An AIC-based approach to identify the most influential variables in eco-efficiency evaluation

Abstract Eco-efficiency evaluation has received increasing public attention and plays an important role in the business community. In many practical applications, the decision-makers are interested in which eco-variables take a significant effect on eco-efficiency evaluation and how to select proper variables in situations where there are a large number of alternative variables. This paper approaches these problems based upon the Akaike information criteria (AIC) rule. The proposed approach can investigate all possible variable sets and identify the most influential variables. A real data set about 30 industrial systems in China has been used to illustrate the proposed approach. We find the most influential undesirable output in determining provincial industrial systems' eco-efficiency of China is Sulphur dioxide emission. This result is robust under different eco-efficiency measurements. It is of great significance for decision-makers to achieve eco-efficiency improvement.

[1]  Francesc Hernández-Sancho,et al.  Identification and correction of congestion in wastewater treatment plants in the Community of Valencia, Spain , 2020, Environmental Science and Pollution Research.

[2]  Yan Luo,et al.  Environmental performance analysis of Chinese industry from a slacks-based perspective , 2015, Ann. Oper. Res..

[3]  Yongjun Li,et al.  A Shapley value index on the importance of variables in DEA models , 2010, Expert Syst. Appl..

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

[5]  H. Akaike A new look at the statistical model identification , 1974 .

[6]  Qingyuan Zhu,et al.  Measuring energy and environmental efficiency of transportation systems in China based on a parallel DEA approach , 2016 .

[7]  Zhongsheng Hua,et al.  Eco-efficiency analysis of paper mills along the Huai River: An extended DEA approach , 2007 .

[8]  Weihua Zeng,et al.  Regional environmental efficiency in China: Analysis based on a regional slack-based measure with environmental undesirable outputs , 2016 .

[9]  Qingyuan Zhu,et al.  Analysis of China’s Regional Eco-efficiency: A DEA Two-stage Network Approach with Equitable Efficiency Decomposition , 2019 .

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

[11]  Chao Feng,et al.  Evaluating the eco-efficiency of China's industrial sectors: A two-stage network data envelopment analysis. , 2019, Journal of environmental management.

[12]  Ke Wang,et al.  A comparative analysis of China’s regional energy and emission performance: Which is the better way to deal with undesirable outputs? , 2012 .

[13]  Laura Carosi,et al.  Water pollution in wastewater treatment plants: An efficiency analysis with undesirable output , 2017, Eur. J. Oper. Res..

[14]  J. Bi,et al.  Eco-efficiency analysis of industrial system in China: A data envelopment analysis approach , 2008 .

[15]  Liang Chen,et al.  Environmental efficiency analysis of China's regional industry: a data envelopment analysis (DEA) based approach , 2017 .

[16]  Jie Wu,et al.  Total-factor energy efficiency evaluation of Chinese industry by using two-stage DEA model with shared inputs , 2017, Ann. Oper. Res..

[17]  Jesús T. Pastor,et al.  A Statistical Test for Nested Radial Dea Models , 2002, Oper. Res..

[18]  Mercedes Landete,et al.  Robust DEA efficiency scores: A probabilistic/combinatorial approach , 2017, Expert Syst. Appl..

[19]  Rolf Färe,et al.  Productivity and Undesirable Outputs: A Directional Distance Function Approach , 1995 .

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

[21]  Jie Wu,et al.  Two-Stage Network Structures with Undesirable Intermediate Outputs Reused: A DEA Based Approach , 2015 .

[22]  Hao Ding,et al.  Eco-efficiency measurement of industrial sectors in China: A hybrid super-efficiency DEA analysis , 2019, Journal of Cleaner Production.

[23]  Yaakov Roll,et al.  An application procedure for DEA , 1989 .

[24]  Yiwen Bian,et al.  Efficiency evaluation of Chinese regional industrial systems with undesirable factors using a two-stage slacks-based measure approach , 2015 .

[25]  R. Banker Maximum likelihood, consistency and data envelopment analysis: a statistical foundation , 1993 .

[26]  Andrew L. Johnson,et al.  Guidelines for using variable selection techniques in data envelopment analysis , 2011, Eur. J. Oper. Res..

[27]  Indrani Basak,et al.  On the use of information criteria in analytic hierarchy process , 2002, Eur. J. Oper. Res..

[28]  Ali Emrouznejad,et al.  A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016 , 2018 .

[29]  Rajiv D. Banker,et al.  Hypothesis tests using data envelopment analysis , 1996 .

[30]  Qian Zhang,et al.  AHP-based resources and environment efficiency evaluation index system construction about the west side of Taiwan Straits , 2015, Ann. Oper. Res..

[31]  Sebastián Lozano Technical and environmental efficiency of a two-stage production and abatement system , 2017, Ann. Oper. Res..

[32]  Yongjun Li,et al.  Variable selection in data envelopment analysis via Akaike’s information criteria , 2017, Ann. Oper. Res..

[33]  Ali Emrouznejad,et al.  Performance evaluation of thermal power plants considering CO2 emission: A multistage PCA, clustering, game theory and data envelopment analysis , 2019, Journal of Cleaner Production.

[34]  Nicole Adler,et al.  Improving discrimination in data envelopment analysis: PCA-DEA or variable reduction , 2010, Eur. J. Oper. Res..

[35]  Yongjun Li,et al.  Modelling undesirable outputs in eco-efficiency evaluation to paper mills along the Huai River based on Shannon DEA , 2011 .

[36]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[37]  Reza Kiani Mavi,et al.  Joint analysis of eco-efficiency and eco-innovation with common weights in two-stage network DEA: A big data approach , 2018, Technological Forecasting and Social Change.

[38]  Yongjun Li,et al.  A data-driven prediction approach for sports team performance and its application to National Basketball Association , 2019 .

[39]  H. Bozdogan Model selection and Akaike's Information Criterion (AIC): The general theory and its analytical extensions , 1987 .

[40]  Larry Jenkins,et al.  A multivariate statistical approach to reducing the number of variables in data envelopment analysis , 2003, Eur. J. Oper. Res..

[41]  Jiasen Sun,et al.  DEA cross-efficiency evaluation considering undesirable output and ranking priority: a case study of eco-efficiency analysis of coal-fired power plants , 2017 .

[42]  Abraham Charnes,et al.  Measuring the efficiency of decision making units , 1978 .

[43]  George Katharakis,et al.  An empirical study of comparing DEA and SFA methods to measure hospital units' efficiency , 2014 .

[44]  Jirawan Jitthavech,et al.  Variable elimination in nested DEA models: a statistical approach , 2016 .

[45]  Rowland D. Burdon,et al.  Genotype-environment interaction involving site differences in expression of genetic variation along with genotypic rank changes: simulations of economic significance , 2018, Tree Genetics & Genomes.

[46]  Mette Asmild,et al.  Theoretical perspectives of trade-off analysis using DEA , 2006 .

[47]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

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

[49]  Chien-Ming Chen,et al.  Measuring Eco-Inefficiency: A New Frontier Approach , 2011, Oper. Res..

[50]  Jie Wu,et al.  A comprehensive analysis of China's regional energy saving and emission reduction efficiency: From production and treatment perspectives , 2015 .

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

[52]  Reza Farzipoor Saen,et al.  Measuring eco-efficiency based on green indicators and potentials in energy saving and undesirable output abatement , 2015 .

[53]  A. Raftery Bayesian Model Selection in Social Research , 1995 .

[54]  J. Chilingerian Evaluating physician efficiency in hospitals : a multivariate analysis of best practices , 1995 .

[55]  Janet M. Wagner,et al.  Stepwise selection of variables in data envelopment analysis: Procedures and managerial perspectives , 2007, Eur. J. Oper. Res..

[56]  Seong-Jong Joo,et al.  Benchmarking with data envelopment analysis: a return on asset perspective , 2011 .

[57]  Timo Kuosmanen,et al.  Best-practice benchmarking using clustering methods: Application to energy regulation , 2014, Omega.

[58]  Ali Emrouznejad,et al.  Eco-efficiency measurement and material balance principle: an application in power plants Malmquist Luenberger Index , 2017, Ann. Oper. Res..

[59]  María Molinos-Senante,et al.  Analysing the efficiency of wastewater treatment plants: The problem of the definition of desirable outputs and its solution , 2020 .

[60]  George Emm. Halkos,et al.  A conditional directional distance function approach for measuring regional environmental efficiency: Evidence from UK regions , 2013, Eur. J. Oper. Res..

[61]  Emmanuel Thanassoulis,et al.  Separating Market Efficiency from Profitability and its Implications for Planning , 1995 .

[62]  Pekka J. Korhonen,et al.  ECO-EFFICIENCY ANALYSIS OF POWER PLANTS: AN EXTENSION OF DATA ENVELOPMENT ANALYSIS , 2000 .

[63]  Giorgia Oggioni,et al.  Eco-efficiency of the world cement industry: A data envelopment analysis , 2011 .

[64]  Andrés J. Picazo-Tadeo,et al.  Assessing eco-efficiency with directional distance functions , 2012, Eur. J. Oper. Res..