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Resource Depletion and Capital Accumulation under Catastrophic Risk: Policy Actions against Stochastic Thresholds and Stock Pollution

Author

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  • Nævdal, Eric

    (Ragnar Frisch Centre for Economic Research)

  • Vislie, Jon

    (Dept. of Economics, University of Oslo)

Abstract

An intertemporal optimal strategy for accumulation of reversible capital and management of an exhaustible resource is analyzed for a global economy when resource depletion generates discharges that add to a stock pollutant that affects the likelihood for hitting a tipping point or threshold of unknown location, causing a random“disembodied technical regress”. We characterize an optimal strategy by imposing the notion “precautionary tax” on current extraction for preventing a productivity shock driven by stock pollution and a capital subsidy to promote capital accumulation so as to build up a buffer for future consumption opportunities should the threshold be hit. The precautionary tax will internalize the expected welfare loss should a threshold be hit, whereas the capital subsidy will internalize the expected post-catastrophic long-run return from current capital accumulation.

Suggested Citation

  • Nævdal, Eric & Vislie, Jon, 2013. "Resource Depletion and Capital Accumulation under Catastrophic Risk: Policy Actions against Stochastic Thresholds and Stock Pollution," Memorandum 24/2013, Oslo University, Department of Economics.
  • Handle: RePEc:hhs:osloec:2013_024
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    File URL: https://www.sv.uio.no/econ/english/research/unpublished-works/working-papers/pdf-files/2013/memo-24-2013.pdf
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    References listed on IDEAS

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    1. Naevdal, Eric & Oppenheimer, Michael, 2007. "The economics of the thermohaline circulation--A problem with multiple thresholds of unknown locations," Resource and Energy Economics, Elsevier, vol. 29(4), pages 262-283, November.
    2. Nævdal, Eric & Vislie, Jon, 2008. "Climate Change, Catastrophic Risk and the Relative Unimporartance of Discounting," Memorandum 28/2008, Oslo University, Department of Economics.
    3. Yacov Tsur & Amos Zemel, 2009. "Endogenous Discounting and Climate Policy," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 44(4), pages 507-520, December.
    4. Raouf Boucekkine & Aude Pommeret & Fabien Prieur, 2012. "Optimal Regime Switching and Threshold Effects: Theory and Application to a Resource Extraction Problem under Irreversibility," Working Papers halshs-00793200, HAL.
    5. Hoel, Michael & Karp, Larry, 2001. "Taxes and quotas for a stock pollutant with multiplicative uncertainty," Journal of Public Economics, Elsevier, vol. 82(1), pages 91-114, October.
    6. Robert J. Barro, 2015. "Environmental Protection, Rare Disasters and Discount Rates," Economica, London School of Economics and Political Science, vol. 82(325), pages 1-23, January.
    7. Morton I. Kamien & Nancy L. Schwartz, 1978. "Optimal Exhaustible Resource Depletion with Endogenous Technical Change," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 179-196.
    8. Tsur, Yacov & Zemel, Amos, 1996. "Accounting for global warming risks: Resource management under event uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1289-1305.
    9. Gollier, Christian & Jullien, Bruno & Treich, Nicolas, 2000. "Scientific progress and irreversibility: an economic interpretation of the 'Precautionary Principle'," Journal of Public Economics, Elsevier, vol. 75(2), pages 229-253, February.
    10. Hoel, Michael & Karp, Larry, 2002. "Taxes versus quotas for a stock pollutant," Resource and Energy Economics, Elsevier, vol. 24(4), pages 367-384, November.
    11. Martin L. Weitzman, 2009. "On Modeling and Interpreting the Economics of Catastrophic Climate Change," The Review of Economics and Statistics, MIT Press, vol. 91(1), pages 1-19, February.
    12. Naevdal, Eric, 2006. "Dynamic optimisation in the presence of threshold effects when the location of the threshold is uncertain - with an application to a possible disintegration of the Western Antarctic Ice Sheet," Journal of Economic Dynamics and Control, Elsevier, vol. 30(7), pages 1131-1158, July.
    13. Tsur, Yacov & Zemel, Amos, 1998. "Pollution control in an uncertain environment," Journal of Economic Dynamics and Control, Elsevier, vol. 22(6), pages 967-975, June.
    14. R. Davison, 1978. "Optimal Depletion of an Exhaustible Resource with Research and Development towards an Alternative Technology," Review of Economic Studies, Oxford University Press, vol. 45(2), pages 355-367.
    15. Kenneth Arrow, 2009. "A note on uncertainty and discounting in models of economic growth," Journal of Risk and Uncertainty, Springer, vol. 38(2), pages 87-94, April.
    16. Dasgupta, Partha & Stiglitz, Joseph, 1981. "Resource Depletion under Technological Uncertainty," Econometrica, Econometric Society, vol. 49(1), pages 85-104, January.
    17. Martin L. Weitzman, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 703-724, September.
    18. Brito, Dagobert L. & Intriligator, Michael D., 1987. "Stock externalities, Pigovian taxation and dynamic stability," Journal of Public Economics, Elsevier, vol. 33(1), pages 59-72, June.
    19. Arrow, Kenneth J & Kurz, Mordecai, 1970. "Optimal Growth with Irreversible Investment in a Ramsey Model," Econometrica, Econometric Society, vol. 38(2), pages 331-344, March.
    20. -, 2009. "The economics of climate change," Sede Subregional de la CEPAL para el Caribe (Estudios e Investigaciones) 38679, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL).
    21. Stern,Nicholas, 2007. "The Economics of Climate Change," Cambridge Books, Cambridge University Press, number 9780521700801.
    22. Gollier, Christian, 2002. "Discounting an uncertain future," Journal of Public Economics, Elsevier, vol. 85(2), pages 149-166, August.
    23. Gjerde, Jon & Grepperud, Sverre & Kverndokk, Snorre, 1999. "Optimal climate policy under the possibility of a catastrophe," Resource and Energy Economics, Elsevier, vol. 21(3-4), pages 289-317, August.
    24. Tahvonen, Olli & Withagen, Cees, 1996. "Optimality of irreversible pollution accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1775-1795.
    25. Heal, Geoffrey, 2005. "Intertemporal Welfare Economics and the Environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 21, pages 1105-1145, Elsevier.
    26. Partha Dasgupta, 2008. "Discounting climate change," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 141-169, December.
    27. Yacov Tsur & Amos Zemel, 2008. "Regulating environmental threats," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 39(3), pages 297-310, March.
    28. Morton I. Kamien & Nancy L. Schwartz, 1971. "Optimal Maintenance and Sale Age for a Machine Subject to Failure," Management Science, INFORMS, vol. 17(8), pages 495-504, April.
    29. William D. Nordhaus, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 686-702, September.
    30. Asbjørn Torvanger, 1997. "Uncertain climate change in an intergenerational planning model," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 9(1), pages 103-124, January.
    31. Clarke, Harry R. & Reed, William J., 1994. "Consumption/pollution tradeoffs in an environment vulnerable to pollution-related catastrophic collapse," Journal of Economic Dynamics and Control, Elsevier, vol. 18(5), pages 991-1010, September.
    32. Cropper, M. L., 1976. "Regulating activities with catastrophic environmental effects," Journal of Environmental Economics and Management, Elsevier, vol. 3(1), pages 1-15, June.
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    More about this item

    Keywords

    Catastrophic; risk; stochastic; threshold; optimal; saving;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • 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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