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Evaluating provincial eco-efficiency in China: an improved network data envelopment analysis model with undesirable output

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Abstract

In this study, an improved matrix-type network data envelopment analysis (NDEA) model with undesirable output was developed to evaluate the eco-efficiency of China’s 30 provinces. The proposed model considered three linked but independent subsystems of the economy–society–environment cyclic system. Additionally, to allocate the weights of the NDEA model among the three subsystems (environment, economy, and society) of the eco-environment, a new relative reduction of the input-based method was proposed. The results show that, from 2003 to 2016, the average eco-efficiency of China’s 30 provinces was low, ranging in [0.59, 0.73]. Qinghai and Hainan ranked first and second, respectively, in average eco-efficiencies, while both Shaanxi and Xinjiang had the lowest average eco-efficiencies. Affected by the low social subsystem efficiency, the eco-efficiency of 18 provinces decreased, but the range of the decrease was smaller than that of the increase in 11 other provinces in which the eco-efficiency improved. The average efficiency of the environmental subsystem is the highest among the three subsystems benefiting from reducing the emissions of “three industrial wastes,” while economic subsystem owns the lowest average efficiency due to the input redundancy of total fixed assets and energy consumption. Compared with variables’ projection, for most provinces, the undesirable output of the three industrial wastes should be reduced by more than 88.0%, while the positive outputs of atmospheric quality and per capita years of education should be increased by at least 61.0%.

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  1. http://www.gov.cn/premier/2019-03/16/content_5374314.htm

References

  • Azad MAS, Ancev T (2014) Measuring environmental efficiency of agricultural water use: a Luenberger environmental indicator. J Environ Manag 145:314–320

    Google Scholar 

  • Bai Y, Deng X, Jiang S, Zhang Q, Wang Z (2018) Exploring the relationship between urbanization and urban eco-efficiency: evidence from prefecture-level cities in China. J Clean Prod 195:1487–1496

    Google Scholar 

  • Banker RD, Charnes A, Cooper WW (1984) Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manag Sci 30:1078–1092

    Google Scholar 

  • Beltrán-Esteve M, Reig-Martínez E, Estruch-Guitart V (2017) Assessing eco-efficiency: a metafrontier directional distance function approach using life cycle analysis. Environ Impact Assess Rev 63:116–127

    Google Scholar 

  • Bian Y, Yang F (2010) Resource and environment efficiency analysis of provinces in China: a DEA approach based on Shannon’s entropy. Energy Policy 38:1909–1917

    Google Scholar 

  • Bing Z, Bi J, Fan Z, Yuan Z, Ge J (2008) Eco-efficiency analysis of industrial system in China: a data envelopment analysis approach. Ecol Econ 68:306–316

    Google Scholar 

  • Bogetoft P (1996) DEA on relaxed convexity assumptions. Manag Sci 42:457–465

    Google Scholar 

  • Charnes A, Cooper WW, Rhodes E (1979) Measuring the efficiency of decision making units. Eur J Oper Res 2:429–444

    Google Scholar 

  • Chen P-C, Chang C-C, Yu M-M, Hsu S-H (2012) Performance measurement for incineration plants using multi-activity network data envelopment analysis: the case of Taiwan. J Environ Manag 93:95–103

    Google Scholar 

  • Chen J, Song M, Long X (2015) Evaluation of environmental efficiency in China using data envelopment analysis. Ecol Indic 52:577–583

    Google Scholar 

  • Chen N, Xu L, Chen Z (2017) Environmental efficiency analysis of the Yangtze River economic zone using super efficiency data envelopment analysis (SEDEA) and tobit models. Energy 134:659–671

    Google Scholar 

  • Cheng Y, Yang YS, Guo CQ (2012) Network data envelopment analysis efficiency measure to matrix-type organization with an application in input-output tables. Afr J Bus Manag 6:6997–7004

    Google Scholar 

  • Cooper WW, Seiford LM, Tone K (2001) Data envelopment analysis: a comprehensive text with models, applications, references and DEA-solver software.Interfaces 31: 116-118

  • CSC (2010) Several opinions on promoting the construction and development of Hainan international tourism island

  • Fan Y, Bai B, Qiao Q, Kang P, Zhang Y, Guo J (2017) Study on eco-efficiency of industrial parks in China based on data envelopment analysis. J Environ Manag 192:107–115

    Google Scholar 

  • Färe R (1991) Measuring Farrell efficiency for a firm with intermediate inputs. Acad Econ Pap 19:329–340

    Google Scholar 

  • Färe R, Grosskopf S (2000) Network DEA. Socio Econ Plan Sci 34:35–49

    Google Scholar 

  • Farrell MJ (1957) The measurement of productive efficiency. J R Stat Soc A 120:253–281

    Google Scholar 

  • Gómez T, Gémar G, Molinos-Senante M, Sala-Garrido R, Caballero R (2018) Measuring the eco-efficiency of wastewater treatment plants under data uncertainty. J Environ Manag 226:484–492

    Google Scholar 

  • Hailu A, Veeman TS (2001) Non-parametric productivity analysis with undesirable outputs: an application to the Canadian pulp and paper industry. Am J Agric Econ 83:605–616

    Google Scholar 

  • Halkos GE, Polemis ML (2018) The impact of economic growth on environmental efficiency of the electricity sector: a hybrid window DEA methodology for the USA. J Environ Manag 211:334–346

    Google Scholar 

  • Han Y, Long C, Geng Z, Zhang K (2018) Carbon emission analysis and evaluation of industrial departments in China: an improved environmental DEA cross model based on information entropy. J Environ Manag 205:298–307

    Google Scholar 

  • Hatami-Marbini A, Saati S (2018) Efficiency evaluation in two-stage data envelopment analysis under a fuzzy environment: a common-weights approach. Appl Soft Comput 72:156–165

    Google Scholar 

  • He F, Zhang Q, Lei J, Fu W, Xu X (2013) Energy efficiency and productivity change of China’s iron and steel industry: accounting for undesirable outputs. Energy Policy 54:204–213

    Google Scholar 

  • Hernández-Chover V, Bellver-Domingo Á, Hernández-Sancho F (2018) Efficiency of wastewater treatment facilities: the influence of scale economies. J Environ Manag 228:77–84

    Google Scholar 

  • Huang D, Xu J, Zhang S (2012) Valuing the health risks of particulate air pollution in the Pearl River Delta, China. Environ Sci Pol 15:38–47

    CAS  Google Scholar 

  • Huang J, Xia J, Yu Y, Zhang N (2018) Composite eco-efficiency indicators for China based on data envelopment analysis. Ecol Indic 85:674–697

    Google Scholar 

  • Kao C, Hwang S-N (2008) Efficiency decomposition in two-stage data envelopment analysis: an application to non-life insurance companies in Taiwan. Eur J Oper Res 185:418–429

    Google Scholar 

  • Korhonen PJ, Luptacik M (2004) Eco-efficiency analysis of power plants: an extension of data envelopment analysis. Eur J Oper Res 154:437–446

    Google Scholar 

  • Kuosmanen T (2005) Measurement and analysis of eco-efficiency: an economist’s perspective. J Ind Ecol 9:15–18

    Google Scholar 

  • Lewis HF, Sexton TR (2004) Network DEA: efficiency analysis of organizations with complex internal structure. Comput Oper Res 31:1365–1410

    Google Scholar 

  • Li M, Wang Q (2014) International environmental efficiency differences and their determinants. Energy 78:411–420

    Google Scholar 

  • Li Z, Ouyang X, Du K, Zhao Y (2017) Does government transparency contribute to improved eco-efficiency performance? An empirical study of 262 cities in China. Energy Policy 110:79–89

    Google Scholar 

  • Liang C, Jia G (2017) Environmental efficiency analysis of China’s regional industry: a data envelopment analysis (DEA) based approach. J Clean Prod 142:846–853

    Google Scholar 

  • Liang L, Wu J, Cook WD, Zhu J (2008) Alternative secondary goals in DEA cross-efficiency evaluation. Int J Prod Econ 113:1025–1030

    Google Scholar 

  • Lim S, Zhu J (2019) Primal-dual correspondence and frontier projections in two-stage network DEA models. Omega 83:236–248

    Google Scholar 

  • Lin T-Y (2018) Two-stage performance evaluation of domestic and foreign banks in Taiwan. Asian J Econ Model 6:191–202

    Google Scholar 

  • Lin B, Zhu J (2019) Impact of energy saving and emission reduction policy on urban sustainable development: empirical evidence from China. Appl Energy 239:12–22

    Google Scholar 

  • Lin YY, Chen PY, Chen CC (2013) Measuring the environmental efficiency of countries: a directional distance function metafrontier approach. J Environ Manag 119:134–142

    Google Scholar 

  • List JA, Gallet CA (1999) The environmental Kuznets curve: does one size fit all? Ecol Econ 31:409–423

    Google Scholar 

  • Liu X, Zhou D, Zhou P, Wang Q (2017) Dynamic carbon emission performance of Chinese airlines: a global Malmquist index analysis. J Air Transp Manag 65:99–109

    Google Scholar 

  • Maghbouli M, Amirteimoori A, Kordrostami S (2014) Two-stage network structures with undesirable outputs: a DEA based approach. Measurement 48:109–118

    Google Scholar 

  • Mehmeti A, Todorovic M, Scardigno A (2016) Assessing the eco-efficiency improvements of Sinistra Ofanto irrigation scheme. J Clean Prod 138:208–216

    Google Scholar 

  • Meng F, Su B, Thomson E, Zhou D, Zhou P (2016) Measuring China’s regional energy and carbon emission efficiency with DEA models: a survey. Appl Energy 183:1–21

    Google Scholar 

  • NEPD. Technical guidelines for the delimitation of ecological protection red line 2015

  • OECD. The economic consequences of outdoor air pollution. OECD Publishing Paris 2016

  • Paatero P, Tapper U (1994) Positive matrix factorization: a non-negative factor model with optimal utilization of error estimates of data values. Environmetrics 5:111–126

    Google Scholar 

  • Reap J, Roman F, Duncan S, Bras B (2008) A survey of unresolved problems in life cycle assessment. Int J Life Cycle Assess 13:374

    Google Scholar 

  • Ren S, Li X, Yuan B, Li D, Chen X (2018) The effects of three types of environmental regulation on eco-efficiency: a cross-region analysis in China. J Clean Prod 173:245–255

    Google Scholar 

  • Sarkis J (2000) Ecoefficiency: how data envelopment analysis can be used by managers and researchers. Proceedings of Environmentally Conscious Manufacturing:194–203.  Boston, MA, United States.

  • Schaltegger S, Sturm A (1990) Ecological rationality: approaches to design of ecology-oriented management instruments. Die Unternehmung 4:273–290

    Google Scholar 

  • Song M, Wang J (2018) Environmental efficiency evaluation of thermal power generation in China based on a slack-based endogenous directional distance function model. Energy 161:325–336

    Google Scholar 

  • Song M, Song Y, An Q, Yu H (2013) Review of environmental efficiency and its influencing factors in China: 1998-2009. Renew Sust Energ Rev 20:8–14

    Google Scholar 

  • Song M, Peng J, Wang J, Zhao J (2018) Environmental efficiency and economic growth of China: a ray slack-based model analysis. Eur J Oper Res 269:51–63

    Google Scholar 

  • Song M, Wang S, Lei L, Zhou L (2019) Environmental efficiency and policy change in China: a new meta-frontier non-radial angle efficiency evaluation approach. Process Saf Environ Prot 121:281–289

    CAS  Google Scholar 

  • Tone K (2004) Dealing with undesirable outputs in DEA: a slacks-based measure (SBM) approach. Oper Res Soc Jpn 1:44-45.

  • Tone K, Tsutsui M (2009) Network DEA: a slacks-based measure approach. Eur J Oper Res 197:243–252

    Google Scholar 

  • Tone K, Tsutsui M (2014) Dynamic DEA with network structure: a slacks-based measure approach. Omega 42:124–131

    Google Scholar 

  • Tsutsui M, Goto M (2009) A multi-division efficiency evaluation of US electric power companies using a weighted slacks-based measure. Socio Econ Plan Sci 43:201–208

    Google Scholar 

  • Ueda T, Amatatsu H (2010) Proposition of new network DEA models based on the unified DEA model. The Ninth International Symposium on Operations Research and Its Applications (ISORA’10) 470–482

  • Wang Y-M, Chin K-S (2010) Some alternative models for DEA cross-efficiency evaluation. Int J Prod Econ 128:332–338

    Google Scholar 

  • Wang K, Lu B, Wei YM (2013a) China’s regional energy and environmental efficiency: a range-adjusted measure based analysis. Appl Energy 112:1403–1415

    Google Scholar 

  • Wang K, Yu S, Zhang W (2013b) China’s regional energy and environmental efficiency: a DEA window analysis based dynamic evaluation. Math Comput Model 58:1117–1127

    CAS  Google Scholar 

  • Wang K, Zhang J, Wei Y-M (2017) Operational and environmental performance in China’s thermal power industry: taking an effectiveness measure as complement to an efficiency measure. J Environ Manag 192:254–270

    Google Scholar 

  • Wang K, Wei YM, Huang Z (2018a) Environmental efficiency and abatement efficiency measurements of China’s thermal power industry: a data envelopment analysis based materials balance approach. Eur J Oper Res 269:35–50

    Google Scholar 

  • Wang Q, Hang Y, Hu JL, Chiu CR (2018b) An alternative metafrontier framework for measuring the heterogeneity of technology. Nav Res Logist 65:427–445

    Google Scholar 

  • Woo C, Chung Y, Chun D, Seo H, Hong S (2015) The static and dynamic environmental efficiency of renewable energy: a Malmquist index analysis of OECD countries. Renew Sustain Energy Rev 47:367–376

    Google Scholar 

  • Wu J, Wu Z, Hollaender R (2012) The application of positive matrix factorization (PMF) to eco-efficiency analysis. J Environ Manag 98:11–14

    Google Scholar 

  • Wu J, Yin P, Sun J, Chu J, Liang L (2016) Evaluating the environmental efficiency of a two-stage system with undesired outputs by a DEA approach: an interest preference perspective. Eur J Oper Res 254:1047–1062

    Google Scholar 

  • Wu Y, Ke Y, Xu C, Xiao X, Hu Y (2018) Eco-efficiency measurement of coal-fired power plants in China using super efficiency data envelopment analysis. Sustain Cities Soc 36:157–168

    Google Scholar 

  • Xia Y, Li Y, Guan D, Tinoco DM, Xia J, Yan Z, Yang J, Liu Q, Huo H (2018) Assessment of the economic impacts of heat waves: a case study of Nanjing, China. J Clean Prod 171:811–819

    Google Scholar 

  • Yagi M, Fujii H, Hoang V, Managi S (2015) Environmental efficiency of energy, materials, and emissions. J Environ Manag 161:206–218

    Google Scholar 

  • Yale. 2018 Environmental performance index. Yale Center for Environmental Law & Policy, Yale University 2018

  • Yang H, Pollitt M (2009) Incorporating both undesirable outputs and uncontrollable variables into DEA: the performance of Chinese coal-fired power plants. Eur J Oper Res 197:1095–1105

    Google Scholar 

  • Yang L, Wang KL (2013) Regional differences of environmental efficiency of China’s energy utilization and environmental regulation cost based on provincial panel data and DEA method. Math Comput Model 58:1074–1083

    Google Scholar 

  • Yang L, Yang Y (2019) Evaluation of eco-efficiency in China from 1978 to 2016: based on a modified ecological footprint model. Sci Total Environ 662:581–590

    CAS  Google Scholar 

  • Yu S, Zheng S, Li X, Li L (2018) China can peak its energy-related carbon emissions before 2025: evidence from industry restructuring. Energy Econ 73:91–107

    Google Scholar 

  • Yu Y, Chong P, Li Y (2019) Do neighboring prefectures matter in promoting eco-efficiency? Empirical evidence from China. Technol Forecast Soc Chang 144:456–465

    Google Scholar 

  • Yue H, Lin L, Yantuan Y (2018a) Do urban agglomerations outperform non-agglomerations? A new perspective on exploring the eco-efficiency of Yangtze River Economic Belt in China. J Clean Prod 202:1056–1067

    Google Scholar 

  • Yue H, Lin L, Yu Y (2018b) Does urban cluster promote the increase of urban eco-efficiency? Evidence from Chinese cities. J Clean Prod 197:957–971

    Google Scholar 

  • Zhou C, Shi C, Wang S, Zhang G (2018) Estimation of eco-efficiency and its influencing factors in Guangdong province based on super-SBM and panel regression models. Ecol Indic 86:67–80

    Google Scholar 

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Funding

The study is financially supported by the National Natural Science Foundation of China (grant nos.71822403,71573236  and 31961143006 ) and Hubei Natural Science Foundation (grant no. 2019CFA089).

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Correspondence to Shiwei Yu.

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Appendix

Appendix

Table 5 Summary of environment efficiency and eco-efficiency evaluation
Table 6 Changes in input/output indicators for the 30 regions in 2014 (%)

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Yu, S., Liu, J. & Li, L. Evaluating provincial eco-efficiency in China: an improved network data envelopment analysis model with undesirable output. Environ Sci Pollut Res 27, 6886–6903 (2020). https://doi.org/10.1007/s11356-019-06958-2

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