Articles | Volume 22, issue 2
20 Feb 2018
Research article | 20 Feb 2018
A coupled stochastic rainfall–evapotranspiration model for hydrological impact analysis
Minh Tu Pham et al.
No articles found.
Jorn Van de Velde, Matthias Demuzere, Bernard De Baets, and Niko E. C. Verhoest
Hydrol. Earth Syst. Sci., 26, 2319–2344,Short summary
An important step in projecting future climate is the bias adjustment of the climatological and hydrological variables. In this paper, we illustrate how bias adjustment can be impaired by bias nonstationarity. Two univariate and four multivariate methods are compared, and for both types bias nonstationarity can be linked with less robust adjustment.
Dailé Avila-Alonso, Jan M. Baetens, Rolando Cardenas, and Bernard De Baets
Nat. Hazards Earth Syst. Sci., 21, 837–859,Short summary
Hurricanes are extreme storms that induce substantial biophysical changes on oceans. We investigated the effects induced by consecutive Hurricanes Dorian and Humberto over the western Sargasso Sea in 2019 using satellite remote sensing and modelled data. These hurricanes superimposed effects on the upper-ocean response because of the strong induced mixing and upwelling. The sea surface cooling and phytoplankton bloom induced by these hurricanes were higher compared to climatological records.
Renaud Hostache, Dominik Rains, Kaniska Mallick, Marco Chini, Ramona Pelich, Hans Lievens, Fabrizio Fenicia, Giovanni Corato, Niko E. C. Verhoest, and Patrick Matgen
Hydrol. Earth Syst. Sci., 24, 4793–4812,Short summary
Our objective is to investigate how satellite microwave sensors, particularly Soil Moisture and Ocean Salinity (SMOS), may help to reduce errors and uncertainties in soil moisture simulations with a large-scale conceptual hydro-meteorological model. We assimilated a long time series of SMOS observations into a hydro-meteorological model and showed that this helps to improve model predictions. This work therefore contributes to the development of faster and more accurate drought prediction tools.
Brecht Martens, Dominik L. Schumacher, Hendrik Wouters, Joaquín Muñoz-Sabater, Niko E. C. Verhoest, and Diego G. Miralles
Geosci. Model Dev., 13, 4159–4181,Short summary
Climate reanalyses are widely used in different fields and an in-depth evaluation of the different variables provided by reanalyses is a necessary means to provide feedback on the quality to their users and the operational centres producing these data sets. In this study, we show the improvements of ECMWF's latest climate reanalysis (ERA5) upon its predecessor (ERA-Interim) in partitioning the available energy at the land surface.
Jorn Van de Velde, Bernard De Baets, Matthias Demuzere, and Niko E. C. Verhoest
Hydrol. Earth Syst. Sci. Discuss.,
Revised manuscript not acceptedShort summary
Though climate models have different types of biases in comparison to the observations, most research is focused on adjusting the intensity. Yet, variables like precipitation are also biased in the occurrence: there are too many days with rainfall. We compared four methods for adjusting the occurrence, with the goal of improving flood representation. From this comparison, we concluded that more advanced methods do not necessarily add value, especially in multivariate settings.
Arthur Depicker, Bernard De Baets, and Jan Marcel Baetens
Nat. Hazards Earth Syst. Sci., 20, 363–376,Short summary
In recent years, several valuable nature reserves in Belgium have been severely damaged by wildfires. In order to optimize risk management and prepare for a possibly increasing number of such events, the first wildfire ignition probability map is developed for Belgium, based on data that were obtained from the government and newspaper articles. We find that most ignitions occur in the provinces of Limburg and Antwerp and that most causes are of anthropogenic nature (such as military exercises).
Wouter H. Maes, Pierre Gentine, Niko E. C. Verhoest, and Diego G. Miralles
Hydrol. Earth Syst. Sci., 23, 925–948,Short summary
Potential evaporation (Ep) is the amount of water an ecosystem would consume if it were not limited by water availability or other stress factors. In this study, we compared several methods to estimate Ep using a global dataset of 107 FLUXNET sites. A simple radiation-driven method calibrated per biome consistently outperformed more complex approaches and makes a suitable tool to investigate the impact of water use and demand, drought severity and biome productivity.
Christina Papagiannopoulou, Diego G. Miralles, Matthias Demuzere, Niko E. C. Verhoest, and Willem Waegeman
Geosci. Model Dev., 11, 4139–4153,Short summary
Common global land cover and climate classifications are based on vegetation–climatic characteristics derived from observational data, ignoring the interaction between the local climate and biome. Here, we model the interplay between vegetation and local climate by discovering spatial relationships among different locations. The resulting global
hydro-climatic biomescorrespond to regions of coherent climate–vegetation interactions that agree well with traditional global land cover maps.
Wouter H. Maes, Pierre Gentine, Niko E. C. Verhoest, and Diego G. Miralles
Hydrol. Earth Syst. Sci. Discuss.,
Revised manuscript not acceptedShort summary
Potential evaporation is a key parameter in numerous models used for assessing water use and drought severity. Yet, multiple incompatible methods have been proposed, thus estimates of potential evaporation remain uncertain. Based on the largest available dataset of FLUXNET data, we identify the best method to calculate potential evaporation globally. A simple radiation-driven method calibrated per biome consistently performed best; more complex models did not perform as good.
Dominik Rains, Xujun Han, Hans Lievens, Carsten Montzka, and Niko E. C. Verhoest
Hydrol. Earth Syst. Sci., 21, 5929–5951,Short summary
We have assimilated 6 years of satellite-observed passive microwave data into a state-of-the-art land surface model to improve surface soil moisture as well as root-zone soil moisture simulations. Long-term assimilation effects/biases are identified, and they are especially dependent on model perturbations, applied to simulate model uncertainty. The implications are put into context of using such assimilation-improved data for classifying extremes within hydrological monitoring systems.
Katrien Van Eerdenbrugh, Stijn Van Hoey, Gemma Coxon, Jim Freer, and Niko E. C. Verhoest
Hydrol. Earth Syst. Sci., 21, 5315–5337,Short summary
Consistency in stage–discharge data is investigated using a methodology called Bidirectional Reach (BReach). Various measurement stations in the UK, New Zealand and Belgium are selected based on their historical ratings information and their characteristics related to data consistency. When applying a BReach analysis on them, the methodology provides results that appear consistent with the available knowledge and thus facilitates a reliable assessment of (in)consistency in stage–discharge data.
Matthew F. McCabe, Matthew Rodell, Douglas E. Alsdorf, Diego G. Miralles, Remko Uijlenhoet, Wolfgang Wagner, Arko Lucieer, Rasmus Houborg, Niko E. C. Verhoest, Trenton E. Franz, Jiancheng Shi, Huilin Gao, and Eric F. Wood
Hydrol. Earth Syst. Sci., 21, 3879–3914,Short summary
We examine the opportunities and challenges that technological advances in Earth observation will present to the hydrological community. From advanced space-based sensors to unmanned aerial vehicles and ground-based distributed networks, these emergent systems are set to revolutionize our understanding and interpretation of hydrological and related processes.
Christa D. Peters-Lidard, Martyn Clark, Luis Samaniego, Niko E. C. Verhoest, Tim van Emmerik, Remko Uijlenhoet, Kevin Achieng, Trenton E. Franz, and Ross Woods
Hydrol. Earth Syst. Sci., 21, 3701–3713,Short summary
In this synthesis of hydrologic scaling and similarity, we assert that it is time for hydrology to embrace a fourth paradigm of data-intensive science. Advances in information-based hydrologic science, coupled with an explosion of hydrologic data and advances in parameter estimation and modeling, have laid the foundation for a data-driven framework for scrutinizing hydrological hypotheses. We call upon the community to develop a focused effort towards a fourth paradigm for hydrology.
Brecht Martens, Diego G. Miralles, Hans Lievens, Robin van der Schalie, Richard A. M. de Jeu, Diego Fernández-Prieto, Hylke E. Beck, Wouter A. Dorigo, and Niko E. C. Verhoest
Geosci. Model Dev., 10, 1903–1925,Short summary
Terrestrial evaporation is a key component of the hydrological cycle and reliable data sets of this variable are of major importance. The Global Land Evaporation Amsterdam Model (GLEAM, www.GLEAM.eu) is a set of algorithms which estimates evaporation based on satellite observations. The third version of GLEAM, presented in this study, includes an improved parameterization of different model components. As a result, the accuracy of the GLEAM data sets has been improved upon previous versions.
Christina Papagiannopoulou, Diego G. Miralles, Stijn Decubber, Matthias Demuzere, Niko E. C. Verhoest, Wouter A. Dorigo, and Willem Waegeman
Geosci. Model Dev., 10, 1945–1960,Short summary
Global satellite observations provide a means to unravel the influence of climate on vegetation. Common statistical methods used to study the relationships between climate and vegetation are often too simplistic to capture the complexity of these relationships. Here, we present a novel causality framework that includes data fusion from various databases, time series decomposition, and machine learning techniques. Results highlight the highly non-linear nature of climate–vegetation interactions.
Benedikt Gräler, Andrea Petroselli, Salvatore Grimaldi, Bernard De Baets, and Niko Verhoest
Proc. IAHS, 373, 175–178,Short summary
Many hydrological studies are devoted to the identification of events that are expected to occur on average within a certain time span. While this topic is well established in the univariate case, recent advances focus on a multivariate characterization of events based on copulas. Following a previous study, we show how the definition of the survival Kendall return period fits into the set of multivariate return periods.
H. Vernieuwe, S. Vandenberghe, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 19, 2685–2699,
M. J. van den Berg, L. Delobbe, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 18, 5331–5344,
M. Dessie, N. E. C. Verhoest, V. R. N. Pauwels, T. Admasu, J. Poesen, E. Adgo, J. Deckers, and J. Nyssen
Hydrol. Earth Syst. Sci., 18, 5149–5167,Short summary
In this study, topography is considered as a proxy for the variability of most of the catchment characteristics. The model study suggests that classifying the catchments into different runoff production areas based on topography and including the impermeable rocky areas separately in the modeling process mimics the rainfall–runoff process in the Upper Blue Nile basin well and yields a useful result for operational management of water resources in this data-scarce region.
M. T. Pham, W. J. Vanhaute, S. Vandenberghe, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 17, 5167–5183,
J. Minet, N. E. C. Verhoest, S. Lambot, and M. Vanclooster
Hydrol. Earth Syst. Sci. Discuss.,
Revised manuscript has not been submitted
B. Gräler, M. J. van den Berg, S. Vandenberghe, A. Petroselli, S. Grimaldi, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 17, 1281–1296,
L. Loosvelt, H. Vernieuwe, V. R. N. Pauwels, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 17, 461–478,
Related subject area
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Qifen Yuan, Thordis L. Thorarinsdottir, Stein Beldring, Wai Kwok Wong, and Chong-Yu Xu
Hydrol. Earth Syst. Sci., 25, 5259–5275,Short summary
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.
Rasmus Bødker Madsen, Hyojin Kim, Anders Juhl Kallesøe, Peter B. E. Sandersen, Troels Norvin Vilhelmsen, Thomas Mejer Hansen, Anders Vest Christiansen, Ingelise Møller, and Birgitte Hansen
Hydrol. Earth Syst. Sci., 25, 2759–2787,Short summary
The protection of subsurface aquifers from contamination is an ongoing environmental challenge. Some areas of the underground have a natural capacity for reducing contaminants. In this research these areas are mapped in 3D along with information about, e.g., sand and clay, which indicates whether contaminated water from the surface will travel through these areas. This mapping technique will be fundamental for more reliable risk assessment in water quality protection.
Jing Wei, Yongping Wei, Fuqiang Tian, Natalie Nott, Claire de Wit, Liying Guo, and You Lu
Hydrol. Earth Syst. Sci., 25, 1603–1615,
Richard Arsenault and Pascal Côté
Hydrol. Earth Syst. Sci., 23, 2735–2750,Short summary
Hydrological forecasting allows hydropower system operators to make the most efficient use of the available water as possible. Accordingly, hydrologists have been aiming at improving the quality of these forecasts. This work looks at the impacts of improving systematic errors in a forecasting scheme on the hydropower generation using a few decision-aiding tools that are used operationally by hydropower utilities. We find that the impacts differ according to the hydropower system characteristics.
Lanying Zhang, George Kuczera, Anthony S. Kiem, and Garry Willgoose
Hydrol. Earth Syst. Sci., 22, 6399–6414,Short summary
Analyses of run lengths of Pacific decadal variability (PDV) suggest that there is no significant difference between run lengths in positive and negative phases of PDV and that it is more likely than not that the PDV run length has been non-stationary in the past millennium. This raises concerns about whether variability seen in the instrumental record (the last ~100 years), or even in the shorter 300–400 year paleoclimate reconstructions, is representative of the full range of variability.
William H. Farmer, Thomas M. Over, and Julie E. Kiang
Hydrol. Earth Syst. Sci., 22, 5741–5758,Short summary
This work observes that the result of streamflow simulation is often biased, especially with regards to extreme events, and proposes a novel technique to reduce this bias. By using parallel simulations of relative streamflow timing (sequencing) and the distribution of streamflow (magnitude), severe biases can be mitigated. Reducing this bias allows for improved utility of streamflow simulation for water resources management.
Arun Ravindranath, Naresh Devineni, Upmanu Lall, and Paulina Concha Larrauri
Hydrol. Earth Syst. Sci., 22, 5125–5141,Short summary
We present a framework for forecasting water storage requirements in the agricultural sector and an application of this framework to water risk assessment in India. Our framework involves defining a crop-specific water stress index and applying a particular statistical forecasting model to predict seasonal water stress for the crop of interest. The application focused on forecasting crop water stress for potatoes grown during the monsoon season in the Satara district of Maharashtra.
Adrian A. S. Barfod, Ingelise Møller, Anders V. Christiansen, Anne-Sophie Høyer, Júlio Hoffimann, Julien Straubhaar, and Jef Caers
Hydrol. Earth Syst. Sci., 22, 3351–3373,Short summary
Three-dimensional geological models are important to securing and managing groundwater. Such models describe the geological architecture, which is used for modeling the flow of groundwater. Common geological modeling approaches result in one model, which does not quantify the architectural uncertainty of the geology. We present a comparison of three different state-of-the-art stochastic multiple-point statistical methods for quantifying the geological uncertainty using real-world datasets.
Paula Rodríguez-Escales, Arnau Canelles, Xavier Sanchez-Vila, Albert Folch, Daniel Kurtzman, Rudy Rossetto, Enrique Fernández-Escalante, João-Paulo Lobo-Ferreira, Manuel Sapiano, Jon San-Sebastián, and Christoph Schüth
Hydrol. Earth Syst. Sci., 22, 3213–3227,Short summary
In this work, we have developed a methodology to evaluate the failure risk of managed aquifer recharge, and we have applied it to six different facilities located in the Mediterranean Basin. The methodology was based on the development of a probabilistic risk assessment based on fault trees. We evaluated both technical and non-technical issues, the latter being more responsible for failure risk.
Cristina Aguilar, Alberto Montanari, and María-José Polo
Hydrol. Earth Syst. Sci., 21, 3687–3700,Short summary
Assuming that floods are driven by both short- (meteorological forcing) and long-term perturbations (higher-than-usual moisture), we propose a technique for updating a season in advance the flood frequency distribution. Its application in the Po and Danube rivers helped to reduce the uncertainty in the estimation of floods and thus constitutes a promising tool for real-time management of flood risk mitigation. This study is the result of the stay of the first author at the University of Bologna.
Veit Blauhut, Kerstin Stahl, James Howard Stagge, Lena M. Tallaksen, Lucia De Stefano, and Jürgen Vogt
Hydrol. Earth Syst. Sci., 20, 2779–2800,
Claus Davidsen, Suxia Liu, Xingguo Mo, Dan Rosbjerg, and Peter Bauer-Gottwein
Hydrol. Earth Syst. Sci., 20, 771–785,Short summary
In northern China, rivers run dry and groundwater tables drop, causing economic losses for all water use sectors. We present a groundwater-surface water allocation decision support tool for cost-effective long-term recovery of an overpumped aquifer. The tool is demonstrated for a part of the North China Plain and can support the implementation of the recent China No. 1 Document in a rational and economically efficient way.
H. Macian-Sorribes, M. Pulido-Velazquez, and A. Tilmant
Hydrol. Earth Syst. Sci., 19, 3925–3935,Short summary
One of the most promising alternatives to improve the efficiency in water usage is the implementation of scarcity-based pricing policies based on the opportunity cost of water at the basin scale. Time series of the marginal value of water at selected locations (reservoirs) are obtained using a stochastic hydro-economic model and then post-processed to define step water pricing policies.
C. Dong, Q. Tan, G.-H. Huang, and Y.-P. Cai
Hydrol. Earth Syst. Sci., 18, 1793–1803,
F. Lombardo, E. Volpi, D. Koutsoyiannis, and S. M. Papalexiou
Hydrol. Earth Syst. Sci., 18, 243–255,
B. M. C. Fischer, M. L. Mul, and H. H. G. Savenije
Hydrol. Earth Syst. Sci., 17, 2161–2170,
J. Lorenzo-Lacruz, E. Morán-Tejeda, S. M. Vicente-Serrano, and J. I. López-Moreno
Hydrol. Earth Syst. Sci., 17, 119–134,
E. Baratti, A. Montanari, A. Castellarin, J. L. Salinas, A. Viglione, and A. Bezzi
Hydrol. Earth Syst. Sci., 16, 4651–4660,
J. E. Bremer and T. Harter
Hydrol. Earth Syst. Sci., 16, 2453–2467,
B. Khalil and J. Adamowski
Hydrol. Earth Syst. Sci., 16, 2253–2266,
W. J. Vanhaute, S. Vandenberghe, K. Scheerlinck, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 16, 873–891,
H. Shang, J. Yan, M. Gebremichael, and S. M. Ayalew
Hydrol. Earth Syst. Sci., 15, 1937–1944,
Aas, K., Czado, C., Frigessi, A., and Bakken, H.: Pair-copula constructions of multiple dependence, Insurance: Mathematics and Economics, 44, 182–198, 2009.
Abbott, M., Bathurst, J., Cunge, J., O'Connell, P., and Rasmussen, J.: An introduction to the European Hydrological System – Système Hydrologique Européen, SHE, 1: History and philosophy of a physically-based, distributed modelling system, J. Hydrol., 87, 45–59, 1986.
Akaike, H.: Information theory and an extension of the maximum likelihood principle, in: Second International Symposium on Information Theory, Budapest, Akadémiai Kiado, 1973.
Arnold, J. G., Srinivasan, R., Muttiah, R. S., and Williams, J. R.: Large area hydrologic modeling and assessment. Part I: Model development, J. Am. Water Resour. As., 34, 73–89, 1998.
Bedford, T. and Cooke, R. M.: Vines – a new graphical model for dependent random variables, Ann. Stat., 30, 1031–1068, 2002.
Bergström, S.: The HBV model, in: Computer Models of Watershed Hydrology, edited by: Singh, V. P., Water Resources Publications, Highlands Ranch, CO., 443–476, 1995.
Bernardara, P., De Michele, C., and Rosso, R.: A simple model of rain in time: An alternating renewal process of wet and dry states with a fractional (non-Gaussian) rain intensity, Atmos. Res., 84, 291–301, 2007.
Boughton, W. and Droop, O.: Continuous simulation for design flood estimation – a review, Environ. Model. Softw., 18, 309–318, 2003.
Cabus, P.: River flow prediction through rainfall-runoff modelling with a probability – distributed model (PDM) in Flanders, Belgium, Agr. Water Manage., 95, 859–868, 2008.
Cameron, D., Beven, K., and Tawn, J.: An evaluation of three stochastic rainfall models, J. Hydrol., 228, 130–149, 2000.
Cowpertwait, P. S. P., Isham, V., and Onof, C.: Point process models of rainfall: developments for fine-scale structure, P. Roy. Soc. A-Math. Phy., 463, 2569–2587, 2007.
Czado, C.: Pair-copula constructions of multivariate copulas, in: Copula Theory and Its Applications, edited by: Jaworski, P., Durante, F., Härdle, W. K., and Rychlik, T., Lecture Notes in Statistics, 198, 93–109, Springer Berlin Heidelberg, 2010.
Dai, Y., Zeng, X., Dickinson, R. E., Baker, I., Bonan, G. B., Bosilovich, M. G., Denning, A. S., Dirmeyer, P. A., Houser, P. R., Niu, G., Oleson, K. W., Schlosser, C. A., and Yang, Z. L.: The Common Land Model, B. Am. Meteorol. Soc., 84, 1013–1023, 2003.
De Jongh, I. L. M., Verhoest, N. E. C., and De Troch, F.: Analysis of a 105-year time series of precipitation observed at Uccle, Belgium, Int. J. Climatol., 26, 2023–2039, 2006.
Démarée, G. R.: Le pluviographe centenaire du plateau d' Uccle: son histoire, ses données et ses applications, Houille blanche, 2003-004, 95–102, 2003.
Droogers, P. and Allen, R. G.: Estimating reference evapotranspiration under inaccurate data conditions, Irrig. Drain. Syst., 16, 33–45, 2002.
Duan, Q., Sorooshian, S., and Gupta, V. K.: Optimal use of the SCE-UA global optimization method for calibrating watershed models, J. Hydrol., 158, 265–284, 1994.
Gyasi-Agyei, Y.: Identification of regional parameters of a stochastic model for rainfall disaggregation, J. Hydrol., 223, 148–163, 1999.
Heneker, T. M., Lambert, M. F., and Kuczera, G.: A point rainfall model for risk-based design, J. Hydrol., 247, 54–71, 2001.
Joe, H.: Multivariate Models and Dependence Concepts, Chapman & Hall, London, 1997.
Kavvas, M. L. and Delleur, J. W.: A stochastic cluster model of daily rainfall sequences, Water Resour. Res., 17, 1151–1160, 1981.
Kennedy, J. and Eberhart, R.: Particle swarm optimization, in: Proceedings of the IEEE International Conference on neural networks, 1942–1948, Perth, WA, Australia, 1995.
Khaliq, M. N. and Cunnane, C.: Modelling point rainfall occurrences with the modified Bartlett–Lewis rectangular pulses model, J. Hydrol., 180, 109–138, 1996.
Kruskal, W. H. and Wallis, W. A.: Use of ranks in one-criterion analysis of variance, J. Am. Stat. As., 47, 583–621, 1952.
Kurowicka, D. and Cooke, R. M.: Sampling algorithms for generating joint uniform distributions using the vine-copula method, Comput. Stat. Data Anal., 51, 2889–2906, 2007.
Mason, S. J.: Simulating climate over Western North America using stochastic weather generators, Clim. Change, 62, 155–187, 2004.
Moore, R. J.: The PDM rainfall-runoff model, Hydrol. Earth Syst. Sci., 11, 483–499, https://doi.org/10.5194/hess-11-483-2007, 2007.
Nelsen, R. B.: An Introduction to Copulas, Springer, New York, 2006.
Nielsen, S. A. and Hansen, E.: Numerical simulation of the rainfall-runoff process on a daily basis, Nordic Hydrol., 3, 171–190, 1973.
Ntegeka, V. and Willems, P.: Trends and multidecadal oscillations in rainfall extremes, based on a more than 100-year time series of 10 min rainfall intensities at Uccle, Belgium, Water Resour. Res., 44, W07402, https://doi.org/10.1029/2007WR006471, 2008.
Onof, C. and Wheater, H. S.: Modelling of British rainfall using a random parameter Bartlett–Lewis rectangular pulse model, J. Hydrol., 149, 67–95, 1993.
Onof, C., Wheater, H. S., and Isham, V.: Note on the analytical expression of the inter-event time characteristics for Bartlett–Lewis type rainfall models, J. Hydrol., 157, 197–210, 1994.
Onof, C., Chandler, R. E., Kakou, A., Northrop, P., Wheater, H. S., and Isham, V.: Rainfall modelling using Poisson-cluster processes: a review of developments, Stoch. Env. Res. Risk A., 14, 384–411, 2000.
Pham, M. T., Vanhaute, W. J., Vandenberghe, S., De Baets, B., and Verhoest, N. E. C.: An assessment of the ability of Bartlett–Lewis type of rainfall models to reproduce drought statistics, Hydrol. Earth Syst. Sci., 17, 5167–5183, https://doi.org/10.5194/hess-17-5167-2013, 2013.
Pham, M. T., Vernieuwe, H., De Baets, B., Willems, P., and Verhoest, N. E. C.: Stochastic simulation of precipitation-consistent daily reference evapotranspiration using vine copulas, Stoch. Env. Res. Risk A., 30, 2197–2214, 2016.
Rodriguez-Iturbe, I., Cox, D. R., and Isham, V.: Some models for rainfall based on stochastic point processes, P. R. Soc. Lon. Ser.-A, 410, 269–288, 1987a.
Rodriguez-Iturbe, I., De Power, B. F., and Valdes, J. B.: Rectangular pulses point process models for rainfall: Analysis of empirical data, J. Geophys. Res., 92, 9645–9656, 1987b.
Rodriguez-Iturbe, I., Cox, D. R., and Isham, V.: A point process model for rainfall: Further developments, P. R. Soc. Lon. Ser.-A, 417, 283–298, 1988.
Salvadori, G. and De Michele, C.: On the use of copulas in hydrology: Theory and practice, J. Hydrol. Eng., 12, 369–380, 2007.
Salvadori, G., De Michele, C., Kottegoda, N., and Rosso, R.: Extremes in Nature: An Approach Using Copulas, Springer, New York, 2007.
Schepsmeier, U.: Efficient information based goodness-of-fit tests for vine copula models with fixed margins: A comprehensive review, J. Multivariate Anal., 138, 34–52, 2015.
Sklar, A.: Fonctions de répartition à n dimensions et leurs marges, Publications de l'Institut de Statistique de l'Université de Paris, 8, 229–231, 1959.
Smithers, J. C., Pegram, G. G. S., and Schulze, R. E.: Design rainfall estimation in South Africa using Bartlett–Lewis rectangular pulse rainfall models, J. Hydrol., 258, 83–99, 2002.
Stern, R. D. and Coe, R.: A model fitting analysis of daily rainfall data, J. R. Stat. Soc., 147, 1–34, 1984.
Todorovic, P. and Woolhiser, D. A.: A stochastic model of n-day precipitation, J. Appl. Meteorol., 14, 17–24, 1975.
Vaes, G. and Berlamont, J.: Selection of appropriate short rainfall series for design of combined sewer systems, in: Proceedings of 90 International Conference on Urban Drainage on Internet, Hydroinform, Czech Republic, 2000.
Vandenberghe, S., Verhoest, N. E. C., Buyse, E., and De Baets, B.: A stochastic design rainfall generator based on copulas and mass curves, Hydrol. Earth Syst. Sci., 14, 2429–2442, https://doi.org/10.5194/hess-14-2429-2010, 2010.
Vanhaute, W. J., Vandenberghe, S., Scheerlinck, K., De Baets, B., and Verhoest, N. E. C.: Calibration of the modified Bartlett–Lewis model using global optimization techniques and alternative objective functions, Hydrol. Earth Syst. Sci., 16, 873–891, https://doi.org/10.5194/hess-16-873-2012, 2012.
Velghe, T., Troch, P. A., De Troch, F. P., and Van de Velde, J.: Evaluation of cluster-based rectangular pulses point process models for rainfall. Water Resour. Res., 30, 2847–2857, 1994.
Verhoest, N. E. C., Troch, P., and De Troch, F.: On the applicability of Bartlett–Lewis rectangular pulses models in the modeling of design storms at a point, J. Hydrol., 202, 108–120, 1997.
Verhoest, N. E. C., Vandenberghe, S., Cabus, P., Onof, C., Meca-Figueras, T., and Jameleddine, S.: Are stochastic point rainfall models able to preserve extreme flood statistics?, Hydrol. Process., 24, 3439–3445, 2010.
Viglione, A., Castellarin, A., Rogger, M., Merz, R., and Blöschl, G.: Extreme rainstorms: Comparing regional envelope curves to stochastically generated events, Water Resour. Res., 48, W01509, https://doi.org/10.1029/2011WR010515, 2012.
Vrebos, D., Vansteenkiste, T., Staes, J., Willems, P., and Meire, P.: Water displacement by sewer infrastructure in the Grote Nete catchment, Belgium, and its hydrological regime effects, Hydrol. Earth Syst. Sci., 18, 1119–1136, https://doi.org/10.5194/hess-18-1119-2014, 2014.
Welch, B.: On the comparison of several mean values: an alternative approach, Biometrika, 38, 330–336, 1951.
Wilks, D. S.: Multisite generalization of a daily stochastic precipitation generation model, J. Hydrol., 210, 178–191, 1998.
Wilks, D. S. and Wilby, R. L.: The weather generation game: a review of stochastic weather models, Prog. Phys. Geog., 23, 329–357, 1999.
Willems, P.: Adjustment of extreme rainfall statistics accounting for multidecadal climate oscillations, J. Hydrol., 490, 126–133, 2013.
Woolhiser, D. A. and Roldán, J.: Stochastic daily precipitation models: 2. A comparison of distributions of amounts, Water Resour. Res., 18, 1461–1468, 1982.
In this paper, stochastically generated rainfall and corresponding evapotranspiration time series, generated by means of vine copulas, are used to force a simple conceptual hydrological model. The results obtained are comparable to the modelled discharge using observed forcing data. Yet, uncertainties in the modelled discharge increase with an increasing number of stochastically generated time series used. Still, the developed model has great potential for hydrological impact analysis.
In this paper, stochastically generated rainfall and corresponding evapotranspiration time...