Estimating Disaggregate Production Functions: An Application to Northern Mexico
This paper demonstrates a robust method for achieving disaggregation in the estimation of flexible-form farm-level multi-input production functions using minimally-specified data sets. Since our ultimate goal is to address important questions related to the distributional effects of policy changes, we place emphasis on the ability of the model to reproduce the characteristics of the existing production system and to predict the outcomes of these changes at a high level of disaggregation. Achieving this requires the use of farm-level models that are estimated across a wide spectrum of sizes and types, which is often difficult to do with traditional econometric methods, due to limitations of data. The approach to estimating flexible-form production functions used in this paper overcomes these limitations, and also avoids the problems that frequently hinder the application of budget-based representative farm models to these type of analyses namely, that of poor calibration to observed behavior. In our estimation procedure, we use a two-stage approach that first generates a set of observation-specific shadow values for incompletely priced inputs, such as irrigation water or family labor, which are used in the second stage, along with the nominal input prices, to produce estimates of crop-specific production functions using Generalized Maximum Entropy (GME) methods. These functions are able to capture the individual heterogeneity of the local production environment, while still allowing the production function to replicate the input usage and outputs produced in the sample data. Since we are able to generate demand, supply, and substitution elasticities, a wide range of policy responses can be modeled. Our paper demonstrates this methodology through an empirical application to Mexico, drawing from a small set of cross-section data collected in the northern Rio Bravo regions. The estimates show that there is considerable heterogeneity in the behavioral response of farmer households of different sizes, both in terms of the returns to scale, as well as in the elasticities of substitution and derived demands for water. Compared to the aggregate-level estimation, we obtain much more accurate and informative policy response behavior, when shocks are imposed on the model.
|Date of creation:||2006|
|Contact details of provider:|| Postal: 555 East Wells Street, Suite 1100, Milwaukee, Wisconsin 53202|
Phone: (414) 918-3190
Fax: (414) 276-3349
Web page: http://www.aaea.org
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Alig, Ralph J. & Adams, Darius M. & McCarl, Bruce A., 1998.
"Impacts Of Incorporating Land Exchanges Between Forestry And Agriculture In Sector Models,"
Journal of Agricultural and Applied Economics,
Southern Agricultural Economics Association, vol. 30(02), December.
- Alig, Ralph J. & Adams, Darius M. & McCarl, Bruce A., 1998. "Impacts of Incorporating Land Exchanges Between Forestry and Agriculture in Sector Models," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 30(02), pages 389-401, December.
- Lence, Sergio H. & Miller, Douglas, 1998.
"Recovering Output-Specific Inputs from Aggregate Input Data: A Generalized Cross Entropy Approach,"
Staff General Research Papers Archive
1305, Iowa State University, Department of Economics.
- Sergio H. Lence & Douglas J. Miller, 1998. "Recovering Output-Specific Inputs from Aggregate Input Data: A Generalized Cross-Entropy Approach," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(4), pages 852-867.
- Antle, John M. & Capalbo, Susan Marie, 2000.
"Econometric-Process Models For Integrated Assessment Of Agricultural Production Systems,"
Trade Research Center Research Discussion Papers
29234, Montana State University, Department of Agricultural Economics and Economics.
- John M. Antle & Susan M. Capalbo, 2001. "Econometric-Process Models for Integrated Assessment of Agricultural Production Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(2), pages 389-401.
- Thomas Heckelei & Hendrik Wolff, 2003. "Estimation of constrained optimisation models for agricultural supply analysis based on generalised maximum entropy," European Review of Agricultural Economics, Foundation for the European Review of Agricultural Economics, vol. 30(1), pages 27-50, March.
- Lence, Sergio H & Miller, Douglas J, 1998.
"Estimation of Multi-output Production Functions with Incomplete Data: A Generalised Maximum Entropy Approach,"
European Review of Agricultural Economics,
Foundation for the European Review of Agricultural Economics, vol. 25(2), pages 188-209.
- Miller, Douglas & Lence, Sergio H., 1998. "Estimation of Multi-Output Production Functions with Incomplete Data: A Generalized Maximum Entropy Approach," Staff General Research Papers Archive 1219, Iowa State University, Department of Economics.
- Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, October.
- H. Alan Love, 1999. "Conflicts between Theory and Practice in Production Economics," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(3), pages 696-702.
- Mendelsohn, Robert & Nordhaus, William D & Shaw, Daigee, 1994. "The Impact of Global Warming on Agriculture: A Ricardian Analysis," American Economic Review, American Economic Association, vol. 84(4), pages 753-771, September.
- Golan, Amos & Judge, George & Robinson, Sherman, 1994. "Recovering Information from Incomplete or Partial Multisectoral Economic Data," The Review of Economics and Statistics, MIT Press, vol. 76(3), pages 541-549, August.
- Golan, Amos & Judge, George & Perloff, Jeffrey M, 1996.
"Estimating the Size Distribution of Firms Using Government Summary Statistics,"
Journal of Industrial Economics,
Wiley Blackwell, vol. 44(1), pages 69-80, March.
- Golan, Amos & Judge, George G. & Perloff, Jeffrey M., 1995. "Estimating the size distribution of firms using government summary statistics," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt14b416tk, Department of Agricultural & Resource Economics, UC Berkeley.
- Just, Richard E & Antle, John M, 1990. "Interactions between Agricultural and Environmental Policies: A Conceptual Framework," American Economic Review, American Economic Association, vol. 80(2), pages 197-202, May.
- Richard E. Just & David Zilberman & Eithan Hochman, 1983. "Estimation of Multicrop Production Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(4), pages 770-780.
- Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, December.
- Golan, Amos & Judge, George G. & Miller, Douglas, 1996. "Maximum Entropy Econometrics," Staff General Research Papers Archive 1488, Iowa State University, Department of Economics.
- Paris, Quirino & Caputo, Michael R., 2001. "Sensitivity Of The Gme Estimates To Support Bounds," Working Papers 11966, University of California, Davis, Department of Agricultural and Resource Economics.
- Quirino Paris & Richard E. Howitt, 1998. "An Analysis of Ill-Posed Production Problems Using Maximum Entropy," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(1), pages 124-138.
When requesting a correction, please mention this item's handle: RePEc:ags:aaea06:21080. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (AgEcon Search)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.