Articles | Volume 18, issue 1
https://doi.org/10.5194/hess-18-243-2014
https://doi.org/10.5194/hess-18-243-2014
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, E. Volpi, D. Koutsoyiannis, and S. M. Papalexiou

Related authors

GPEP v1.0: the Geospatial Probabilistic Estimation Package to support Earth science applications
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
Water cycle changes in Czechia: a multi-source water budget perspective
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
EMDNA: an Ensemble Meteorological Dataset for North America
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
From mythology to science: the development of scientific hydrological concepts in Greek antiquity and its relevance to modern hydrology
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
SCDNA: a serially complete precipitation and temperature dataset for North America from 1979 to 2018
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

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
Ariel Henrique do Prado, David Mair, Philippos Garefalakis, Chantal Schmidt, Alexander C. Whittaker, Sebastien Castelltort, and Fritz Schlunegger
Hydrol. Earth Syst. Sci. Discuss., https://doi.org/10.5194/hess-2023-220,https://doi.org/10.5194/hess-2023-220, 2023
Revised manuscript accepted for HESS
Short summary
Controls on flood managed aquifer recharge through a heterogeneous vadose zone: hydrologic modeling at a site characterized with surface geophysics
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
Spatiotemporal responses of the crop water footprint and its associated benchmarks under different irrigation regimes to climate change scenarios in China
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
Bridging the scale gap: obtaining high-resolution stochastic simulations of gridded daily precipitation in a future climate
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
3D multiple-point geostatistical simulation of joint subsurface redox and geological architectures
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

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.