Articles | Volume 18, issue 1
https://doi.org/10.5194/hess-18-243-2014
© Author(s) 2014. 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-18-243-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
17 Jan 2014
Research article |
| 17 Jan 2014
Just two moments! A cautionary note against use of high-order moments in multifractal models in hydrology
F. Lombardo
Dipartimento di Ingegneria, Università degli Studi Roma Tre, Via Vito Volterra, 62 – 00146 Rome, Italy
E. Volpi
Dipartimento di Ingegneria, Università degli Studi Roma Tre, Via Vito Volterra, 62 – 00146 Rome, Italy
D. Koutsoyiannis
Department of Water Resources, Faculty of Civil Engineering, National Technical University of Athens, Heroon Polytechneiou 5, 15780 Zographou, Greece
S. M. Papalexiou
Department of Water Resources, Faculty of Civil Engineering, National Technical University of Athens, Heroon Polytechneiou 5, 15780 Zographou, Greece
Related authors
No articles found.
Rajani Kumar Pradhan, Yannis Markonis, Francesco Marra, Efthymios I. Nikolopoulos, Simon Michael Papalexiou, and Vincenzo Levizzani
EGUsphere, https://doi.org/10.5194/egusphere-2024-1626, https://doi.org/10.5194/egusphere-2024-1626, 2024
Short summary
Short summary
This study compared global satellite and one reanalysis precipitation dataset to assess diurnal variability. We found that all datasets capture key diurnal precipitation patterns, with maximum precipitation in the afternoon over land and early morning over the ocean. However, there are differences in the exact timing and amount of precipitation. This suggests that it is better to use a combination of datasets for potential applications rather than relying on a single dataset.
Guoqiang Tang, Andrew W. Wood, Andrew J. Newman, Martyn P. Clark, and Simon Michael Papalexiou
Geosci. Model Dev., 17, 1153–1173, https://doi.org/10.5194/gmd-17-1153-2024, https://doi.org/10.5194/gmd-17-1153-2024, 2024
Short summary
Short summary
Ensemble geophysical datasets are crucial for understanding uncertainties and supporting probabilistic estimation/prediction. However, open-access tools for creating these datasets are limited. We have developed the Python-based Geospatial Probabilistic Estimation Package (GPEP). Through several experiments, we demonstrate GPEP's ability to estimate precipitation, temperature, and snow water equivalent. GPEP will be a useful tool to support uncertainty analysis in Earth science applications.
Mijael Rodrigo Vargas Godoy, Yannis Markonis, Oldrich Rakovec, Michal Jenicek, Riya Dutta, Rajani Kumar Pradhan, Zuzana Bešťáková, Jan Kyselý, Roman Juras, Simon Michael Papalexiou, and Martin Hanel
Hydrol. Earth Syst. Sci., 28, 1–19, https://doi.org/10.5194/hess-28-1-2024, https://doi.org/10.5194/hess-28-1-2024, 2024
Short summary
Short summary
The study introduces a novel benchmarking method based on the water cycle budget for hydroclimate data fusion. Using this method and multiple state-of-the-art datasets to assess the spatiotemporal patterns of water cycle changes in Czechia, we found that differences in water availability distribution are dominated by evapotranspiration. Furthermore, while the most significant temporal changes in Czechia occur during spring, the median spatial patterns stem from summer changes in the water cycle.
Guoqiang Tang, Martyn P. Clark, Simon Michael Papalexiou, Andrew J. Newman, Andrew W. Wood, Dominique Brunet, and Paul H. Whitfield
Earth Syst. Sci. Data, 13, 3337–3362, https://doi.org/10.5194/essd-13-3337-2021, https://doi.org/10.5194/essd-13-3337-2021, 2021
Short summary
Short summary
Probabilistic estimates are useful to quantify the uncertainties in meteorological datasets. This study develops the Ensemble Meteorological Dataset for North America (EMDNA). EMDNA has 100 members with daily precipitation amount, mean daily temperature, and daily temperature range at 0.1° spatial resolution from 1979 to 2018. It is expected to be useful for hydrological and meteorological applications in North America.
Demetris Koutsoyiannis and Nikos Mamassis
Hydrol. Earth Syst. Sci., 25, 2419–2444, https://doi.org/10.5194/hess-25-2419-2021, https://doi.org/10.5194/hess-25-2419-2021, 2021
Short summary
Short summary
This paper is the result of new research of ancient and early modern sources about the developments of the concept of the hydrological cycle and of hydrology in general. It shows that the flooding of the Nile was the first geophysical problem formulated in scientific terms in the cradle of natural philosophy and science in the 6th century BC. Aristotle was able to find the correct solution to the problem, which he tested through what it appears to be the first scientific expedition in history.
Guoqiang Tang, Martyn P. Clark, Andrew J. Newman, Andrew W. Wood, Simon Michael Papalexiou, Vincent Vionnet, and Paul H. Whitfield
Earth Syst. Sci. Data, 12, 2381–2409, https://doi.org/10.5194/essd-12-2381-2020, https://doi.org/10.5194/essd-12-2381-2020, 2020
Short summary
Short summary
Station observations are critical for hydrological and meteorological studies, but they often contain missing values and have short measurement periods. This study developed a serially complete dataset for North America (SCDNA) from 1979 to 2018 for 27 276 precipitation and temperature stations. SCDNA is built on multiple data sources and infilling/reconstruction strategies to achieve high-quality estimates which can be used for a variety of applications.
Demetris Koutsoyiannis
Hydrol. Earth Syst. Sci., 24, 3899–3932, https://doi.org/10.5194/hess-24-3899-2020, https://doi.org/10.5194/hess-24-3899-2020, 2020
Short summary
Short summary
We overview and retrieve a great amount of global hydroclimatic data sets. We improve the quantification of the global hydrological cycle, its variability and its uncertainties through the surge of newly available data sets. We test (but do not confirm) established climatological hypotheses, according to which the hydrological cycle should be intensifying due to global warming. We outline a stochastic view of hydroclimate, which provides a reliable means of dealing with its variability.
Romanos Ioannidis, Theano Iliopoulou, Christina Iliopoulou, Loukas Katikas, Angeliki Petsou, Maria-Eleni Merakou, Maria-Eirini Asimomiti, Nikolaos Pelekanos, Giannis Koudouris, Panayiotis Dimitriadis, Christina Plati, Eleni I. Vlahogianni, Konstantinos Kepaptsoglou, Nikos Mamassis, and Demetris Koutsoyannis
Adv. Geosci., 49, 215–224, https://doi.org/10.5194/adgeo-49-215-2019, https://doi.org/10.5194/adgeo-49-215-2019, 2019
Short summary
Short summary
In this paper we investigate the application of a solar-powered bus route to a small-scale transportation system, as such of a university campus. We investigate three different scenarios: (1) solar panels installed on the roof of bus stop shelters, (2) solar panels installed at unused open space in the university, and (3) solar roads, i.e. roads constructed by photovoltaic (PV) materials. We conclude that scenario (2) presents the lowest capital cost in relation to energy generation.
Theano Iliopoulou, Cristina Aguilar, Berit Arheimer, María Bermúdez, Nejc Bezak, Andrea Ficchì, Demetris Koutsoyiannis, Juraj Parajka, María José Polo, Guillaume Thirel, and Alberto Montanari
Hydrol. Earth Syst. Sci., 23, 73–91, https://doi.org/10.5194/hess-23-73-2019, https://doi.org/10.5194/hess-23-73-2019, 2019
Short summary
Short summary
We investigate the seasonal memory properties of a large sample of European rivers in terms of high and low flows. We compute seasonal correlations between peak and low flows and average flows in the previous seasons and explore the links with various physiographic and hydro-climatic catchment descriptors. Our findings suggest that there is a traceable physical basis for river memory which in turn can be employed to reduce uncertainty and improve probabilistic predictions of floods and droughts.
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
Elli Klousakou, Maria Chalakatevaki, Panayiotis Dimitriadis, Theano Iliopoulou, Romanos Ioannidis, Georgios Karakatsanis, Andreas Efstratiadis, Nikos Mamasis, Romina Tomani, Efthimis Chardavellas, and Demetris Koutsoyiannis
Adv. Geosci., 45, 193–199, https://doi.org/10.5194/adgeo-45-193-2018, https://doi.org/10.5194/adgeo-45-193-2018, 2018
Giannis Koudouris, Panayiotis Dimitriadis, Theano Iliopoulou, Nikos Mamassis, and Demetris Koutsoyiannis
Adv. Geosci., 45, 139–145, https://doi.org/10.5194/adgeo-45-139-2018, https://doi.org/10.5194/adgeo-45-139-2018, 2018
Short summary
Short summary
The aim of this work is to investigate the stochastic nature and time evolution of the solar radiation process for daily and hourly scale, with the ultimate goal of creating a new cyclostationary stochastic model capable of reproducing the dependence structure and the marginal distribution of hourly solar radiation via the clearness index KT.
Demetris Koutsoyiannis, Günter Blöschl, András Bárdossy, Christophe Cudennec, Denis Hughes, Alberto Montanari, Insa Neuweiler, and Hubert Savenije
Hydrol. Earth Syst. Sci., 20, 1081–1084, https://doi.org/10.5194/hess-20-1081-2016, https://doi.org/10.5194/hess-20-1081-2016, 2016
G. Blöschl, A. Bárdossy, D. Koutsoyiannis, Z. W. Kundzewicz, I. Littlewood, A. Montanari, and H. Savenije
Hydrol. Earth Syst. Sci., 18, 2433–2435, https://doi.org/10.5194/hess-18-2433-2014, https://doi.org/10.5194/hess-18-2433-2014, 2014
A. Efstratiadis, A. D. Koussis, D. Koutsoyiannis, and N. Mamassis
Nat. Hazards Earth Syst. Sci., 14, 1417–1428, https://doi.org/10.5194/nhess-14-1417-2014, https://doi.org/10.5194/nhess-14-1417-2014, 2014
Related subject area
Subject: Water Resources Management | Techniques and Approaches: Stochastic approaches
Check dam impact on sediment loads: example of the Guerbe River in the Swiss Alps – a catchment scale experiment
Controls on flood managed aquifer recharge through a heterogeneous vadose zone: hydrologic modeling at a site characterized with surface geophysics
Spatiotemporal responses of the crop water footprint and its associated benchmarks under different irrigation regimes to climate change scenarios in China
Bridging the scale gap: obtaining high-resolution stochastic simulations of gridded daily precipitation in a future climate
3D multiple-point geostatistical simulation of joint subsurface redox and geological architectures
News media coverage of conflict and cooperation dynamics of water events in the Lancang–Mekong River basin
Analysis of the effects of biases in ensemble streamflow prediction (ESP) forecasts on electricity production in hydropower reservoir management
Using paleoclimate reconstructions to analyse hydrological epochs associated with Pacific decadal variability
Bias correction of simulated historical daily streamflow at ungauged locations by using independently estimated flow duration curves
Season-ahead forecasting of water storage and irrigation requirements – an application to the southwest monsoon in India
Hydrostratigraphic modeling using multiple-point statistics and airborne transient electromagnetic methods
A risk assessment methodology to evaluate the risk failure of managed aquifer recharge in the Mediterranean Basin
A coupled stochastic rainfall–evapotranspiration model for hydrological impact analysis
Real-time updating of the flood frequency distribution through data assimilation
Estimating drought risk across Europe from reported drought impacts, drought indices, and vulnerability factors
The cost of ending groundwater overdraft on the North China Plain
Definition of efficient scarcity-based water pricing policies through stochastic programming
A dual-inexact fuzzy stochastic model for water resources management and non-point source pollution mitigation under multiple uncertainties
Determining spatial variability of dry spells: a Markov-based method, applied to the Makanya catchment, Tanzania
Streamflow droughts in the Iberian Peninsula between 1945 and 2005: spatial and temporal patterns
Estimating the flood frequency distribution at seasonal and annual time scales
Domestic wells have high probability of pumping septic tank leachate
Record extension for short-gauged water quality parameters using a newly proposed robust version of the Line of Organic Correlation technique
Calibration of the modified Bartlett-Lewis model using global optimization techniques and alternative objective functions
Trend analysis of extreme precipitation in the Northwestern Highlands of Ethiopia with a case study of Debre Markos
Ariel Henrique do Prado, David Mair, Philippos Garefalakis, Chantal Schmidt, Alexander Whittaker, Sebastien Castelltort, and Fritz Schlunegger
Hydrol. Earth Syst. Sci., 28, 1173–1190, https://doi.org/10.5194/hess-28-1173-2024, https://doi.org/10.5194/hess-28-1173-2024, 2024
Short summary
Short summary
Engineering structures known as check dams are built with the intention of managing streams. The effectiveness of such structures can be expressed by quantifying the reduction of the sediment flux after their implementation. In this contribution, we estimate and compare the volumes of sediment transported in a mountain stream for engineered and non-engineered conditions. We found that without check dams the mean sediment flux would be ca. 10 times larger in comparison with the current situation.
Zach Perzan, Gordon Osterman, and Kate Maher
Hydrol. Earth Syst. Sci., 27, 969–990, https://doi.org/10.5194/hess-27-969-2023, https://doi.org/10.5194/hess-27-969-2023, 2023
Short summary
Short summary
In this study, we simulate flood managed aquifer recharge – the process of intentionally inundating land to replenish depleted aquifers – at a site imaged with geophysical equipment. Results show that layers of clay and silt trap recharge water above the water table, where it is inaccessible to both plants and groundwater wells. Sensitivity analyses also identify the main sources of uncertainty when simulating managed aquifer recharge, helping to improve future forecasts of site performance.
Zhiwei Yue, Xiangxiang Ji, La Zhuo, Wei Wang, Zhibin Li, and Pute Wu
Hydrol. Earth Syst. Sci., 26, 4637–4656, https://doi.org/10.5194/hess-26-4637-2022, https://doi.org/10.5194/hess-26-4637-2022, 2022
Short summary
Short summary
Facing the increasing challenge of sustainable crop supply with limited water resources due to climate change, large-scale responses in the water footprint (WF) and WF benchmarks of crop production remain unclear. Here, we quantify the effects of future climate change scenarios on the WF and WF benchmarks of maize and wheat in time and space in China. Differences in crop growth between rain-fed and irrigated farms and among furrow-, sprinkler-, and micro-irrigated regimes are identified.
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
Short summary
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, https://doi.org/10.5194/hess-25-2759-2021, https://doi.org/10.5194/hess-25-2759-2021, 2021
Short summary
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, https://doi.org/10.5194/hess-25-1603-2021, https://doi.org/10.5194/hess-25-1603-2021, 2021
Richard Arsenault and Pascal Côté
Hydrol. Earth Syst. Sci., 23, 2735–2750, https://doi.org/10.5194/hess-23-2735-2019, https://doi.org/10.5194/hess-23-2735-2019, 2019
Short summary
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, https://doi.org/10.5194/hess-22-6399-2018, https://doi.org/10.5194/hess-22-6399-2018, 2018
Short summary
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, https://doi.org/10.5194/hess-22-5741-2018, https://doi.org/10.5194/hess-22-5741-2018, 2018
Short summary
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, https://doi.org/10.5194/hess-22-5125-2018, https://doi.org/10.5194/hess-22-5125-2018, 2018
Short summary
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, https://doi.org/10.5194/hess-22-3351-2018, https://doi.org/10.5194/hess-22-3351-2018, 2018
Short summary
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, https://doi.org/10.5194/hess-22-3213-2018, https://doi.org/10.5194/hess-22-3213-2018, 2018
Short summary
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.
Minh Tu Pham, Hilde Vernieuwe, Bernard De Baets, and Niko E. C. Verhoest
Hydrol. Earth Syst. Sci., 22, 1263–1283, https://doi.org/10.5194/hess-22-1263-2018, https://doi.org/10.5194/hess-22-1263-2018, 2018
Short summary
Short summary
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.
Cristina Aguilar, Alberto Montanari, and María-José Polo
Hydrol. Earth Syst. Sci., 21, 3687–3700, https://doi.org/10.5194/hess-21-3687-2017, https://doi.org/10.5194/hess-21-3687-2017, 2017
Short summary
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, https://doi.org/10.5194/hess-20-2779-2016, https://doi.org/10.5194/hess-20-2779-2016, 2016
Claus Davidsen, Suxia Liu, Xingguo Mo, Dan Rosbjerg, and Peter Bauer-Gottwein
Hydrol. Earth Syst. Sci., 20, 771–785, https://doi.org/10.5194/hess-20-771-2016, https://doi.org/10.5194/hess-20-771-2016, 2016
Short summary
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, https://doi.org/10.5194/hess-19-3925-2015, https://doi.org/10.5194/hess-19-3925-2015, 2015
Short summary
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, https://doi.org/10.5194/hess-18-1793-2014, https://doi.org/10.5194/hess-18-1793-2014, 2014
B. M. C. Fischer, M. L. Mul, and H. H. G. Savenije
Hydrol. Earth Syst. Sci., 17, 2161–2170, https://doi.org/10.5194/hess-17-2161-2013, https://doi.org/10.5194/hess-17-2161-2013, 2013
J. Lorenzo-Lacruz, E. Morán-Tejeda, S. M. Vicente-Serrano, and J. I. López-Moreno
Hydrol. Earth Syst. Sci., 17, 119–134, https://doi.org/10.5194/hess-17-119-2013, https://doi.org/10.5194/hess-17-119-2013, 2013
E. Baratti, A. Montanari, A. Castellarin, J. L. Salinas, A. Viglione, and A. Bezzi
Hydrol. Earth Syst. Sci., 16, 4651–4660, https://doi.org/10.5194/hess-16-4651-2012, https://doi.org/10.5194/hess-16-4651-2012, 2012
J. E. Bremer and T. Harter
Hydrol. Earth Syst. Sci., 16, 2453–2467, https://doi.org/10.5194/hess-16-2453-2012, https://doi.org/10.5194/hess-16-2453-2012, 2012
B. Khalil and J. Adamowski
Hydrol. Earth Syst. Sci., 16, 2253–2266, https://doi.org/10.5194/hess-16-2253-2012, https://doi.org/10.5194/hess-16-2253-2012, 2012
W. J. Vanhaute, S. Vandenberghe, K. Scheerlinck, B. De Baets, and N. E. C. Verhoest
Hydrol. Earth Syst. Sci., 16, 873–891, https://doi.org/10.5194/hess-16-873-2012, https://doi.org/10.5194/hess-16-873-2012, 2012
H. Shang, J. Yan, M. Gebremichael, and S. M. Ayalew
Hydrol. Earth Syst. Sci., 15, 1937–1944, https://doi.org/10.5194/hess-15-1937-2011, https://doi.org/10.5194/hess-15-1937-2011, 2011
Cited articles
Ashkenazy, Y.: The use of generalized information dimension in measuring fractal dimension of time series, Physica A, 271, 427–447, 1999.
Bak, P., Tang, C., and Wiesenfeld, K.: Self-organized criticality: an explanation of 1/f noise, Phys. Rev. Lett., 59, 381–384, 1987.
De Lima, M. I. P. and Grasman, J.: Multifractal analysis of 15-min and daily rainfall from a semi-arid region in Portugal, J. Hydrol., 220, 1–11, 1999.
El Adlouni, S., Bobée, B., and Ouarda, T. B. M. J.: On the tails of extreme event distributions in hydrology, J. Hydrol., 355, 16–33, 2008.
Falconer, K.: Fractal Geometry: Mathematical Foundations and Applications. John Wiley & Sons, Chichester, 288 pp., 1990.
Forbes, C., Evans, M., Hastings, N., and Peacock, B.: Statistical Distributions, 4th Edn., John Wiley & Sons, 212 pp., 2011.
Fraedrich, K. and Larnder, C.: Scaling regimes of composite rainfall time series, Tellus, 45 A, 289–298, 1993.
Gires, A., Tchiguirinskaia, I., Schertzer, D., and Lovejoy, S.: Influence of the zero-rainfall on the assessment of the multifractal parameters, Adv. Water Resour., 45, 13–25, 2012.
Gneiting, T. and Schlather, M.: Stochastic models that separate fractal dimension and the Hurst effect, SIAM Rev., 46, 269–282, 2004.
Grassberger, P. and Procaccia, I.: Characterization of strange attractors, Phys. Rev. Lett., 50, 346–349, 1983.
Hemelrijk, J.: Underlining random variables. Stat. Neerl., 20, 1–7, 1966.
Kottegoda, N. T. and Rosso, R.: Applied Statistics for Civil and Environmental Engineers, 2nd Edn., Blackwell Publishing, 718 pp., 2008.
Koutsoyiannis, D.: The Hurst phenomenon and fractional Gaussian noise made easy, Hydrolog. Sci. J., 47, 573–595, 2002.
Koutsoyiannis, D.: HESS Opinions "A random walk on water", Hydrol. Earth Syst. Sci., 14, 585–601, https://doi.org/10.5194/hess-14-585-2010, 2010.
Koutsoyiannis, D.: Hurst-Kolmogorov dynamics as a result of extremal entropy production, Physica A, 390, 1424–1432, 2011.
Koutsoyiannis, D.: Encolpion of stochastics: Fundamentals of stochastic processes. Department of Water Resources and Environmental Engineering – National Technical University of Athens, Greece, available at: http://itia.ntua.gr/1317 (last access: 15 January 2014), 2013.
Koutsoyiannis, D. and Langousis, A.: Precipitation, in: Treatise on water science, edited by: Wilderer, P. and Uhlenbrook, S., Vol. 2, Oxford: Academic Press, 27–78, 2011.
Koutsoyiannis, D. and Montanari, A.: Statistical analysis of hydroclimatic time series: Uncertainty and insights, Water Resour. Res., 43, W05429, https://doi.org/10.1029/2006WR005592, 2007.
Koutsoyiannis, D., Paschalis, A., and Theodoratos, N.: Two-dimensional Hurst-Kolmogorov process and its application to rainfall fields. J. Hydrol., 398, 91–100, 2011.
Lombardo, F., Volpi, E., and Koutsoyiannis, D.: Rainfall downscaling in time: theoretical and empirical comparison between multifractal and Hurst-Kolmogorov discrete random cascades, Hydrolog. Sci. J., 57, 1052–1066, 2012.
Lopes, R. and Betrouni, N.: Fractal and multifractal analysis: a review. Med. Image Anal., 13, 634–649, 2009.
Mach, J., Mas, F., and Sagués, F.: Two representations in multifractal analysis, J. Phys. A: Math. Gen., 28, 5607–5622, 1995.
Mandelbrot, B. B.: Multifractal power law distributions: Negative and critical dimensions and other "anomalies," explained by a simple example, J. Stat. Phys., 110, 739–774, 2003.
Mandelbrot, B. B. and Van Ness, J. W.: Fractional Brownian motions, fractional noises and applications, SIAM Rev., 10, 422–437, 1968.
Marani, M.: On the correlation structure of continuous and discrete point rainfall, Water Resour. Res., 39, 1128, https://doi.org/10.1029/2002WR001456, 2003.
Markonis, Y. and Koutsoyiannis, D.: Climatic variability over time scales spanning nine orders of magnitude: Connecting Milankovitch cycles with Hurst–Kolmogorov dynamics, Surv. Geophys., 34, 181–207, 2013.
Mascaro, G., Deidda, R., and Hellies, M.: On the nature of rainfall intermittency as revealed by different metrics and sampling approaches, Hydrol. Earth Syst. Sci., 17, 355–369, https://doi.org/10.5194/hess-17-355-2013, 2013.
Meneveau, C. and Sreenivasan, K. R.: The multifractal nature of turbulent energy dissipation, J. Fluid Mech., 224, 429–484, 1991.
Mitzenmacher, M.: A brief history of generative models for power law and lognormal distributions, Internet Math., 1, 226–251, 2004.
Molini, A., Katul, G. G., and Porporato, A.: Revisiting rainfall clustering and intermittency across different climatic regimes, Water Resour. Res., 45, W11403, https://doi.org/10.1029/2008WR007352, 2009.
Molnar, P. and Burlando, P.: Variability in the scale properties of high-resolution precipitation data in the Alpine climate of Switzerland, Water Resour. Res., 44, W10404, https://doi.org/10.1029/2007WR006142, 2008.
Montesarchio, V., Lombardo, F., and Napolitano, F.: Rainfall thresholds and flood warning: an operative case study, Nat. Hazards Earth Syst. Sci., 9, 135–144, https://doi.org/10.5194/nhess-9-135-2009, 2009.
Neuman, S. P.: Apparent/spurious multifractality of data sampled from fractional Brownian/Lévy motions, Hydrol. Process., 24, 2056–2067, 2010.
Newman, M. E. J.: Power laws, Pareto distributions and Zipf's law, Contemp. Phys., 46, 323–351, 2005.
Nykanen, D. and Harris, D.: Orographic influences on the multiscale statistical properties of precipitation, J. Geophys. Res., 108, 8381, https://doi.org/10.1029/2001JD001518, 2003.
Olsson, J.: Limits and characteristics of the multifractal behaviour of a high-resolution rainfall time series, Nonlin. Process. Geophys., 2, 23–29, https://doi.org/10.5194/npg-2-23-1995, 1995.
Ossiander, M. and Waymire, E.: Statistical estimation theory for multiplicative cascades, Ann. Statist., 28, 1533–1560, 2000.
Papalexiou, S. M., Koutsoyiannis, D., and Makropoulos, C.: How extreme is extreme? An assessment of daily rainfall distribution tails, Hydrol. Earth Syst. Sci., 17, 851–862, https://doi.org/10.5194/hess-17-851-2013, 2013.
Papoulis, A.: Probability, Random Variables and Stochastic Processes, 3rd Edn., McGraw Hill, 666 pp., 1991.
Pawelzik, K. and Schuster, H.: Generalized dimensions and entropies from a measured time series, Phys. Rev. A, 35, 481–484, 1987.
Russo, F., Lombardo, F., Napolitano, F., and Gorgucci, E.: Rainfall stochastic modelling for runoff forecasting, Phys. Chem. Earth, 31, 1252–1261, 2006.
Schertzer, D. and Lovejoy, S.: Hard and soft multifractal processes, Physica A, 185, 187–194, 1992.
Schertzer, D. and Lovejoy, S.: Multifractals, generalized scale invariance and complexity in geophysics, Int. J. Bifurcat. Chaos, 21, 3417–3456, 2011.
Serinaldi, F.: Multifractality, imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models, Nonlin. Process. Geophys., 17, 697–714, https://doi.org/10.5194/npg-17-697-2010, 2010.
Vanmarcke, E.: Random fields: Analysis and synthesis, MIT Press, Cambridge, MA., 382 pp., 1983.
Veneziano, D. and Furcolo, P.: Improved moment scaling estimation for multifractal signals, Nonlin. Process. Geophys., 16, 641–653, https://doi.org/10.5194/npg-16-641-2009, 2009.
Veneziano, D. and Lepore, C.: The scaling of temporal rainfall, Water Resour. Res., 48, W08516, https://doi.org/10.1029/2012WR012105, 2012.
Veneziano, D., Furcolo, P., and Iacobellis, V.: Imperfect scaling of time and space-time rainfall, J. Hydrol., 322, 105–119, 2006.
Venugopal, V., Roux, S. G., Foufoula-Georgiou, E., and Arneodo, A.: Revisiting multifractality of high-resolution temporal rainfall using a wavelet-based formalism, Water Resour. Res., 42, W06D14, https://doi.org/10.1029/2005WR004489, 2006.
Verrier, S., De Montera, L., Barthès, L., and Mallet, C.: Multifractal analysis of African monsoon rain fields, taking into account the zero rain-rate problem, J. Hydrol., 389, 111–120, https://doi.org/10.1016/j.jhydrol.2010.05.035, 2010.
Verrier, S., Mallet, C., and Barthès, L.: Multiscaling properties of rain in the time domain, taking into account rain support biases, J. Geophys. Res., 116, D20119, https://doi.org/10.1029/2011JD015719, 2011.
Villarini, G., Lang, J. B., Lombardo, F., Napolitano, F., Russo, F., and Krajewski, W. F.: Impact of different regression frameworks on the estimation of the scaling properties of radar rainfall, Atmos. Res., 86, 340–349, 2007.
Wallis, J. R., Matalas, N. C., and Slack, J. R.: Just a Moment!, Water Resour. Res., 10, 211–219, 1974.
Special issue