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A dynamic multi-objective optimization model for inner-industry carbon responsibility allocation based on carbon tax and carbon offsets accounting

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  • Zhang, Linzi
  • Shi, Yong

Abstract

The setting of Intergovernmental Panel on Climate Change (IPCC) raises concerns on curbing the excessive carbon emissions, and European Union (EU) has been proactively attempting “green” initiatives striving to achieve carbon neutrality. The current Carbon Border Adjustment Mechanism (CBAM) only works on short-term carbon reduction without much “greenness” investment incentives so far, and few studies focus on the long-standing inner-industrial carbon reduction coordination. To address these issues, this paper creatively presents a dynamic multi-objective carbon responsibility allocation model (CRAM) for EU carbon market, allows the carbon trade with a taxation based on carbon offsets accounting, and considers the final targets of sustainable “greenness” investment incentives. To find the optimal results of the designed dynamic CRAM, an improved KT-NSGA-II algorithm is proposed to detect the Pareto frontiers of each successive periods. Data from EU Cement and Aluminium industries are then selected for empirical analysis to compare the proposed CRAM to conventional CBAM model. The findings demonstrate that the superiority of CRAM in carbon emissions reduction, economic benefits improvement and green invests encouragement. With the adjustment of the inner-industrial carbon allowance trade, total carbon emissions decreased by 28.03% and the “greenness” investment initiative increased by 39.24% in contrast to the CBAM. The sensitivity analysis of the model also provides suggestions on the settings of carbon quota and tax with different industrial production process, and proposes policy recommendations for CRAM implementation.

Suggested Citation

  • Zhang, Linzi & Shi, Yong, 2025. "A dynamic multi-objective optimization model for inner-industry carbon responsibility allocation based on carbon tax and carbon offsets accounting," Applied Energy, Elsevier, vol. 377(PB).
    • Handle: RePEc:eee:appene:v:377:y:2025:i:pb:s0306261924019548
    DOI: 10.1016/j.apenergy.2024.124571
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    References listed on IDEAS

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    1. Xia, Dan & Zhang, Ling & Zhou, Dequn & Pian, Qianya, 2023. "Continuous allocation of carbon emission quota considering different paths to carbon peak: Based on multi-objective optimization," Energy Policy, Elsevier, vol. 178(C).
    2. Xiao, Wu & Cheng, Andi & Li, Shuai & Jiang, Xiaobin & Ruan, Xuehua & He, Gaohong, 2021. "A multi-objective optimization strategy of steam power system to achieve standard emission and optimal economic by NSGA-Ⅱ," Energy, Elsevier, vol. 232(C).
    3. Chang, Kai & Zhang, Chao & Chang, Hao, 2016. "Emissions reduction allocation and economic welfare estimation through interregional emissions trading in China: Evidence from efficiency and equity," Energy, Elsevier, vol. 113(C), pages 1125-1135.
    4. Gilbert E. Metcalf, 2009. "Designing a Carbon Tax to Reduce U.S. Greenhouse Gas Emissions," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 3(1), pages 63-83, Winter.
    5. Kaddani, Sami & Vanderpooten, Daniel & Vanpeperstraete, Jean-Michel & Aissi, Hassene, 2017. "Weighted sum model with partial preference information: Application to multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 260(2), pages 665-679.
    6. Richard Schmalensee & Robert N. Stavins, 2017. "Lessons Learned from Three Decades of Experience with Cap and Trade," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 11(1), pages 59-79.
    7. Krishnan S. Anand & François C. Giraud-Carrier, 2020. "Pollution Regulation of Competitive Markets," Management Science, INFORMS, vol. 66(9), pages 4193-4206, September.
    8. Xiaoshuai Fan & Kanglin Chen & Ying-Ju Chen, 2023. "Is Price Commitment a Better Solution to Control Carbon Emissions and Promote Technology Investment?," Management Science, INFORMS, vol. 69(1), pages 325-341, January.
    9. Felipe Caro & Charles J. Corbett & Tarkan Tan & Rob Zuidwijk, 2013. "Double Counting in Supply Chain Carbon Footprinting," Manufacturing & Service Operations Management, INFORMS, vol. 15(4), pages 545-558, October.
    10. Jinye Zhao & Benjamin F. Hobbs & Jong-Shi Pang, 2010. "Long-Run Equilibrium Modeling of Emissions Allowance Allocation Systems in Electric Power Markets," Operations Research, INFORMS, vol. 58(3), pages 529-548, June.
    11. David F. Drake & Paul R. Kleindorfer & Luk N. Van Wassenhove, 2016. "Technology Choice and Capacity Portfolios under Emissions Regulation," Production and Operations Management, Production and Operations Management Society, vol. 25(6), pages 1006-1025, June.
    12. Jason Nguyen & Karen Donohue & Mili Mehrotra, 2019. "Closing a Supplier’s Energy Efficiency Gap Through Assessment Assistance and Procurement Commitment," Management Science, INFORMS, vol. 65(1), pages 122-138, January.
    13. Oberndorfer, Ulrich & Rennings, Klaus, 2006. "The Impact of the European Union Emissions Trading Scheme on Competitiveness in Europe," ZEW Discussion Papers 06-051, ZEW - Leibniz Centre for European Economic Research.
    14. Yang, Shenbo & Fang, Jiangpeng & Zhang, Zheyu & Lv, ShuoShuo & Lin, Hongyu & Ju, Liwei, 2024. "Two-stage coordinated optimal dispatching model and benefit allocation strategy for rural new energy microgrid," Energy, Elsevier, vol. 292(C).
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