Articles | Volume 17, issue 8
https://doi.org/10.5194/hess-17-3023-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Special issue:
https://doi.org/10.5194/hess-17-3023-2013
© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
01 Aug 2013
Research article |
| 01 Aug 2013
A bivariate return period based on copulas for hydrologic dam design: accounting for reservoir routing in risk estimation
A. I. Requena
Department of Hydraulic and Energy Engineering, Technical University of Madrid, Madrid, Spain
L. Mediero
Department of Hydraulic and Energy Engineering, Technical University of Madrid, Madrid, Spain
L. Garrote
Department of Hydraulic and Energy Engineering, Technical University of Madrid, Madrid, Spain
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Hydrol. Earth Syst. Sci., 21, 1651–1668, https://doi.org/10.5194/hess-21-1651-2017, https://doi.org/10.5194/hess-21-1651-2017, 2017
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The notion of a measure to quantify the degree of heterogeneity of a region from which information is required to estimate the magnitude of events at ungauged sites is introduced. These heterogeneity measures are needed to compare regions, evaluate the impact of particular sites, and rank the performance of delineating methods. A framework to define and assess their desirable properties is proposed. Several heterogeneity measures are presented and/or developed to be assessed, giving guidelines.
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We present a dataset of 1010 entries of dams in South America describing several attributes such as the dams' names, characteristics, purposes, georeferenced locations and also relevant data on the dams' catchments. Information was obtained from extensive research through numerous sources and then validated individually.
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Clara Linés, Ana Iglesias, Luis Garrote, Vicente Sotés, and Micha Werner
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In this paper we follow a user-based approach to examine operational drought management decisions and how the role of information on them can be assessed. The approach combines a stakeholder consultation and a decision model representing the interrelated decisions of the irrigation association and farmers. The decision model was extended to include information on snow cover from satellite. This contributed to better decisions in the simulation and ultimately higher benefits for the farmers.
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Gregor Laaha, Tobias Gauster, Lena M. Tallaksen, Jean-Philippe Vidal, Kerstin Stahl, Christel Prudhomme, Benedikt Heudorfer, Radek Vlnas, Monica Ionita, Henny A. J. Van Lanen, Mary-Jeanne Adler, Laurie Caillouet, Claire Delus, Miriam Fendekova, Sebastien Gailliez, Jamie Hannaford, Daniel Kingston, Anne F. Van Loon, Luis Mediero, Marzena Osuch, Renata Romanowicz, Eric Sauquet, James H. Stagge, and Wai K. Wong
Hydrol. Earth Syst. Sci., 21, 3001–3024, https://doi.org/10.5194/hess-21-3001-2017, https://doi.org/10.5194/hess-21-3001-2017, 2017
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In 2015 large parts of Europe were affected by a drought. In terms of low flow magnitude, a region around the Czech Republic was most affected, with return periods > 100 yr. In terms of deficit volumes, the drought was particularly severe around S. Germany where the event lasted notably long. Meteorological and hydrological events developed differently in space and time. For an assessment of drought impacts on water resources, hydrological data are required in addition to meteorological indices.
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J. Hall, B. Arheimer, G. T. Aronica, A. Bilibashi, M. Boháč, O. Bonacci, M. Borga, P. Burlando, A. Castellarin, G. B. Chirico, P. Claps, K. Fiala, L. Gaál, L. Gorbachova, A. Gül, J. Hannaford, A. Kiss, T. Kjeldsen, S. Kohnová, J. J. Koskela, N. Macdonald, M. Mavrova-Guirguinova, O. Ledvinka, L. Mediero, B. Merz, R. Merz, P. Molnar, A. Montanari, M. Osuch, J. Parajka, R. A. P. Perdigão, I. Radevski, B. Renard, M. Rogger, J. L. Salinas, E. Sauquet, M. Šraj, J. Szolgay, A. Viglione, E. Volpi, D. Wilson, K. Zaimi, and G. Blöschl
Proc. IAHS, 370, 89–95, https://doi.org/10.5194/piahs-370-89-2015, https://doi.org/10.5194/piahs-370-89-2015, 2015
A. Hally, O. Caumont, L. Garrote, E. Richard, A. Weerts, F. Delogu, E. Fiori, N. Rebora, A. Parodi, A. Mihalović, M. Ivković, L. Dekić, W. van Verseveld, O. Nuissier, V. Ducrocq, D. D'Agostino, A. Galizia, E. Danovaro, and A. Clematis
Nat. Hazards Earth Syst. Sci., 15, 537–555, https://doi.org/10.5194/nhess-15-537-2015, https://doi.org/10.5194/nhess-15-537-2015, 2015
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Hydrol. Earth Syst. Sci., 18, 2735–2772, https://doi.org/10.5194/hess-18-2735-2014, https://doi.org/10.5194/hess-18-2735-2014, 2014
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P. Bianucci, A. Sordo-Ward, J. I. Pérez, J. García-Palacios, L. Mediero, and L. Garrote
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Subject: Engineering Hydrology | Techniques and Approaches: Stochastic approaches
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Objective functions for information-theoretical monitoring network design: what is “optimal”?
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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.
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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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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.
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Manuela I. Brunner and Eric Gilleland
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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.
Cong Jiang, Lihua Xiong, Lei Yan, Jianfan Dong, and Chong-Yu Xu
Hydrol. Earth Syst. Sci., 23, 1683–1704, https://doi.org/10.5194/hess-23-1683-2019, https://doi.org/10.5194/hess-23-1683-2019, 2019
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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.
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
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
Abberger, K.: A simple graphical method to explore tail-dependence in stock-return pairs, Appl. Financ. Econom., 15, 43–51, 2005.
Blazkova, S. and Beven, K.: Flood frequency estimation by continuous simulation of subcatchment rainfalls and discharges with the aim of improving dam safety assessment in a large basin in the Czech Republic, J. Hydrol., 292, 153–172, 2004.
Calver, A. and Lamb, R.: Flood Frequency Estimation Using Continuous Rainfall-Runoff Modelling, Phys. Chem. Earth, 20, 479–483, 1995.
Cameron, D. S., Beven, K. J., Tawn, J., Blazkova, S., and Naden, P.: Flood frequency estimation by continuous simulation for a gauged upland catchment (with uncertainty), J. Hydrol., 219, 169–187, 1999.
Chebana, F. and Ouarda, T.: Multivariate quantiles in hydrological frequency analysis, Environmetrics, 22, 63–78, 2011.
Chowdhary, H., Escobar, L. A., and Singh, V. P.: Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data, Hydrol. Res., 42, 193–216, 2011.
De Michele, C., Salvadori, G., Canossi, M., Petaccia, A., and Rosso, R.: Bivariate statistical approach to check adequacy of dam spillway, J. Hydrol. Eng.-ASCE, 10, 50–57, 2005.
Favre, A.-C., El Adlouni, S., Perreault, L., Thiémonge, N., and Bobée, B.: Multivariate hydrological frequency analysis using copulas, Water Resour. Res., 40, 1–12, 2004.
Fisher, N. I. and Switzer, P.: Chi-Plots for Assessing Dependence, Biometrika, 72, 253–265, 1985.
Fisher, N. I. and Switzer, P.: Graphical assessment of dependence: Is a picture worth 100 tests?, Am. Stat., 55, 233–239, 2001.
Frahm, G., Junker, M., and Schmidt, R.: Estimating the tail-dependence coefficient: Properties and pitfalls, Insur. Math. Econ., 37, 80–100, 2005.
Genest, C. and Boies, J. C.: Detecting dependence with Kendall plots, Am. Stat., 57, 275–284, 2003.
Genest, C. and Favre, A.-C.: Everything you always wanted to know about copula modeling but were afraid to ask, J. Hydrol. Eng.-ASCE, 12, 347–368, 2007.
Genest, C. and Rémillard, B.: Validity of the parametric bootstrap for goodness-of-fit testing in semiparametric models, Ann. I. H. Poincare-Pr., 44, 1096-1127, 2008.
Genest, C. and Rivest, L.: Statistical Inference Procedures for Bivariate Archimedean Copulas, J. Am. Stat. Assoc., 88, 1034–1043, 1993.
Genest, C., Quessy, J. F., and Rémillard, B.: Goodness-of-fit Procedures for Copula Models Based on the Probability Integral Transformation, Scand. J. Stat., 33, 337–366, 2006.
Genest, C., Rémillard, B., and Beaudoin, D.: Goodness-of-fit tests for copulas: A review and a power study, Insur. Math. Econ., 44, 199–213, 2009.
Gräler, B., van den Berg, M. J., Vandenberghe, S., Petroselli, A., Grimaldi, S., De Baets, B., and Verhoest, N. E. C.: Multivariate return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation, Hydrol. Earth Syst. Sci., 17, 1281–1296, https://doi.org/10.5194/hess-17-1281-2013, 2013.
Grimaldi, S. and Serinaldi, F.: Asymmetric copula in multivariate flood frequency analysis, Adv. Water Resour., 29, 1155–1167, 2006.
Jiménez-Álvarez, A., Garcia-Montañés, C., Mediero, L., Incio, L., and Garrote, J.: Map of maximum flows of intercommunity basins, Revista de Obras Públicas, 3533, 7–32, 2012.
Joe, H.: Multivariate model and dependence concepts, Chapman and Hall, London, 1997.
Joe, H. and Xu, J. J.: The estimation method of Inference functions for margins for multivariate models, Technical Rep. 166, Department of Statistics, University of British Colombia, British Columbia, 1996.
Kim, G., Silvapulle, M. J., and Silvapulle, P.: Comparison of semiparametric and parametric methods for estimating copulas, Comput. Stat. Data An., 51, 2836–2850, 2007.
Klein, B., Pahlow, M., Hundecha, Y., and Schumann, A.: Probability analysis of hydrological loads for the design of flood control systems using copulas, J. Hydrol. Eng.-ASCE, 15, 360–369, 2010.
Kojadinovic, I. and Yan, J.: Modeling multivariate distributions with continuous margins using the copula R package, http://www.jstatsof.org/v34/i09/, J. Stat. Softw., 34, 1–20, 2010.
Matlab 2009a: The MathWorks, Inc., Natick, Massachusetts, USA, 2009.
Mediero, L., Jiménez-Álvarez, A., and Garrote, L.: Design flood hydrographs from the relationship between flood peak and volume, Hydrol. Earth Syst. Sci., 14, 2495–2505, https://doi.org/10.5194/hess-14-2495-2010, 2010.
Michiels, F. and De Schepper, A.: A copula test space model how to avoid the wrong copula choice, Kybernetika, 44, 864–878, 2008.
Minor, H. E.: Report of the European R&D Working Group "Floods", in: Proceedings of the International symposium on new trends and guidelines on dam safety, 17–19 June 1998, Barcelona, Spain, 1541–1550, 1998.
Nelsen, R. B.: An introduction to copulas, Springer, New York, 1999.
Poulin, A., Huard, D., Favre, A.-C., and Pugin, S.: Importance of tail dependence in bivariate frequency analysis, J. Hydrol. Eng.-ASCE, 12, 394–403, 2007.
R Development Core Team: R: A language and Environment for Statistical Computing, R Foundation for Statistical Computing, http://www.R-project.org/, Vienna, Austria, 2012.
Rettemeier, K. and Köngeter, J.: Dam safety management: overview of the state of the art in Germany compared to other European countries, in: Proceedings of the International symposium on new trends and guidelines on dam safety, 17–19 June 1998, Barcelona, Spain, 55–62, 1998.
Salvadori, G. and De Michele, C.: Frequency analysis via copulas: Theoretical aspects and applications to hydrological events, Water Resour. Res., 40, 1–17, 2004.
Salvadori, G. and De Michele, C.: Estimating strategies for multiparameter Multivariate Extreme Value copulas, Hydrol. Earth Syst. Sci., 15, 141–150, https://doi.org/10.5194/hess-15-141-2011, 2011.
Salvadori, G., De Michele, C., Kottegoda, N. T., and Rosso, R.: Extremes in nature, An approach using copulas, Springer, Dordrecht, the Netherlands, 2007.
Serinaldi, F.: Analysis of inter-gauge dependence by Kendall's $\tauK$, upper tail dependence coefficient, and 2-copulas with application to rainfall fields, Stoch. Environ. Res. Risk. A, 22, 671–688, 2008.
Serinaldi, F. and Grimaldi, S.: Fully nested 3-copula: procedure and application on hydrological data, J. Hydrol. Eng.-ASCE, 12, 420–430, 2007.
Shiau, J., Wang, H., and Tsai, C.: Bivariate frequency analysis of floods using copulas, J. Am. Water Resour. As., 42, 1549–1564, 2006.
Sklar, A.: Fonctions de répartition à n dimensions et leurs marges, Publ. Inst. Stat. Univ. Paris, 8, 229–231, 1959.
Zhang, L. and Singh, V. P.: Bivariate flood frequency analysis using the copula method, J. Hydrol. Eng.-ASCE, 11, 150–164, 2006.
Zhang, L. and Singh, V. P.: Trivariate flood frequency analysis using the Gumbel–Hougaard copula, J. Hydrol. Eng.-ASCE, 12, 431–439, 2007.
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