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Estimating US Crop Supply Model Elasticities Using PMP and Bayesian Analysis

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  • Hudak, Michael

Abstract

This paper examines an innovative and practical way to model the supply of agricultural crops. This will be done by extending the technique developed by Howitt (1995), Positive Mathematical Programming (PMP), using Bayesian estimation. A key problem in the use of the PMP model is the relative difficulty of finding calibrating parameters such that the first and second order conditions are satisfied; with the added difficulty that many of the conditions needed to be satisfied are not exactly known. Thus the use of Bayesian analysis is a useful tool to try and determine these parameters. By employing a Markov chain Monte Carlo (MCMC) algorithm, specifically a Metropolis-Hasting Algorithm, a posterior distribution for the calibrating parameters can be found such that the resulting supply model will not only reproduce an optimum close to observed acreages, but also produce reasonable elasticities due to the prior information. The value of this style of estimation for a crop supply model lies in the limited amount of data needed to estimate the model.

Suggested Citation

  • Hudak, Michael, 2015. "Estimating US Crop Supply Model Elasticities Using PMP and Bayesian Analysis," 2015 AAEA & WAEA Joint Annual Meeting, July 26-28, San Francisco, California 205279, Agricultural and Applied Economics Association.
    • Handle: RePEc:ags:aaea15:205279
    DOI: 10.22004/ag.econ.205279
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    References listed on IDEAS

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    1. Thomas Heckelei & Hendrik Wolff, 2003. "Estimation of constrained optimisation models for agricultural supply analysis based on generalised maximum entropy," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 30(1), pages 27-50, March.
    2. Pierre Mérel & Santiago Bucaram, 2010. "Exact calibration of programming models of agricultural supply against exogenous supply elasticities," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 37(3), pages 395-418, September.
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    Land Economics/Use; Production Economics;

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