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Efficiency analysis of China’s energy utilization system based on the robust network DEA-Malmquist productivity index with common weights

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Abstract

Improving energy utilization is of great significance for energy saving and emissions reduction, so this paper explores the efficiency of China’s energy utilization. The energy utilization in this study is considered as a two-stage network system consisting of the energy processing and conversion stage and the economic growth stage instead of regarding it as a ‘black box’ without the internal transformation like in most existing studies. Uncertainty analysis of system efficiency is necessary due to the underlying data uncertainty in production variables which is evitable, whereas the energy or environmental efficiency in academia is normally evaluated on the premise of no data uncertainties. This paper uses robust optimization to handle the data uncertainty during efficiency analysis, involves the common set of weights method to assure the comparability of static and intertemporal efficiency, and then proposes the robust network data envelopment analysis-Malmquist productivity index with common weights. The proposed method is applied to the efficiency analysis of China’s energy utilization system during 2007–2018. Results show that the efficiency of the energy utilization system decreases except for 2012–2013, and the economic growth stage efficiency reduces by 12.32%, while the energy processing and conversion stage efficiency grows by 11.93%. Technical progress is the driver of efficiency improvement for both the energy utilization system and its two stages. Besides, the sensitivity analysis shows that the proposed method is resistant to a certain degree of data disturbance compared to the deterministic model not considering uncertainty.

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References

  • Ben-Tal, A., & Nemirovski, A. (2000). Robust solutions of linear programming problems contaminated with uncertain data. Mathematical Programming, 88, 14.

    Article  Google Scholar 

  • Bertsimas, D., Gupta, V., & Kallus, N. (2017). Data-driven robust optimization. Mathematical Programming, 167, 235–292.

    Article  Google Scholar 

  • Bertsimas, D., Pachamanova, D., & Sim, M. (2004). Robust linear optimization under general norms. Operations Research Letters, 32, 510–516.

    Article  Google Scholar 

  • Bertsimas, D., & Sim, M. (2004). The price of robustness. Operations Research, 52, 19.

    Article  Google Scholar 

  • Bertsimas, D., & Sim, M. (2006). Tractable approximations to robust conic optimization problems. Mathematical Programming, 107, 5–36.

    Article  Google Scholar 

  • Bertsimas, D., & Thiele, A. (2004). A robust optimization approach to supply chain management. Integer Programming and Combinatorial Optimization, 3064, 15.

    Google Scholar 

  • BP. (2019). BP statistical review of world energy 2019, 68th edition. https://www.bp.com/en/global/corporate/energy-economics/statistical-review-of-world-energy.html

  • BP. (2020). BP statistical review of world energy 2020, 69th edition. https://www.bp.com/en/global/corporate/energy-economics/statistical-review-of-world-energy.html

  • BP. (2021). BP statistical review of world energy 2021, 70th edition. https://www.bp.com/en/global/corporate/energy-economics/statistical-review-of-world-energy.html

  • BP. (2022). BP Statistical review of world energy 2022, 71st edition. https://www.bp.com/en/global/corporate/energy-economics/statistical-review-of-world-energy.html

  • Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 14.

    Article  Google Scholar 

  • Chen, Y., Cook, W. D., & Zhu, J. (2010). Deriving the DEA frontier for two-stage processes. European Journal of Operational Research, 202, 138–142.

    Article  Google Scholar 

  • Cheng, Z., Liu, J., Li, L., & Gu, X. (2020). Research on meta-frontier total-factor energy efficiency and its spatial convergence in Chinese provinces. Energy Economics, 86, 104702.

    Article  Google Scholar 

  • Chu, J., & Zhu, J. (2021). Production scale-based two-stage network data envelopment analysis. European Journal of Operational Research, 294, 283–294.

    Article  Google Scholar 

  • Ding, L. L., Lei, L., Wang, L., & Zhang, L. F. (2020). Assessing industrial circular economy performance and its dynamic evolution: An extended Malmquist index based on cooperative game network DEA. Science of the Total Environment, 731, 139001.

    Article  CAS  Google Scholar 

  • Dong, X., Zhang, X., & Zeng, S. (2017). Measuring and explaining eco-efficiencies of wastewater treatment plants in China: An uncertainty analysis perspective. Water Research, 112, 195–207.

    Article  CAS  Google Scholar 

  • Färe, R., Grosskopf, S., & Lovell, C. A. K. (1992). Indirect productivity measurement. Journal of Productivity Analysis, 2, 16.

    Article  Google Scholar 

  • Fathi, A., Karimi, B., & Saen, R. F. (2022). Sustainability assessment of supply chains by a novel robust two-stage network DEA model: A case study in the transport industry. Soft Computing, 26, 6101–6118.

    Article  Google Scholar 

  • Fathi, B., Ashena, M., & Bahari, A. R. (2021). Energy, environmental, and economic efficiency in fossil fuel exporting countries: A modified data envelopment analysis approach. Sustainable Production and Consumption, 26, 588–596.

    Article  Google Scholar 

  • He, Y., Liao, N., & Zhou, Y. (2018). Analysis on provincial industrial energy efficiency and its influencing factors in China based on DEA-RS-FANN. Energy, 142, 79–89.

    Article  Google Scholar 

  • Hong, J., Zhong, X., Guo, S., Liu, G., Shen, G. Q., & Yu, T. (2019). Water-energy nexus and its efficiency in China’s construction industry: Evidence from province-level data. Sustainable Cities and Society, 48, 101557.

    Article  Google Scholar 

  • Hu, J., & Xu, S. (2022). Analysis of energy efficiency in China’s export trade: A perspective based on the synergistic reduction of CO2 and SO2. Energy Reports, 8, 140–155.

    Article  Google Scholar 

  • Huang, J., Du, D., & Hao, Y. (2017). The driving forces of the change in China’s energy intensity: An empirical research using DEA-Malmquist and spatial panel estimations. Economic Modelling, 65, 41–50.

    Article  Google Scholar 

  • IEA. (2020). World energy outlook, 2020. International Energy Agency. https://www.iea.org/reports/world-energy-outlook-2020

  • Kao, C. (2010). Malmquist productivity index based on common-weights DEA: The case of Taiwan forests after reorganization. Omega, 38, 484–491.

    Article  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. European Journal of Operational Research, 185, 418–429.

    Article  Google Scholar 

  • Li, F., Zhang, D., Zhang, J., & Kou, G. (2022). Measuring the energy production and utilization efficiency of Chinese thermal power industry with the fixed-sum carbon emission constraint. International Journal of Production Economics, 252, 108571.

    Article  Google Scholar 

  • Li, Y., Li, J., Gong, Y., Wei, F., & Huang, Q. (2020). CO2 emission performance evaluation of Chinese port enterprises: A modified meta-frontier non-radial directional distance function approach. Transportation Research Part D: Transport and Environment, 89, 102605.

    Article  Google Scholar 

  • Liang, L., Yang, F., Cook, W. D., & Zhu, J. (2006). DEA models for supply chain efficiency evaluation. Annals of Operations Research, 145, 35–49.

    Article  Google Scholar 

  • Liu, H.-H., Yang, G.-L., Liu, X.-X., & Song, Y.-Y. (2020). R&D performance assessment of industrial enterprises in China: A two-stage DEA approach. Socio-Economic Planning Sciences, 71, 100753.

    Article  Google Scholar 

  • Liu, S.-T. (2014). Restricting weight flexibility in fuzzy two-stage DEA. Computers & Industrial Engineering, 74, 149–160.

    Article  CAS  Google Scholar 

  • Lu, C., Tao, J., An, Q., & Lai, X. (2020). A second-order cone programming based robust data envelopment analysis model for the new-energy vehicle industry. Annals of Operations Research, 292, 321–339.

    Article  Google Scholar 

  • National Bureau of Statistics of China. (2008–2019). China statistical yearbook, 2008–2019. China Statistics Press.

  • Qu, J., Wang, B., & Liu, X. (2022). A modified super-efficiency network data envelopment analysis: Assessing regional sustainability performance in China. Socio-Economic Planning Sciences, 82, 101262.

    Article  Google Scholar 

  • Sun, J., Wu, J., & Guo, D. (2013). Performance ranking of units considering ideal and anti-ideal DMU with common weights. Applied Mathematical Modelling, 37, 6301–6310.

    Article  Google Scholar 

  • Wei, F., Zhang, X., Chu, J., Yang, F., & Yuan, Z. (2021). Energy and environmental efficiency of China’s transportation sectors considering CO2 emission uncertainty. Transportation Research Part D: Transport and Environment, 97, 102955.

    Article  Google Scholar 

  • Wei, Y.-M., & Liao, H. (2016). Energy economics: Energy efficiency in China. Springer.

    Book  Google Scholar 

  • World Health Organization. (2021). The global health observatory. 2021. Retrieved from, https://www.who.int/data/gho/data/indicators. Accessed July 2022.

  • Wu, J., Zhu, Q., Chu, J., Liu, H., & Liang, L. (2016). Measuring energy and environmental efficiency of transportation systems in China based on a parallel DEA approach. Transportation Research Part D: Transport and Environment, 48, 460–472.

    Article  Google Scholar 

  • Wu, K., & Zhu, Q. (2011). Energy flow analysis of energy consumption in Yangtze River Delta. Journal of SJTU (philosophy and Social Sciences), 6, 49–59.

    Google Scholar 

  • Yang, W., Shi, J., Qiao, H., Shao, Y., & Wang, S. (2017). Regional technical efficiency of Chinese Iron and steel industry based on bootstrap network data envelopment analysis. Socio-Economic Planning Sciences, 57, 14–24.

    Article  Google Scholar 

  • Zha, Y., Zhao, L., & Bian, Y. (2016). Measuring regional efficiency of energy and carbon dioxide emissions in China: A chance constrained DEA approach. Computers & Operations Research, 66, 351–361.

    Article  Google Scholar 

  • Zhang, J., Wu, G., & Zhang, J. (2004). The estimation of China’s provincial capital stock: 1952–2000. Economic Research Journal, 10, 10.

    Google Scholar 

  • Zhao, H., Guo, S., & Zhao, H. (2019). Provincial energy efficiency of China quantified by three-stage data envelopment analysis. Energy, 166, 96–107.

    Article  Google Scholar 

  • Zhou, Y., & Zheng, S. (2020). Uncertainty study on thermal and energy performances of a deterministic parameters based optimal aerogel glazing system using machine-learning method. Energy, 193, 116718.

    Article  Google Scholar 

Download references

Acknowledgements

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors. The authors are sincerely grateful for the suggestions and comments were given by anonymous reviewers.

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Correspondence to Jingjing Qu.

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Appendix

Appendix

See Tables 4 and 5.

Table 4 The MPI of the energy utilization system between 2007 and 2008 with and without data uncertainty based on the deterministic model
Table 5 The MPI of the energy utilization system between 2007 and 2008 with and without data uncertainty based on the robust model

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Qu, J., Liu, X. & Wang, B. Efficiency analysis of China’s energy utilization system based on the robust network DEA-Malmquist productivity index with common weights. Environ Dev Sustain (2023). https://doi.org/10.1007/s10668-023-03894-7

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