile, Alabama 35217, Southern Agricultural Economics Association.
    7. William J. Burke & Thom. S. Jayne & J. Roy Black, 2017. "Factors explaining the low and variable profitability of fertilizer application to maize in Zambia," Agricultural Economics, International Association of Agricultural Economists, vol. 48(1), pages 115-126, January.
    8. Christiaans, Thomas & Eichner, Thomas & Pethig, Rudiger, 2007. "Optimal pest control in agriculture," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3965-3985, December.
    9. Eli Feinerman & Darrell J. Bosch & James W. Pease, 2004. "Manure Applications and Nutrient Standards," American Journal of Agricultural Economics, John Wiley & Sons, vol. 86(1), pages 14-25, February.
    10. Peter Berck & Jacqueline Geoghegan & Stephen Stohs, 2000. "A Strong Test of the von Liebig Hypothesis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(4), pages 948-955.
    11. Kaitibie, Simeon & Nganje, William E. & Brorsen, B. Wade & Epplin, Francis M., 2003. "Optimal Grazing Pressure Under Output Price And Production Uncertainty With Alternative Functional Forms," 2003 Annual meeting, July 27-30, Montreal, Canada 22020, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    12. David A. Hennessy, 2009. "Crop Yield Skewness Under Law of the Minimum Technology," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 91(1), pages 197-208.
    13. Lichtenberg, Erik, 2002. "Agriculture and the environment," Handbook of Agricultural Economics, in: B. L. Gardner & G. C. Rausser (ed.), Handbook of Agricultural Economics, edition 1, volume 2, chapter 23, pages 1249-1313, Elsevier.
    14. Xiaodong Du & David A. Hennessy & Cindy L. Yu, 2012. "Testing Day's Conjecture that More Nitrogen Decreases Crop Yield Skewness," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(1), pages 225-237.
    15. Biermacher, Jon T. & Epplin, Francis M. & Brorsen, B. Wade & Solie, John B. & Raun, Bill, 2006. "Precision Nitrogen Fertilization Technology with Micro Grids," 2006 Annual meeting, July 23-26, Long Beach, CA 21046, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    16. Roberts, David C. & Brorsen, B. Wade & Solie, John B. & Raun, William R., 2011. "The effect of parameter uncertainty on whole-field nitrogen recommendations from nitrogen-rich strips and ramped strips in winter wheat," Agricultural Systems, Elsevier, vol. 104(4), pages 307-314, April.
    17. Wossink, Ada & Denaux, Zulal Sogutlu, 2002. "Environmental Efficiency, Separability And Abatement Costs Of Non-Point Source Pollution," 2002 Annual meeting, July 28-31, Long Beach, CA 19884, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    18. Kamel Louhichi & Guillermo Flichman & Jean Boisson, 2010. "Bio-economic modelling of soil erosion externalities and policy options: a Tunisian case study," Journal of Bioeconomics, Springer, vol. 12(2), pages 145-167, July.
    19. Zhiying Xu & Zhengfei Guan & T.S. Jayne & Roy Black, 2009. "Factors influencing the profitability of fertilizer use on maize in Zambia," Agricultural Economics, International Association of Agricultural Economists, vol. 40(4), pages 437-446, July.
    20. Theriault, Veronique & Smale, Melinda & Haider, Hamza, "undated". "Maize Yield Response to Fertilizer under Differing Agro-Ecological Conditions in Burkina Faso," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 258492, Agricultural and Applied Economics Association.
    21. 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.
    22. Livanis, Grigorios T. & Salois, Matthew J. & Moss, Charles B., "undated". "A Nonparametric Kernel Representation of the Agricultural Production Function: Implications for Economic Measures of Technology," 83rd Annual Conference, March 30 - April 1, 2009, Dublin, Ireland 51063, Agricultural Economics Society.

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