Articles | Volume 23, issue 3
https://doi.org/10.5194/hess-23-1683-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/hess-23-1683-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Multivariate hydrologic design methods under nonstationary conditions and application to engineering practice
Cong Jiang
CORRESPONDING AUTHOR
School of Environmental Studies, China University of Geosciences,
Wuhan 430074, China
Lihua Xiong
State Key Laboratory of Water Resources and Hydropower Engineering
Science, Wuhan University, Wuhan 430072, China
Lei Yan
College of Water Conservancy and Hydropower, Hebei University of
Engineering, Handan 056002, China
Jianfan Dong
Guangxi Water Resources Management Center, Nanning 530023, China
Chong-Yu Xu
State Key Laboratory of Water Resources and Hydropower Engineering
Science, Wuhan University, Wuhan 430072, China
Department of Geosciences, University of Oslo, P.O. Box 1047 Blindern, 0316 Oslo, Norway
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Bin Xiong, Lihua Xiong, Jun Xia, Chong-Yu Xu, Cong Jiang, and Tao Du
Hydrol. Earth Syst. Sci., 23, 4453–4470, https://doi.org/10.5194/hess-23-4453-2019, https://doi.org/10.5194/hess-23-4453-2019, 2019
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We develop a new indicator of reservoir effects, called the rainfall–reservoir composite index (RRCI). RRCI, coupled with the effects of static reservoir capacity and scheduling-related multivariate rainfall, has a better performance than the previous indicator in terms of explaining the variation in the downstream floods affected by reservoir operation. A covariate-based flood frequency analysis using RRCI can provide more reliable downstream flood risk estimation.
Ruikang Zhang, Dedi Liu, Lihua Xiong, Jie Chen, Hua Chen, and Jiabo Yin
Hydrol. Earth Syst. Sci., 28, 5229–5247, https://doi.org/10.5194/hess-28-5229-2024, https://doi.org/10.5194/hess-28-5229-2024, 2024
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Flash flood warnings cannot be effective without people’s responses to them. We propose a method to determine the threshold of issuing warnings based on a people’s response process simulation. The results show that adjusting the warning threshold according to people’s tolerance levels to the failed warnings can improve warning effectiveness, but the prerequisite is to increase forecasting accuracy and decrease forecasting variance.
Zhen Cui, Shenglian Guo, Hua Chen, Dedi Liu, Yanlai Zhou, and Chong-Yu Xu
Hydrol. Earth Syst. Sci., 28, 2809–2829, https://doi.org/10.5194/hess-28-2809-2024, https://doi.org/10.5194/hess-28-2809-2024, 2024
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Ensemble forecasting facilitates reliable flood forecasting and warning. This study couples the copula-based hydrologic uncertainty processor (CHUP) with Bayesian model averaging (BMA) and proposes the novel CHUP-BMA method of reducing inflow forecasting uncertainty of the Three Gorges Reservoir. The CHUP-BMA avoids the normal distribution assumption in the HUP-BMA and considers the constraint of initial conditions, which can improve the deterministic and probabilistic forecast performance.
Tian Lan, Tongfang Li, Hongbo Zhang, Jiefeng Wu, Yongqin David Chen, and Chong-Yu Xu
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2024-118, https://doi.org/10.5194/hess-2024-118, 2024
Revised manuscript accepted for HESS
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This study develops an integrated framework based on the novel Driving index for changes in Precipitation-Runoff Relationships (DPRR) to explore the controls for changes in precipitation-runoff relationships in non-stationary environments. According to the quantitative results of the candidate driving factors, the possible process explanations for changes in the precipitation-runoff relationships are deduced. The main contribution offers a comprehensive understanding of hydrological processes.
Jinghua Xiong, Shenglian Guo, Abhishek, Jiabo Yin, Chongyu Xu, Jun Wang, and Jing Guo
Hydrol. Earth Syst. Sci., 28, 1873–1895, https://doi.org/10.5194/hess-28-1873-2024, https://doi.org/10.5194/hess-28-1873-2024, 2024
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Temporal variability and spatial heterogeneity of climate systems challenge accurate estimation of probable maximum precipitation (PMP) in China. We use high-resolution precipitation data and climate models to explore the variability, trends, and shifts of PMP under climate change. Validated with multi-source estimations, our observations and simulations show significant spatiotemporal divergence of PMP over the country, which is projected to amplify in future due to land–atmosphere coupling.
Kun Xie, Lu Li, Hua Chen, Stephanie Mayer, Andreas Dobler, Chong-Yu Xu, and Ozan Mert Gokturk
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2024-68, https://doi.org/10.5194/hess-2024-68, 2024
Preprint under review for HESS
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We compared extreme precipitations in Norway from convection-permitting models at 3 km resolution (HCLIM3) and regional climate model at 12 km (HCLIM12) and show that the HCLIM3 is more accurate than HCLIM12 in predicting the intense rainfalls that can lead to floods, especially at local scales. This is more clear in hourly extremes than daily. Our research suggests using more detailed climate models could improve forecasts, helping the local society brace for the impacts of extreme weather.
Danielle M. Barna, Kolbjørn Engeland, Thomas Kneib, Thordis L. Thorarinsdottir, and Chong-Yu Xu
EGUsphere, https://doi.org/10.5194/egusphere-2023-2335, https://doi.org/10.5194/egusphere-2023-2335, 2023
Preprint archived
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Estimating flood quantiles at data-scarce sites often involves single-duration regression models. However, floodplain management and reservoir design, for example, need estimates at several durations, posing challenges. Our flexible generalized additive model (GAM) enhances accuracy and explanation, revealing that single-duration models may underperform elsewhere, emphasizing the need for adaptable approaches.
Pengxiang Wang, Zuhao Zhou, Jiajia Liu, Chongyu Xu, Kang Wang, Yangli Liu, Jia Li, Yuqing Li, Yangwen Jia, and Hao Wang
Hydrol. Earth Syst. Sci., 27, 2681–2701, https://doi.org/10.5194/hess-27-2681-2023, https://doi.org/10.5194/hess-27-2681-2023, 2023
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Considering the impact of the special geological and climatic conditions of the Qinghai–Tibet Plateau on the hydrological cycle, this study established the WEP-QTP hydrological model. The snow cover and gravel layers affected the temporal and spatial changes in frozen soil and improved the regulation of groundwater on the flow process. Ignoring he influence of special underlying surface conditions has a great impact on the hydrological forecast and water resource utilization in this area.
Shanlin Tong, Weiguang Wang, Jie Chen, Chong-Yu Xu, Hisashi Sato, and Guoqing Wang
Geosci. Model Dev., 15, 7075–7098, https://doi.org/10.5194/gmd-15-7075-2022, https://doi.org/10.5194/gmd-15-7075-2022, 2022
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Plant carbon storage potential is central to moderate atmospheric CO2 concentration buildup and mitigation of climate change. There is an ongoing debate about the main driver of carbon storage. To reconcile this discrepancy, we use SEIB-DGVM to investigate the trend and response mechanism of carbon stock fractions among water limitation regions. Results show that the impact of CO2 and temperature on carbon stock depends on water limitation, offering a new perspective on carbon–water coupling.
Yujie Zeng, Dedi Liu, Shenglian Guo, Lihua Xiong, Pan Liu, Jiabo Yin, and Zhenhui Wu
Hydrol. Earth Syst. Sci., 26, 3965–3988, https://doi.org/10.5194/hess-26-3965-2022, https://doi.org/10.5194/hess-26-3965-2022, 2022
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The sustainability of the water–energy–food (WEF) nexus remains challenge, as interactions between WEF and human sensitivity and water resource allocation in water systems are often neglected. We incorporated human sensitivity and water resource allocation into a WEF nexus and assessed their impacts on the integrated system. This study can contribute to understanding the interactions across the water–energy–food–society nexus and improving the efficiency of resource management.
Pengxiang Wang, Zuhao Zhou, Jiajia Liu, Chongyu Xu, Kang Wang, Yangli Liu, Jia Li, Yuqing Li, Yangwen Jia, and Hao Wang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2021-538, https://doi.org/10.5194/hess-2021-538, 2021
Manuscript not accepted for further review
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Combining the geological characteristics of the thin soil layer on the thick gravel layer and the climate characteristics of the long-term snow cover of the Qinghai-Tibet Plateau, the WEP-QTP hydrological model was constructed by dividing a single soil structure into soil and gravel. In contrast to the general cold area, the special environment of the Qinghai–Tibet Plateau affects the hydrothermal transport process, which can not be ignored in hydrological forecast and water resource assessment.
Qifen Yuan, Thordis L. Thorarinsdottir, Stein Beldring, Wai Kwok Wong, and Chong-Yu Xu
Hydrol. Earth Syst. Sci., 25, 5259–5275, https://doi.org/10.5194/hess-25-5259-2021, https://doi.org/10.5194/hess-25-5259-2021, 2021
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Localized impacts of changing precipitation patterns on surface hydrology are often assessed at a high spatial resolution. Here we introduce a stochastic method that efficiently generates gridded daily precipitation in a future climate. The method works out a stochastic model that can describe a high-resolution data product in a reference period and form a realistic precipitation generator under a projected future climate. A case study of nine catchments in Norway shows that it works well.
Tian Lan, Kairong Lin, Chong-Yu Xu, Zhiyong Liu, and Huayang Cai
Hydrol. Earth Syst. Sci., 24, 5859–5874, https://doi.org/10.5194/hess-24-5859-2020, https://doi.org/10.5194/hess-24-5859-2020, 2020
Zhengke Pan, Pan Liu, Chong-Yu Xu, Lei Cheng, Jing Tian, Shujie Cheng, and Kang Xie
Hydrol. Earth Syst. Sci., 24, 4369–4387, https://doi.org/10.5194/hess-24-4369-2020, https://doi.org/10.5194/hess-24-4369-2020, 2020
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This study aims to identify the response of catchment water storage capacity (CWSC) to meteorological drought by examining the changes of hydrological-model parameters after drought events. This study improves our understanding of possible changes in the CWSC induced by a prolonged meteorological drought, which will help improve our ability to simulate the hydrological system under climate change.
Wenyan Qi, Jie Chen, Lu Li, Chong-yu Xu, Jingjing Li, Yiheng Xiang, and Shaobo Zhang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2020-127, https://doi.org/10.5194/hess-2020-127, 2020
Manuscript not accepted for further review
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Global hydrological models (GHMs) play important roles in global water resources estimation and it is difficult to obtain parameter values for GHMs. A framework is developed for building GHMs based on parameter regionalization of catchment scale conceptual hydrological models. Four different GHMs established based on this framework can produce reliable streamflow simulations. Over all, it can be used with any conceptual hydrological model even though uncertainty exists in using different models.
Quan Zhang, Huimin Lei, Dawen Yang, Lihua Xiong, Pan Liu, and Beijing Fang
Biogeosciences, 17, 2245–2262, https://doi.org/10.5194/bg-17-2245-2020, https://doi.org/10.5194/bg-17-2245-2020, 2020
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Research into climate change has been popular over the past few decades. Greenhouse gas emissions are found to be responsible for climate change. Among all the ecosystems, cropland is the main food source for mankind, therefore its carbon cycle and contribution to the global carbon balance interest us. Our evaluation of the typical wheat–maize rotation cropland over the North China Plain shows it is a net CO2 emission to the atmosphere and that emissions will continue to rise in the future.
Tian Lan, Kairong Lin, Chong-Yu Xu, Xuezhi Tan, and Xiaohong Chen
Hydrol. Earth Syst. Sci., 24, 1347–1366, https://doi.org/10.5194/hess-24-1347-2020, https://doi.org/10.5194/hess-24-1347-2020, 2020
Shaokun He, Shenglian Guo, Chong-Yu Xu, Kebing Chen, Zhen Liao, Lele Deng, Huanhuan Ba, and Dimitri Solomatine
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-586, https://doi.org/10.5194/hess-2019-586, 2020
Manuscript not accepted for further review
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Aiming at cascade impoundment operation, we develop a classification-aggregation-decomposition method to overcome the
curse of dimensionalityand inflow stochasticity problem. It is tested with a mixed 30-reservoir system in China. The results show that our method can provide lots of schemes to refer to different flood event scenarios. The best scheme outperforms the conventional operating rule, as it increases impoundment efficiency and hydropower generation while flood control risk is less.
Désirée Treichler, Andreas Kääb, Nadine Salzmann, and Chong-Yu Xu
The Cryosphere, 13, 2977–3005, https://doi.org/10.5194/tc-13-2977-2019, https://doi.org/10.5194/tc-13-2977-2019, 2019
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Glacier growth such as that found on the Tibetan Plateau (TP) is counterintuitive in a warming world. Climate models and meteorological data are conflicting about the reasons for this glacier anomaly. We quantify the glacier changes in High Mountain Asia using satellite laser altimetry as well as the growth of over 1300 inland lakes on the TP. Our study suggests that increased summer precipitation is likely the largest contributor to the recently observed increases in glacier and lake masses.
Bin Xiong, Lihua Xiong, Jun Xia, Chong-Yu Xu, Cong Jiang, and Tao Du
Hydrol. Earth Syst. Sci., 23, 4453–4470, https://doi.org/10.5194/hess-23-4453-2019, https://doi.org/10.5194/hess-23-4453-2019, 2019
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We develop a new indicator of reservoir effects, called the rainfall–reservoir composite index (RRCI). RRCI, coupled with the effects of static reservoir capacity and scheduling-related multivariate rainfall, has a better performance than the previous indicator in terms of explaining the variation in the downstream floods affected by reservoir operation. A covariate-based flood frequency analysis using RRCI can provide more reliable downstream flood risk estimation.
Hui-Min Wang, Jie Chen, Chong-Yu Xu, Hua Chen, Shenglian Guo, Ping Xie, and Xiangquan Li
Hydrol. Earth Syst. Sci., 23, 4033–4050, https://doi.org/10.5194/hess-23-4033-2019, https://doi.org/10.5194/hess-23-4033-2019, 2019
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When using large ensembles of global climate models in hydrological impact studies, there are pragmatic questions on whether it is necessary to weight climate models and how to weight them. We use eight methods to weight climate models straightforwardly, based on their performances in hydrological simulations, and investigate the influences of the assigned weights. This study concludes that using bias correction and equal weighting is likely viable and sufficient for hydrological impact studies.
Tian Lan, Kairong Lin, Xuezhi Tan, Chong-Yu Xu, and Xiaohong Chen
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-301, https://doi.org/10.5194/hess-2019-301, 2019
Manuscript not accepted for further review
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A calibration scheme was developed for the dynamics of hydrological model parameters. Furthermore, a novel tool was designed to assess the reliability of the dynamized parameter set. The tool evaluates the convergence processes for global optimization algorithms using violin plots (ECP-VP). The results showed that the developed calibration scheme overcame the salient issues for poor model performance. Besides, the ECP-VP tool effectively assessed the reliability of the dynamic parameter set.
Jong-Suk Kim, Phetlamphanh Xaiyaseng, Lihua Xiong, Sun-Kwon Yoon, and Taesam Lee
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-217, https://doi.org/10.5194/hess-2019-217, 2019
Publication in HESS not foreseen
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The current study illustrates rainfall patterns over the Indochina Peninsula (ICP) to sea surface temperature in the Indian Ocean. During El Niño years and a positive IOD, rainfall is less than usual in Thailand, Cambodia, southern Laos, and Vietnam. Conversely, during La Niña years and the negative IOD, rainfall throughout the ICP is above normal. It shows that (1) the sensitivity of regional precipitation to the IOD and (2) the potential future impact of statistical changes.
Lu Li, Mingxi Shen, Yukun Hou, Chong-Yu Xu, Arthur F. Lutz, Jie Chen, Sharad K. Jain, Jingjing Li, and Hua Chen
Hydrol. Earth Syst. Sci., 23, 1483–1503, https://doi.org/10.5194/hess-23-1483-2019, https://doi.org/10.5194/hess-23-1483-2019, 2019
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The study used an integrated glacio-hydrological model for the hydrological projections of the Himalayan Beas basin under climate change. It is very likely that the upper Beas basin will get warmer and wetter in the future. This loss in glacier area will result in a reduction in glacier discharge, while the future changes in total discharge are uncertain. The uncertainty in future hydrological change is not only from GCMs, but also from the bias-correction methods and hydrological modeling.
Pan Hu, Qiang Zhang, Chong-Yu Xu, Shao Sun, and Jiayi Fang
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2019-73, https://doi.org/10.5194/hess-2019-73, 2019
Preprint withdrawn
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China is the country highly sensitive to flood disasters. Here we investigated flood disasters and relevant driving factors using meteorological disaster records s and also hourly rainfall data. We used the GeoDetector method to analyze potential driving factors behind flood disasters. We found increased rainstorm-induced flood disasters and increase in flood disaster frequency. Meanwhile, reduced flood-related death rates imply enhanced flood-mitigation infrastructure and facilities.
Nevil Quinn, Günter Blöschl, András Bárdossy, Attilio Castellarin, Martyn Clark, Christophe Cudennec, Demetris Koutsoyiannis, Upmanu Lall, Lubomir Lichner, Juraj Parajka, Christa D. Peters-Lidard, Graham Sander, Hubert Savenije, Keith Smettem, Harry Vereecken, Alberto Viglione, Patrick Willems, Andy Wood, Ross Woods, Chong-Yu Xu, and Erwin Zehe
Proc. IAHS, 380, 3–8, https://doi.org/10.5194/piahs-380-3-2018, https://doi.org/10.5194/piahs-380-3-2018, 2018
Nevil Quinn, Günter Blöschl, András Bárdossy, Attilio Castellarin, Martyn Clark, Christophe Cudennec, Demetris Koutsoyiannis, Upmanu Lall, Lubomir Lichner, Juraj Parajka, Christa D. Peters-Lidard, Graham Sander, Hubert Savenije, Keith Smettem, Harry Vereecken, Alberto Viglione, Patrick Willems, Andy Wood, Ross Woods, Chong-Yu Xu, and Erwin Zehe
Hydrol. Earth Syst. Sci., 22, 5735–5739, https://doi.org/10.5194/hess-22-5735-2018, https://doi.org/10.5194/hess-22-5735-2018, 2018
Hong Li, Jan Erik Haugen, and Chong-Yu Xu
Hydrol. Earth Syst. Sci., 22, 5097–5110, https://doi.org/10.5194/hess-22-5097-2018, https://doi.org/10.5194/hess-22-5097-2018, 2018
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Precipitation is a key in the water system and glacier fate in the Great Himalayas region. We examine four datasets of available types in the Western Himalayas and they show very large differences. The differences depend much on the data source and are particularly large in monsoon seasons and high-elevation areas. All the datasets show a trend to wetter summer and drier winter and this trend reveals a tendency towards a high-flow seasonality and an unfavorable condition for glaciers.
Hui-Min Wang, Jie Chen, Alex J. Cannon, Chong-Yu Xu, and Hua Chen
Hydrol. Earth Syst. Sci., 22, 3739–3759, https://doi.org/10.5194/hess-22-3739-2018, https://doi.org/10.5194/hess-22-3739-2018, 2018
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Facing a growing number of climate models, many selection methods were proposed to select subsets in the field of climate simulation, but the transferability of their performances to hydrological impacts remains doubtful. We investigate the transferability of climate simulation uncertainty to hydrological impacts using two selection methods, and conclude that envelope-based selection of about 10 climate simulations based on properly chosen climate variables is suggested for impact studies.
Bin Xiong, Lihua Xiong, Jie Chen, Chong-Yu Xu, and Lingqi Li
Hydrol. Earth Syst. Sci., 22, 1525–1542, https://doi.org/10.5194/hess-22-1525-2018, https://doi.org/10.5194/hess-22-1525-2018, 2018
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In changing environments, extreme low-flow events are expected to increase. Frequency analysis of low-flow events considering the impacts of changing environments has attracted increasing attention. This study developed a frequency analysis framework by applying 11 indices to trace the main causes of the change in the annual extreme low-flow events of the Weihe River. We showed that the fluctuation in annual low-flow series was affected by climate, streamflow recession and irrigation area.
Diana Fuentes-Andino, Keith Beven, Sven Halldin, Chong-Yu Xu, José Eduardo Reynolds, and Giuliano Di Baldassarre
Hydrol. Earth Syst. Sci., 21, 3597–3618, https://doi.org/10.5194/hess-21-3597-2017, https://doi.org/10.5194/hess-21-3597-2017, 2017
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Reproduction of past floods requires information on discharge and flood extent, commonly unavailable or uncertain during extreme events. We explored the possibility of reproducing an extreme flood disaster using rainfall and post-event hydrometric information by combining a rainfall-runoff and hydraulic modelling tool within an uncertainty analysis framework. Considering the uncertainty in post–event data, it was possible to reasonably reproduce the extreme event.
Sharad K. Jain, Sanjay K. Jain, Neha Jain, and Chong-Yu Xu
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2017-100, https://doi.org/10.5194/hess-2017-100, 2017
Manuscript not accepted for further review
Lingqi Li, Lihua Xiong, Chong-Yu Xu, Shenglian Guo, and Pan Liu
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2016-619, https://doi.org/10.5194/hess-2016-619, 2016
Revised manuscript not accepted
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The study offers insights into future design floods that are inferred with both AM and POT samplings under nonstationarity caused by changing climate. Future design floods in nonstationarity context are usually (lower than) but not necessarily more different from stationary estimates. AM-based projection is more sensitive to climate change than POT estimates. The over-dispersion in POT arrival rate leads to the invalidation of Poisson assumption that the misuse may induce overestimated floods.
Quan Zhang, Hui-Min Lei, Da-Wen Yang, Lihua Xiong, and Beijing Fang
Biogeosciences Discuss., https://doi.org/10.5194/bg-2016-484, https://doi.org/10.5194/bg-2016-484, 2016
Revised manuscript not accepted
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With the increasing concern about global warming, investigating carbon cycle becomes imperative to predict future climate trend. As cropland has great potentials in mitigating carbon emissions, therefore we designed a comprehensive carbon budget assessment in a typical cropland in North China Plain, the results indicate the high groundwater table contributes to carbon sink of this cropland. The conclusion confirms that field management has profound effect on cropland carbon cycle.
J. E. Reynolds, S. Halldin, C. Y. Xu, J. Seibert, and A. Kauffeldt
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hessd-12-7437-2015, https://doi.org/10.5194/hessd-12-7437-2015, 2015
Revised manuscript not accepted
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In this study it was found that time-scale dependencies of hydrological model parameters are a result of the numerical method used in the model rather than a real time-scale-data dependence. This study further indicates that as soon as sub-daily driving data can be secured, flood forecasting in watersheds with sub-daily concentration times is possible with model parameter values inferred from long time series of daily data, as long as an appropriate numerical method is used.
A. Kauffeldt, S. Halldin, A. Rodhe, C.-Y. Xu, and I. K. Westerberg
Hydrol. Earth Syst. Sci., 17, 2845–2857, https://doi.org/10.5194/hess-17-2845-2013, https://doi.org/10.5194/hess-17-2845-2013, 2013
Related subject area
Subject: Engineering Hydrology | Techniques and Approaches: Stochastic approaches
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Characteristics and process controls of statistical flood moments in Europe – a data-based analysis
Objective functions for information-theoretical monitoring network design: what is “optimal”?
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Flood frequency analysis of historical flood data under stationary and non-stationary modelling
Selection of intense rainfall events based on intensity thresholds and lightning data in Switzerland
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Introducing empirical and probabilistic regional envelope curves into a mixed bounded distribution function
HESS Opinions "A random walk on water"
Bora Shehu and Uwe Haberlandt
Hydrol. Earth Syst. Sci., 27, 2075–2097, https://doi.org/10.5194/hess-27-2075-2023, https://doi.org/10.5194/hess-27-2075-2023, 2023
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Design rainfall volumes at different duration and frequencies are necessary for the planning of water-related systems and facilities. As the procedure for deriving these values is subjected to different sources of uncertainty, here we explore different methods to estimate how precise these values are for different duration, locations and frequencies in Germany. Combining local and spatial simulations, we estimate tolerance ranges from approx. 10–60% for design rainfall volumes in Germany.
Sara Sadri, James S. Famiglietti, Ming Pan, Hylke E. Beck, Aaron Berg, and Eric F. Wood
Hydrol. Earth Syst. Sci., 26, 5373–5390, https://doi.org/10.5194/hess-26-5373-2022, https://doi.org/10.5194/hess-26-5373-2022, 2022
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A farm-scale hydroclimatic machine learning framework to advise farmers was developed. FarmCan uses remote sensing data and farmers' input to forecast crop water deficits. The 8 d composite variables are better than daily ones for forecasting water deficit. Evapotranspiration (ET) and potential ET are more effective than soil moisture at predicting crop water deficit. FarmCan uses a crop-specific schedule to use surface or root zone soil moisture.
Andrew J. Newman, Amanda G. Stone, Manabendra Saharia, Kathleen D. Holman, Nans Addor, and Martyn P. Clark
Hydrol. Earth Syst. Sci., 25, 5603–5621, https://doi.org/10.5194/hess-25-5603-2021, https://doi.org/10.5194/hess-25-5603-2021, 2021
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This study assesses methods that estimate flood return periods to identify when we would obtain a large flood return estimate change if the method or input data were changed (sensitivities). We include an examination of multiple flood-generating models, which is a novel addition to the flood estimation literature. We highlight the need to select appropriate flood models for the study watershed. These results will help operational water agencies develop more robust risk assessments.
David Lun, Alberto Viglione, Miriam Bertola, Jürgen Komma, Juraj Parajka, Peter Valent, and Günter Blöschl
Hydrol. Earth Syst. Sci., 25, 5535–5560, https://doi.org/10.5194/hess-25-5535-2021, https://doi.org/10.5194/hess-25-5535-2021, 2021
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We investigate statistical properties of observed flood series on a European scale. There are pronounced regional patterns, for instance: regions with strong Atlantic influence show less year-to-year variability in the magnitude of observed floods when compared with more arid regions of Europe. The hydrological controls on the patterns are quantified and discussed. On the European scale, climate seems to be the dominant driver for the observed patterns.
Hossein Foroozand and Steven V. Weijs
Hydrol. Earth Syst. Sci., 25, 831–850, https://doi.org/10.5194/hess-25-831-2021, https://doi.org/10.5194/hess-25-831-2021, 2021
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In monitoring network design, we have to decide what to measure, where to measure, and when to measure. In this paper, we focus on the question of where to measure. Past literature has used the concept of information to choose a selection of locations that provide maximally informative data. In this paper, we look in detail at the proper mathematical formulation of the information concept as an objective. We argue that previous proposals for this formulation have been needlessly complicated.
Manuela I. Brunner and Eric Gilleland
Hydrol. Earth Syst. Sci., 24, 3967–3982, https://doi.org/10.5194/hess-24-3967-2020, https://doi.org/10.5194/hess-24-3967-2020, 2020
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Stochastically generated streamflow time series are used for various water management and hazard estimation applications. They provide realizations of plausible but yet unobserved streamflow time series with the same characteristics as the observed data. We propose a stochastic simulation approach in the frequency domain instead of the time domain. Our evaluation results suggest that the flexible, continuous simulation approach is valuable for a diverse range of water management applications.
Vincenzo Totaro, Andrea Gioia, and Vito Iacobellis
Hydrol. Earth Syst. Sci., 24, 473–488, https://doi.org/10.5194/hess-24-473-2020, https://doi.org/10.5194/hess-24-473-2020, 2020
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We highlight the need for power evaluation in the application of null hypothesis significance tests for trend detection in extreme event analysis. In a wide range of conditions, depending on the underlying distribution of data, the test power may reach unacceptably low values. We propose the use of a parametric approach, based on model selection criteria, that allows one to choose the null hypothesis, to select the level of significance, and to check the test power using Monte Carlo experiments.
Phuong Dong Le, Michael Leonard, and Seth Westra
Hydrol. Earth Syst. Sci., 23, 4851–4867, https://doi.org/10.5194/hess-23-4851-2019, https://doi.org/10.5194/hess-23-4851-2019, 2019
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While conventional approaches focus on flood designs at individual locations, there are many situations requiring an understanding of spatial dependence of floods at multiple locations. This research describes a new framework for analyzing flood characteristics across civil infrastructure systems, including conditional and joint probabilities of floods. This work leads to a new flood estimation paradigm, which focuses on the risk of the entire system rather than each system element in isolation.
Manuela I. Brunner, András Bárdossy, and Reinhard Furrer
Hydrol. Earth Syst. Sci., 23, 3175–3187, https://doi.org/10.5194/hess-23-3175-2019, https://doi.org/10.5194/hess-23-3175-2019, 2019
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This study proposes a procedure for the generation of daily discharge data which considers temporal dependence both within short timescales and across different years. The simulation procedure can be applied to individual and multiple sites. It can be used for various applications such as the design of hydropower reservoirs, the assessment of flood risk or the assessment of drought persistence, and the estimation of the risk of multi-year droughts.
Alain Dib and M. Levent Kavvas
Hydrol. Earth Syst. Sci., 22, 1993–2005, https://doi.org/10.5194/hess-22-1993-2018, https://doi.org/10.5194/hess-22-1993-2018, 2018
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A new method is proposed to solve the stochastic unsteady open-channel flow system in only one single simulation, as opposed to the many simulations usually done in the popular Monte Carlo approach. The derivation of this new method gave a deterministic and linear Fokker–Planck equation whose solution provided a powerful and effective approach for quantifying the ensemble behavior and variability of such a stochastic system, regardless of the number of parameters causing its uncertainty.
Alain Dib and M. Levent Kavvas
Hydrol. Earth Syst. Sci., 22, 2007–2021, https://doi.org/10.5194/hess-22-2007-2018, https://doi.org/10.5194/hess-22-2007-2018, 2018
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A newly proposed method is applied to solve a stochastic unsteady open-channel flow system (with an uncertain roughness coefficient) in only one simulation. After comparing its results to those of the Monte Carlo simulations, the new method was found to adequately predict the temporal and spatial evolution of the probability density of the flow variables of the system. This revealed the effectiveness, strength, and time efficiency of this new method as compared to other popular approaches.
Liang Gao, Limin Zhang, and Mengqian Lu
Hydrol. Earth Syst. Sci., 21, 4573–4589, https://doi.org/10.5194/hess-21-4573-2017, https://doi.org/10.5194/hess-21-4573-2017, 2017
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Rainfall is the primary trigger of landslides. However, the rainfall intensity is not uniform in space, which causes more landslides in the area of intense rainfall. The primary objective of this paper is to quantify spatial correlation characteristics of three landslide-triggering large storms in Hong Kong. The spatial maximum rolling rainfall is represented by a trend surface and a random field of residuals. The scales of fluctuation of the residuals are found between 5 km and 30 km.
Elena Shevnina, Ekaterina Kourzeneva, Viktor Kovalenko, and Timo Vihma
Hydrol. Earth Syst. Sci., 21, 2559–2578, https://doi.org/10.5194/hess-21-2559-2017, https://doi.org/10.5194/hess-21-2559-2017, 2017
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This paper presents the probabilistic approach to evaluate design floods in a changing climate, adapted in this case to the northern territories. For the Russian Arctic, the regions are delineated, where it is suggested to correct engineering hydrological calculations to account for climate change. An example of the calculation of a maximal discharge of 1 % exceedance probability for the Nadym River at Nadym is provided.
Eleni Maria Michailidi and Baldassare Bacchi
Hydrol. Earth Syst. Sci., 21, 2497–2507, https://doi.org/10.5194/hess-21-2497-2017, https://doi.org/10.5194/hess-21-2497-2017, 2017
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In this research, we explored how the sampling uncertainty of flood variables (flood peak, volume, etc.) can reflect on a structural variable, which in our case was the maximum water level (MWL) of a reservoir controlled by a dam. Next, we incorporated additional information from different sources for a better estimation of the uncertainty in the probability of exceedance of the MWL. Results showed the importance of providing confidence intervals in the risk assessment of a structure.
M. J. Machado, B. A. Botero, J. López, F. Francés, A. Díez-Herrero, and G. Benito
Hydrol. Earth Syst. Sci., 19, 2561–2576, https://doi.org/10.5194/hess-19-2561-2015, https://doi.org/10.5194/hess-19-2561-2015, 2015
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A flood frequency analysis using a 400-year historical flood record was carried out using a stationary model (based on maximum likelihood estimators) and a non-stationary model that incorporates external covariates (climatic and environmental). The stationary model was successful in providing an average discharge around which value flood quantiles estimated by non-stationary models fluctuate through time.
L. Gaál, P. Molnar, and J. Szolgay
Hydrol. Earth Syst. Sci., 18, 1561–1573, https://doi.org/10.5194/hess-18-1561-2014, https://doi.org/10.5194/hess-18-1561-2014, 2014
P. E. O'Connell and G. O'Donnell
Hydrol. Earth Syst. Sci., 18, 155–171, https://doi.org/10.5194/hess-18-155-2014, https://doi.org/10.5194/hess-18-155-2014, 2014
A. I. Requena, L. Mediero, and L. Garrote
Hydrol. Earth Syst. Sci., 17, 3023–3038, https://doi.org/10.5194/hess-17-3023-2013, https://doi.org/10.5194/hess-17-3023-2013, 2013
S. Das and C. Cunnane
Hydrol. Earth Syst. Sci., 15, 819–830, https://doi.org/10.5194/hess-15-819-2011, https://doi.org/10.5194/hess-15-819-2011, 2011
B. A. Botero and F. Francés
Hydrol. Earth Syst. Sci., 14, 2617–2628, https://doi.org/10.5194/hess-14-2617-2010, https://doi.org/10.5194/hess-14-2617-2010, 2010
L. Mediero, A. Jiménez-Álvarez, and L. Garrote
Hydrol. Earth Syst. Sci., 14, 2495–2505, https://doi.org/10.5194/hess-14-2495-2010, https://doi.org/10.5194/hess-14-2495-2010, 2010
B. Guse, Th. Hofherr, and B. Merz
Hydrol. Earth Syst. Sci., 14, 2465–2478, https://doi.org/10.5194/hess-14-2465-2010, https://doi.org/10.5194/hess-14-2465-2010, 2010
D. Koutsoyiannis
Hydrol. Earth Syst. Sci., 14, 585–601, https://doi.org/10.5194/hess-14-585-2010, https://doi.org/10.5194/hess-14-585-2010, 2010
Cited articles
Aas, K., Czado, C., Frigessi, A., and Bakken, H.: Pair-copula constructions
of multiple dependence, Insurance Math. Econ., 44, 182–198, https://doi.org/10.1016/j.insmatheco.2007.02.001, 2009.
Akaike, H.: A new look at the statistical model identification, IEEE Trans.
Autom. Control, 19, 716–723, 1974.
Balistrocchi, M. and Bacchi, B.: Derivation of flood frequency curves
through a bivariate rainfall distribution based on copula functions:
application to an urban catchment in northern Italy's climate, Hydrol. Res., 48, 749–762, https://doi.org/10.2166/nh.2017.109, 2017.
Bender, J., Wahl, T., and Jensen, J.: Multivariate design in the presence of
non-stationarity, J. Hydrol., 514, 123–130, https://doi.org/10.1016/j.jhydrol.2014.04.017, 2014.
Blöschl, G., Hall, J., Parajka, J., Perdigão, R. A. P., Merz, B., Arheimer, B., and Živkovic, N: Changing
climate shifts timing of European floods, Science, 357, 588–590, 2017.
Bracken, C., Holman, K. D., Rajagopalan, B., and Moradkhani, H.: A Bayesian
hierarchical approach to multivariate nonstationary hydrologic frequency
analysis, Water Resour. Res., 54, 243–255, https://doi.org/10.1002/2017WR020403, 2018.
Bücher, A., Kojadinovic, I., Rohmer, T., and Segers, J.: Detecting changes
in cross-sectional dependence in multivariate time series, J. Multivariate Anal., 132, 111–128, https://doi.org/10.1016/j.jmva.2014.07.012, 2014.
Chow, V. T.: Handbook of Applied Hydrology, McGraw-Hill, New York, 1964.
Department of Comprehensive Statistics of National Bureau of Statistics:
China Compendium of Statistics 1949–2008, China Stat. Press,
Beijing, 2010 (in Chinese).
Engeland, K., Wilson, D., Borsányi, P., Roald, L., and Holmqvist, E.:
Use of historical data in flood frequency analysis: A case study for four
catchments in Norway, Hydrol. Res., 49, 466–486, 2018,
Favre, A. C., El Adlouni, S., Perreault, L., Thiémonge, N., and
Bobée, B.: Multivariate hydrological frequency analysis using copulas,
Water Resour. Res., 40, W01101, https://doi.org/10.1029/2003WR002456, 2004.
Frank, J. and Massey, J. R.: The Kolmogorov-Smirnov test for goodness of
fit, J. Am. Stat. Assoc., 46, 68–78, 1951.
Hawkes, P. J.: Joint probability analysis for estimation of extremes,
J. Hydraul. Res., 46, 246–256, https://doi.org/10.1080/00221686.2008.9521958, 2008.
He, C.: The China Modernization Report 2013, Peking University
Press, Beijing, 2014 (in Chinese).
Hurvich, C. M. and Tsai, C. L.: Regression and time series model selection
in small samples, Biometrika, 76, 297–307, 1989.
Jiang, C., Xiong, L., Xu, C.-Y., and Guo, S.: Bivariate frequency analysis
of nonstationary low-flow series based on the time-varying copula, Hydrol.
Process., 29, 1521–1534, https://doi.org/10.1002/hyp.10288, 2015a.
Jiang, C., Xiong, L., Wang, D., Liu, P., Guo, S., and Xu, C.-Y.: Separating
the impacts of climate change and human activities on runoff using the
Budyko-type equations with time-varying parameters, J. Hydrol., 522,
326–338, https://doi.org/10.1016/j.jhydrol.2014.12.060, 2015b.
Kew, S. F., Selten, F. M., Lenderink, G., and Hazeleger, W.: The simultaneous
occurrence of surge and discharge extremes for the Rhine delta, Nat. Hazards
Earth Syst. Sci., 13, 2017–2029, https://doi.org/10.5194/nhess-13-2017-2013,
2013.
Kobierska, F., Engeland, K., and Thorarinsdottir, T.: Evaluation of design
flood estimates – a case study for Norway, Hydrol. Res., 49, 450–465, 2018.
Kojadinovic, I.: npcp: Some nonparametric CUSUM tests for change-point
detection in possibly multivariate observations, R Package Version 0.1-9,
Vienna, Austria, available at: https://cran.r-project.org/web/packages/npcp/npcp.pdf (last access: 20 March 2019), 2017.
Kundzewicz, Z. W., Pińskwar, I., and Brakenridge, G. R.: Changes in river
flood hazard in Europe: a review, Hydrol. Res., 49, 294–302, 2018.
Kwon, H.-H., Lall, U., and Kim, S.-J.: The unusual 2013–2015 drought in
South Korea in the context of a multicentury precipitation record: Inferences
from a nonstationary, multivariate, Bayesian copula model, Geophys. Res.
Lett., 43, 8534–8544, https://doi.org/10.1002/2016GL070270, 2016.
Kyselý, J.: A cautionary note on the use of nonparametric bootstrap for
estimating uncertainties in extreme-value models, J. Appl. Meteorol. Clim., 47, 3236–3251, 2009.
Li, T., Guo, S., Liu, Z., Xiong, L., and Yin, J.: Bivariate design flood
quantile selection using copulas, Hydrol. Res., 48, 997–1013, 2017.
Liang, Z., Hu, Y., Huang, H., Wang, J., and Li, B.: Study on the estimation
of design value under non-stationary environment, South-to-North Water
Transfers, Water Sci. Technol., 14, 50–53, 2016 (in Chinese).
López, J. and Francés, F.: Non-stationary flood frequency analysis in
continental Spanish rivers, using climate and reservoir indices as external
covariates, Hydrol. Earth Syst. Sci., 17, 3189–3203,
https://doi.org/10.5194/hess-17-3189-2013, 2013.
Loveridge, M., Rahman, A., and Hill, P.: Applicability of a physically based
soil water model (SWMOD) in design flood estimation in eastern Australia,
Hydrol. Res., 48, 1652–1665, 2017.
Milly, P., Betancourt, J., Falkenmark, M., Hirsch, R., Kundzewicz, Z.,
Lettenmaier, D., and Stouffer, R.: Climate change – Stationarity is dead:
Whither water management?, Science, 319, 573–574,
https://doi.org/10.1126/science.1151915, 2008.
Ministry of Water Resources of People's Republic of China: Design Criterion
of Reservoir Management, Chin. Water Resour. and Hydropower Press, Beijing,
1996 (in Chinese).
Niederreiter, H.: Quasi-Monte Carlo methods and pseudo-random numbers, B. Am.
Math. Soc., 197, 957–1041, 1978.
Obeysekera, J. and Salas, J.: Quantifying the uncertainty of design floods
under nonstationary conditions, J. Hydrol. Eng., 19, 1438–1446,
https://doi.org/10.1061/(ASCE)HE.1943-5584.0000931, 2014.
Obeysekera, J. and Salas, J.: Frequency of recurrent extremes under
nonstationarity, J. Hydrol. Eng., 21, 04016005,
https://doi.org/10.1061/(ASCE)HE.1943-5584.0001339, 2016.
Olsen, J. R., Lambert, J. H., and Haimes, Y. Y.: Risk of extreme events under
nonstationarity conditions, Risk Anal., 18, 497–510,
https://doi.org/10.1111/j.1539-6924.1998.tb00364.x, 1998.
Parey, S., Hoang, T. T. H., and Dacunha-Castelle, D.: Different ways to
compute temperature return levels in the climate change context,
Environmetrics, 21, 698–718, https://doi.org/10.1002/env.1060, 2010.
Qi, W. and Liu, J.: A non-stationary cost-benefit based bivariate extreme
flood estimation approach, J. Hydrol., 557, 589–599,
https://doi.org/10.1016/j.jhydrol.2017.12.045, 2017.
Quessy, J., Saïd, M., and Favre, A. C.: Multivariate Kendall's tau for
change-point detection in copulas, Can. J. Stat., 41, 65–82,
https://doi.org/10.1002/cjs.11150, 2013.
Read, L. K. and Vogel, R. M.: Reliability, return periods, and risk under
nonstationarity, Water Resour. Res., 51, 6381–6398,
https://doi.org/10.1002/2015WR017089, 2015.
Read, L. K. and Vogel, R. M.: Hazard function analysis for flood planning
under nonstationarity, Water Resour. Res., 52, 4116–4131,
https://doi.org/10.1002/2015WR018370, 2016.
Requena, A. I., Mediero, L., and Garrote, L.: A bivariate return period based
on copulas for hydrologic dam design: accounting for reservoir routing in
risk estimation, Hydrol. Earth Syst. Sci., 17, 3023–3038,
https://doi.org/10.5194/hess-17-3023-2013, 2013.
Rootzén, H. and Katz, R. W.: Design Life Level: Quantifying risk in a
changing climate, Water Resour. Res., 49, 5964–5972, https://doi.org/10.1002/wrcr.20425,
2013.
Rosner, A., Vogel, R. M., and Kirshen, P. H.: A risk-based approach to flood
management decisions in a nonstationary world, Water Resour. Res., 50,
1928–1942, https://doi.org/10.1002/2013WR014561, 2014.
Salas, J. D. and Obeysekera, J.: Revisiting the concepts of return period and
risk for nonstationary hydrologic extreme events, J. Hydrol. Eng., 19,
554–568, https://doi.org/10.1061/(ASCE)HE.1943-5584.0000820, 2014.
Salvadori, G. and De Michele, C.: Frequency analysis via copulas: theoretical
aspects and applications to hydrological events, Water Resour. Res., 40,
W12511, https://doi.org/10.1029/2004WR003133, 2004.
Salvadori, G. and De Michele, C.: Multivariate multiparameter extreme value
models and return periods: A copula approach, Water Resour. Res., 46, W10501,
https://doi.org/10.1029/2009WR009040, 2010.
Salvadori, G., De Michele, C., Kottegoda, N. T., and Rosso, R.: Extremes in
Nature: An Approach Using Copulas, Springer, Dordrecht, the Netherlands, 2007.
Salvadori, G., De Michele, C., and Durante, F.: On the return period and
design in a multivariate framework, Hydrol. Earth Syst. Sci., 15, 3293–3305,
https://doi.org/10.5194/hess-15-3293-2011, 2011.
Salvadori, G., Durante, F., and De Michele, C.: Multivariate return period
calculation via survival functions, Water Resour. Res., 49, 2308–2311,
https://doi.org/10.1002/wrcr.20204, 2013.
Salvadori, G., Durante, F., Tomasicchio, G. R., and D'Alessandro, F.:
Practical guidelines for the multivariate assessment of the structural risk
in coastal and off-shore engineering, Coastal Eng., 95, 77–83,
https://doi.org/10.1016/j.coastaleng.2014.09.007, 2015.
Salvadori, G., Durante, F., De Michele, C., Bernardi, M., and Petrella, L.: A
multivariate Copula-based framework for dealing with Hazard Scenarios and
Failure Probabilities, Water Resour. Res., 52, 3701–3721,
https://doi.org/10.1002/2015WR017225, 2016.
Salvadori, G., Durante, F., Michele, C. D., and Bernardi, M.: Hazard
assessment under multivariate distributional change-points: Guidelines and a
flood case study, Water, 10, 751–765, https://doi.org/10.3390/w10060751, 2018.
Sarhadi, A., Burn, D. H., Ausín, M. C., and Wiper, M. P.: Time-varying
nonstationary multivariate risk analysis using a dynamic Bayesian copula,
Water Resour. Res., 52, 2327–2349, https://doi.org/10.1002/2015WR018525, 2016.
Serinaldi, F.: Dismissing return periods!, Stoch. Env. Res. Risk. A., 29,
1179–1189, https://doi.org/10.1007/s00477-014-0916-1, 2015.
Serinaldi, F. and Kilsby, C. G.: Stationarity is undead: Uncertainty
dominates the distribution of extremes, Adv. Water Resour., 77, 17–36,
https://doi.org/10.1016/j.advwatres.2014.12.013, 2015.
Shafaei, M., Fakheri-Fard, A., Dinpashoh, Y., Mirabbasi, R., and De Michele,
C.: Modeling flood event characteristics using D-vine structures, Theor. Appl. Climatol., 130, 713–724, https://doi.org/10.1007/s00704-016-1911-x, 2017.
Sklar, M.: Fonctions de Répartition a n Dimensions et Leurs Marges, 8
pp., Univ. Paris, Paris, 1959.
Strupczewski, W. G., Singh, V. P., and Feluch, W.: Non-stationary approach
to at-site flood frequency modeling I. Maximum likelihood estimation, J.
Hydrol., 248, 123–142, https://doi.org/10.1016/S0022-1694(01)00397-3, 2001.
Vandenberghe, S., Verhoest, N. E. C., Onof, C., and De Baets, B.: A
comparative copula – based bivariate frequency analysis of observed and
simulated storm events: A case study on Bartlett – Lewis modeled rainfall,
Water Resour. Res., 47, W07529, https://doi.org/10.1029/2009WR008388, 2011.
Vezzoli, R., Salvadori, G., and De Michele, C.: A distributional
multivariate approach for assessing performance of climate-hydrology models,
Sci. Rep., 7, 12071, https://doi.org/10.1038/s41598-017-12343-1,
2017.
Villarini, G., Serinaldi, F., Smith, J. A., and Krajewski, W. F.: On the
stationarity of annual flood peaks in the Continental United States during
the 20th Century, Water Resour. Res., 45, W08417, https://doi.org/10.1029/2008WR007645, 2009.
Vogel, R. M.: Reliability indices for water supply systems, J. Water Res. Pl., 113, 563–579, https://doi.org/10.1061/(ASCE)0733-9496(1987)113:4(563), 1987.
Vogel, R. M., Yaindl, C., and Walter, M.: Nonstationarity: Flood
magnification and recurrence reduction factors in the United States, J. Am.
Water Resour. As., 47, 464–474, https://doi.org/10.1111/j.1752-1688.2011.00541.x, 2011.
Volpi, E. and Fiori, A.: Design event selection in bivariate hydrological
frequency analysis, Hydrolog. Sci. J., 57, 1506–1515, https://doi.org/10.1080/02626667.2012.726357, 2012.
Xiao, Y., Guo, S., Liu, P., Yan, B., and Chen, L.: Design flood hydrograph
based on multicharacteristic synthesis index method, J. Hydrol. Eng.,
14, 1359–1364, https://doi.org/10.1061/(ASCE)1084-0699(2009)4:12(1359),
2009.
Xiong, L. and Guo, S.: Trend test and change-point detection for the annual
discharge series of the Yangtze River at the Yichang hydrological station,
Hydrolog. Sci. J., 49, 99–112, https://doi.org/10.1623/hysj.49.1.99.53998,
2004.
Xiong, L., Jiang, C., Xu, C.-Y., Yu, K.-X., and Guo, S.: A framework of
changepoint detection for multivariate hydrological series, Water Resour.
Res., 51, 8198–8217, https://doi.org/10.1002/2015WR017677, 2015.
Xu, B., Xie, P., Tan, Y., Li, X., and Liu, Y.: Analysis of flood returning
to main channel influence on the flood control ability of Xijiang River, Journal of Hydroelectric Engineering, 33, 65–72, 2014 (in Chinese).
Yan, L., Xiong, L., Guo, S., Xu, C.-Y., Xia, J., and Du, T.: Comparison of
four nonstationary hydrologic design methods for changing environment, J.
Hydrol., 551, 132–150, https://doi.org/10.1016/j.jhydrol.2017.06.001, 2017.
Yang, T., Shao, Q., Hao, Z., Chen, Xi., Zhang, Z., Xu, C.-Y., and Sun, L.:
Regional frequency analysis and spatio-temporal pattern characterization of
rainfall extremes in the Pearl River Basin, China, J. Hydrol., 380,
386–405, https://doi.org/10.1016/j.jhydrol.2009.11.013, 2010.
Yin, J., Guo, S., Liu, Z., Chen, K., Chang, F., and Xiong, F.: Bivariate
seasonal design flood estimation based on copulas, J. Hydrol. Eng., 22,
05017028, https://doi.org/10.1061/(ASCE)HE.1943-5584.0001594, 2017.
Zhang, L. and Singh, V. P.: Trivariate flood frequency analysis using the
Gumbel–Hougaard copula, J. Hydrol. Eng., 12, 431–439, https://doi.org/10.1061/(ASCE)1084-0699(2007)12:4(431), 2007.
Zheng, F., Westra, S., and Sisson, S. A.: Quantifying the dependence between
extreme rainfall and storm surge in the coastal zone, J. Hydrol., 505,
172–187, https://doi.org/10.1016/j.jhydrol.2013.09.054, 2013.
Zheng, F., Westra, S., Leonard, M., and Sisson, S. A.: Modeling dependence
between extreme rainfall and storm surge to estimate coastal flooding risk,
Water Resour. Res., 50, 2050–2071, https://doi.org/10.1002/2013WR014616,
2014.
Zheng, F., Leonard, M., and Westra, S.: Efficient joint probability analysis
of flood risk, J. Hydroinform., 17, 584–597, 2015.
Zheng, F., Leonard, M., and Westra, S.: Application of the design variable
method to estimate coastal flood risk, J. Flood Risk Manag., 10,
522–534, https://doi.org/10.1111/jfr3.12180, 2017.
Zheng, F., Tao, R., Maier, H. R., See, L., Savic, D., Zhang, T., Chen, O., Assumpção, T. H., Yang, P., Heidari, B.,
Rickermann, J., Minsker, B., Bi, W., Cai, X.,
Solomatine, D., and Popescu, I.:
Crowdsourcing methods for data collection in geophysics: State of the art,
issues, and future directions, Rev. Geophys., 56, 698–740, https://doi.org/10.1029/2018RG000616,
2018.
Short summary
We present the methods addressing the multivariate hydrologic design applied to the engineering practice under nonstationary conditions. A dynamic C-vine copula allowing for both time-varying marginal distributions and a time-varying dependence structure is developed to capture the nonstationarities of multivariate flood distribution. Then, the multivariate hydrologic design under nonstationary conditions is estimated through specifying the design criterion by average annual reliability.
We present the methods addressing the multivariate hydrologic design applied to the engineering...