Measuring and Improving Eco-efficiency

As energy and environmental issues continue to generate social concerns, firms are pushed to alleviate their energy and environmental externalities from economic activities and network operations while pursuing economic interests. A comprehensive performance evaluation involving both productive and environmental factors is therefore desired by firms to aggregate multiple aspects into condensed information to facilitate decision-making. In this study, we develop a new eco-efficiency measure for energy-intensive economic activities, which integrates productive and environmental factors in the presence of undesirable outputs. The proposed measure has the following merits in comparison with a majority of existing ones that have been widely used in energy- and environment-related areas. It guarantees Pareto-Koopmans eco-efficiency because only non-dominated entities are measured as eco-efficient. It also captures any actual fluctuations in inputs, desirable outputs, and undesirable outputs, as it proves to be strongly monotonic in all input and output dimensions. It has a positive significance for promoting undesirable output abatement, because it stimulates scale improvement for entities in pursuit of economies of scale. It also provides great flexibility of improvement for individual inputs and outputs to achieve eco-efficiency. The marginal abatement costs of undesirable outputs are estimated to facilitate managing the potential tradeoff between undesirable output abatement and desirable output production. We also extend it to weighted eco-efficiency measures for specific situations wherever necessary. Its practicability and comparison with existing models are illustrated by an empirical example.

[1]  Jesús T. Pastor,et al.  An enhanced DEA Russell graph efficiency measure , 1999, Eur. J. Oper. Res..

[2]  R. Färe Derivation of Shadow Prices for Undesirable Outputs: A Distance Function Approach , 1993 .

[3]  William L. Weber,et al.  Shadow prices and pollution costs in U.S. agriculture , 2006 .

[4]  R. Shephard Cost and production functions , 1953 .

[5]  Magali A. Delmas,et al.  IS THE TAIL WAGGING THE DOG? AN EMPIRICAL ANALYSIS OF CORPORATE CARBON FOOTPRINTS AND FINANCIAL PERFORMANCE , 2011 .

[6]  R. Shepherd Theory of cost and production functions , 1970 .

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

[8]  A. U.S.,et al.  Measuring the efficiency of decision making units , 2003 .

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

[10]  Benjamin Hampf,et al.  Arbeitspapiere Der Volkswirtschaftlichen Fachgebiete Der Tu Darmstadt Carbon Dioxide Emission Standards for U.s. Power Plants: an Efficiency Analysis Perspective , 2022 .

[11]  Daniel Tyteca,et al.  On the Measurement of the Environmental Performance of Firms— A Literature Review and a Productive Efficiency Perspective , 1996 .

[12]  F. Schmidt,et al.  Corporate Social and Financial Performance: A Meta-Analysis , 2003 .

[13]  Boaz Golany,et al.  Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions , 1985 .

[14]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

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

[16]  Rolf Färe,et al.  Measuring the technical efficiency of production , 1978 .

[17]  R. Färe,et al.  The measurement of efficiency of production , 1985 .

[18]  Magali A. Delmas,et al.  Measuring corporate environmental performance: the trade-offs of sustainability ratings , 2010 .

[19]  W. Cooper,et al.  Validation and generalization of DEA and its uses , 1994 .

[20]  Finn R. Førsund,et al.  Good Modelling of Bad Outputs: Pollution and Multiple-Output Production , 2009 .

[21]  Russell G. Thompson,et al.  The role of multiplier bounds in efficiency analysis with application to Kansas farming , 1990 .

[22]  Kaoru Tone,et al.  A slacks-based measure of super-efficiency in data envelopment analysis , 2001, Eur. J. Oper. Res..

[23]  S. Zionts,et al.  Programming with linear fractional functionals , 1968 .

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

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

[26]  Peng Zhou,et al.  Constructing meaningful environmental indices: A nonparametric frontier approach , 2017 .

[27]  W. Cooper,et al.  RAM: A Range Adjusted Measure of Inefficiency for Use with Additive Models, and Relations to Other Models and Measures in DEA , 1999 .

[28]  L. Seiford,et al.  Context-dependent data envelopment analysis—Measuring attractiveness and progress , 2003 .

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

[30]  Sushama Murty,et al.  On modeling pollution-generating technologies , 2012 .

[31]  Xander Olsthoorn,et al.  Environmental Indicators for Business: A Review of the Literature and Standardisation Methods , 2001 .

[32]  Kaoru Tone,et al.  A slacks-based measure of efficiency in data envelopment analysis , 1997, Eur. J. Oper. Res..

[33]  D. Luenberger Benefit functions and duality , 1992 .

[34]  D. Primont,et al.  Multi-Output Production and Duality: Theory and Applications , 1994 .

[35]  Andrew King,et al.  Exploring the Locus of Profitable Pollution Reduction , 2002, Manag. Sci..

[36]  G. Debreu The Coefficient of Resource Utilization , 1951 .

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

[38]  R. Färe,et al.  Network Representations of Pollution-Generating Technologies , 2018, International Review of Environmental and Resource Economics.

[39]  G. Rebitzera,et al.  Life cycle assessment Part 1 : Framework , goal and scope definition , inventory analysis , and applications , 2004 .

[40]  Zhongsheng Hua,et al.  DEA with Undesirable Factors , 2007 .

[41]  W. Briec A Graph-Type Extension of Farrell Technical Efficiency Measure , 1997 .

[42]  R. Färe,et al.  Benefit and Distance Functions , 1996 .

[43]  M. Farrell The Measurement of Productive Efficiency , 1957 .

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

[45]  Juliane Junker,et al.  The Visible Hand The Managerial Revolution In American Business , 2016 .

[46]  Finn R. Førsund,et al.  Multi-equation modelling of desirable and undesirable outputs satisfying the materials balance , 2018 .

[47]  W. Cooper,et al.  Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software , 1999 .

[48]  Peng Zhou,et al.  A non-radial DEA approach to measuring environmental performance , 2007, Eur. J. Oper. Res..

[49]  Katta G. Murty,et al.  Nonlinear Programming Theory and Algorithms , 2007, Technometrics.

[50]  R. Robert Russell,et al.  Technological inefficiency indexes: a binary taxonomy and a generic theorem , 2017 .

[51]  Jana Reinhard,et al.  New Directions Efficiency And Productivity , 2016 .

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

[53]  Laure Latruffe,et al.  Modelling pollution-generating technologies in performance benchmarking: Recent developments, limits and future prospects in the nonparametric framework , 2016, Eur. J. Oper. Res..

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

[55]  A. Stefan,et al.  Does It Pay to Be Green? A Systematic Overview , 2008 .

[56]  B. W. Ang,et al.  Slacks-based efficiency measures for modeling environmental performance , 2006 .

[57]  Benjamin Hampf,et al.  Separating environmental efficiency into production and abatement efficiency: a nonparametric model with application to US power plants , 2014 .

[58]  P. S. Dharmapala,et al.  Linked-cone DEA profit ratios and technical efficiency with application to Illinois coal mines , 1995 .

[59]  Robert O. Brinkerhoff,et al.  Productivity Measurement: A Guide for Managers and Evaluators , 1989 .

[60]  Jeong-Dong Lee,et al.  Estimation of the shadow prices of pollutants with production/environment inefficiency taken into account: a nonparametric directional distance function approach. , 2002, Journal of environmental management.

[61]  William L. Weber,et al.  Characteristics of a Polluting Technology: Theory and Practice , 2002 .

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