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Optimal pollution control, irreversibilities, and the value of future information

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Abstract

This paper focuses on the issue of optimal pollution control when either pollution itself is irreversible or when some characteristic of the environmental resource is irreversibly destroyed in the course of growing pollution. It is shown that exhausting the assimilative capacity through too heavy pollution is never optimal unless the rate of social time preference is sufficiently high. The paper also investigates the case that decisions about irreversible developments have to be made under uncertainty today when the decision maker faces the prospect of better information about the irreversible damage at some future point in time. A non-negative quasi-option value is shown to exist as in the Arrow-Fisher-Henry model that relates to natural resource deletion by projects of industrial development.

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References

  1. K.J. Arrow and A.C. Fisher, Environmental preservation, uncertainty, and irreversibility, Quart. J. Econ. 88(1974)312–319.

    Google Scholar 

  2. R.C. Bishop, Resource valuation under uncertainty: Theoretical principles for empirical research, in:Risk, Uncertainty, and the Valuation of Benefits and Costs, ed. V.K. Smith (JAI Press, Greenwich CT, 1986) pp. 133–152.

    Google Scholar 

  3. P. Dasgupta, G. Heal and M. Majumdar, Resource depletion and research and development, in:Frontiers of Quantitative Economics, vol. 3B, ed. M.D. Intrilligator (Amsterdam, 1976).

  4. H.R. Clarke and W.J. Reed, Land development and wilderness conservation policies under uncertainty. A synthesis, Manuscript, Department of Economics, La Trobe University (1988).

  5. K. Fiedler, Naturwissenschaftliche Grundlagen natürlicher Selbstreinigungsprozesse in Wasserressourcen, Zeits. Umweltpolitik und Umweltrecht (1994).

  6. A.C. Fisher and W.M. Hanemann, Option value and the extinction of species, in:Risk, Uncertainty, and the Valuation of Benefits and Costs, ed. V.K. Smith (JAI Press, Greenwich, CT, 1986) pp. 169–190.

    Google Scholar 

  7. A.M. Freeman III, Uncertainty and environmental policy: The role of option and quasi-option values, in:Risk, Uncertainty, and the Valuation of Benefits and Costs, ed. V.K. Smith (JAI Press, Greenwich, CT, 1986) pp. 153–167.

    Google Scholar 

  8. X. Freixas and J.-J. Laffont, On the irreversibility effect, in:Bayesian Models in Economic Theory, ed. M. Boyer and R.E. Kiehlstrom (Elsevier Science, Amsterdam, 1984) pp. 105–114.

    Google Scholar 

  9. C. Henry, Option values in the economics of irreplaceable assets,The Review of Economic Studies, Symp. on the Economics of Exhaustible Resources (1974) pp. 89–104.

  10. D.H. Jacobson, M.M. Lele and J.L. Speyer, New necessary conditions of optimality for control problems with state-dependent inequality constraints, J. Math. Anal. Appl. 35(1971)255–284.

    Article  Google Scholar 

  11. M.I. Kamien and N.L. Schwartz, Optimal exhaustible resource depletion with endogenous technical change, Rev. Econ. Studies 45(1978)179–196.

    Google Scholar 

  12. E. Keeler, M. Spence and R. Zeckhauser, The optimal control of pollution, J. Econ. Theory 4(1971)19–34.

    Article  Google Scholar 

  13. J.V. Krutilla and C.J. Cicchetti, Evaluating benefits of environmental resources with special application to the Hell's Canyon, Natural Resources J. 12(1972)1–29.

    Google Scholar 

  14. K.-G. Mäler, Critical loads and international environmental cooperation, in:Conflicts and Cooperation in Managing Environmental Resources, ed. R. Pethig (Springer, Berlin/Heidelberg, 1992) pp. 71–83.

    Google Scholar 

  15. J. Miller and F. Lad, Flexibility, learning, and irreversibility in environmental decisions: A Bayesian approach, J. Env. Econ. Manag. 11(1984)161–172.

    Article  Google Scholar 

  16. R. Pethig,Umweltökonomische Allokation mit Emissionssteuern (J.C.B. Mohr (Paul Siebeck), Tübingen, 1979).

    Google Scholar 

  17. R. Pethig, Problems of irreversibility in the control of persistent pollutants, in:Persistent Pollutants: Economics and Policy, ed. H. Opschoor and D.W. Pearce (Kluwer, Dordrecht, 1991) pp. 93–103.

    Google Scholar 

  18. R. Pethig, Ecological dynamics and the valuation of environmental change, in:Valuing the Environment: Methodological and Measurement Issues, ed. R. Pethig (Kluwer, Dordrecht, 1994) pp. 3–21.

    Google Scholar 

  19. F. van der Ploeg and C. Withagen, Pollution control and the Ramsey problem, Env. Resource Econ. 1(1991)215–236.

    Article  Google Scholar 

  20. R.S. Pindyck, Irreversibility, uncertainty and investment, J. Econ. Literature 29(1991)1110–1148.

    Google Scholar 

  21. H.-W. Sinn, The economic theory of species extinction: Comment on Smith, J. Env. Econ. Manag. 9(1982)194–198.

    Article  Google Scholar 

  22. V.L. Smith, Control theory applied to natural and environmental resources. An exposition, J. Env. Econ. Manag. 4(1977)1–24.

    Google Scholar 

  23. D.A. Starrett, Fundamental nonconvexities in the theory of externalities, J. Econ. Theory 4(1972)180–199.

    Article  Google Scholar 

  24. R. Svento, Welfare measurement under uncertainty, in:Valuing the Environment: Methodological and Measurement Issues, ed. R. Pethig (Kluwer, Dordrecht, 1994) pp. 129–150.

    Google Scholar 

  25. B.A. Weisbrod, Collective-consumption services of individual-consumption goods, Quart. J. Econ. 78(1964)471–477.

    Google Scholar 

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Pethig, R. Optimal pollution control, irreversibilities, and the value of future information. Ann Oper Res 54, 217–235 (1994). https://doi.org/10.1007/BF02031735

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