Abstract
Design flood, which plays a paramount role in reservoir construction and operation, is often calculated by the annual maximum sampling method (AMSM). However, the AMSM can only use a small amount of data and reflect the extreme value distribution of inflow flood. As a result, the annual maximum design flood or the seasonal design flood is not sufficient to formulate the reservoir operation scheme in whole life cycle. Currently, studies analyzing the sample selection method of design flood and the way to make design flood close to inflow flood are rare. To this end, an improved peaks-over-threshold method (IPOT) was designed. Together with the time-varying parameters with Poisson distribution model, we used the IPOT to calculate a new type time-varying design flood in this study and took Longyangxia Reservoir in China as a case study. Results indicate that, compared with the AMSM, the IPOT enhances the physical correlation between sample individuals by increasing data use rate and determines the optimal threshold, which avoids the influence of human factors on the sample selection. Moreover, the time-varying design flood can fully reflect the characteristics of inflow flood and combine the design flood value with time and probability to establish an inflow flood identification model. According to this model, managers can assess the probability and type of inflow flood and choose the appropriate reservoir operation scheme. Findings of this study, including the IPOT, the time-varying design flood and the inflow flood identification model are helpful for water resources planning and management.
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Data Availability
Data for this study can be downloaded from the YRCC webpage (http://www.yrcc.gov.cn/). The code is available from the corresponding author upon reasonable request.
References
Ammar ME, Gharib A, Islam Z, Davies EGR, Seneka M, Faramarzi M (2020) Future floods using hydroclimatic simulations and peaks over threshold: An alternative to nonstationary analysis inferred from trend tests. Adv Water Resour 136:103463. https://doi.org/10.1016/j.advwatres.2019.103463
Fang Y, Wang Y, Liu Q, Luo K, Liu Z (2021) Optimization of water resource dispatching for Huanghua port under uncertain water usage scenario. Sci Total Environ 751:141597. https://doi.org/10.1016/j.scitotenv.2020.141597
Fischer S (2018) A seasonal mixed-POT model to estimate high flood quantiles from different event types and seasons. J Appl Stat 45(15):2831–2847. https://doi.org/10.1080/02664763.2018.1441385
Gangrade S, Kao S, Dullo TT, Kalyanapu AJ, Preston BL (2019) Ensemble-based flood vulnerability assessment for probable maximum flood in a changing environment. J Hydrol 576:342–355. https://doi.org/10.1016/j.jhydrol.2019.06.027
Gore JA, Banning J. (2017). Discharge measurements and streamflow analysis methods in stream ecology (49–70): Elsevier. https://doi.org/10.1016/B978-0-12-416558-8.00003-2
Guo A, Chang J, Wang Y, Huang Q, Li Y (2020a) Uncertainty quantification and propagation in bivariate design flood estimation using a Bayesian information-theoretic approach. J Hydrol 584:124677. https://doi.org/10.1016/j.jhydrol.2020.124677
Guo Y, Hou S, Wang P, Zhao J (2020b) The impacts of reservoirs on runoff in the upper Yellow River, China. IOP conference series. Earth Environ Sci 474:62025. https://doi.org/10.1088/1755-1315/474/6/062025
Koutsoyiannis D (2019) Simple stochastic simulation of time irreversible and reversible processes. Hydrol Sci J 65(4):536–551. https://doi.org/10.1080/02626667.2019.1705302
Latif S, Mustafa F (2020) Copula-based multivariate flood probability construction: a review. Arab J Geosci 13(3). https://doi.org/10.1007/s12517-020-5077-6
Lee O, Sim I, Kim S (2020) Application of the non-stationary peak-over-threshold methods for deriving rainfall extremes from temperature projections. J Hydrol 585:124318. https://doi.org/10.1016/j.jhydrol.2019.124318
Lei G, Wang W, Yin J, Wang H, Xu D, Tian J (2019) Improved fuzzy weighted optimum curve-fitting method for estimating the parameters of a Pearson type-III distribution. Hydrol Sci J 64(16):2115–2128. https://doi.org/10.1080/02626667.2019.1620950
Li J, Huang J, Li J (2018) Study on reservoir time-varying design flood of inflow based on Poisson process with time-dependent parameters. Proceedings of the International Association of Hydrological Sciences 379:119–123. https://doi.org/10.5194/piahs-379-119-2018
Li P, Sheng M, Yang D, Tang L (2019) Evaluating flood regulation ecosystem services under climate, vegetation and reservoir influences. Ecol Indic 107:105642. https://doi.org/10.1016/j.ecolind.2019.105642
Liu G, Qin H, Shen Q, Tian R, Liu Y (2019) Multi-objective optimal scheduling model of dynamic control of flood limit water level for Cascade reservoirs. Water (Basel) 11(9):1836. https://doi.org/10.3390/w11091836
Lu S, Sun H, Sun D, Guo M, Bai X (2020) Assessment on reservoir flood resources utilization of Ankang reservoir, China. Resour Policy 68:101745. https://doi.org/10.1016/j.resourpol.2020.101745
Mehmood A, Jia S, Mahmood R, Yan J, Ahsan M (2019) Non-stationary Bayesian modeling of annual maximum floods in a changing environment and implications for flood Management in the Kabul River Basin, Pakistan. WATER-SUI 11(6):1246. https://doi.org/10.3390/w11061246
Nguyen-Huy T, Deo RC, Mushtaq S, Kath J, Khan S (2019) Copula statistical models for analyzing stochastic dependencies of systemic drought risk and potential adaptation strategies. Stoch Env Res Risk A 33(3):779–799. https://doi.org/10.1007/s00477-019-01662-6
Serinaldi F, Lombardo F, Kilsby CG (2020) All in order: distribution of serially correlated order statistics with applications to hydrological extremes. Adv Water Resour 144:103686. https://doi.org/10.1016/j.advwatres.2020.103686
Soriano E, Mediero L, Garijo C (2020) Quantification of expected changes in peak flow quantiles in climate change by combining continuous hydrological Modelling with the modified curve number method. Water Resour Manag 34(14):4381–4397. https://doi.org/10.1007/s11269-020-02670-w
Totaro V, Gioia A, Iacobellis V (2020) Numerical investigation on the power of parametric and nonparametric tests for trend detection in annual maximum series. Hydrol Earth Syst Sc 24(1):473–488. https://doi.org/10.5194/hess-24-473-2020
Try S, Tanaka S, Tanaka K, Sayama T, Lee G, Oeurng C (2020) Assessing the effects of climate change on flood inundation in the lower Mekong Basin using high-resolution AGCM outputs. Prog Earth Planet Sc 7(1). https://doi.org/10.1186/s40645-020-00353-z
Wang S (2000) A time-varying flood model with time-varying parameters and Poisson distribution. Hydropower and New Energy (04):18–21. https://doi.org/10.13622/j.cnki.cn42-1800/tv.2000.04.006
Wen T, Jiang C, Xu X (2019) Nonstationary analysis for bivariate distribution of flood variables in the Ganjiang River using time-varying copula. Water (Basel) 11(4):746. https://doi.org/10.3390/w11040746
Yan L, Xiong L, Luan Q, Jiang C, Yu K, Xu C (2020) On the applicability of the expected waiting time method in nonstationary flood design. Water Resour Manag 34(8):2585–2601. https://doi.org/10.1007/s11269-020-02581-w
Acknowledgements
The authors would like to give special thanks to the anonymous reviewers.
Funding
This study is financially supported by the National Key R&D Program of China (2016YFC0402208, 2016YFC0401903, 2017YFC0405900) and the National Natural Science Foundation of China (No. 51641901).
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Conceptualization: Jiqing Li, Jay R. Lund; Methodology: Jing Huang; Formal analysis and investigation: Jing Huang; Writing - original draft preparation: Jiqing Li, Jing Huang; Writing - review and editing: Xuefeng Chu; Funding acquisition: Jiqing Li; Supervision: Jay R. Lund, Xuefeng Chu.
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Li, J., Huang, J., Chu, X. et al. An Improved Peaks-Over-Threshold Method and its Application in the Time-Varying Design Flood. Water Resour Manage 35, 933–948 (2021). https://doi.org/10.1007/s11269-020-02758-3
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DOI: https://doi.org/10.1007/s11269-020-02758-3