IDEAS home Printed from https://ideas.repec.org/a/eee/eneeco/v56y2016icp270-287.html
   My bibliography  Save this article

Marginal Rate of Transformation and Rate of Substitution measured by DEA environmental assessment: Comparison among European and North American nations

Author

Listed:
  • Sueyoshi, Toshiyuki
  • Yuan, Yan

Abstract

This study discusses the new use of DEA (Data Envelopment Analysis) environmental assessment to measure MRT (Marginal Rate of Transformation) and RS (Rate of Substitution) among production factors (e.g., inputs, desirable and undesirable outputs). To measure the degree on MRT and RS, this study first examines a concept of disposability from the perspective of economic strategies to combat various environmental issues. The strategies are extendable to a policy change for pollution prevention. The underlying concept is separated into natural and managerial disposability. Under managerial disposability, it is possible for us to measure an occurrence of desirable congestion, or eco-technology innovation. Considering the disposability concept, this study discusses how to measure the type and magnitude of MRT and RS. A problem of the MRT & RS measurement is that these measures usually become unstable (e.g., very large or small in these magnitudes) because DEA does not assume any functional form for economic activities. To overcome such a difficulty, this study equips DEA environmental assessment with multiplier restriction by utilizing a unique feature on a proposed data treatment. The multiplier restriction in DEA has been never explored in previous works on environmental assessment. In an application, this study finds three important economic concerns on Europe and North America. First, Western Europe outperforms Eastern Europe and North America in their unified efficiency measures under managerial disposability. This study statistically confirms a difference between Western and Eastern Europe, but not between Western Europe and North America. This result exhibits that Eastern Europe is not yet well developed at the level of the other two regions. Second, Eastern Europe has exhibited MRT estimates that are different from Western Europe and North America. The nations in Eastern Europe have an economic potential for industrial developments because the level of their industrial pollutions is less than that of the other two regions. The potential is also found in their MRT estimates. Finally, an interesting difference can be found in the RS estimate between Eastern Europe and Western Europe from 2008 to 2012. They have statistically exhibited a difference between the two regimes, but not with North America. This is because most nations in both Western Europe and North America have already attained a high level of economic successes so that they have a limited industrial potential under current production technology and eco-technology. The situation of the two regions will be changed along with new technology development. In contrast, Eastern Europe is different from the other two regions in terms of attaining such a level of social sustainability because of limited capital accumulation and limited opportunity for technology innovation.

Suggested Citation

  • Sueyoshi, Toshiyuki & Yuan, Yan, 2016. "Marginal Rate of Transformation and Rate of Substitution measured by DEA environmental assessment: Comparison among European and North American nations," Energy Economics, Elsevier, vol. 56(C), pages 270-287.
  • Handle: RePEc:eee:eneeco:v:56:y:2016:i:c:p:270-287
    DOI: 10.1016/j.eneco.2016.01.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0140988316300275
    Download Restriction: Full text for ScienceDirect subscribers only

    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. Sueyoshi, Toshiyuki & Goto, Mika & Sugiyama, Manabu, 2013. "DEA window analysis for environmental assessment in a dynamic time shift: Performance assessment of U.S. coal-fired power plants," Energy Economics, Elsevier, vol. 40(C), pages 845-857.
    2. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Returns to Scale and Damages to Scale with Strong Complementary Slackness Conditions in DEA Assessment: Japanese Corporate Effort on Environment Protection," Energy Economics, Elsevier, vol. 34(5), pages 1422-1434.
    3. Sueyoshi, Toshiyuki & Goto, Mika, 2014. "Investment strategy for sustainable society by development of regional economies and prevention of industrial pollutions in Japanese manufacturing sectors," Energy Economics, Elsevier, vol. 42(C), pages 299-312.
    4. Sueyoshi, Toshiyuki & Yuan, Yan, 2015. "China's regional sustainability and diversified resource allocation: DEA environmental assessment on economic development and air pollution," Energy Economics, Elsevier, vol. 49(C), pages 239-256.
    5. Sueyoshi, Toshiyuki & Wang, Derek, 2014. "Radial and non-radial approaches for environmental assessment by Data Envelopment Analysis: Corporate sustainability and effective investment for technology innovation," Energy Economics, Elsevier, vol. 45(C), pages 537-551.
    6. Zhang, Xing-Ping & Cheng, Xiao-Mei & Yuan, Jia-Hai & Gao, Xiao-Jun, 2011. "Total-factor energy efficiency in developing countries," Energy Policy, Elsevier, vol. 39(2), pages 644-650, February.
    7. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2015. "On the (de)stabilizing effect of public debt in a Ramsey model with heterogeneous agents," International Journal of Economic Theory, The International Society for Economic Theory, vol. 11(1), pages 7-24, March.
    8. Hawdon, David, 2003. "Efficiency, performance and regulation of the international gas industry--a bootstrap DEA approach," Energy Policy, Elsevier, vol. 31(11), pages 1167-1178, September.
    9. Zhang, Jingjing, 2015. "International factor mobility, elasticity of substitution in production and the skilled–unskilled wage gap," International Review of Economics & Finance, Elsevier, vol. 35(C), pages 122-129.
    10. Estache, Antonio & Tovar, Beatriz & Trujillo, Lourdes, 2008. "How efficient are African electricity companies? Evidence from the Southern African countries," Energy Policy, Elsevier, vol. 36(6), pages 1969-1979, June.
    11. Sueyoshi, Toshiyuki & Goto, Mika & Shang, Jennifer, 2009. "Core business concentration vs. corporate diversification in the US electric utility industry: Synergy and deregulation effects," Energy Policy, Elsevier, vol. 37(11), pages 4583-4594, November.
    12. Sueyoshi, Toshiyuki & Goto, Mika, 2014. "DEA radial measurement for environmental assessment: A comparative study between Japanese chemical and pharmaceutical firms," Applied Energy, Elsevier, vol. 115(C), pages 502-513.
    13. Sueyoshi, Toshiyuki & Goto, Mika, 2013. "A comparative study among fossil fuel power plants in PJM and California ISO by DEA environmental assessment," Energy Economics, Elsevier, vol. 40(C), pages 130-145.
    14. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "DEA radial and non-radial models for unified efficiency under natural and managerial disposability: Theoretical extension by strong complementary slackness conditions," Energy Economics, Elsevier, vol. 34(3), pages 700-713.
    15. Karen Palmer & Wallace E. Oates & Paul R. Portney, 1995. "Tightening Environmental Standards: The Benefit-Cost or the No-Cost Paradigm?," Journal of Economic Perspectives, American Economic Association, vol. 9(4), pages 119-132, Fall.
    16. Kounetas, Konstantinos, 2015. "Heterogeneous technologies, strategic groups and environmental efficiency technology gaps for European countries," Energy Policy, Elsevier, vol. 83(C), pages 277-287.
    17. Sheng, Yu & Wu, Yanrui & Shi, Xunpeng & Zhang, Dandan, 2015. "Energy trade efficiency and its determinants: A Malmquist index approach," Energy Economics, Elsevier, vol. 50(C), pages 306-314.
    18. Sueyoshi, Toshiyuki & Goto, Mika, 2010. "Should the US clean air act include CO2 emission control?: Examination by data envelopment analysis," Energy Policy, Elsevier, vol. 38(10), pages 5902-5911, October.
    19. Sueyoshi, Toshiyuki & Goto, Mika, 2015. "DEA environmental assessment in time horizon: Radial approach for Malmquist index measurement on petroleum companies," Energy Economics, Elsevier, vol. 51(C), pages 329-345.
    20. Sueyoshi, Toshiyuki & Yuan, Yan, 2016. "Returns to damage under undesirable congestion and damages to return under desirable congestion measured by DEA environmental assessment with multiplier restriction: Economic and energy planning for s," Energy Economics, Elsevier, vol. 56(C), pages 288-309.
    21. Sueyoshi, Toshiyuki & Goto, Mika, 2010. "Measurement of a linkage among environmental, operational, and financial performance in Japanese manufacturing firms: A use of Data Envelopment Analysis with strong complementary slackness condition," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1742-1753, December.
    22. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "DEA environmental assessment of coal fired power plants: Methodological comparison between radial and non-radial models," Energy Economics, Elsevier, vol. 34(6), pages 1854-1863.
    23. Sueyoshi, Toshiyuki & Yuan, Yan, 2015. "Comparison among U.S. industrial sectors by DEA environmental assessment: Equipped with analytical capability to handle zero or negative in production factors," Energy Economics, Elsevier, vol. 52(PA), pages 69-86.
    24. 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.
    25. Apergis, Nicholas & Aye, Goodness C. & Barros, Carlos Pestana & Gupta, Rangan & Wanke, Peter, 2015. "Energy efficiency of selected OECD countries: A slacks based model with undesirable outputs," Energy Economics, Elsevier, vol. 51(C), pages 45-53.
    26. Guo, Jang-Ting & Lansing, Kevin J., 2009. "Capital-labor substitution and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 33(12), pages 1991-2000, December.
    27. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Returns to Scale, Damages to Scale, Marginal Rate of Transformation and Rate of Substitution in DEA Environmental Assessment," Energy Economics, Elsevier, vol. 34(4), pages 905-917.
    28. Sueyoshi, Toshiyuki & Goto, Mika, 2014. "Environmental assessment for corporate sustainability by resource utilization and technology innovation: DEA radial measurement on Japanese industrial sectors," Energy Economics, Elsevier, vol. 46(C), pages 295-307.
    29. Goto, Mika & Otsuka, Akihiro & Sueyoshi, Toshiyuki, 2014. "DEA (Data Envelopment Analysis) assessment of operational and environmental efficiencies on Japanese regional industries," Energy, Elsevier, vol. 66(C), pages 535-549.
    30. Tamai, Toshiki, 2013. "The macroeconomic effects of fiscal policy in a stochastically growing economy," Economic Modelling, Elsevier, vol. 35(C), pages 464-471.
    31. Bampatsou, Christina & Papadopoulos, Savas & Zervas, Efthimios, 2013. "Technical efficiency of economic systems of EU-15 countries based on energy consumption," Energy Policy, Elsevier, vol. 55(C), pages 426-434.
    32. Sueyoshi, Toshiyuki & Goto, Mika, 2013. "DEA environmental assessment in a time horizon: Malmquist index on fuel mix, electricity and CO2 of industrial nations," Energy Economics, Elsevier, vol. 40(C), pages 370-382.
    33. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Efficiency-based rank assessment for electric power industry: A combined use of Data Envelopment Analysis (DEA) and DEA-Discriminant Analysis (DA)," Energy Economics, Elsevier, vol. 34(3), pages 634-644.
    34. Sueyoshi, Toshiyuki & Goto, Mika, 2016. "Undesirable congestion under natural disposability and desirable congestion under managerial disposability in U.S. electric power industry measured by DEA environmental assessment," Energy Economics, Elsevier, vol. 55(C), pages 173-188.
    35. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Data envelopment analysis for environmental assessment: Comparison between public and private ownership in petroleum industry," European Journal of Operational Research, Elsevier, vol. 216(3), pages 668-678.
    36. Henningsen, Arne & Henningsen, Géraldine, 2012. "On estimation of the CES production function—Revisited," Economics Letters, Elsevier, vol. 115(1), pages 67-69.
    37. Sueyoshi, Toshiyuki & Goto, Mika & Ueno, Takahiro, 2010. "Performance analysis of US coal-fired power plants by measuring three DEA efficiencies," Energy Policy, Elsevier, vol. 38(4), pages 1675-1688, April.
    38. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Environmental assessment by DEA radial measurement: U.S. coal-fired power plants in ISO (Independent System Operator) and RTO (Regional Transmission Organization)," Energy Economics, Elsevier, vol. 34(3), pages 663-676.
    39. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Weak and strong disposability vs. natural and managerial disposability in DEA environmental assessment: Comparison between Japanese electric power industry and manufacturing industries," Energy Economics, Elsevier, vol. 34(3), pages 686-699.
    40. Beltrán-Esteve, Mercedes & Picazo-Tadeo, Andrés J., 2015. "Assessing environmental performance trends in the transport industry: Eco-innovation or catching-up?," Energy Economics, Elsevier, vol. 51(C), pages 570-580.
    41. Glover, Fred & Sueyoshi, Toshiyuki, 2009. "Contributions of Professor William W. Cooper in Operations Research and Management Science," European Journal of Operational Research, Elsevier, vol. 197(1), pages 1-16, August.
    42. Asmild, Mette & Paradi, Joseph C. & Reese, David N., 2006. "Theoretical perspectives of trade-off analysis using DEA," Omega, Elsevier, vol. 34(4), pages 337-343, August.
    43. W. Cooper & Dr. Park & Professor Ciurana, 2000. "Marginal Rates and Elasticities of Substitution with Additive Models in DEA," Journal of Productivity Analysis, Springer, vol. 13(2), pages 105-123, March.
    44. Mallick, Debdulal, 2010. "Capital-labor substitution and balanced growth," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1131-1142, December.
    45. Sueyoshi, Toshiyuki & Goto, Mika, 2015. "Japanese fuel mix strategy after disaster of Fukushima Daiichi nuclear power plant: Lessons from international comparison among industrial nations measured by DEA environmental assessment in time hori," Energy Economics, Elsevier, vol. 52(PA), pages 87-103.
    46. Sueyoshi, Toshiyuki & Goto, Mika, 2011. "Operational synergy in the US electric utility industry under an influence of deregulation policy: A linkage to financial performance and corporate value," Energy Policy, Elsevier, vol. 39(2), pages 699-713, February.
    47. Michael E. Porter & Claas van der Linde, 1995. "Toward a New Conception of the Environment-Competitiveness Relationship," Journal of Economic Perspectives, American Economic Association, vol. 9(4), pages 97-118, Fall.
    48. Sueyoshi, Toshiyuki & Wang, Derek, 2014. "Sustainability development for supply chain management in U.S. petroleum industry by DEA environmental assessment," Energy Economics, Elsevier, vol. 46(C), pages 360-374.
    49. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "Returns to scale and damages to scale under natural and managerial disposability: Strategy, efficiency and competitiveness of petroleum firms," Energy Economics, Elsevier, vol. 34(3), pages 645-662.
    50. Davis, George C & Gauger, Jean, 1996. "Measuring Substitution in Monetary-Asset Demand Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(2), pages 203-208, April.
    51. Sueyoshi, Toshiyuki & Goto, Mika, 2011. "DEA approach for unified efficiency measurement: Assessment of Japanese fossil fuel power generation," Energy Economics, Elsevier, vol. 33(2), pages 292-303, March.
    52. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
    53. Rashidi, Kamran & Farzipoor Saen, Reza, 2015. "Measuring eco-efficiency based on green indicators and potentials in energy saving and undesirable output abatement," Energy Economics, Elsevier, vol. 50(C), pages 18-26.
    54. Sueyoshi, Toshiyuki & Goto, Mika, 2012. "DEA radial measurement for environmental assessment and planning: Desirable procedures to evaluate fossil fuel power plants," Energy Policy, Elsevier, vol. 41(C), pages 422-432.
    55. Zhou, P. & Ang, B.W. & Han, J.Y., 2010. "Total factor carbon emission performance: A Malmquist index analysis," Energy Economics, Elsevier, vol. 32(1), pages 194-201, January.
    56. Wang, Derek & Li, Shanling & Sueyoshi, Toshiyuki, 2014. "DEA environmental assessment on U.S. Industrial sectors: Investment for improvement in operational and environmental performance to attain corporate sustainability," Energy Economics, Elsevier, vol. 45(C), pages 254-267.
    57. Chiu, Yung-Ho & Lee, Jen-Hui & Lu, Ching-Cheng & Shyu, Ming-Kuang & Luo, Zhengying, 2012. "The technology gap and efficiency measure in WEC countries: Application of the hybrid meta frontier model," Energy Policy, Elsevier, vol. 51(C), pages 349-357.
    58. Sueyoshi, Toshiyuki & Goto, Mika, 2013. "Returns to scale vs. damages to scale in data envelopment analysis: An impact of U.S. clean air act on coal-fired power plants," Omega, Elsevier, vol. 41(2), pages 164-175.
    59. Sueyoshi, Toshiyuki & Goto, Mika, 2014. "Photovoltaic power stations in Germany and the United States: A comparative study by data envelopment analysis," Energy Economics, Elsevier, vol. 42(C), pages 271-288.
    60. Maruyama, Naoko & Eckelman, Matthew J., 2009. "Long-term trends of electric efficiencies in electricity generation in developing countries," Energy Policy, Elsevier, vol. 37(5), pages 1678-1686, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sueyoshi, Toshiyuki & Yuan, Yan & Goto, Mika, 2017. "A literature study for DEA applied to energy and environment," Energy Economics, Elsevier, vol. 62(C), pages 104-124.
    2. Toshiyuki Sueyoshi & Yan Yuan & Aijun Li & Daoping Wang, 2017. "Social Sustainability of Provinces in China: A Data Envelopment Analysis (DEA) Window Analysis under the Concepts of Natural and Managerial Disposability," Sustainability, MDPI, Open Access Journal, vol. 9(11), pages 1-18, November.
    3. Ma, Chunbo & Hailu, Atakelty & You, Chaoying, 2019. "A critical review of distance function based economic research on China’s marginal abatement cost of carbon dioxide emissions," Energy Economics, Elsevier, vol. 84(C).
    4. Sueyoshi, Toshiyuki & Yuan, Yan, 2016. "Returns to damage under undesirable congestion and damages to return under desirable congestion measured by DEA environmental assessment with multiplier restriction: Economic and energy planning for s," Energy Economics, Elsevier, vol. 56(C), pages 288-309.
    5. Toshiyuki Sueyoshi & Mika Goto, 2019. "DEA Non-Radial Approach for Resource Allocation and Energy Usage to Enhance Corporate Sustainability in Japanese Manufacturing Industries," Energies, MDPI, Open Access Journal, vol. 12(9), pages 1-22, May.
    6. Sueyoshi, Toshiyuki & Goto, Mika & Wang, Derek, 2017. "Malmquist index measurement for sustainability enhancement in Chinese municipalities and provinces," Energy Economics, Elsevier, vol. 67(C), pages 554-571.
    7. Sueyoshi, Toshiyuki & Yuan, Yan, 2017. "Social sustainability measured by intermediate approach for DEA environmental assessment: Chinese regional planning for economic development and pollution prevention," Energy Economics, Elsevier, vol. 66(C), pages 154-166.
    8. Sueyoshi, Toshiyuki & Wang, Derek, 2018. "DEA environmental assessment on US petroleum industry: Non-radial approach with translation invariance in time horizon," Energy Economics, Elsevier, vol. 72(C), pages 276-289.
    9. Aizhen Zhang & Aijun Li & Yaping Gao, 2018. "Social Sustainability Assessment across Provinces in China: An Analysis of Combining Intermediate Approach with Data Envelopment Analysis (DEA) Window Analysis," Sustainability, MDPI, Open Access Journal, vol. 10(3), pages 1-24, March.
    10. Sueyoshi, Toshiyuki & Goto, Mika, 2017. "Measurement of returns to scale on large photovoltaic power stations in the United States and Germany," Energy Economics, Elsevier, vol. 64(C), pages 306-320.
    11. Sueyoshi, Toshiyuki & Yuan, Yan & Li, Aijun & Wang, Daoping, 2017. "Methodological comparison among radial, non-radial and intermediate approaches for DEA environmental assessment," Energy Economics, Elsevier, vol. 67(C), pages 439-453.
    12. Sueyoshi, Toshiyuki & Wang, Derek, 2017. "Measuring scale efficiency and returns to scale on large commercial rooftop photovoltaic systems in California," Energy Economics, Elsevier, vol. 65(C), pages 389-398.
    13. Zhou, Haibo & Yang, Yi & Chen, Yao & Zhu, Joe, 2018. "Data envelopment analysis application in sustainability: The origins, development and future directions," European Journal of Operational Research, Elsevier, vol. 264(1), pages 1-16.
    14. Halkos, George & Bampatsou, Christina, 2016. "Investigating the effect of efficiency and technical changes on productivity," MPRA Paper 76287, University Library of Munich, Germany.
    15. Zurano-Cervelló, Patricia & Pozo, Carlos & Mateo-Sanz, Josep María & Jiménez, Laureano & Guillén-Gosálbez, Gonzalo, 2019. "Sustainability efficiency assessment of the electricity mix of the 28 EU member countries combining data envelopment analysis and optimized projections," Energy Policy, Elsevier, vol. 134(C).

    More about this item

    Keywords

    DEA environmental assessment; Marginal rate of transformation; Rate of substitution;

    JEL classification:

    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming
    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth

    Statistics

    Access and download statistics

    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:eneeco:v:56:y:2016:i:c:p:270-287. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Haili He). General contact details of provider: http://www.elsevier.com/locate/eneco .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.