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A mathematical framework for studying rainfall intensity-duration-frequency relationships
A general formula for the rainfall intensity-duration-frequency (idf) relationship, consistent with the theoretical probabilistic foundation of the analysis of rainfall maxima is proposed. SpecificExpand
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Climate change, the Hurst phenomenon, and hydrological statistics
Abstract The intensive research of recent years on climate change has led to the strong conclusion that climate has always, throughout the Earth's history, changed irregularly on all time scales.Expand
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The Hurst phenomenon and fractional Gaussian noise made easy
Abstract The Hurst phenomenon, which characterizes hydrological and other geophysical time series, is formulated and studied in an easy manner in terms of the variance and autocorrelation of aExpand
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Statistics of extremes and estimation of extreme rainfall: II. Empirical investigation of long rainfall records / Statistiques de valeurs extrêmes et estimation de précipitations extrêmes: II.
Abstract Abstract In the first part of this study, theoretical analyses showed that the Gumbel distribution is quite unlikely to apply to hydrological extremes and that the extreme valueExpand
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“Panta Rhei—Everything Flows”: Change in hydrology and society—The IAHS Scientific Decade 2013–2022
Abstract The new Scientific Decade 2013–2022 of IAHS, entitled “Panta Rhei—Everything Flows”, is dedicated to research activities on change in hydrology and society. The purpose of Panta Rhei is toExpand
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One decade of multi-objective calibration approaches in hydrological modelling: a review
TLDR
We link the multi-criteria calibration approach with the concepts of uncertainty and equifinality. Expand
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Battle of extreme value distributions: A global survey on extreme daily rainfall
[1] Theoretically, if the distribution of daily rainfall is known or justifiably assumed, then one could argue, based on extreme value theory, that the distribution of the annual maxima of dailyExpand
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Statistics of extremes and estimation of extreme rainfall: I. Theoretical investigation / Statistiques de valeurs extrêmes et estimation de précipitations extrêmes: I. Recherche théorique
Abstract Abstract The Gumbel distribution has been the prevailing model for quantifying risk associated with extreme rainfall. Several arguments including theoretical reasoning and empiricalExpand
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Statistical analysis of hydroclimatic time series: Uncertainty and insights
TLDR
We demonstrate that the characteristics of temperature series, which appear to be compatible with the LTP hypothesis, imply a dramatic increase of uncertainty in statistical estimation and reduction of significance in statistical testing, in comparison with classical statistics. Expand
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Nonstationarity versus scaling in hydrology
Abstract The perception of a changing climate, which impacts also hydrological processes, is now generally admitted. However, the way of handling the changing nature of climate in hydrologic practiceExpand
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