Skip to main content
Log in

The environmental Kuznets curve in a world of irreversibility

  • Research Article
  • Published:
Economic Theory Aims and scope Submit manuscript

Abstract

This paper develops an overlapping generations model where consumption is the source of polluting emissions. Pollution stock accumulates with emissions but is partially assimilated by nature at each period. The assimilation capacity of nature is limited and vanishes beyond a critical level of pollution. We first show that multiple equilibria exist. More importantly, some exhibit irreversible pollution levels although an abatement activity is operative. Thus, the simple engagement of maintenance does not necessarily suffice to protect an economy against convergence toward a steady state having the properties of an ecological and economic poverty trap. In contrast with earlier related studies, the emergence of the environmental Kuznets curve is no longer the rule. Instead, we detect a sort of degenerated environmental Kuznets curve that corresponds to the equilibrium trajectory leading to the irreversible solution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Allais, M.: Economie et Intérêt, Paris, Imprimerie Nationale (1947)

  • Andreoni, J., Levinson, A.: The simple analytics of the environmental Kuznets Curve. J Pub Econ 80, 269–286 (2001)

    Article  Google Scholar 

  • Azariadis, C., Drazen, A.: Threshold externalities in economic development. Q J Econ 105, 501–526 (1990)

    Article  Google Scholar 

  • Azariadis, C.: Intertemporal Macroeconomics, Chap 14. Blackwell, London (2000)

    Google Scholar 

  • Brock, W., Taylor, M.: Economic growth and the environment: a review of theory and empirics. NBER working paper series, no. 10854 (2004)

  • Carson, R.T., Jeon, Y., McCubbin, R.: The relationship between air pollution emissions and income: US data. Environ Develop Econ 2, 433–450 (1997)

    Article  Google Scholar 

  • Cesar, H., de Zeeuw, A.: Substainability and the greenhouse effect: Robustness analysis of the assimilation function. In: Filar, J., Carraro, C. (eds) Control and Game Theoretical Models of the Environment, Boston, Birkhäuser (1994)

    Google Scholar 

  • Comolli, P.: Pollution control in a simplified general equilibrium model with production externalities. J Environ Econo Manage 4, 289–304 (1977)

    Article  Google Scholar 

  • Copeland, B., Taylor, M.: Trade, growth and the environment. NBER working papers series, no. 9823 (2003)

  • Corbière, A., Metzl, N., Reverdin, G., Brunet, C., Takahashi, T.: Interannual and decadal variability of the oceanic carbon sink in the North Atlantic subpolar gyre. Tellus series B, Chemi Phys Meteorol 59, 168 (2007)

    Article  Google Scholar 

  • Dasgupta, P.: The Control of Resources. Basil Blackwell, Oxford (1982)

    Google Scholar 

  • Dasgupta, P., Mäler, K.-G.: The economics of non-convex ecosystems: introduction. Environ Resource Econ 26, 499–525 (2002)

    Article  Google Scholar 

  • Dasgupta, S., Laplante, B., Wang, H., Wheeler, D.: Confronting the environmental Kuznets curve. J Econ Persp 16(1), 147–168 (2002)

    Article  Google Scholar 

  • De la Croix, D., Michel, P.: Myopic and perfect foresight in the OLG model. Econ Lett 67, 53–60 (2000)

    Article  Google Scholar 

  • Diamond, P.A.: National debt in a neoclassical growth model. Am Econ Rev 55(5), 1126–1150 (1965)

    Google Scholar 

  • Dinda, S.: Environmental Kuznets curve hypothesis: a survey. Ecolo Econ 49, 431–455 (2004)

    Article  Google Scholar 

  • Forster, B.: Optimal pollution control with nonconstant exponential rate of decay. J Environ Econ Manage 2, 1–6 (1975)

    Article  Google Scholar 

  • Fung, I.Y., Doney, S.C., Lindsay, K., John, J.: Evolution of carbon sinks in a changing climate. Proc Nat Acad Sci USA 102(32), 11201–11206 (2005)

    Article  Google Scholar 

  • Galor, O., Ryder, H.: Existence, uniqueness and stability of equilibrium in an overlapping generations model with productive capital. J Econ Theory 49, 360–375 (1989)

    Article  Google Scholar 

  • Grossman, G., Krueger, A.: Environmental impacts of North American free trade agreement. In: Garber, P. (eds) The U.S-Mexico Free Trade Agreement, MA, MIT Press, Cambridge (1993)

    Google Scholar 

  • Grossman, G., Krueger, A.: Economic Growth and the environment. Q J Econ 110, 353–376 (1995)

    Article  Google Scholar 

  • Holling, C.: Resilience and stability of ecological, systems. Rev Ecol System 4, 1–23 (1973)

    Article  Google Scholar 

  • Intergovernmental Panel on Climate Change: “Carbon dioxide capture and storage”. A report of working group III of the IPCC. http://www.mnp.nl/ipcc/pages_media/SRCCS-final/ccsspm.pdf (2005)

  • Intergovernmental Panel on Climate Change, fourth assessment report: “Climate change 2007: synthesis report”. http://www.ipcc.ch/pdf/assessment-report/ar4/syr/ar4_syr_spm.pdf (2007)

  • John, A., Pecchenino, R.: An overlapping generations model of growth and the environment. Econ J 104, 1393–1410 (1994)

    Article  Google Scholar 

  • John, A., Pecchenino, R., Schimmelpfennig, D., Schreft, S.: Short lived agents and long-lived environment. J Public Econ 58, 127–141 (1995)

    Article  Google Scholar 

  • Jones, L., Manuelli, R.: Endogenous policy choice: the case of pollution and growth. Rev Econ Dyn 4, 369–405 (2001)

    Article  Google Scholar 

  • Keeler, E., Spence, M., Zeckauser, R.: The optimal control of pollution. J Econ Theory 4, 19–34 (1971)

    Article  Google Scholar 

  • Keller, K., Bolker, B., Bradford, D.F.: Uncertain climate threshold and optimal economic growth. J Environ Econ Manage 48, 723–741 (2004)

    Article  Google Scholar 

  • Le Quéré, C., Rödenbeck, C., Buitenhuis, E.T., Conway, T.J., Langenfelds, R., Gomez, A., Labuschagne, C., Ramonet, M., Nakazawa, T., Metzl, N., Gillett, N., Heimann, M.: Saturation of the Southern Ocean CO2 sink due to recent climate change. Science 316, 1735 (2007)

    Article  Google Scholar 

  • Ono, T.: Environmental tax policy in a model of growth cycles. Econ Theory 22, 141–168 (2003)

    Article  Google Scholar 

  • Perman, R., Stern, D.: Evidence from panel unit root and cointegration tests that the environmental Kuznets curve does not exist. Aust J Agric Resource Econ 47(3), 325–347 (2003)

    Article  Google Scholar 

  • Peterman, R. : Influence of ecosystem structure and perturbation history on recovery process. In: Cairns, J. Jr. (eds) The Recovery Process in Damaged Ecosystems, Ann Arbor Science, Michigan (1980)

    Google Scholar 

  • Rahmstorf, S.: Shifting seas in the greenhouse?. Nature 399, 523–524 (1999)

    Article  Google Scholar 

  • Samuelson, P.: An exact consumption-loan model of interest with or without the social contrivance of money. J Polit Econ 66, 467–482 (1958)

    Article  Google Scholar 

  • Schmalensee, R., Stocker, T.M., Judson, R.A.: World carbon dioxyde emissions: 1950–2050. Rev Econ Statist 80, 15–27 (1998)

    Article  Google Scholar 

  • Schmittner, A., Stocker, T.F.: Influence of CO2 emission rates on the Stability of the thermohaline circulation. Nature 388, 862–865 (1997)

    Article  Google Scholar 

  • Selden, T.M., Song, D.: Neoclassical growth, the J curve for abatement and the inverted U curve for pollution. J Environ Econ Manage 29, 162–168 (1995)

    Article  Google Scholar 

  • Smulders, S., Gradus, R.: The trade-off between environmental care and long-term growth: pollution in three prototype growth models. J Econ 58, 25–51 (1993)

    Google Scholar 

  • Stern, D.: Progress on the environmental Kuznets curve?. Environ Develop Econ 3, 173–196 (1998)

    Article  Google Scholar 

  • Stern, D.: The rise and fall of the environmental Kuznets curve. Rensselaer working papers no. 0302 (2003)

  • Stokey, N.: Are there limits to growth. Int Econ Rev 39, 1–31 (1998)

    Article  Google Scholar 

  • Suri, V., Chapman, D.: Economic growth, trade and energy: implications for the environmental Kuznets curve. Ecol Econ 25, 195–208 (1998)

    Article  Google Scholar 

  • Tahvonen, O., Salo, S.: Non convexities in optimal pollution accumulation. Eur Econ Rev 45, 1379–1398 (1996)

    Article  Google Scholar 

  • Tahvonen, O., Withagen, C.: Optimality of irreversible pollution accumulation. J Econ Dyn Control 20, 1775–1795 (1996)

    Article  Google Scholar 

  • Toman, M., Withagen, C.: Accumulative pollution, “clean technology”, and policy design. Resource Energy Econ 22, 367–384 (2000)

    Article  Google Scholar 

  • Van der Ploeg, F., Withagen, C.: Pollution control and the Ramsey problem. Environ Resources Econ 1, 215–236 (1991)

    Article  Google Scholar 

  • Wendner, R.: Existence, uniqueness, and stability of equilibrium in an OLG economy. Econ Theory 23, 165–174 (2004)

    Article  Google Scholar 

  • Wood, R., Keen, A., Mitchell, J., Gregory, J.: Changing spatial structure of the thermohaline circulation in response to atmospheric CO2 forcing in a climate model. Nature 319, 574–576 (1999)

    Article  Google Scholar 

  • World Bank: World Bank development report 1992: “Development and the Environment”, (1992)

  • Xepapadeas, A.: Economic development and environmental pollution: traps and growth. Struct Change Econ Dyn 8, 327–350 (1997)

    Article  Google Scholar 

  • Yu, Z.H.: Environmental protection: a theory of direct and indirect competition for political influence. Rev Econ Stud 72, 269–286 (2005)

    Article  Google Scholar 

  • Zhang, J.: Environmental sustainability, nonlinear dynamics and chaos. Econ Theory 14, 489–500 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fabien Prieur.

Additional information

I would like to thank Alain Venditti, Mabel Tidball, Alain Jean-Marie and Thierry Bréchet for their helpfull comments and suggestions. I am deeply grateful to an anonymous referee whose comments have greatly improved the paper.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prieur, F. The environmental Kuznets curve in a world of irreversibility. Econ Theory 40, 57–90 (2009). https://doi.org/10.1007/s00199-008-0351-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00199-008-0351-y

Keywords

JEL Classification

Navigation