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Effect of Extraordinary Large Floods on at-site Flood Frequency

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Abstract

The peak flow of extraordinary large floods that occur during a period of systematic record is a controversial problem for flood frequency analysis (FFA) using traditional methods. The present study suggests that such floods be treated as historic flood data even though their historical period is unknown. In this paper, the extraordinary large flood peak was first identified using statistical outlier tests and normal probability plots. FFA was then applied with and without the extraordinary large floods. In this step, two goodness-of-fit tests including mean absolute relative deviation and mean squared relative deviation were used to identify the best-fit probability distributions. Next, the generalized extreme value (GEV), three-parameter lognormal (LN3), log-Pearson type III (LP3), and Wakeby (WAK) probability distributions were used to incorporate and adjust the extraordinary large floods with other systematic data. Finally, procedures with and without historical adjustment were compared for the extraordinary large floods in terms of goodness-of-fit and flood return-period quantiles. The results of this comparison indicate that historical adjustment from an operational perspective was more viable than without adjustment procedure. Furthermore, the results without adjustment were unreasonable (subject to over- and under-estimation) and produced physically unrealistic estimates that were not compatible with the study area. The proposed approach substantially improved the probability estimation of rare floods for efficient design of hydraulic structures, risk analysis, and floodplain management.

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References

  • ABOM (2012) State of the climate report. Australian Bureau of Meteorology, Melbourne

    Google Scholar 

  • Alberta Transportation (2001) Guidelines on flood frequency analysis. Civil Projects Branch, Edmonton

    Google Scholar 

  • Benson MA (1968) Uniform flood-frequency estimating methods for Federal Agencies. Water Resour Res 4:891–908. doi:10.1029/WR004i005p00891

    Article  Google Scholar 

  • Cohn TA, Stedinger JR (1987) Use of historical information in a maximum-likelihood framework. J Hydrol 96:215–223. doi:10.1016/0022-1694(87)90154-5

    Article  Google Scholar 

  • Cohn TA, Lane WL, Baier WG (1997) An algorithm for computing moments-based flood quantile estimates when historical flood information is available. Water Resour Res 33:2089–2096. doi:10.1029/97WR01640

    Article  Google Scholar 

  • Cunnane C (1989) Statistical distributions for flood frequency analysis. Operational Hydrology Report (WMO)

  • England JF Jr, Jarrett RD, Salas JD (2003) Data-based comparisons of moments estimators using historical and paleoflood data. J Hydrol 278:172–196. doi:10.1016/S0022-1694(03)00141-0

    Article  Google Scholar 

  • Francés F (1998) Using the TCEV distribution function with systematic and non-systematic data in a regional flood frequency analysis. Stoch Hydrol Hydraul 12:267–283. doi:10.1007/s004770050021

    Article  Google Scholar 

  • Frances F, Salas JD, Boes DC (1994) Flood frequency analysis with systematic and historical or paleoflood data based on the two-parameter general extreme value models. Water Resour Res 30:1653–1664. doi:10.1029/94WR00154

    Article  Google Scholar 

  • Grubbs FE, Beck G (1972) Extension of sample sizes and percentage points for significance tests of outlying observations. Technometrics 14:847–854. doi:10.1080/00401706.1972.10488981

    Article  Google Scholar 

  • Halbert K, Nguyen CC, Payrastre O, Gaume E (2016) Reducing uncertainty in flood frequency analyses: a comparison of local and regional approaches involving information on extreme historical floods. J Hydrol 541(Part A):90–98. doi:10.1016/j.jhydrol.2016.01.017

    Article  Google Scholar 

  • Hamed K, Rao AR (1999) Flood frequency analysis. CRC press, Boca Raton

    Google Scholar 

  • Hawkins DM (1980) Identification of outliers, vol 11. Springer, New York

    Book  Google Scholar 

  • HFAWG (2008) Bulletin 17-B guidelines for determining flood frequency, frequently asked questions. Water Information Coordination Program, Advisory Committee on Water Information, Subcommittee on Hydrology, Hydrologic Frequency Analysis Work Group

  • Houghton JC (1978) Birth of a parent: the Wakeby distribution for modeling flood flows. Water Resour Res 14:1105–1109. doi:10.1029/WR014i006p01105

    Article  Google Scholar 

  • IACWD (1982) Guidelines for determining flood flow frequency: Bulletin 17B, U.S. Geological Survey, Office of Water Data Coordination, Reston, VA.

  • Kamal V et al (2016) Flood frequency analysis of Ganga river at Haridwar and Garhmukteshwar. Appl Water Sci:1–8. doi:10.1007/s13201-016-0378-3

  • Kjeldsen TR et al (2014) Documentary evidence of past floods in Europe and their utility in flood frequency estimation. J Hydrol 517:963–973. doi:10.1016/j.jhydrol.2014.06.038

    Article  Google Scholar 

  • Lam, D, Thompson C, Croke J, Sharma A, Macklin M (2017) Reducing uncertainty with flood frequency analysis: The contribution of paleoflood and historical flood information. Water Resour Res 53:2312–2327. doi:10.1002/2016WR019959

  • Lamontagne JR, Stedinger JR, Yu X, Whealton CA, Xu Z (2016) Robust flood frequency analysis: performance of EMA with multiple Grubbs-Beck outlier tests. Water Resour Res 52:3068–3084. doi:10.1002/2015WR018093

    Article  Google Scholar 

  • LAR (2000) Comprehensive plan of flooding in Golestan Province. Lar Consulting Engineers 10:3:A

    Google Scholar 

  • Mohammadpour O, Hassanzadeh Y, Khodadadi A, Saghafian B (2014) Selecting the best flood flow frequency model using multi-criteria group decision-making. Water Resour Manag 28:3957–3974. doi:10.1007/s11269-014-0720-1

    Article  Google Scholar 

  • NRC (1988) Estimating probabilities of extreme floods: methods and recommended research. National Research Council, Committee on Techniques for Estimating Probabilities of Extreme Floods, Washington, DC

  • Öztekin T (2011) Estimation of the parameters of Wakeby distribution by a numerical least squares method and applying it to the annual peak flows of Turkish rivers. Water Resour Manag 25:1299–1313. doi:10.1007/s11269-010-9745-2

    Article  Google Scholar 

  • Parkes B, Demeritt D (2016) Defining the hundred year flood: a Bayesian approach for using historic data to reduce uncertainty in flood frequency estimates. J Hydrol 540:1189–1208

    Article  Google Scholar 

  • Payrastre O, Gaume E, Andrieu H (2013) Historical information and flood frequency analyses: which optimal features for historical floods inventories? Houille Blanche-Revue Internationale De L Eau pp 5–11

  • Pilon P, Harvey K (1994) Consolidated frequency analysis (CFA), version 3.1. Reference Manual Environment Canada, Ottawa

  • Rahman A, Rahman A, Zaman M, Haddad K, Ahsan A, Imteaz M (2013) A study on selection of probability distributions for at-site flood frequency analysis in Australia. Nat Hazards 69:1803–1813. doi:10.1007/s11069-013-0775-y

    Article  Google Scholar 

  • Saghafian B, Golian S, Ghasemi A (2014) Flood frequency analysis based on simulated peak discharges. Nat Hazards 71:403–417. doi:10.1007/s11069-013-0925-2

    Article  Google Scholar 

  • Salinas JL, Kiss A, Viglione A, Viertl R, Blöschl G (2016) A fuzzy Bayesian approach to flood frequency estimation with imprecise historical information. Water Resour Res 52:6730–6750

    Article  Google Scholar 

  • Sharifi F, Saghafian B, Telvari A (2002) The Great 2001 flood in Golestan Province, Iran: Causes and Consequences. In: Proceedings of the International Conference on Flood Estimation, March 2002, Bern, Switzerland, pp. 263–271.

  • Sheshangosht S, Saghafian B, Koohian Afzal F (2010) Developemnt of Golestan Dam (Gorganrud river) flood warning system, Physiographic studies Interagency Advisory Committee on Water Data. Technical report Water Research Institute

  • Spencer C, McCuen R (1996) Detection of outliers in Pearson type III data. J Hydrol Eng 1:2–10. doi:10.1061/(ASCE)1084-0699(1996)1:1(2)

    Article  Google Scholar 

  • Strupczewski WG, Kochanek K, Bogdanowicz E (2014) On return Periodof the largest historical flood. Journal of Geoscience and Environment Protection 2:144

    Article  Google Scholar 

  • USWRC (1982) Guidelines for determining flood flow frequency. Bulletin 17B (revised and corrected). U.S. Geological Survey, Office of Water Data Coordination, Reston

    Google Scholar 

  • Zhang W et al (2017) Flood frequency analysis for alterations of extreme maximum water levels in the Pearl River Delta. Ocean Eng 129:117–132. doi:10.1016/j.oceaneng.2016.11.013

    Article  Google Scholar 

Download references

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Correspondence to Bahram Saghafian.

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Heidarpour, B., Saghafian, B., Yazdi, J. et al. Effect of Extraordinary Large Floods on at-site Flood Frequency. Water Resour Manage 31, 4187–4205 (2017). https://doi.org/10.1007/s11269-017-1739-x

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  • DOI: https://doi.org/10.1007/s11269-017-1739-x

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