IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v89y2017icp83-91.html
   My bibliography  Save this article

Sustainable growth and environmental catastrophes

Author

Listed:
  • Aznar-Márquez, J.
  • Ruiz-Tamarit, J.R.

Abstract

In the standard AK growth model we introduce the threat of an ecological catastrophe and study the consequences for the economic variables in the long-run. We extend the basic framework by considering two environmental externalities: the first one is local and gives account of the marginal damage from emissions flow; the second one is aggregate, or global, and relates to the extreme damage which may happen if the accumulated stock of pollutants is on the threshold of a worldwide catastrophe. In this context dominated by market failures, we focus on the socially optimal solution and the search of conditions for sustainability. We identify the efficient balanced growth path, which may even show a singularity with trajectories truncating and changing course. In short, with respect to the economy’s long-run performance, we study how environment matters in different ways and at different stages, giving conditions to prevent the catastrophe and preserve (a lower) sustained growth. This paper may also be read as a clear and rigorous example of an optimal control problem involving a pure state-space constraint.

Suggested Citation

  • Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2017. "Sustainable growth and environmental catastrophes," Mathematical Social Sciences, Elsevier, vol. 89(C), pages 83-91.
  • Handle: RePEc:eee:matsoc:v:89:y:2017:i:c:p:83-91
    DOI: 10.1016/j.mathsocsci.2017.07.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S016548961730104X
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. Jean-Pierre Amigues & Michel Moreaux & Katheline Schubert, 2011. "Optimal Use of a Polluting Non-Renewable Resource Generating both Manageable and Catastrophic Damages," Annals of Economics and Statistics, GENES, issue 103-104, pages 107-141.
    3. Mariani, Fabio & Pérez-Barahona, Agustín & Raffin, Natacha, 2010. "Life expectancy and the environment," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 798-815, April.
    4. Benchekroun, Hassan & Van Long, Ngo, 2002. "On the multiplicity of efficiency-inducing tax rules," Economics Letters, Elsevier, vol. 76(3), pages 331-336, August.
    5. Yacov Tsur & Cees Withagen, 2013. "Preparing for catastrophic climate change," Journal of Economics, Springer, vol. 110(3), pages 225-239, November.
    6. Raouf BOUCEKKINE & Blanca MARTINEZ & José Ramon RUIZ-TAMARIT, 2013. "Optimal sustainable policies under pollution ceiling: the demographic side," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2013028, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    7. repec:adr:anecst:y:2011:i:103-104:p:07 is not listed on IDEAS
    8. Pommeret, Aude & Schubert, Katheline, 2009. "Abatement Technology Adoption Under Uncertainty," Macroeconomic Dynamics, Cambridge University Press, vol. 13(4), pages 493-522, September.
    9. 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.
    10. Reis, Ana Balcao, 2001. "Endogenous Growth and the Possibility of Eliminating Pollution," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 360-373, November.
    11. 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.
    12. David I. Stern, 2012. "Ecological Economics," Crawford School Research Papers 1203, Crawford School of Public Policy, The Australian National University.
    13. Schumacher, Ingmar & Zou, Benteng, 2015. "Threshold preferences and the environment," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 17-27.
    14. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    15. Byrne, Margaret M., 1997. "Is growth a dirty word? Pollution, abatement and endogenous growth," Journal of Development Economics, Elsevier, vol. 54(2), pages 261-284, December.
    16. Tahvonen, Olli & Salo, Seppo, 1996. "Nonconvexities in Optimal Pollution Accumulation," Journal of Environmental Economics and Management, Elsevier, vol. 31(2), pages 160-177, September.
    17. Alain Ayong Le Kama & Aude Pommeret & Fabien Prieur, 2014. "Optimal Emission Policy under the Risk of Irreversible Pollution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 16(6), pages 959-980, December.
    18. Amigues, Jean-Pierre & Moreaux, Michel, 2013. "Optimal growth under a climate constraint," TSE Working Papers 13-436, Toulouse School of Economics (TSE).
    19. Graciela Chichilnisky, 1997. "What Is Sustainable Development?," Land Economics, University of Wisconsin Press, vol. 73(4), pages 467-491.
    20. Clas Eriksson & Ficre Zehaie, 2005. "Population Density, Pollution and Growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 30(4), pages 465-484, April.
    21. Raymond Gradus & Sjak Smulders, 1993. "The trade-off between environmental care and long-term growth—Pollution in three prototype growth models," Journal of Economics, Springer, vol. 58(1), pages 25-51, February.
    22. Mohtadi, Hamid, 1996. "Environment, growth, and optimal policy design," Journal of Public Economics, Elsevier, vol. 63(1), pages 119-140, December.
    23. Tahvonen, Olli & Withagen, Cees, 1996. "Optimality of irreversible pollution accumulation," Journal of Economic Dynamics and Control, Elsevier, vol. 20(9-10), pages 1775-1795.
    24. Aznar-Márquez, J. & Ruiz-Tamarit, J.R., 2016. "Environmental pollution, sustained growth, and sufficient conditions for sustainable development," Economic Modelling, Elsevier, vol. 54(C), pages 439-449.
    25. Wirl, Franz, 2006. "Consequences of irreversibilities on optimal intertemporal CO2 emission policies under uncertainty," Resource and Energy Economics, Elsevier, vol. 28(2), pages 105-123, May.
    26. John C. V. Pezzey, 1997. "Sustainability Constraints versus "Optimality" versus Intertemporal Concern, and Axioms versus Data," Land Economics, University of Wisconsin Press, vol. 73(4), pages 448-466.
    27. Schelling Thomas C., 2007. "Climate Change: The Uncertainties, the Certainties and What They Imply About Action," The Economists' Voice, De Gruyter, vol. 4(3), pages 1-5, July.
    28. Mariani, Fabio & Pérez-Barahona, Agustín & Raffin, Natacha, 2010. "Life expectancy and the environment," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 798-815, April.
    29. Philippe Michel & Gilles Rotillon, 1995. "Disutility of pollution and endogenous growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 6(3), pages 279-300, October.
    30. repec:adr:anecst:y:2011:i:103-104 is not listed on IDEAS
    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.
    33. Selden Thomas M. & Song Daqing, 1995. "Neoclassical Growth, the J Curve for Abatement, and the Inverted U Curve for Pollution," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 162-168, September.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matsoc:v:89:y:2017:i:c:p:83-91. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Haili He). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.