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Concept of Equivalent Reliability for Estimating the Design Flood under Non-stationary Conditions

Author

Listed:
  • Yiming Hu

    (Hohai University
    Hohai University
    Hohai University)

  • Zhongmin Liang

    (Hohai University
    Hohai University
    National Cooperative Innovation Center for Water Safety & Hydro-Science)

  • Vijay P. Singh

    (Texas A&M University)

  • Xuebin Zhang

    (Climate Research Division, Environment Canada)

  • Jun Wang

    (Hohai University)

  • Binquan Li

    (Hohai University)

  • Huimin Wang

    (Hohai University
    Hohai University)

Abstract

Stationary hydrological frequency analysis (SHFA) has been commonly employed for estimating the design flood in most countries. Fundamental to applying SHFA is the assumption that the data series is stationary. In theory it is not applicable if the series is non-stationary. In this paper, we propose a concept of Equivalent Reliability (ER) to estimate the design flood under non-stationary conditions, which considers the impact of design life period of an engineering on design flood. ER implies that regardless of environmental changes, the design reliability of engineering under non-stationary conditions should be identical with the planned design reliability specified at the stage of the engineering planning. ER is expected to solve two key questions: (i) to estimate the design flood with a given return period for an engineering to be constructed, and (ii) to adjust the original design flood of an already constructed engineering to obtain a new design flood for making the engineering adapt to the changing conditions. Two experiments are provided to demonstrate how to employ ER to solve the above two questions. In addition, an example of annual peak flow series was also used to illustrate ER. Results show that the design life poses a considerable impact on the estimation of design flood and the uncertainty of parameter estimations leads to a non-negligible uncertainty on the estimation of design flood. Overall, ER can be a potential method for estimation of design flood under non-stationary conditions.

Suggested Citation

  • Yiming Hu & Zhongmin Liang & Vijay P. Singh & Xuebin Zhang & Jun Wang & Binquan Li & Huimin Wang, 2018. "Concept of Equivalent Reliability for Estimating the Design Flood under Non-stationary Conditions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 997-1011, February.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:3:d:10.1007_s11269-017-1851-y
    DOI: 10.1007/s11269-017-1851-y
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    References listed on IDEAS

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    1. L. Vasiliades & P. Galiatsatou & A. Loukas, 2015. "Nonstationary Frequency Analysis of Annual Maximum Rainfall Using Climate Covariates," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 339-358, January.
    2. Runtong Zhang & Zhenji Zhang & Kecheng Liu & Juliang Zhang (ed.), 2015. "Liss 2013," Springer Books, Springer, number 978-3-642-40660-7, October.
    3. James Ming Chen, 2017. "Risk and Uncertainty," Quantitative Perspectives on Behavioral Economics and Finance, in: Econophysics and Capital Asset Pricing, chapter 0, pages 189-211, Palgrave Macmillan.
    4. Xuebin Zhang & Francis W. Zwiers & Gabriele C. Hegerl & F. Hugo Lambert & Nathan P. Gillett & Susan Solomon & Peter A. Stott & Toru Nozawa, 2007. "Detection of human influence on twentieth-century precipitation trends," Nature, Nature, vol. 448(7152), pages 461-465, July.
    5. Lihua Xiong & Tao Du & Chong-Yu Xu & Shenglian Guo & Cong Jiang & Christopher Gippel, 2015. "Non-Stationary Annual Maximum Flood Frequency Analysis Using the Norming Constants Method to Consider Non-Stationarity in the Annual Daily Flow Series," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3615-3633, August.
    6. Jianzhu Li & Senming Tan, 2015. "Nonstationary Flood Frequency Analysis for Annual Flood Peak Series, Adopting Climate Indices and Check Dam Index as Covariates," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(15), pages 5533-5550, December.
    7. Zhenji Zhang & Zuojun Max Shen & Juliang Zhang & Runtong Zhang (ed.), 2015. "Liss 2014," Springer Books, Springer, edition 127, number 978-3-662-43871-8, October.
    8. J. Rolf Olsen & James H. Lambert & Yacov Y. Haimes, 1998. "Risk of Extreme Events Under Nonstationary Conditions," Risk Analysis, John Wiley & Sons, vol. 18(4), pages 497-510, August.
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    Cited by:

    1. Leandro José Isensee & Adilson Pinheiro & Daniel Henrique Marco Detzel, 2021. "Dam Hydrological Risk and the Design Flood Under Non-stationary Conditions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(5), pages 1499-1512, March.
    2. Lei Yan & Lihua Xiong & Qinghua Luan & Cong Jiang & Kunxia Yu & Chong-Yu Xu, 2020. "On the Applicability of the Expected Waiting Time Method in Nonstationary Flood Design," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(8), pages 2585-2601, June.

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