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Comparisons of Risk-based Decision Rules for the Application of Water Resources Planning and Management

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Abstract

Water resources planning and management are plagued with various uncertainties in that any chosen management alternative always has the possibility to be inferior to other competing alternatives. To facilitate risk-based decision making, the minimax expected opportunity loss (EOL) rule is applied for alternative selection. Two existing risk measures as well as EOL are compared and their implications in risk-based decision making are examined. It is shown that EOL can reflect more accurately the relative merit of two competing alternatives without suffering the pessimism and the counter-intuition of the other two risk measures considered herein. The minimax EOL rule is demonstrated through an application to a river basin management decision for improving the navigation. The results show that the correlation between outcomes of competing alternatives and decision maker’s acceptable risk are important in decision making under uncertainty.

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References

  • Apostolakis GE (2004) How useful is quantitative risk assessment? Risk Anal 24:515–520

    Article  Google Scholar 

  • Bawa VS, Lindenberg EB (1977) Capital market equilibrium in a mean-lower partial moment framework. J Financ Econ 5:189–200. doi:10.1016/0304-405x(77)90017-4

    Article  Google Scholar 

  • Bender MJ, Simonovic SP (2000) A fuzzy compromise approach to water resource systems planning under uncertainty. Fuzzy Sets Syst 115:35–44. doi:10.1016/S0165-0114(99)00025-1

    Article  Google Scholar 

  • Bonini CP (1975) Risk evaluation of investment projects. Omega 3:735–750. doi:10.1016/0305-0483(75)90075-4

    Article  Google Scholar 

  • Castro JL, Navarro M, Sanchez JM, Zurita JM (2009) Loss and gain functions for CBR retrieval. Inf Sci 179:1738–1750. doi:10.1016/j.ins.2009.01.017

    Article  Google Scholar 

  • Christoffersen PF (2003) Elements of Financial Risk Management. Academic, Amsterdam, Boston

    Google Scholar 

  • de Kort IAT, Booij MJ (2007) Decision making under uncertainty in a decision support system for the Red River. Environmental Modelling &amp. Software 22:128–136. doi:10.1016/j.envsoft.2005.07.014

    Google Scholar 

  • Despic O, Simonovic SP (2000) Aggregation operators for soft decision making in water resources. Fuzzy Sets Syst 115:11–33. doi:10.1016/S0165-0114(99)00030-5

    Article  Google Scholar 

  • Duchesne S, Beck MB, Reda ALL (2001) Ranking stormwater control strategies under uncertainty. The River Cam case study Water Sci Technol 43:311–320

    Google Scholar 

  • Estrada J (2007) Mean-semivariance behavior: downside risk and capital asset pricing. International review of economics &amp. Finance 16:169–185. doi:10.1016/j.iref.2005.03.003

    Google Scholar 

  • Hadar J, Russell WR (1969) Rules for ordering uncertain prospects. Am Econ Rev 59:25–34

    Google Scholar 

  • Hanoch G, Levy H (1969) The efficiency analysis of choices involving risk. Rev Econ Stud 36:335–346

    Article  Google Scholar 

  • Jenkins MW, Lund JR (2000) Integrating yield and shortage management under multiple uncertainties. J Water Resour Plann Manage 126:288–297

    Google Scholar 

  • Kangas J, Store R, Leskinen P, Mehtätalo L (2000) Improving the quality of landscape ecological forest planning by utilising advanced decision-support tools. For Ecol Manag 132:157–171. doi:10.1016/s0378-1127(99)00221-2

    Google Scholar 

  • Kaplan S, Garrick BJ (1981) On the quantitative definition of risk. Risk Anal 1:11–27. doi:10.1111/j.1539-6924.1981.tb01350.x

    Article  Google Scholar 

  • Markowitz HM (1952) Portfolio selection. J Financ 7:77–91

    Google Scholar 

  • Melching CS, Yoon CG (1996) Key sources of uncertainty in QUAL2E model of Passaic river. J Water Resour Plann Manage 122:105–113

    Google Scholar 

  • Miser HJ, Quade ES (1985) Handbook of systems analysis : overview of uses, procedures, applications, and practice. North-Holland, New York

    Google Scholar 

  • Park CS, Sharp-Bette GP (1990) Advanced engineering economics. Wiley, New York

    Google Scholar 

  • Parmigiani G, Inoue LYT (2009) Decision Theory: Principles and Approaches. Wiley series in probability and statistics. John Wiley & Sons, Chichester, West Sussex, U.K.; Hoboken, N.J.

  • Porter RB, Carey K (1974) Stochastic dominance as a risk analysis criterion. Decis Sci 5:10–21

    Article  Google Scholar 

  • Quirk JP, Saposnik R (1962) Admissibility and measurable utility functions. Rev Econ Stud 29:140–146

    Article  Google Scholar 

  • Roy AD (1952) Safety first and the holding of assets. Econometrica 20:431–449

    Article  Google Scholar 

  • Schoustra F, Mockett I, van Gelder P, Simm J (2004) A new risk-based design approach for hydraulic engineering. J Risk Res 7:581–597

    Article  Google Scholar 

  • Simonović SP (2012) Floods in a Changing Climate: Risk Management [electronic resource]./Slobodan P. Simonović. International Hydrology Series. Cambridge : Cambridge University Press, 2012,

  • Stewart MG, Rosowsky DV, Val DV (2001) Reliability-based bridge assessment using risk-ranking decision analysis. Struct Saf 23:397–405

    Article  Google Scholar 

  • Su H-T, Tung Y-K (2013) Flood-damage-reduction project evaluation with explicit consideration of damage cost uncertainty. J Water Resour Plann Manage 139:704–711. doi:10.1061/(ASCE)WR.1943-5452.0000291

    Google Scholar 

  • Teegavarapu RSV, Simonovic SP (1999) Modeling uncertainty in reservoir loss functions using fuzzy sets. Water Resour Res 35:2815–2823. doi:10.1029/1999wr900165

    Article  Google Scholar 

  • Tung Y-K (1987) Effects of uncertainties on optimal risk-based design of hydraulic structures. J Water Resour Plann Manage 113:709–722

    Google Scholar 

  • Tung Y-K (1994) Probabilistic hydraulic design: a next step to experimental hydraulics. J Hydraul Res 32:323–336. doi:10.1080/00221689409498736

    Article  Google Scholar 

  • Tung Y-K (2005) Flood defense systems design by risk-based approaches. Water Int 30:50–57. doi:10.1080/02508060508691836

    Article  Google Scholar 

  • Tung Y-K, Wang P-Y, Yang J-C (1993) Water resource projects evaluation and ranking under economic uncertainty. Water Resour Manage 7:311–333. doi:10.1007/bf00872287

    Google Scholar 

  • Tung Y-K, Yang J-C (1994) Probabilistic evaluations of economic merit of water resource projects. Water Resour Manage 8:203–223. doi:10.1007/bf00877087

    Google Scholar 

  • Vreugdenhil CB (2006) Appropriate models and uncertainties. Coast Eng 53:303–310. doi:10.1016/j.coastaleng.2005.10.017

    Article  Google Scholar 

  • Walker WE, Harremoës P, Rotmans J, van der Sluijs JP, van Asselt MBA, Janssen P, Krayer von Krauss MP (2003) Defining uncertainty: a conceptual basis for uncertainty management in model-based decision support. Integr Assess 4:5–17. doi:10.1076/iaij.4.1.5.16466

    Article  Google Scholar 

  • Whitmore GA (1970) Third-degree stochastic dominance. Am Econ Rev 60:457–459

    Google Scholar 

  • Xu Y-P, Tung Y-K (2008) Decision-making in water management under uncertainty. Water Resour Manage 22:535–550. doi:10.1007/s11269-007-9176-x

    Google Scholar 

  • Xu YP (2005) Appropriate modelling in decision support systems for river basin management. Ph.D. Thesis, University of Twente

  • Xu YP, Tung YK (2009) Decision rules for water resources management under uncertainty. J Water Resour Plann Manage 135:149–159

    Google Scholar 

  • Xu YP, Tung YK, Li J, Niu SF (2009) Alternative risk measure for decision-making under uncertainty in water management. Prog Nat Sci 19:115–119

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Information and control 8:338-353 doi:http://dx.doi.org/10.1016/S0019-9958 (65) 90241-X

Download references

Acknowledgments

The study is supported by Hong Kong Research Grant Council for the project 620608 ‘Application of risk-based approach to hydrosystems.’

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Correspondence to Hsin-Ting SU.

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SU, HT., Tung, YK. Comparisons of Risk-based Decision Rules for the Application of Water Resources Planning and Management. Water Resour Manage 28, 3921–3935 (2014). https://doi.org/10.1007/s11269-014-0718-8

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  • DOI: https://doi.org/10.1007/s11269-014-0718-8

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