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The extraction of natural resources: The role of thermodynamic efficiency

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  • Roma, Antonio
  • Pirino, Davide

Abstract

The modelling of production in microeconomics has been the subject of heated debate. The controversial issues include the substitutability between production inputs, the role of time and the economic consequences of irreversibility in the production process. A case in point is the use of Cobb-Douglas type production functions, which completely ignore the physical process underlying the production of a good. We examine these issues in the context of the production of a basic commodity (such as copper or aluminium). We model the extraction and the refinement of a valuable substance which is mixed with waste material, in a way which is fully consistent with the physical constraints of the process. The resulting analytical description of production unambiguously reveals that perfect substitutability between production inputs fails if a corrected thermodynamic approach is used. We analyze the equilibrium pricing of a commodity extracted in an irreversible way. We force consumers to purchase goods using energy as the means of payment and force the firm to account in terms of energy. The resulting market provides the firm with a form of reversibility of its use of energy. Under an energy numeraire, energy resources will naturally be used in a more parsimonious way.

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  • Roma, Antonio & Pirino, Davide, 2009. "The extraction of natural resources: The role of thermodynamic efficiency," Ecological Economics, Elsevier, vol. 68(10), pages 2594-2606, August.
    • Handle: RePEc:eee:ecolec:v:68:y:2009:i:10:p:2594-2606
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    as
    1. Kummel, Reiner, 1989. "Energy as a factor of production and entropy as a pollution indicator in macroeconomic modelling," Ecological Economics, Elsevier, vol. 1(2), pages 161-180, May.
    2. Khalil, Elias L., 1990. "Entropy law and exhaustion of natural resources Is Nicholas Georgescu-Roegen's paradigm defensible?," Ecological Economics, Elsevier, vol. 2(2), pages 163-178, June.
    3. Kaldellis, J. K. & Vlachou, D. S. & Korbakis, G., 2005. "Techno-economic evaluation of small hydro power plants in Greece: a complete sensitivity analysis," Energy Policy, Elsevier, vol. 33(15), pages 1969-1985, October.
    4. Gonzalo Cortazar & Eduardo S. Schwartz & Marcelo Salinas, 1998. "Evaluating Environmental Investments: A Real Options Approach," Management Science, INFORMS, vol. 44(8), pages 1059-1070, August.
    5. Bodo, Giorgio & Signorini, Luigi Federico, 1987. "Short-term forecasting of the industrial production index," International Journal of Forecasting, Elsevier, vol. 3(2), pages 245-259.
    6. Robert M. Solow, 1974. "The Economics of Resources or the Resources of Economics," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 12, pages 257-276, Palgrave Macmillan.
    7. Krysiak, Frank C. & Krysiak, Daniela, 2003. "Production, consumption, and general equilibrium with physical constraints," Journal of Environmental Economics and Management, Elsevier, vol. 46(3), pages 513-538, November.
    8. Ayres, Robert U. & Warr, Benjamin, 2005. "Accounting for growth: the role of physical work," Structural Change and Economic Dynamics, Elsevier, vol. 16(2), pages 181-209, June.
    9. Warr, Benjamin & Schandl, Heinz & Ayres, Robert U., 2008. "Long term trends in resource exergy consumption and useful work supplies in the UK, 1900 to 2000," Ecological Economics, Elsevier, vol. 68(1-2), pages 126-140, December.
    10. Berry, R. Stephen & Salamon, Peter & Heal, Geoffrey, 1978. "On a relation between economic and thermodynamic optima," Resources and Energy, Elsevier, vol. 1(2), pages 125-137, October.
    11. Hartwick, John M, 1978. "Exploitation of Many Deposits of an Exhaustible Resource," Econometrica, Econometric Society, vol. 46(1), pages 201-217, January.
    12. Ruth, Matthias, 1995. "Thermodynamic constraints on optimal depletion of copper and aluminum in the United States: a dynamic model of substitution and technical change," Ecological Economics, Elsevier, vol. 15(3), pages 197-213, December.
    13. Ayres, Robert U & Ayres, Leslie W & Warr, Benjamin, 2003. "Exergy, power and work in the US economy, 1900–1998," Energy, Elsevier, vol. 28(3), pages 219-273.
    14. Ethridge, Don, 1973. "The Inclusion of Wastes in the Theory of the Firm," Journal of Political Economy, University of Chicago Press, vol. 81(6), pages 1430-1441, Nov.-Dec..
    15. Ayres, Robert U & Kneese, Allen V, 1969. "Production , Consumption, and Externalities," American Economic Review, American Economic Association, vol. 59(3), pages 282-297, June.
    16. Young, Jeffrey T., 1991. "Is the entropy law relevant to the economics of natural resource scarcity?," Journal of Environmental Economics and Management, Elsevier, vol. 21(2), pages 169-179, September.
    17. Islam, Saiful, 1985. "Effect of an essential input on isoquants and substitution elasticities," Energy Economics, Elsevier, vol. 7(3), pages 194-196, July.
    18. Sav, G Thomas, 1984. "Micro Engineering Foundations of Energy-Capital Complementarity: Solar Domestic Water Heaters," The Review of Economics and Statistics, MIT Press, vol. 66(2), pages 334-338, May.
    19. Lozada, Gabriel A., 1991. "A defense of Nicholas Georgescu-Roegen's paradigm," Ecological Economics, Elsevier, vol. 3(2), pages 157-160, July.
    20. Daly, Herman E., 1992. "Is the entropy law relevant to the economics of natural resource scarcity?-- yes, of course it is!," Journal of Environmental Economics and Management, Elsevier, vol. 23(1), pages 91-95, July.
    21. Smith, Eric & Foley, Duncan K., 2008. "Classical thermodynamics and economic general equilibrium theory," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 7-65, January.
    22. Roma, Antonio, 2006. "Energy, money, and pollution," Ecological Economics, Elsevier, vol. 56(4), pages 534-545, April.
    23. Cleveland, Cutler J. & Ruth, Matthias, 1997. "When, where, and by how much do biophysical limits constrain the economic process?: A survey of Nicholas Georgescu-Roegen's contribution to ecological economics," Ecological Economics, Elsevier, vol. 22(3), pages 203-223, September.
    24. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-384, March.
    25. Kummel, Reiner & Schussler, Uwe, 1991. "Heat equivalents of noxious substances: a pollution indicator for environmental accounting," Ecological Economics, Elsevier, vol. 3(2), pages 139-156, July.
    26. Solow, Robert M., 1997. "Georgescu-Roegen versus Solow-Stiglitz," Ecological Economics, Elsevier, vol. 22(3), pages 267-268, September.
    27. Antonio Roma, 2000. "Financial and Thermodynamic Equilibrium," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 29(3), pages 341-354, November.
    28. Khalil, Elias L., 1991. "Entropy law and Nicholas Georgescu-Roegen's paradigm: A reply," Ecological Economics, Elsevier, vol. 3(2), pages 161-163, July.
    29. Stiglitz, Joseph E, 1976. "Monopoly and the Rate of Extraction of Exhaustible Resources," American Economic Review, American Economic Association, vol. 66(4), pages 655-661, September.
    30. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    31. Ayres, Robert U., 2008. "Sustainability economics: Where do we stand?," Ecological Economics, Elsevier, vol. 67(2), pages 281-310, September.
    32. Daly, Herman E., 1997. "Georgescu-Roegen versus Solow/Stiglitz," Ecological Economics, Elsevier, vol. 22(3), pages 261-266, September.
    33. Ayres, Robert U. & Miller, Steven M., 1980. "The role of technological change," Journal of Environmental Economics and Management, Elsevier, vol. 7(4), pages 353-371, December.
    34. Cleveland, Cutler J., 2005. "Net energy from the extraction of oil and gas in the United States," Energy, Elsevier, vol. 30(5), pages 769-782.
    35. Krysiak, Frank C., 2006. "Entropy, limits to growth, and the prospects for weak sustainability," Ecological Economics, Elsevier, vol. 58(1), pages 182-191, June.
    36. Harold Hotelling, 1931. "The Economics of Exhaustible Resources," Journal of Political Economy, University of Chicago Press, vol. 39(2), pages 137-137.
    37. Tsoutsos, Theocharis & Gekas, Vasilis & Marketaki, Katerina, 2003. "Technical and economical evaluation of solar thermal power generation," Renewable Energy, Elsevier, vol. 28(6), pages 873-886.
    38. Anatoly M. Tsirlin & Vladimir A. Kazakov, 2004. "Optimal Processes in Irreversible Thermodynamics and Microeconomics," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 2(1), pages 29-42.
    39. Gately, Mark, 2007. "The EROI of U.S. offshore energy extraction: A net energy analysis of the Gulf of Mexico," Ecological Economics, Elsevier, vol. 63(2-3), pages 355-364, August.
    40. Donald A. Walker (ed.), 2000. "Equilibrium," Books, Edward Elgar Publishing, volume 0, number 1585.
    41. Cleveland, Cutler J., 1992. "Energy quality and energy surplus in the extraction of fossil fuels in the U.S," Ecological Economics, Elsevier, vol. 6(2), pages 139-162, October.
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