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An Evaluation of the Maxwell-Boltzmann Entropy Model of the Appalachian Steam Coal Market

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  • Chin W. Yang

    (Clarion University of Pennsylvania)

Abstract

Since the early 1950's, there has been much effort expended in modeling interregional commodity flows. Among them are linear programming transportation models (e.g., Henderson); the Enke-Samuelson-TakayamaJudge models; the Leontief-Strout gravity models; and other econometric models. However, the entropy model has so far eluded description especially when implemented empirically. In this paper, we implement the MaxwellBoltzmann entropy maximization model to the Appalachian steam coal market. We then compare the solution of optimum coal shipments with that of the corresponding linear programming transportation and spatial equilibrium models. It is found that (1) the performance of the Maxwell- Boltzmann entropy model is comparable to that of the spatial equilibrium model and (2) the entropy has outperformed the linear programming transportation model in its simplest form in terms of predicting actual coal shipments.

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  • Chin W. Yang, 1990. "An Evaluation of the Maxwell-Boltzmann Entropy Model of the Appalachian Steam Coal Market," The Review of Regional Studies, Southern Regional Science Association, vol. 20(1), pages 21-29, Winter.
    • Handle: RePEc:rre:publsh:v20:y:1990:i:1:p:21-29
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    References listed on IDEAS

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    1. Michael Kennedy, 1974. "An Economic Model of the World Oil Market," Bell Journal of Economics, The RAND Corporation, vol. 5(2), pages 540-577, Autumn.
    2. Caulton L. Irwin & Chin W. Yang, 1982. "Iteration and Sensitivity for a Spatial Equilibrium Problem with Linear Supply and Demand Functions," Operations Research, INFORMS, vol. 30(2), pages 319-335, April.
    3. Labys, Walter C. & Yang, Chin W., 1980. "A quadratic programming model of the Appalachian steam coal market," Energy Economics, Elsevier, vol. 2(2), pages 86-95, April.
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    Cited by:

    1. Yang, Chin W. & Hwang, Ming J. & Sohng, Soong N., 2002. "The Cournot competition in the spatial equilibrium model," Energy Economics, Elsevier, vol. 24(2), pages 139-154, March.

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