Skip to main content

Risk of Extreme Flood Losses under Uncertain Physical Conditions

  • Chapter

Part of the book series: NATO ASI Series ((NSSE,volume 275))

Abstract

Risk-based design for mitigating flood losses using extreme value theory can account for a varying or uncertain physical condition, such as the impact of a potential climate change on the return period of catastrophic floods. New results will be presented for characterizing the extreme tails of a flood loss probability distribution when the underlying distribution of flood peak discharge and the flood loss function are uncertain. Taking the conditional expected value of loss — given exceedance of a selected threshold as a measure of the risk of extreme events — the significance of an uncertain physical condition to the risk of extremes is quantifiable using the new results. Design actions can minimize the risk of extreme flood losses while accounting for inexact knowledge of the physical condition.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ang A.H.S. and Tang W.H. (1984). Chapter 4-Statistics of Extremes. Probability Concepts in Engineering Planning and Design, Volume II: Decision, Risk, and Reliability, John Wiley and Sons, New York.

    Google Scholar 

  • Asbeck E.L. and Haimes Y.Y. (1984). The partitioned multiobjective risk method (PMRM). Large Scale Systems, 6: 13–38.

    Google Scholar 

  • Bernier J. (1993). Quantitative analysis of uncertainties in water resources: Application to changes effects prediction (draft version). Engineering Risk and Reliability in a Changing Physical Environment. L. Duckstein and E. Parent, eds. this ASI Proceedings.

    Google Scholar 

  • Bobée B., Rasmussen P., Perreault L. and Ashkar F. (1993). Risk analysis of hydrologic data: Review and new developments. Engineering Risk and Reliability in a Changing Physical Environment. L. Duckstein and E. Parent, eds. this ASI Proceedings.

    Google Scholar 

  • Castillo E. (1988). Extreme Value Theory in Engineering. Academic Press, Boston.

    Google Scholar 

  • Changnon S.A. and Huff F.A. (1991). Potential effects of changed climates on heavy rainfall frequencies in the Midwest. Water Resources Bulletin, 27 (5): 753–759.

    Article  Google Scholar 

  • Galambos J. (1987). The Asymptotic Theory of Extreme Order Statistics. 2nd edition, John Wiley and Sons, New York.

    Google Scholar 

  • Haimes Y. Y., Lambert J.H. and Li D. (1992). Risk of extreme events in a multiobjective framework. Water Resources Bulletin, 28 (1): 201–209.

    Article  Google Scholar 

  • Karlsson P.O. and Haimes Y.Y. (1988a). Probability distributions and their partitioning. Water Resources Research, 24 (1): 21–29.

    Article  Google Scholar 

  • Karlsson P.O. and Haimes Y.Y. (1988b). Risk-based analysis of extreme events. Water Resources Research, 24 (1): 9–20.

    Article  Google Scholar 

  • Karlsson P.O. and Haimes Y.Y. (1989). Risk assessment of extreme events, an application. Journal of Water Resources Planning and Management, 115 (3): 299–320.

    Article  Google Scholar 

  • Kaufmann A. and Gupta M.M. (1988). Fuzzy Mathematical Models in Engineering and Management Science. Elsevier Science Publishers, New York.

    Google Scholar 

  • Lambert J.H. (1993). Risk Management of Extreme Events in Water Resources Systems Vulnerable to Climate Change. Ph.D. dissertation, Dept. of Civil Engineering, University of Virginia, Expected completion December 1993.

    Google Scholar 

  • Lambert J.H. and Li D. (1993). Evaluating risk of extreme events, results for monotonic functions. To appear in ASCE Journal of Water Resources Planning and Management, accepted for publication January 1993.

    Google Scholar 

  • Mahlman J.D. (1989). Mathematical modeling of greenhouse warming, How much do we know ? Global change and our common future. Papers from a Forum, National Academy Press, R.S. DeFries and T.S. Malone, eds., Washington, D.C.

    Google Scholar 

  • Mitsiopoulos J., Haimes Y.Y. and Li D. (1991). Approximating catastrophic risk through statistics of extremes. Water Resources Research, 27:1223–30.

    Article  Google Scholar 

  • National Academy of Sciences (1992). Policy Implications of Greenhouse Warming, Mitigation, Adaptation, and the Science Base. Panel on Policy Implications of Greenhouse Warming, National Academy Press, Washington, D.C.

    Google Scholar 

  • Petrakian R., Haimes Y.Y., Stakhiv E.Z. and Moser D.A. (1989). Risk analysis of dam failure and extreme floods, in Risk Analysis and Management of Natural and Man-made Hazards. American Society of Civil Engineers, Y.Y. Haimes and E. Stakhiv, eds., N.Y., pp. 81–122.

    Google Scholar 

  • Rescher N. (1983). Risk, A Philosophical Introduction to the Theory of Risk Evaluation and Management. University Press of America, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Lambert, J.H., Li, D., Haimes, Y.Y. (1994). Risk of Extreme Flood Losses under Uncertain Physical Conditions. In: Duckstein, L., Parent, E. (eds) Engineering Risk in Natural Resources Management. NATO ASI Series, vol 275. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8271-1_20

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8271-1_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4441-9

  • Online ISBN: 978-94-015-8271-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics