A Nonparametric Kernel Representation of the Agricultural Production Function: Implications for Economic Measures of Technology
AbstractThe issue of production function estimation has received recent attention, particularly in agricultural economics with the advent of precision farming. Yet, the evidence to date is far from unanimous on the proper form of the production function. This paper reexamines the use of the primal production function framework using nonparametric regression techniques. Specifically, the paper demonstrates how a nonparametric regression based on a kernel density estimator can be used to estimate a production function using data on corn production from Illinois and Indiana. Nonparametric results are compared to common parametric specifications using the Nadaraya-Watson kernel regression estimator. The parametric and nonparametric forms are also compared in terms of describing the true technology of the firm by obtaining measures of the elasticity of scale and the marginal physical product through nonparametric estimation of the gradient of the production surface. Finally, the elasticities of substitution are compared between both parametric and nonparametric representations.
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Bibliographic InfoPaper provided by Agricultural Economics Society in its series 83rd Annual Conference, March 30-April 1, 2009, Dublin, Ireland with number 51063.
Date of creation: 01 Apr 2009
Date of revision:
nonparametric regression; nonparametric derivatives; Gaussian kernel; optimization techniques; production function; Production Economics; C14; C15; C16; C61; Q12;
Find related papers by JEL classification:
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets
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- HÄRDLE, Wolfgang, 1992.
"Applied nonparametric methods,"
CORE Discussion Papers
1992003, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Hardle, W., 1992. "Applied Nonparametric Methods," Discussion Paper 1992-6, Tilburg University, Center for Economic Research.
- Hardle, W., 1992. "Applied Nonparametric Methods," Papers 9206, Tilburg - Center for Economic Research.
- Wolfgang Hardle & Oliver Linton, 1994. "Applied Nonparametric Methods," Cowles Foundation Discussion Papers 1069, Cowles Foundation for Research in Economics, Yale University.
- Hardle, W., 1992. "Applied Nonparametric Methods," Papers 9204, Catholique de Louvain - Institut de statistique.
- Cooper, Joseph C., 1999.
"Nonparametric and Semi-Nonparametric Recreational Demand Analysis,"
24780, University Library of Munich, Germany.
- Joseph C. Cooper, 2000. "Nonparametric and Semi-Nonparametric Recreational Demand Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(2), pages 451-462.
- John DiNardo & Justin L. Tobias, 2001.
"Nonparametric Density and Regression Estimation,"
Journal of Economic Perspectives,
American Economic Association, vol. 15(4), pages 11-28, Fall.
- 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.
- Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June.
- Martin van Ittersum & Ada Wossink, 2006. "Integrating Agronomic Principles into Production Function Specification: A Dichotomy of Growth Inputs and Facilitating Inputs," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(1), pages 203-214.
- Mundlak, Yair, 1996. "Production Function Estimation: Reviving the Primal," Econometrica, Econometric Society, vol. 64(2), pages 431-38, March.
- 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.
- Berck, Peter & Geoghegan, Jacqueline & Stohs, Stephen, 1998. "A strong test of the von Liebig hypothesis," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt0b81x36x, Department of Agricultural & Resource Economics, UC Berkeley.
- Cheng Hsiao & Qi Li & Jeff Racine, 2006.
"A Consistent Model Specification Test with Mixed Discrete and Continuous Data,"
IEPR Working Papers
06.47, Institute of Economic Policy Research (IEPR).
- Hsiao, Cheng & Li, Qi & Racine, Jeffrey S., 2007. "A consistent model specification test with mixed discrete and continuous data," Journal of Econometrics, Elsevier, vol. 140(2), pages 802-826, October.
- Henderson, Daniel & Millimet, Daniel, 2005.
"Pollution Abatement Costs and Foreign Direct Investment Inflows to U.S. States: A Nonparametric Reassessment,"
Departmental Working Papers
0507, Southern Methodist University, Department of Economics.
- Daniel J. Henderson & Daniel L. Millimet, 2007. "Pollution Abatement Costs and Foreign Direct Investment Inflows to U.S. States: A Nonparametric Reassessment," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 178-183, February.
- Ullah, Aman, 1988. "Nonparametric Estimation and Hypothesis Testing in Econometric Models," Empirical Economics, Springer, vol. 13(3/4), pages 223-49.
- Alan P. Ker & Barry K. Goodwin, 2000. "Nonparametric Estimation of Crop Insurance Rates Revisited," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(2), pages 463-478.
- Babcock, Bruce A., 1992. "Effects of Uncertainty on Optimal Nitrogen Applications (The)," Staff General Research Papers 10588, Iowa State University, Department of Economics.
- Oliver LINTON, .
"Applied nonparametric methods,"
Statistic und Oekonometrie
9312, Humboldt Universitaet Berlin.
- Rilstone, Paul, 1991. "Nonparametric Hypothesis Testing with Parametric Rates of Convergence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(1), pages 209-27, February.
- Charles Moss & Troy Schmitz, 2006. "A semiparametric estimator of the Zellner production function for corn: fitting the univariate primal," Applied Economics Letters, Taylor and Francis Journals, vol. 13(13), pages 863-867.
- Daniel J. Henderson & Subal C. Kumbhakar, 2006. "Public and Private Capital Productivity Puzzle: A Nonparametric Approach," Southern Economic Journal, Southern Economic Association, vol. 73(1), pages 219â232, July.
- Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355, May.
- A. Yatchew, 2000. "Scale economies in electricity distribution: a semiparametric analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(2), pages 187-210.
- 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.
- Tomasz Gerard Czekaj & Arne Henningsen, 2012. "Comparing Parametric and Nonparametric Regression Methods for Panel Data: the Optimal Size of Polish Crop Farms," IFRO Working Paper 2012/12, University of Copenhagen, Department of Food and Resource Economics.
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