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Economic Growth and the Social Cost of Carbon: Additive versus Multiplicative Damages

Author

Listed:
  • Rick Van der Ploeg
  • Armon Rezai
  • Cees Withagen
Abstract
In a calibrated integrated assessment model of Ramsey growth and climate change in the global economy we investigate the differential impact of additive and multiplicative global warming damages for both a socially optimal and business-as-usual scenario. Fossil fuel is available at a cost which rises as reserves diminish and a carbon-free backstop is supplied at decreasing cost. If damages are not proportional to aggregate production and the economy is along a development path, the optimal carbon tax is smaller. The economy switches later from fossil fuel to the carbon-free backstop and leaves less fossil fuel in situ. By adjusting climate policy in this way there is very little difference on the paths for global consumption, output and capital, and thus very little difference for social welfare despite the higher temperatures. For all specifications the optimal carbon tax is not a fixed proportion of world GDP but must follow a hump shape.

Suggested Citation

  • Rick Van der Ploeg & Armon Rezai & Cees Withagen, 2012. "Economic Growth and the Social Cost of Carbon: Additive versus Multiplicative Damages," OxCarre Working Papers 093, Oxford Centre for the Analysis of Resource Rich Economies, University of Oxford.
  • Handle: RePEc:oxf:oxcrwp:093
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    Cited by:

    1. Richard S J Tol, 2018. "The Economic Impacts of Climate Change," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 12(1), pages 4-25.
    2. Moreaux, Michel & Withagen, Cees, 2013. "Climate Change and Carbon Capture and Storage," IDEI Working Papers 774, Institut d'Économie Industrielle (IDEI), Toulouse.
    3. Lucas Bretschger & Christos Karydas, 2018. "Optimum Growth and Carbon Policies with Lags in the Climate System," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 70(4), pages 781-806, August.
    4. Moreaux, Michel & Withagen, Cees, 2015. "Optimal abatement of carbon emission flows," Journal of Environmental Economics and Management, Elsevier, vol. 74(C), pages 55-70.
    5. Mark Kagan, 2012. "Climate Change Skepticism in the Face of Catastrophe," Tinbergen Institute Discussion Papers 12-112/VIII, Tinbergen Institute, revised 29 Sep 2014.
    6. Lint Barrage, 2020. "Optimal Dynamic Carbon Taxes in a Climate–Economy Model with Distortionary Fiscal Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(1), pages 1-39.
    7. Richard S.J. Tol, 2021. "Estimates of the social cost of carbon have not changed over time," Working Paper Series 0821, Department of Economics, University of Sussex Business School.
    8. Frederick van der Ploeg & Cees Withagen, 2015. "Global Warming and the Green Paradox: A Review of Adverse Effects of Climate Policies," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 9(2), pages 285-303.
    9. Richard S. J. Tol, 2021. "Estimates of the social cost of carbon have increased over time," Papers 2105.03656, arXiv.org, revised Aug 2022.
    10. VARDAR, N. Baris, 2014. "Optimal energy transition and taxation of non-renewable resources," LIDAM Discussion Papers CORE 2014021, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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    More about this item

    Keywords

    climate change; multiplicative damages; additive damages; integrated assessment models; Ramsey growth model; fossil fuel; carbon-free backstop;
    All these keywords.

    JEL classification:

    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • Q51 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Valuation of Environmental Effects
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming

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