IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v130y2014icp793-798.html
   My bibliography  Save this article

The elasticity of substitution and the way of nesting CES production function with emphasis on energy input

Author

Listed:
  • Zha, Donglan
  • Zhou, Dequn

Abstract

This article proposes the way to choose the optimal bundle among inputs by combing the translog cost function and Constant-Elasticity-of-Substitution (CES) function. The translog cost function is applied to select the most appropriate nested structure by estimating elasticities of substitution between inputs. And then the CES function is used to get the elasiticities among inputs. It introduces the empirical simulation model for the Chinese industrial sectors focusing on how energy combines with non-energy inputs. Derived from the estimated elasticities of substitution, the results present that (capital-labor)-energy is the most appropriate way. And the two-level elasticity of (capital-labor) and energy is 0.9432.

Suggested Citation

  • Zha, Donglan & Zhou, Dequn, 2014. "The elasticity of substitution and the way of nesting CES production function with emphasis on energy input," Applied Energy, Elsevier, vol. 130(C), pages 793-798.
    • Handle: RePEc:eee:appene:v:130:y:2014:i:c:p:793-798
    DOI: 10.1016/j.apenergy.2014.01.093
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261914001342
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2014.01.093?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Valentina Bosetti & Carlo Carraro & Marzio Galeotti & Emanuele Massetti & Massimo Tavoni, 2006. "WITCH. A World Induced Technical Change Hybrid Model," Working Papers 2006_46, Department of Economics, University of Venice "Ca' Foscari".
    2. David Stern, 2011. "Elasticities of substitution and complementarity," Journal of Productivity Analysis, Springer, vol. 36(1), pages 79-89, August.
    3. Dominique van der Mensbrugghe, 1994. "GREEN - The Reference Manual," OECD Economics Department Working Papers 143, OECD Publishing.
    4. Jacoby, Henry D. & Reilly, John M. & McFarland, James R. & Paltsev, Sergey, 2006. "Technology and technical change in the MIT EPPA model," Energy Economics, Elsevier, vol. 28(5-6), pages 610-631, November.
    5. Manne, Alan & Mendelsohn, Robert & Richels, Richard, 1995. "MERGE : A model for evaluating regional and global effects of GHG reduction policies," Energy Policy, Elsevier, vol. 23(1), pages 17-34, January.
    6. Jaccard, Mark & Bataille, Chris, 2000. "Estimating future elasticities of substitution for the rebound debate," Energy Policy, Elsevier, vol. 28(6-7), pages 451-455, June.
    7. Smyth, Russell & Narayan, Paresh Kumar & Shi, Hongliang, 2011. "Substitution between energy and classical factor inputs in the Chinese steel sector," Applied Energy, Elsevier, vol. 88(1), pages 361-367, January.
    8. Jean-Marc Burniaux & John P. Martin & Giuseppe Nicoletti & Joaquim Oliveira Martins, 1992. "GREEN a Multi-Sector, Multi-Region General Equilibrium Model for Quantifying the Costs of Curbing CO2 Emissions: A Technical Manual," OECD Economics Department Working Papers 116, OECD Publishing.
    9. Azusa OKAGAWA & Kanemi BAN, 2008. "Estimation of substitution elasticities for CGE models," Discussion Papers in Economics and Business 08-16, Osaka University, Graduate School of Economics.
    10. Kemfert, Claudia & Welsch, Heinz, 2000. "Energy-Capital-Labor Substitution and the Economic Effects of CO2 Abatement: Evidence for Germany," Journal of Policy Modeling, Elsevier, vol. 22(6), pages 641-660, November.
    11. Frondel, Manuel & Schmidt, Christoph M., 2004. "Facing the truth about separability: nothing works without energy," Ecological Economics, Elsevier, vol. 51(3-4), pages 217-223, December.
    12. Edenhofer, Ottmar & Bauer, Nico & Kriegler, Elmar, 2005. "The impact of technological change on climate protection and welfare: Insights from the model MIND," Ecological Economics, Elsevier, vol. 54(2-3), pages 277-292, August.
    13. Frondel, Manuel, 2011. "Modeling Energy and Non-energy Substitution – A Survey of Elasticities," Ruhr Economic Papers 256, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    14. Thompson, Peter & Taylor, Timothy G, 1995. "The Capital-Energy Substitutability Debate: A New Look," The Review of Economics and Statistics, MIT Press, vol. 77(3), pages 565-569, August.
    15. van der Werf, Edwin, 2008. "Production functions for climate policy modeling: An empirical analysis," Energy Economics, Elsevier, vol. 30(6), pages 2964-2979, November.
    16. Burniaux, Jean-Marc & Truong Truong, 2002. "GTAP-E: An Energy-Environmental Version of the GTAP Model," GTAP Technical Papers 923, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University.
    17. Mark D. Partridge & Dan S. Rickman, 1998. "Regional Computable General Equilibrium Modeling: A Survey and Critical Appraisal," International Regional Science Review, , vol. 21(3), pages 205-248, December.
    18. Burniaux, Jean-March & Truong, Truong P., 2002. "Gtap-E: An Energy-Environmental Version Of The Gtap Model," Technical Papers 28705, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    19. Medina, J. & Vega-Cervera, J. A., 2001. "Energy and the non-energy inputs substitution: evidence for Italy, Portugal and Spain," Applied Energy, Elsevier, vol. 68(2), pages 203-214, February.
    20. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-268, August.
    21. Thompson, Henry, 2006. "The applied theory of energy substitution in production," Energy Economics, Elsevier, vol. 28(4), pages 410-425, July.
    22. 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.
    23. Raymond W. Goldsmith, 1951. "A Perpetual Inventory of National Wealth," NBER Chapters, in: Studies in Income and Wealth, Volume 14, pages 5-73, National Bureau of Economic Research, Inc.
    24. Gerlagh, Reyer & van der Zwaan, Bob, 2003. "Gross world product and consumption in a global warming model with endogenous technological change," Resource and Energy Economics, Elsevier, vol. 25(1), pages 35-57, February.
    25. Valentina Bosetti, Carlo Carraro, Marzio Galeotti, Emanuele Massetti, Massimo Tavoni, 2006. "A World induced Technical Change Hybrid Model," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 13-38.
    26. Arnberg, Soren & Bjorner, Thomas Bue, 2007. "Substitution between energy, capital and labour within industrial companies: A micro panel data analysis," Resource and Energy Economics, Elsevier, vol. 29(2), pages 122-136, May.
    27. Lecca, Patrizio & Swales, Kim & Turner, Karen, 2011. "An investigation of issues relating to where energy should enter the production function," Economic Modelling, Elsevier, vol. 28(6), pages 2832-2841.
    28. Beckman, Jayson & Hertel, Thomas, 2009. "Why Previous Estimates of the Cost of Climate Mitigation are Likely Too Low," GTAP Working Papers 2954, Center for Global Trade Analysis, Department of Agricultural Economics, Purdue University.
    29. Alan Manne & Richard Richels, 1992. "Buying Greenhouse Insurance: The Economic Costs of CO2 Emission Limits," MIT Press Books, The MIT Press, edition 1, volume 1, number 026213280x, December.
    30. Daniel S. Hamermesh, 1993. "Labor Demand and the Source of Adjustment Costs," NBER Working Papers 4394, National Bureau of Economic Research, Inc.
    31. Manuel Frondel & Christoph M. Schmidt, 2002. "The Capital-Energy Controversy: An Artifact of Cost Shares?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 53-79.
    32. Zhang, Shuwei & Bauer, Nico & Luderer, Gunnar & Kriegler, Elmar, 2014. "Role of technologies in energy-related CO2 mitigation in China within a climate-protection world: A scenarios analysis using REMIND," Applied Energy, Elsevier, vol. 115(C), pages 445-455.
    33. R. Robert Russell, 1975. "Functional Separability and Partial Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 79-85.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Steve Sorrell, 2014. "Energy Substitution, Technical Change and Rebound Effects," Energies, MDPI, vol. 7(5), pages 1-24, April.
    2. Zha, Donglan & Ding, Ning, 2015. "Threshold characteristic of energy efficiency on substitution between energy and non-energy factors," Economic Modelling, Elsevier, vol. 46(C), pages 180-187.
    3. Valeria Costantini & Francesco Crespi & Elena Paglialunga, 2019. "Capital–energy substitutability in manufacturing sectors: methodological and policy implications," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 9(2), pages 157-182, June.
    4. Paul E. Brockway & Matthew K. Heun & João Santos & John R. Barrett, 2017. "Energy-Extended CES Aggregate Production: Current Aspects of Their Specification and Econometric Estimation," Energies, MDPI, vol. 10(2), pages 1-23, February.
    5. Yazid Dissou & Lilia Karnizova & Qian Sun, 2015. "Industry-level Econometric Estimates of Energy-Capital-Labor Substitution with a Nested CES Production Function," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 43(1), pages 107-121, March.
    6. He, Yongda & Lin, Boqiang, 2019. "Heterogeneity and asymmetric effects in energy resources allocation of the manufacturing sectors in China," Energy, Elsevier, vol. 170(C), pages 1019-1035.
    7. Zha, Donglan & Ding, Ning, 2014. "Elasticities of substitution between energy and non-energy inputs in China power sector," Economic Modelling, Elsevier, vol. 38(C), pages 564-571.
    8. Lagomarsino, Elena, 2020. "Estimating elasticities of substitution with nested CES production functions: Where do we stand?," Energy Economics, Elsevier, vol. 88(C).
    9. Valeria Costantini & Elena Paglialunga, 2014. "Elasticity of substitution in capital-energy relationships: how central is a sector-based panel estimation approach?," SEEDS Working Papers 1314, SEEDS, Sustainability Environmental Economics and Dynamics Studies, revised May 2014.
    10. Carraro, Carlo & De Cian, Enrica & Nicita, Lea & Massetti, Emanuele & Verdolini, Elena, 2010. "Environmental Policy and Technical Change: A Survey," International Review of Environmental and Resource Economics, now publishers, vol. 4(2), pages 163-219, October.
    11. Dixon, Peter B. & Rimmer, Maureen T., 2009. "Simulating the U.S. recession," Conference papers 331862, Purdue University, Center for Global Trade Analysis, Global Trade Analysis Project.
    12. Feng, Shenghao & Zhang, Keyu, 2018. "Fuel-factor nesting structures in CGE models of China," Energy Economics, Elsevier, vol. 75(C), pages 274-284.
    13. Matthew K. Heun & João Santos & Paul E. Brockway & Randall Pruim & Tiago Domingos & Marco Sakai, 2017. "From Theory to Econometrics to Energy Policy: Cautionary Tales for Policymaking Using Aggregate Production Functions," Energies, MDPI, vol. 10(2), pages 1-44, February.
    14. Wei, Yi-Ming & Mi, Zhi-Fu & Huang, Zhimin, 2015. "Climate policy modeling: An online SCI-E and SSCI based literature review," Omega, Elsevier, vol. 57(PA), pages 70-84.
    15. Ciola, Emanuele & Turco, Enrico & Gurgone, Andrea & Bazzana, Davide & Vergalli, Sergio & Menoncin, Francesco, 2023. "Enter the MATRIX model:a Multi-Agent model for Transition Risks with application to energy shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    16. Beckman, Jayson & Hertel, Thomas & Tyner, Wallace, 2011. "Validating energy-oriented CGE models," Energy Economics, Elsevier, vol. 33(5), pages 799-806, September.
    17. CARRARO Carlo & MASSETTI Emanuele & NICITA Lea, 2010. "How Does Climate Policy Affect Technical Change? ?An Analysis of the Direction and Pace of Technical Progress in a Climate-Economy Model (Fondazione Eni Enrico Mattei)," ESRI Discussion paper series 229, Economic and Social Research Institute (ESRI).
    18. van der Werf, Edwin, 2008. "Production functions for climate policy modeling: An empirical analysis," Energy Economics, Elsevier, vol. 30(6), pages 2964-2979, November.
    19. Bardazzi, Rossella & Oropallo, Filippo & Pazienza, Maria Grazia, 2015. "Do manufacturing firms react to energy prices? Evidence from Italy," Energy Economics, Elsevier, vol. 49(C), pages 168-181.
    20. Cao, Jing & Ho, Mun S. & Ma, Rong, 2020. "Analyzing carbon pricing policies using a general equilibrium model with production parameters estimated using firm data," Energy Economics, Elsevier, vol. 92(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:130:y:2014:i:c:p:793-798. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.