Fuel conserving (and using) production functions
This article compares eight production/cost functions used or potentially useful for exploring how energy efficiency gains affect energy consumption. We show the practitioner's choice of function can inadvertently pre-determine results, and make recommendations as to which functions are flexible enough to prevent this. We also show pre-selected factor substitution elasticities can similarly pre-determine results. To aid the comparison we decompose the energy consumption "rebound" effect into intensity and output/income effects, which also delivers insight into the mechanisms of rebound. We conclude by recommending practitioners restrict themselves to either the Gallant (Fourier) or the Generalized Leontief/Symmetric Generalized Barnett cost functions as being sufficiently "rebound flexible." The Translog cost function may be suitable given certain conditions and a particular form of the CES (Solow) function is a possible, but problematic, candidate. Along the way, the article provides a general methodology for similarly examining any arbitrarily-defined constant returns to scale production or cost function.
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- A. Greening, Lorna & Greene, David L. & Difiglio, Carmen, 2000. "Energy efficiency and consumption -- the rebound effect -- a survey," Energy Policy, Elsevier, vol. 28(6-7), pages 389-401, June.
- William W. Hogan & Dale W. Jorgenson, 1991. "Productivity Trends and the Cost of Reducing CO2 Emissions," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 67-86.
- Thompson, Henry, 2006. "The applied theory of energy substitution in production," Energy Economics, Elsevier, vol. 28(4), pages 410-425, July.
- Gallant, A. Ronald, 1982. "Unbiased determination of production technologies," Journal of Econometrics, Elsevier, vol. 20(2), pages 285-323, November.
- Revankar, Nagesh S, 1971. "A Class of Variable Elasticity of Substitution Production Functions," Econometrica, Econometric Society, vol. 39(1), pages 61-71, January.
- Appelbaum, Elie, 1978. "Testing neoclassical production theory," Journal of Econometrics, Elsevier, vol. 7(1), pages 87-102, February.
- J. Daniel Khazzoom, 1980. "Economic Implications of Mandated Efficiency in Standards for Household Appliances," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 21-40.
- Solveig Glomsrød & Wei Taoyuan, 2003.
"Coal cleaning: A viable strategy for reduced carbon emissions and improved environment in China?,"
356, Research Department of Statistics Norway.
- Glomsrod, Solveig & Taoyuan, Wei, 2005. "Coal cleaning: a viable strategy for reduced carbon emissions and improved environment in China?," Energy Policy, Elsevier, vol. 33(4), pages 525-542, March.
- Brookes, Len, 1990. "The greenhouse effect: the fallacies in the energy efficiency solution," Energy Policy, Elsevier, vol. 18(2), pages 199-201, March.
- J. Daniel Khazzoom, 1989. "Energy Savings from More Efficient Appliances: A Rejoinder," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 157-166.
- Roy, Joyashree & Sanstad, Alan H. & Sathaye, Jayant A. & Khaddaria, Raman, 2006. "Substitution and price elasticity estimates using inter-country pooled data in a translog cost model," Energy Economics, Elsevier, vol. 28(5-6), pages 706-719, November.
- Ryan, David L. & Wales, Terence J., 2000. "Imposing local concavity in the translog and generalized Leontief cost functions," Economics Letters, Elsevier, vol. 67(3), pages 253-260, June.
- Brannlund, Runar & Ghalwash, Tarek & Nordstrom, Jonas, 2007.
"Increased energy efficiency and the rebound effect: Effects on consumption and emissions,"
Elsevier, vol. 29(1), pages 1-17, January.
- Brännlund, Runar & Ghalwash, Tarek & Nordström, Jonas, 2004. "Increased Energy Efficiency and the Rebound Effect: Effects on consumption and emissions," Umeå Economic Studies 642, Umeå University, Department of Economics.
- Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
- Sam H. Schurr, 1982. "Energy Efficiency and Productive Efficiency: Some Thoughts Based on American Experience," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 3-14.
- Richard B. Howarth, 1997. "Energy Efficiency And Economic Growth," Contemporary Economic Policy, Western Economic Association International, vol. 15(4), pages 1-9, October.
- McFadden, Daniel, 1978. "The General Linear Profit Function," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 5 McMaster University Archive for the History of Economic Thought.
- Saunders, Harry D., 2000. "A view from the macro side: rebound, backfire, and Khazzoom-Brookes," Energy Policy, Elsevier, vol. 28(6-7), pages 439-449, June.
- Koetse, Mark J. & de Groot, Henri L.F. & Florax, Raymond J.G.M., 2008. "Capital-energy substitution and shifts in factor demand: A meta-analysis," Energy Economics, Elsevier, vol. 30(5), pages 2236-2251, September.
- Berkhout, Peter H. G. & Muskens, Jos C. & W. Velthuijsen, Jan, 2000. "Defining the rebound effect," Energy Policy, Elsevier, vol. 28(6-7), pages 425-432, June.
- Grubb, M. J., 1990. "Communication Energy efficiency and economic fallacies," Energy Policy, Elsevier, vol. 18(8), pages 783-785, October.
- W. Erwin Diewert & T.J. Wales, 1989.
"Flexible Functional Forms and Global Curvature Conditions,"
NBER Technical Working Papers
0040, National Bureau of Economic Research, Inc.
- Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
- Schipper, Lee & Grubb, Michael, 2000. "On the rebound? Feedback between energy intensities and energy uses in IEA countries," Energy Policy, Elsevier, vol. 28(6-7), pages 367-388, June.
- Brookes, Leonard, 2000. "Energy efficiency fallacies revisited," Energy Policy, Elsevier, vol. 28(6-7), pages 355-366, June.
- J. Daniel Khazzoom, 1987. "Energy Saving Resulting from the Adoption of More Efficient Appliances," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 85-89.
- Grubb, Michael, 1992. "Reply to Brookes," Energy Policy, Elsevier, vol. 20(5), pages 392-393, May.
- Schipper, Lee & Meyers, Steve & Ketoff, Andrea N., 1986. "Energy use in the service sector : An international perspective," Energy Policy, Elsevier, vol. 14(3), pages 201-218, June.
- Hanley, Nick D. & McGregor, Peter G. & Swales, J. Kim & Turner, Karen, 2006. "The impact of a stimulus to energy efficiency on the economy and the environment: A regional computable general equilibrium analysis," Renewable Energy, Elsevier, vol. 31(2), pages 161-171.
- Dufournaud, Christian M. & Quinn, John T. & Harrington, Joseph J., 1994. "An Applied General Equilibrium (AGE) analysis of a policy designed to reduce the household consumption of wood in the Sudan," Resource and Energy Economics, Elsevier, vol. 16(1), pages 67-90, March.
- Alan S. Manne & Richard G. Richels, 1990. "CO2 Emission Limits: An Economic Cost Analysis for the USA," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 51-74.
- Grepperud, Sverre & Rasmussen, Ingeborg, 2004. "A general equilibrium assessment of rebound effects," Energy Economics, Elsevier, vol. 26(2), pages 261-282, March.
- Saunders, Harry D., 2000. "Does predicted rebound depend on distinguishing between energy and energy services?," Energy Policy, Elsevier, vol. 28(6-7), pages 497-500, June.
- Brookes, L. G., 1992. "Energy efficiency and economic fallacies: a reply," Energy Policy, Elsevier, vol. 20(5), pages 390-392, May.
- 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.
- Saunders Harry D, 2005. "A Calculator for Energy Consumption Changes Arising from New Technologies," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 5(1), pages 1-35, September.
- Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
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