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Energy-Extended CES Aggregate Production: Current Aspects of Their Specification and Econometric Estimation

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  • Paul E. Brockway

    (Sustainability Research Institute, School of Earth and Environment, University of Leeds, Leeds LS2 9JT, UK)

  • Matthew K. Heun

    (Engineering Department, Calvin College, Grand Rapids, MI 49546, USA)

  • João Santos

    (MARETEC—Marine, Environment, and Technology Center, Environment and Energy Scientific Area, Department of Mechanical Engineering, Instituto Superior Técnico (IST), University of Lisbon, Avenida Rovisco Pais, 1 1049-001 Lisbon, Portugal)

  • John R. Barrett

    (Sustainability Research Institute, School of Earth and Environment, University of Leeds, Leeds LS2 9JT, UK)

Abstract

Capital–labour–energy Constant Elasticity of Substitution (CES) production functions and their estimated parameters now form a key part of energy–economy models which inform energy and emissions policy. However, the collation and guidance as to the specification and estimation choices involved with such energy-extended CES functions is disparate. This risks poorly specified and estimated CES functions, with knock-on implications for downstream energy–economic models and climate policy. In response, as a first step, this paper assembles in one place the major considerations involved in the empirical estimation of these CES functions. Discussions of the choices and their implications lead to recommendations for CES empiricists. The extensive bibliography allows those interested to dig deeper into any aspect of the CES parameter estimation process.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jeners:v:10:y:2017:i:2:p:202-:d:89995
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    References listed on IDEAS

    as
    1. repec:bla:scandj:v:94:y:1992:i:0:p:s9-24 is not listed on IDEAS
    2. Pauw, Kalie, 2003. "Functional Forms Used in CGE Models: Modelling Production and Commodity Flows," Background Paper Series 15606, PROVIDE Project.
    3. Robert Inklaar, 2010. "The Sensitivity Of Capital Services Measurement: Measure All Assets And The Cost Of Capital," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(2), pages 389-412, June.
    4. Caselli, Francesco, 2005. "Accounting for Cross-Country Income Differences," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 9, pages 679-741, Elsevier.
    5. Edwin F. Ulveling & Lehman B. Fletcher, 1970. "A Cobb-Douglas Production Function with Variable Returns to Scale," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 52(2), pages 322-326.
    6. John Fernald & Brent Neiman, 2011. "Growth Accounting with Misallocation: Or, Doing Less with More in Singapore," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(2), pages 29-74, April.
    7. 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".
    8. Yingying Lu & David I. Stern, 2016. "Substitutability and the Cost of Climate Mitigation Policy," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 64(1), pages 81-107, May.
    9. Stephan B. Bruns, Christian Gross and David I. Stern, 2014. "Is There Really Granger Causality Between Energy Use and Output?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4).
    10. Jesus Felipe & J. S. L. McCombie, 2001. "The CES Production Function, the accounting identity, and Occam's razor," Applied Economics, Taylor & Francis Journals, vol. 33(10), pages 1221-1232.
    11. D. W. Jorgenson & Z. Griliches, 1967. "The Explanation of Productivity Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(3), pages 249-283.
    12. Laura M. Platchkov & Michael G. Pollitt, 2011. "The Economics of Energy (and Electricity) Demand," Working Papers EPRG 1116, Energy Policy Research Group, Cambridge Judge Business School, University of Cambridge.
    13. Jakub Growiec, 2013. "On the measurement of technological progress across countries," Bank i Kredyt, Narodowy Bank Polski, vol. 44(5), pages 467-504.
    14. Kander, Astrid & Stern, David I., 2014. "Economic growth and the transition from traditional to modern energy in Sweden," Energy Economics, Elsevier, vol. 46(C), pages 56-65.
    15. David Stern, 2011. "Elasticities of substitution and complementarity," Journal of Productivity Analysis, Springer, vol. 36(1), pages 79-89, August.
    16. 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.
    17. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    18. 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.
    19. Scott L. Baier & Gerald P. Dwyer & Robert Tamura, 2006. "How Important are Capital and Total Factor Productivity for Economic Growth?," Economic Inquiry, Western Economic Association International, vol. 44(1), pages 23-49, January.
    20. Zarembka, Paul, 1970. "On the Empirical Relevance of the CES Production Function," The Review of Economics and Statistics, MIT Press, vol. 52(1), pages 47-53, February.
    21. Paul Schreyer, 2004. "Capital Stocks, Capital Services and Multi-Factor Productivity Measures," OECD Economic Studies, OECD Publishing, vol. 2003(2), pages 163-184.
    22. Florin-Marius PAVELESCU, 2011. "Some aspects of the translog production function estimation," Romanian Journal of Economics, Institute of National Economy, vol. 32(1(41)), pages 131-150, June.
    23. S K Mishra, 2010. "A Brief History of Production Functions," The IUP Journal of Managerial Economics, IUP Publications, vol. 0(4), pages 6-34, November.
    24. Warr, Benjamin & Ayres, Robert U., 2012. "Useful work and information as drivers of economic growth," Ecological Economics, Elsevier, vol. 73(C), pages 93-102.
    25. Fare, Rolf & Yoon, Bong Joon, 1981. "Variable elasticity of substitution in urban housing production," Journal of Urban Economics, Elsevier, vol. 10(3), pages 369-374, November.
    26. Robert S. Chirinko, 2008. "ó: The Long And Short Of It," CESifo Working Paper Series 2234, CESifo.
    27. Bentzen, Jan, 2004. "Estimating the rebound effect in US manufacturing energy consumption," Energy Economics, Elsevier, vol. 26(1), pages 123-134, January.
    28. 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.
    29. Christian Daude, 2013. "Understanding Solow Residuals in Latin America," Economía Journal, The Latin American and Caribbean Economic Association - LACEA, vol. 0(Spring 20), pages 109-144, January.
    30. Lumengo Bonga‐bonga, 2009. "The South African Aggregate Production Function: Estimation Of The Constant Elasticity Of Substitution Function," South African Journal of Economics, Economic Society of South Africa, vol. 77(2), pages 332-349, June.
    31. Klump, Rainer & Saam, Marianne, 2008. "Calibration of normalised CES production functions in dynamic models," Economics Letters, Elsevier, vol. 99(2), pages 256-259, May.
    32. Barro, Robert J & Lee, Jong-Wha, 2001. "International Data on Educational Attainment: Updates and Implications," Oxford Economic Papers, Oxford University Press, vol. 53(3), pages 541-563, July.
    33. Dale, M. & Krumdieck, S. & Bodger, P., 2012. "Global energy modelling — A biophysical approach (GEMBA) Part 2: Methodology," Ecological Economics, Elsevier, vol. 73(C), pages 158-167.
    34. Koesler, Simon & Schymura, Michael, 2012. "Substitution elasticities in a CES production framework: An empirical analysis on the basis of non-linear least squares estimations," ZEW Discussion Papers 12-007, ZEW - Leibniz Centre for European Economic Research.
    35. 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.
    36. Steve Sorrell, 2014. "Energy Substitution, Technical Change and Rebound Effects," Energies, MDPI, vol. 7(5), pages 1-24, April.
    37. Cleveland, Cutler J. & Kaufmann, Robert K. & Stern, David I., 2000. "Aggregation and the role of energy in the economy," Ecological Economics, Elsevier, vol. 32(2), pages 301-317, February.
    38. Jesus Felipe & J. S. L. McCombie, 2010. "What is wrong with aggregate production functions. On Temple's 'aggregate production functions and growth economics'," International Review of Applied Economics, Taylor & Francis Journals, vol. 24(6), pages 665-684.
    39. Rusek, Antonin, 1989. "Industrial growth in Czechoslovakia 1971-1985: Total factor productivity and capital-labor substitution," Journal of Comparative Economics, Elsevier, vol. 13(2), pages 301-313, June.
    40. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    41. John Fernald & Brent Neiman, 2006. "Measuring the Miracle: Market Imperfections and Asia's Growth Experience," 2006 Meeting Papers 785, Society for Economic Dynamics.
    42. 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.
    43. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    44. Henningsen, Arne & Henningsen, Géraldine, 2012. "On estimation of the CES production function—Revisited," Economics Letters, Elsevier, vol. 115(1), pages 67-69.
    45. Joan Robinson, 1953. "The Production Function and the Theory of Capital," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(2), pages 81-106.
    46. 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.
    47. Burda, Michael C. & Severgnini, Battista, 2014. "Solow residuals without capital stocks," Journal of Development Economics, Elsevier, vol. 109(C), pages 154-171.
    48. 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.
    49. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    50. Bor, Yunchang Jeffrey & Huang, Yophy, 2010. "Energy taxation and the double dividend effect in Taiwan's energy conservation policy--an empirical study using a computable general equilibrium model," Energy Policy, Elsevier, vol. 38(5), pages 2086-2100, May.
    51. Turner, Karen, 2009. "Negative rebound and disinvestment effects in response to an improvement in energy efficiency in the UK economy," Energy Economics, Elsevier, vol. 31(5), pages 648-666, September.
    52. Paul Schreyer & Pierre-Emmanuel Bignon & Julien Dupont, 2003. "OECD Capital Services Estimates: Methodology and a First Set of Results," OECD Statistics Working Papers 2003/6, OECD Publishing.
    53. Eric Miller, 2008. "An Assessment of CES and Cobb-Douglas Production Functions: Working Paper 2008-05," Working Papers 19992, Congressional Budget Office.
    54. Mary O'Mahony & Marcel P. Timmer, 2009. "Output, Input and Productivity Measures at the Industry Level: The EU KLEMS Database," Economic Journal, Royal Economic Society, vol. 119(538), pages 374-403, June.
    55. Øivind A. Nilsen & Arvid Raknerud & Marina Rybalka & Terje Skjerpen, 2011. "The Importance Of Skill Measurement For Growth Accounting," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(2), pages 293-305, June.
    56. Jesus Felipe & Franklin M. Fisher, 2003. "Aggregation in Production Functions: What Applied Economists should Know," Metroeconomica, Wiley Blackwell, vol. 54(2‐3), pages 208-262, May.
    57. Hayami, Yujiro & Ruttan, Vernon W, 1970. "Agricultural Productivity Differences Among Countries," American Economic Review, American Economic Association, vol. 60(5), pages 895-911, December.
    58. Cantore, Cristiano & Levine, Paul & Pearlman, Joseph & Yang, Bo, 2015. "CES technology and business cycle fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 61(C), pages 133-151.
    59. Temple, Jonathan, 2012. "The calibration of CES production functions," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 294-303.
    60. van der Werf, Edwin, 2008. "Production functions for climate policy modeling: An empirical analysis," Energy Economics, Elsevier, vol. 30(6), pages 2964-2979, November.
    61. Wei, Taoyuan, 2007. "Impact of energy efficiency gains on output and energy use with Cobb-Douglas production function," Energy Policy, Elsevier, vol. 35(4), pages 2023-2030, April.
    62. John Fernald & Brent Neiman, 2011. "Growth Accounting with Misallocation: Or, Doing Less with More in Singapore," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(2), pages 29-74, April.
    63. Desai, Padma, 1985. "Total factor productivity in postwar Soviet industry and its branches," Journal of Comparative Economics, Elsevier, vol. 9(1), pages 1-23, March.
    64. Caselli, Francesco, 2005. "Accounting for cross-country income differences," LSE Research Online Documents on Economics 5266, London School of Economics and Political Science, LSE Library.
    65. 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.
    66. K.P. Kalirajan & M.B. Obwona & S. Zhao, 1996. "A Decomposition of Total Factor Productivity Growth: The Case of Chinese Agricultural Growth before and after Reforms," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(2), pages 331-338.
    67. Jesus Felipe & F. Gerard Adams, 2005. ""A Theory of Production" The Estimation of the Cobb-Douglas Function: A Retrospective View," Eastern Economic Journal, Eastern Economic Association, vol. 31(3), pages 427-445, Summer.
    68. Renshaw, Edward F., 1981. "Energy efficiency and the slump in labour productivity in the USA," Energy Economics, Elsevier, vol. 3(1), pages 36-42, January.
    69. Hanley, Nick & McGregor, Peter G. & Swales, J. Kim & Turner, Karen, 2009. "Do increases in energy efficiency improve environmental quality and sustainability?," Ecological Economics, Elsevier, vol. 68(3), pages 692-709, January.
    70. Shaikh, Anwar, 1974. "Laws of Production and Laws of Algebra: The Humbug Production Function," The Review of Economics and Statistics, MIT Press, vol. 56(1), pages 115-120, February.
    71. Robert E. Hall & Charles I. Jones, 1999. "Why do Some Countries Produce So Much More Output Per Worker than Others?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 83-116.
    72. Robert S. Chirinko & Debdulal Mallick, 2017. "The Substitution Elasticity, Factor Shares, and the Low-Frequency Panel Model," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(4), pages 225-253, October.
    73. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    74. Warr, B.S. & Ayres, R.U., 2010. "Evidence of causality between the quantity and quality of energy consumption and economic growth," Energy, Elsevier, vol. 35(4), pages 1688-1693.
    75. repec:wly:soecon:v:82:2:y:2015:p:408-415 is not listed on IDEAS
    76. K. Sato, 1967. "A Two-Level Constant-Elasticity-of-Substitution Production Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(2), pages 201-218.
    77. Dale W. Jorgenson, 2000. "Econometrics, Volume 1: Econometric Modeling of Producer Behavior," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100827, April.
    78. Kam Leong Szeto, 2001. "An Econometric Analysis of a Production Function for New Zealand," Treasury Working Paper Series 01/31, New Zealand Treasury.
    79. Khan, Ashfaque H & Ahmad, Mushtaq, 1985. "Real Money Balances in the Production Function of a Developing Country," The Review of Economics and Statistics, MIT Press, vol. 67(2), pages 336-340, May.
    80. Kemfert, Claudia, 1998. "Estimated substitution elasticities of a nested CES production function approach for Germany," Energy Economics, Elsevier, vol. 20(3), pages 249-264, June.
    81. Charles R. Hulten & Edwin R. Dean & Michael J. Harper, 2001. "New Developments in Productivity Analysis," NBER Books, National Bureau of Economic Research, Inc, number hult01-1.
    82. Adetutu, Morakinyo O., 2014. "Energy efficiency and capital-energy substitutability: Evidence from four OPEC countries," Applied Energy, Elsevier, vol. 119(C), pages 363-370.
    83. M. S. Feldstein, 1967. "Specification of the Labour Input in the Aggregate Production Function," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(4), pages 375-386.
    84. Katy Long & Mark Franklin, 2010. "Multi–factor productivity: estimates for 1994 to 2008," Economic & Labour Market Review, Palgrave Macmillan;Office for National Statistics, vol. 4(9), pages 67-72, August.
    85. 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.
    86. Ferran Sancho, 2009. "Calibration Of Ces Functions For Real-World Multisectoral Modeling," Economic Systems Research, Taylor & Francis Journals, vol. 21(1), pages 45-58.
    87. Pantelis Kalaitzidakis & George Korniotis, 2000. "The Solow growth model: vector autoregression (VAR) and cross-section time-series analysis," Applied Economics, Taylor & Francis Journals, vol. 32(6), pages 739-747.
    88. Paquet, Alain & Robidoux, Benoit, 2001. "Issues on the measurement of the Solow residual and the testing of its exogeneity: Evidence for Canada," Journal of Monetary Economics, Elsevier, vol. 47(3), pages 595-612, June.
    89. Mallick, Debdulal, 2012. "The role of the elasticity of substitution in economic growth: A cross-country investigation," Labour Economics, Elsevier, vol. 19(5), pages 682-694.
    90. Fisher, Franklin M, 1969. "The Existence of Aggregate Production Functions," Econometrica, Econometric Society, vol. 37(4), pages 553-577, October.
    91. Finn, Mary G., 1995. "Variance properties of Solow's productivity residual and their cyclical implications," Journal of Economic Dynamics and Control, Elsevier, vol. 19(5-7), pages 1249-1281.
    92. Garcia-Mila, Teresa & McGuire, Therese J., 1992. "The contribution of publicly provided inputs to states' economies," Regional Science and Urban Economics, Elsevier, vol. 22(2), pages 229-241, June.
    93. Vouvaki, Dimitra & XEPAPADEAS, Anastasios, 2008. "Total Factor Productivity Growth when Factors of Production Generate Environmental Externalities," MPRA Paper 10237, University Library of Munich, Germany.
    94. Warr, Benjamin & Ayres, Robert & Eisenmenger, Nina & Krausmann, Fridolin & Schandl, Heinz, 2010. "Energy use and economic development: A comparative analysis of useful work supply in Austria, Japan, the United Kingdom and the US during 100Â years of economic growth," Ecological Economics, Elsevier, vol. 69(10), pages 1904-1917, August.
    95. 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.
    96. R. Stresing & D. Lindenberger & R. Kümmel, 2008. "Cointegration of output, capital, labor, and energy," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 66(2), pages 279-287, November.
    97. Caballero, Ricardo J, 1994. "Small Sample Bias and Adjustment Costs," The Review of Economics and Statistics, MIT Press, vol. 76(1), pages 52-58, February.
    98. Saunders, Harry D., 2013. "Historical evidence for energy efficiency rebound in 30 US sectors and a toolkit for rebound analysts," Technological Forecasting and Social Change, Elsevier, vol. 80(7), pages 1317-1330.
    99. Norman K Thurston & Anne M. Libby, 2002. "A Production Function For Physician Services Revisited," The Review of Economics and Statistics, MIT Press, vol. 84(1), pages 184-191, February.
    100. Arne Henningsen & Géraldine Henningsen, 2011. "Econometric Estimation of the “Constant Elasticity of Substitution" Function in R: Package micEconCES," IFRO Working Paper 2011/9, University of Copenhagen, Department of Food and Resource Economics.
    101. Alexandre Gohin & Thomas W. Hertel, 2001. "A note on the CES functional form and its use in the GTAP model," Post-Print hal-01931687, HAL.
    102. Stern, David I., 1993. "Energy and economic growth in the USA : A multivariate approach," Energy Economics, Elsevier, vol. 15(2), pages 137-150, April.
    103. Jesus Felipe & Carsten Holz, 2001. "Why do Aggregate Production Functions Work? Fisher's simulations, Shaikh's identity and some new results," International Review of Applied Economics, Taylor & Francis Journals, vol. 15(3), pages 261-285.
    104. Moses Abramovitz, 1956. "Resource and Output Trends in the United States since 1870," NBER Books, National Bureau of Economic Research, Inc, number abra56-1.
    105. Olivier de La Grandville & Rainer Klump, 2000. "Economic Growth and the Elasticity of Substitution: Two Theorems and Some Suggestions," American Economic Review, American Economic Association, vol. 90(1), pages 282-291, March.
    106. Dana Hájková & Jaromír Hurník, 2007. "Cobb-Douglas Production Function: The Case of a Converging Economy," Czech Journal of Economics and Finance (Finance a uver), Charles University Prague, Faculty of Social Sciences, vol. 57(9-10), pages 465-476, October.
    107. Saunders, Harry D., 2008. "Fuel conserving (and using) production functions," Energy Economics, Elsevier, vol. 30(5), pages 2184-2235, September.
    108. 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.
    109. Padma Desai & Ricardo Martin, 1983. "Efficiency Loss from Resource Misallocation in Soviet Industry," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 441-456.
    110. Chris Papageorgiou & Marianne Saam & Patrick Schulte, 2017. "Substitution between Clean and Dirty Energy Inputs: A Macroeconomic Perspective," The Review of Economics and Statistics, MIT Press, vol. 99(2), pages 281-290, May.
    111. Yuan, Chaoqing & Liu, Sifeng & Wu, Junlong, 2009. "Research on energy-saving effect of technological progress based on Cobb-Douglas production function," Energy Policy, Elsevier, vol. 37(8), pages 2842-2846, August.
    112. Keting Shen & John Whalley, 2013. "Capital-Labor-Energy Substitution in Nested CES Production Functions for China," NBER Working Papers 19104, National Bureau of Economic Research, Inc.
    113. Caselli, Francesco, 2005. "Accounting for cross-country income differences," LSE Research Online Documents on Economics 3567, London School of Economics and Political Science, LSE Library.
    114. Charles R. Hulten, 2001. "Total Factor Productivity: A Short Biography," NBER Chapters, in: New Developments in Productivity Analysis, pages 1-54, National Bureau of Economic Research, Inc.
    115. Nabil Annabi & John Cockburn & Bernard Decaluwé, 2006. "Functional Forms and Parametrization of CGE Models," Working Papers MPIA 2006-04, PEP-MPIA.
    116. Dale, M. & Krumdieck, S. & Bodger, P., 2012. "Global energy modelling — A biophysical approach (GEMBA) part 1: An overview of biophysical economics," Ecological Economics, Elsevier, vol. 73(C), pages 152-157.
    117. Moses Abramovitz, 1956. "Resource and Output Trends in the United States since 1870," NBER Chapters, in: Resource and Output Trends in the United States since 1870, pages 1-23, National Bureau of Economic Research, Inc.
    118. Rainer Klump & Peter McAdam & Alpo Willman, 2012. "The Normalized Ces Production Function: Theory And Empirics," Journal of Economic Surveys, Wiley Blackwell, vol. 26(5), pages 769-799, December.
    119. Steinberger, Julia K. & Krausmann, Fridolin & Eisenmenger, Nina, 2010. "Global patterns of materials use: A socioeconomic and geophysical analysis," Ecological Economics, Elsevier, vol. 69(5), pages 1148-1158, March.
    120. 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.
    121. Palivos, Theodore, 2008. "Comment on "[sigma]: The long and short of it"," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 687-690, June.
    122. Vouvaki, Dimitra & XEPAPADEAS, Anastasios, 2008. "Total Factor Productivity Growth when Factors of Production Generate Environmental Externalities," MPRA Paper 10237, University Library of Munich, Germany.
    123. Harry D. Saunders, 2015. "Recent Evidence for Large Rebound: Elucidating the Drivers and their Implications for Climate Change Models," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1).
    124. Daniel McFadden, 1963. "Constant Elasticity of Substitution Production Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 73-83.
    125. Prywes, Menahem, 1986. "A nested CES approach to capital-energy substitution," Energy Economics, Elsevier, vol. 8(1), pages 22-28, January.
    126. Susan M. Capalbo & Michael G. S. Denny, 1986. "Testing Long-Run Productivity Models for the Canadian and U.S. Agricultural Sectors," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(3), pages 615-625.
    127. Hannon, Bruce & Joyce, John, 1981. "Energy and technical progress," Energy, Elsevier, vol. 6(2), pages 187-195.
    128. Ha, Soo Jung & Lange, Ian & Lecca, Patrizio & Turner, Karen, 2012. "Econometric estimation of nested production functions and testing in a computable general equilibrium analysis of economy-wide rebound effec ts," Stirling Economics Discussion Papers 2012-08, University of Stirling, Division of Economics.
    129. Tong Li & Robert Rosenman, 2001. "Estimating hospital costs with a generalized Leontief function," Health Economics, John Wiley & Sons, Ltd., vol. 10(6), pages 523-538, September.
    130. Harty D. Saunders, 1992. "The Khazzoom-Brookes Postulate and Neoclassical Growth," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 131-148.
    131. Martin, Will & Mitra, Devashish, 2001. "Productivity Growth and Convergence in Agriculture versus Manufacturing," Economic Development and Cultural Change, University of Chicago Press, vol. 49(2), pages 403-422, January.
    132. Robert H. Rasche & John A. Tatom, 1977. "Energy resources and potential GNP," Review, Federal Reserve Bank of St. Louis, vol. 59(Jun), pages 10-24.
    133. Y. Mundlak, 1968. "Elasticities of Substitution and the Theory of Derived Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 225-236.
    134. Easterly, William & Fischer, Stanley, 1995. "The Soviet Economic Decline," The World Bank Economic Review, World Bank, vol. 9(3), pages 341-371, September.
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