Optimal Use of a Polluting Non-Renewable Resource Generating both Manageable and Catastrophic Damages
We consider a model with two energy sources, a non-renewable one, cheap but polluting, and a renewable one, expensive but clean, let's say coal and solar. The aim of environmental policy is to maintain atmospheric carbon concentration under a given ceiling, chosen to prevent an excessive rise of the temperature and catastrophic damages. Before the ceiling damages exist but remain small, hence manageable. We show first that costs matter a lot. Whatever abundant or rare, if solar is more expensive than coal at the ceiling, it will never be used before the end of the phase at the ceiling, when coal becomes so scarce that the ceiling will never be reached again. On the contrary, if solar is less expensive than coal at the ceiling, it may even be sufficiently cheap to be exploited before the ceiling, in which case first coal is exploited alone, next both resources are used together before, at and after the ceiling, and finally solar is exploited alone, after the exhaustion of coal. Second, the carbon shadow value is first increasing until the ceiling is reached, next decreasing during the phase at the ceiling, and finally is stabilized at a constant level after the ceiling. The initial carbon shadow cost is an increasing function of the value of the marginal damage, and a decreasing function of the ceiling. Lastly, contrary to intuition, higher marginal damages and/or a lower ceiling induce a delay in the penetration of solar and also a delay in the transition towards a totally clean energy.
Volume (Year): (2011)
Issue (Month): 103-104 ()
|Contact details of provider:|| Postal: 3, avenue Pierre Larousse, 92245 Malakoff Cedex|
Web page: https://annals.ensae.fr/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Chakravorty, Ujjayant & Magne, Bertrand & Moreaux, Michel, 2006.
"A Hotelling model with a ceiling on the stock of pollution,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 30(12), pages 2875-2904, December.
- Ujjayant Chakravorty & Bertrand Magne & Michel Moreaux, 2003. "A Hotelling Model with a Ceiling on the Stock of Pollution," Emory Economics 0321, Department of Economics, Emory University (Atlanta).
- Chakravorty, Ujjayant & Magné, Bertrand & Moreaux, Michel, 2005. "A Hotelling Model with a Ceiling on the Stock of Pollution," IDEI Working Papers 368, Institut d'Économie Industrielle (IDEI), Toulouse.
- Farzin, Y H & Tahvonen, O, 1996. "Global Carbon Cycle and the Optimal Time Path of a Carbon Tax," Oxford Economic Papers, Oxford University Press, vol. 48(4), pages 515-536, October.
- Hoel, Michael & Kverndokk, Snorre, 1996. "Depletion of fossil fuels and the impacts of global warming," Resource and Energy Economics, Elsevier, vol. 18(2), pages 115-136, June.
- Snorre Kverndokk, 1994. "Depletion of Fossil Fuels and the impact of Global Warming," Discussion Papers 107, Statistics Norway, Research Department.
- repec:adr:anecst:y:2006:i:81:p:06 is not listed on IDEAS
- Hans-Werner Sinn, 2008. "Public policies against global warming: a supply side approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(4), pages 360-394, August.
- Sinn, Hans-Werner, 2008. "Public policies against global warming: A supply side approach," Munich Reprints in Economics 19638, University of Munich, Department of Economics.
- Ujjayant Chakravorty & Bertrand Magne & Michel Moreaux, 2006. "Plafond de concentration en carbone et substitutions entre ressources énergétiques," Annals of Economics and Statistics, GENES, issue 81, pages 141-168.
- Toman, Michael A. & Withagen, Cees, 2000. "Accumulative pollution, "clean technology," and policy design," Resource and Energy Economics, Elsevier, vol. 22(4), pages 367-384, October.
- Toman, Michael & Withagen, Cees, 1998. "Accumulative Pollution, "Clean Technology," and Policy Design," Discussion Papers dp-98-43, Resources For the Future.
- Olli Tahvonen, 1997. "Fossil Fuels, Stock Externalities, and Backstop Technology," Canadian Journal of Economics, Canadian Economics Association, vol. 30(4), pages 855-874, November.
- Ulph, Alistair & Ulph, David, 1994. "The Optimal Time Path of a Carbon Tax," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 857-868, Supplemen. Full references (including those not matched with items on IDEAS)