Regional sustainability efficiency index in Europe: an additive two-stage DEA approach

In this paper we apply a relational additive two-stage data envelopment analysis model in order to create sustainability efficiency indices for European regions. The sustainability efficiency indices are decomposed into production efficiency and eco-efficiency indicators in the first and the second stage respectively. The production efficiency is defined as the ratio of the financial output over the inputs and the eco-efficiency is defined as the ratio of the bad output over the financial output which serves as an intermediate variable. We treat the heterogeneity among countries using a metafrontier framework. The results reveal inequalities among the examined regions for the eco-efficiency stage.

[1]  Osman Zaim,et al.  Environmental efficiency in carbon dioxide emissions in the OECD: A non-parametric approach , 2000 .

[2]  Ramakrishnan Ramanathan,et al.  A multi-factor efficiency perspective to the relationships among world GDP, energy consumption and carbon dioxide emissions , 2006 .

[3]  Timo Kuosmanen,et al.  Duality of weakly disposable technology , 2011 .

[4]  W. Poganietz,et al.  Economic-environmental monitoring indicators for European countries: A disaggregated sector-based approach for monitoring eco-efficiency , 2011 .

[5]  P. Struik,et al.  Measuring agricultural sustainability in terms of efficiency: the case of Dutch sugar beet growers. , 2002, Journal of environmental management.

[6]  Nickolaos G. Tzeremes,et al.  A unified classification of two-stage DEA models , 2014 .

[7]  Chiang Kao,et al.  Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan , 2008, Eur. J. Oper. Res..

[8]  Ning Zhang,et al.  Energy efficiency, CO2 emission performance and technology gaps in fossil fuel electricity generation in Korea: A meta-frontier non-radial directional distance functionanalysis , 2013 .

[9]  C. A. Knox Lovell,et al.  Environmental efficiency with multiple environmentally detrimental variables; estimated with SFA and DEA , 2000, Eur. J. Oper. Res..

[10]  Herbert F. Lewis,et al.  Two-Stage DEA: An Application to Major League Baseball , 2003 .

[11]  L. Seiford,et al.  Profitability and Marketability of the Top 55 U.S. Commercial Banks , 1999 .

[12]  Surender Kumar,et al.  Measurement of environmental efficiency and productivity: a cross-country analysis , 2009, Environment and Development Economics.

[13]  Shunsuke Managi,et al.  Modal choice between air and rail: a social efficiency benchmarking analysis that considers CO2 emissions , 2011 .

[14]  Andrea Lenschow,et al.  Coping with Europe : the impact of British and German administrations on the implementation of EU environmental policy , 1998 .

[15]  F. Hernández-Sancho,et al.  Directional distance functions and environmental regulation , 2005 .

[16]  Rolf Färe,et al.  Directional distance functions and slacks-based measures of efficiency , 2010, Eur. J. Oper. Res..

[17]  C. I. Jones,et al.  Why Do Some Countries Produce so Much More Output Per Worker than Others? , 1998 .

[18]  Panagiotis D. Zervopoulos,et al.  Estimating the technical efficiency of health care systems: A cross-country comparison using the directional distance function , 2014, Eur. J. Oper. Res..

[19]  Christopher J. O'Donnell,et al.  Metafrontier Functions for the Study of Inter-regional Productivity Differences , 2003 .

[20]  Sabine Himmel.  Intertemporal Production Frontiers With Dynamic Dea , 2016 .

[21]  J. Pastor,et al.  Measuring macroeconomic performance in the OECD: A comparison of European and non-European countries , 1995 .

[22]  Chiang Kao,et al.  Efficiency decomposition in network data envelopment analysis: A relational model , 2009, Eur. J. Oper. Res..

[23]  Jie Wu,et al.  Efficiency measures of the Chinese commercial banking system using an additive two-stage DEA , 2014 .

[24]  Osman Zaim,et al.  Measuring environmental performance of state manufacturing through changes in pollution intensities: a DEA framework , 2004 .

[25]  Timo Kuosmanen,et al.  Weak Disposability in Nonparametric Production Analysis: Reply to Färe and Grosskopf , 2009 .

[26]  Biresh K. Sahoo,et al.  Radial and non-radial decompositions of Luenberger productivity indicator with an illustrative application , 2011 .

[27]  Lawrence M. Seiford,et al.  A response to comments on modeling undesirable factors in efficiency evaluation , 2005, Eur. J. Oper. Res..

[28]  Joe Zhu,et al.  Network DEA: Additive efficiency decomposition , 2010, Eur. J. Oper. Res..

[29]  Gjalt Huppes,et al.  Eco‐efficiency and Its xsTerminology , 2005 .

[30]  Joe Zhu,et al.  Additive efficiency decomposition in two-stage DEA , 2009, Eur. J. Oper. Res..

[31]  Timo Kuosmanen,et al.  Measuring Eco‐efficiency of Production with Data Envelopment Analysis , 2005 .

[32]  Joe Zhu,et al.  DEA model with shared resources and efficiency decomposition , 2010, Eur. J. Oper. Res..

[33]  Rolf Färe,et al.  Nonparametric Productivity Analysis with Undesirable Outputs: Comment , 2003 .

[34]  Lawrence M. Seiford,et al.  Modeling undesirable factors in efficiency evaluation , 2002, Eur. J. Oper. Res..

[35]  Joe Zhu,et al.  Measuring performance of two-stage network structures by DEA: A review and future perspective , 2010 .

[36]  K. Rennings.  Redefining innovation -- eco-innovation research and the contribution from ecological economics , 2000 .

[37]  K. Tsekouras,et al.  Are cooperatives the weakest link in European banking? A non-parametric metafrontier approach , 2010 .

[38]  Wen-Min Lu,et al.  A closer look at the economic-environmental disparities for regional development in China , 2007, Eur. J. Oper. Res..

[39]  G. Brundtland,et al.  Our common future , 1987 .

[40]  José Luis Zofío,et al.  Environmental efficiency and regulatory standards: the case of CO2 emissions from OECD industries , 2001 .

[41]  S. Managi,et al.  The technical efficiency of the Japanese banks : non-radial directional performance measurement with undesirable output , 2012 .

[42]  P. Bosch,et al.  Climate change 2007 - mitigation of climate change , 2007 .

[43]  J. Seppälä,et al.  Regional eco-efficiency indicators – a participatory approach , 2006 .

[44]  Joe Zhu,et al.  DEA models for supply chain efficiency evaluation , 2006, Ann. Oper. Res..

[45]  Osman Zaim,et al.  A Kuznets Curve in Environmental Efficiency: An Application on OECD Countries , 2000 .

[46]  P. Zhou,et al.  Efficiency and abatement costs of energy-related CO2 emissions in China: A slacks-based efficiency measure , 2012 .

[47]  Hui Wang,et al.  Energy and CO2 emission performance in electricity generation: A non-radial directional distance function approach , 2012, Eur. J. Oper. Res..

[48]  Joe Zhu,et al.  Measuring Information Technology's Indirect Impact on Firm Performance , 2004, Inf. Technol. Manag..

[49]  Alfons Oude Lansink,et al.  The effect of heating technologies on CO(2) and energy efficiency of Dutch greenhouse firms. , 2003, Journal of environmental management.

[50]  Christoph Knill,et al.  Causes and conditions of cross-national policy convergence , 2005 .

[51]  Joe Zhu,et al.  DEA models for two‐stage processes: Game approach and efficiency decomposition , 2008 .

[52]  Timo Kuosmanen.  Weak Disposability in Nonparametric Production Analysis with Undesirable Outputs , 2005 .

[53]  A. Hailu,et al.  Non‐Parametric Productivity Analysis with Undesirable Outputs: An Application to the Canadian Pulp and Paper Industry , 2001 .

[54]  Massimiliano Mazzanti,et al.  Waste Dynamics, Country Heterogeneity and European Environmental Policy Effectiveness , 2012 .

[55]  Hamid Noori,et al.  A new methodology for evaluating sustainable product design performance with two-stage network data envelopment analysis , 2012, Eur. J. Oper. Res..

[56]  F. J. Arcelus,et al.  Productivity differences across OECD countries in the presence of environmental constraints , 2005, J. Oper. Res. Soc..

[57]  Atsuyuki Ohyama,et al.  Using real options theory to a country’s environmental policy: considering the economic size and growth , 2009, Oper. Res..

[58]  C.A.K. Lovell,et al.  Multilateral Productivity Comparisons When Some Outputs are Undesirable: A Nonparametric Approach , 1989 .

[59]  Konstantinos Kounetas,et al.  Efficiency decompositions for heterogeneous technologies , 2009, Eur. J. Oper. Res..

[60]  Rolf Färe,et al.  Modeling undesirable factors in efficiency evaluation: Comment , 2004, Eur. J. Oper. Res..

[61]  William L. Weber,et al.  A directional slacks-based measure of technical inefficiency , 2009 .

[62]  G. Battese,et al.  Metafrontier frameworks for the study of firm-level efficiencies and technology ratios , 2008 .

[63]  Atakelty Hailu,et al.  Nonparametric Productivity Analysis with Undesirable Outputs: Reply , 2003 .

[64]  M. Khanna,et al.  Measurement of Environmental Efficiency and Productivity: A Cross Country Analysis , 2005 .

[65]  Stanley Zionts,et al.  Use of Data Envelopment Analysis in assessing Information Technology impact on firm performance , 1997, Ann. Oper. Res..

[66]  G. Battese,et al.  A Metafrontier Production Function for Estimation of Technical Efficiencies and Technology Gaps for Firms Operating Under Different Technologies , 2004 .

[67]  Jiahai Yuan,et al.  Total-factor energy efficiency in developing countries , 2011 .

[68]  Matti Melanen,et al.  How Can the Eco‐efficiency of a Region be Measured and Monitored? , 2005 .

[69]  Rolf Färe,et al.  A Comment on Weak Disposability in Nonparametric Production Analysis , 2009 .