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Selecting the Best Flood Flow Frequency Model Using Multi-Criteria Group Decision-Making

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  • Osman Mohammadpour
  • Yousef Hassanzadeh
  • Ahmad Khodadadi
  • Bahram Saghafian

Abstract

Several criteria should be considered when selecting a probability distribution to describe hydrological data. This study examines how multiple criteria can be combined to make the best selection. Selection becomes more difficult and subjective when more than two criteria are used to determine the best distribution. Under these conditions, multi-criteria decision-making is necessary. In this study, 12 distributions were tested and compared for flood frequency analysis based on five selection criteria: root mean square error, Kolmogorov-Smirnov test statistic, relative average bias, modified Anderson-Darling test, and deviation in skewness and kurtosis. The comparisons are made using a multi-criteria group decision-making (MCGDM) based on ordered weighted averaging (OWA). Two preemptive goal programming models based on variance and entropy methods for a predetermined level of optimism by a group of decision-makers, determined the weight of the OWA operator. The model was applied to a case study of Mahabad River, a major river flowing into Lake Urmia in northwestern Iran. A sensitivity analysis of the results of MCGDM was done by changing the degree of optimism of the decision-makers. The results of sensitivity analysis showed the dependence of the rankings to the optimism degrees of the decision-makers. The 3-parameter Weibull (WBL3) and Pearson type 3 (PE3) distributions had the best results for Mahabad River flood data. A Monte Carlo simulation was conducted to test the ability of the models. It was concluded from the findings of the simulation that the PE3 distribution is the most appropriate for short sample sizes, while WBL3 is preferable for larger sample sizes. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Osman Mohammadpour & Yousef Hassanzadeh & Ahmad Khodadadi & Bahram Saghafian, 2014. "Selecting the Best Flood Flow Frequency Model Using Multi-Criteria Group Decision-Making," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(12), pages 3957-3974, September.
    • Handle: RePEc:spr:waterr:v:28:y:2014:i:12:p:3957-3974
    DOI: 10.1007/s11269-014-0720-1
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    References listed on IDEAS

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    1. M. Verma & R. Shrivastava & R. Tripathi, 2010. "Evaluation of Min–Max, Weighted and Preemptive Goal Programming Techniques with Reference to Mahanadi Reservoir Project Complex," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(2), pages 299-319, January.
    2. Ayesha Rahman & Ataur Rahman & Mohammad Zaman & Khaled Haddad & Amimul Ahsan & Monzur Imteaz, 2013. "A study on selection of probability distributions for at-site flood frequency analysis in Australia," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 69(3), pages 1803-1813, December.
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    4. Cengiz Kahraman & Semra Birgün & Vedat Zeki Yenen, 2008. "Fuzzy Multi-Attribute Scoring Methods with Applications," Springer Optimization and Its Applications, in: Cengiz Kahraman (ed.), Fuzzy Multi-Criteria Decision Making, pages 187-208, Springer.
    5. Stefan Hajkowicz & Kerry Collins, 2007. "A Review of Multiple Criteria Analysis for Water Resource Planning and Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(9), pages 1553-1566, September.
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    Cited by:

    1. Arash Malekian & Ali Azarnivand, 2016. "Application of Integrated Shannon’s Entropy and VIKOR Techniques in Prioritization of Flood Risk in the Shemshak Watershed, Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 409-425, January.
    2. Arash Malekian & Ali Azarnivand, 2016. "Application of Integrated Shannon’s Entropy and VIKOR Techniques in Prioritization of Flood Risk in the Shemshak Watershed, Iran," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 409-425, January.
    3. Bagher Heidarpour & Bahram Saghafian & Jafar Yazdi & Hazi Mohammad Azamathulla, 2017. "Effect of Extraordinary Large Floods on at-site Flood Frequency," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(13), pages 4187-4205, October.

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