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Modelling and computing the peaks of carbon emission with balanced growth

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  • Chang, Shuhua
  • Wang, Xinyu
  • Wang, Zheng

Abstract

In this paper, we assume that under the balanced and optimal economic growth path, the economic growth rate is equal to the consumption growth rate, from which we can obtain the ordinary differential equation governing the consumption level by solving an optimal control problem. Then, a novel numerical method, namely a so-called discontinuous Galerkin method, is applied to solve the ordinary differential equation. The error estimation and the superconvergence estimation of this method are also performed. The model’s mechanism, which makes our assumption coherent, is that once the energy intensity is given, the economic growth is determined, followed by the GDP, the energy demand and the emissions. By applying this model to China, we obtain the conclusion that under the balanced and optimal economic growth path the CO2 emission will reach its peak in 2030 in China, which is consistent with the U.S.-China Joint Announcement on Climate Change and with other previous scientific results.

Suggested Citation

  • Chang, Shuhua & Wang, Xinyu & Wang, Zheng, 2016. "Modelling and computing the peaks of carbon emission with balanced growth," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 452-460.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:452-460
    DOI: 10.1016/j.chaos.2016.07.004
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    1. Keke Huang & Tao Wang & Yuan Cheng & Xiaoping Zheng, 2015. "Effect of Heterogeneous Investments on the Evolution of Cooperation in Spatial Public Goods Game," PLOS ONE, Public Library of Science, vol. 10(3), pages 1-10, March.
    2. Cai, Wenjia & Wang, Can & Chen, Jining & Wang, Ke & Zhang, Ying & Lu, Xuedu, 2008. "Comparison of CO2 emission scenarios and mitigation opportunities in China's five sectors in 2020," Energy Policy, Elsevier, vol. 36(3), pages 1181-1194, March.
    3. Azevedo, Alcino & Paxson, Dean, 2014. "Developing real option game models," European Journal of Operational Research, Elsevier, vol. 237(3), pages 909-920.
    4. Cheng-Yi Xia & Xiao-Kun Meng & Zhen Wang, 2015. "Heterogeneous Coupling between Interdependent Lattices Promotes the Cooperation in the Prisoner’s Dilemma Game," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-13, June.
    5. Chen, Wenying, 2005. "The costs of mitigating carbon emissions in China: findings from China MARKAL-MACRO modeling," Energy Policy, Elsevier, vol. 33(7), pages 885-896, May.
    6. Richard Schmalensee & Thomas M. Stoker & Ruth A. Judson, 1998. "World Carbon Dioxide Emissions: 1950-2050," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 15-27, February.
    7. Moon, Young-Seok & Sonn, Yang-Hoon, 1996. "Productive energy consumption and economic growth: An endogenous growth model and its empirical application," Resource and Energy Economics, Elsevier, vol. 18(2), pages 189-200, June.
    8. Jannett Highfill & Michael McAsey, 1991. "An optimal control problem in economics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-8, January.
    9. Shuhua Chang & Xinyu Wang & Zheng Wang, 2015. "Modeling and Computation of Transboundary Industrial Pollution with Emission Permits Trading by Stochastic Differential Game," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-29, September.
    10. Auffhammer, Maximilian & Carson, Richard T., 2008. "Forecasting the path of China's CO2 emissions using province-level information," Journal of Environmental Economics and Management, Elsevier, vol. 55(3), pages 229-247, May.
    11. Huang, Keke & Zheng, Xiaoping & Su, Yunpeng, 2015. "Effect of heterogeneous sub-populations on the evolution of cooperation," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 681-687.
    12. Dinda, Soumyananda, 2004. "Environmental Kuznets Curve Hypothesis: A Survey," Ecological Economics, Elsevier, vol. 49(4), pages 431-455, August.
    13. Moomaw, William R. & Unruh, Gregory C., 1997. "Are environmental Kuznets curves misleading us? The case of CO2 emissions," Environment and Development Economics, Cambridge University Press, vol. 2(4), pages 451-463, November.
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    Cited by:

    1. Jiang, Jingjing & Ye, Bin & Liu, Junguo, 2019. "Research on the peak of CO2 emissions in the developing world: Current progress and future prospect," Applied Energy, Elsevier, vol. 235(C), pages 186-203.

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