Statistical Hydrology

S. Grimaldi; S. C. Kao; A. Castellarin; S. M. Papalexiou; A. Viglione; F. Laio; H. Aksoy; A. Gedikli

doi:10.1016/B978-0-444-53199-5.00046-4

Statistical Hydrology

S. Grimaldi, S. C. Kao, A. Castellarin, S. M. Papalexiou, A. Viglione, F. Laio, H. Aksoy, A. Gedikli

Water Resources Science & Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

50 Scopus citations

Abstract

Hydrological phenomena such as precipitation, floods, and droughts are inherently random by nature. Due to the complexity of the hydrologic system, these physical processes are not fully understood and reliable deterministic mathematical models are still to be developed. Therefore, in order to provide useful analyses for designing hydraulic facilities and infrastructures, statistical approaches have been commonly adopted. This chapter describes some statistical topics widely used in hydrology. Among the large number of subjects available in literature, the attention is focalized on some of them particularly useful either for innovative hydrological analyses or for an appropriate application of common procedures.Precisely, the chapter describes in details the stationary hypothesis on hydrological time series, the univariate extreme value analysis procedure, the intensity-duration-frequency curves, the copula function useful for multivariate analysis, and the regional flood frequency analysis.

Original language	English
Title of host publication	The Science of Hydrology
Publisher	Elsevier
Pages	479-517
Number of pages	39
Volume	2
ISBN (Electronic)	9780444531933
ISBN (Print)	9780444531995
DOIs	https://doi.org/10.1016/B978-0-444-53199-5.00046-4
State	Published - 2011

Keywords

Copula function
Extreme rainfall analysis
Extreme value analysis
Goodness-of-fit tests
IDF - intensity duration frequency curves
L-moments
Multivariate distributions
Nonstationary time series
RFFA - regional flood frequency analysis
Regional index flood
Time series segmentation
Trend detection

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10.1016/B978-0-444-53199-5.00046-4

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title = "Statistical Hydrology",

abstract = "Hydrological phenomena such as precipitation, floods, and droughts are inherently random by nature. Due to the complexity of the hydrologic system, these physical processes are not fully understood and reliable deterministic mathematical models are still to be developed. Therefore, in order to provide useful analyses for designing hydraulic facilities and infrastructures, statistical approaches have been commonly adopted. This chapter describes some statistical topics widely used in hydrology. Among the large number of subjects available in literature, the attention is focalized on some of them particularly useful either for innovative hydrological analyses or for an appropriate application of common procedures.Precisely, the chapter describes in details the stationary hypothesis on hydrological time series, the univariate extreme value analysis procedure, the intensity-duration-frequency curves, the copula function useful for multivariate analysis, and the regional flood frequency analysis.",

keywords = "Copula function, Extreme rainfall analysis, Extreme value analysis, Goodness-of-fit tests, IDF - intensity duration frequency curves, L-moments, Multivariate distributions, Nonstationary time series, RFFA - regional flood frequency analysis, Regional index flood, Time series segmentation, Trend detection",

author = "S. Grimaldi and Kao, {S. C.} and A. Castellarin and Papalexiou, {S. M.} and A. Viglione and F. Laio and H. Aksoy and A. Gedikli",

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AU - Grimaldi, S.

AU - Kao, S. C.

AU - Castellarin, A.

AU - Papalexiou, S. M.

AU - Viglione, A.

AU - Laio, F.

AU - Aksoy, H.

AU - Gedikli, A.

PY - 2011

Y1 - 2011

N2 - Hydrological phenomena such as precipitation, floods, and droughts are inherently random by nature. Due to the complexity of the hydrologic system, these physical processes are not fully understood and reliable deterministic mathematical models are still to be developed. Therefore, in order to provide useful analyses for designing hydraulic facilities and infrastructures, statistical approaches have been commonly adopted. This chapter describes some statistical topics widely used in hydrology. Among the large number of subjects available in literature, the attention is focalized on some of them particularly useful either for innovative hydrological analyses or for an appropriate application of common procedures.Precisely, the chapter describes in details the stationary hypothesis on hydrological time series, the univariate extreme value analysis procedure, the intensity-duration-frequency curves, the copula function useful for multivariate analysis, and the regional flood frequency analysis.

AB - Hydrological phenomena such as precipitation, floods, and droughts are inherently random by nature. Due to the complexity of the hydrologic system, these physical processes are not fully understood and reliable deterministic mathematical models are still to be developed. Therefore, in order to provide useful analyses for designing hydraulic facilities and infrastructures, statistical approaches have been commonly adopted. This chapter describes some statistical topics widely used in hydrology. Among the large number of subjects available in literature, the attention is focalized on some of them particularly useful either for innovative hydrological analyses or for an appropriate application of common procedures.Precisely, the chapter describes in details the stationary hypothesis on hydrological time series, the univariate extreme value analysis procedure, the intensity-duration-frequency curves, the copula function useful for multivariate analysis, and the regional flood frequency analysis.

KW - Copula function

KW - Extreme rainfall analysis

KW - Extreme value analysis

KW - Goodness-of-fit tests

KW - IDF - intensity duration frequency curves

KW - L-moments

KW - Multivariate distributions

KW - Nonstationary time series

KW - RFFA - regional flood frequency analysis

KW - Regional index flood

KW - Time series segmentation

KW - Trend detection

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DO - 10.1016/B978-0-444-53199-5.00046-4

M3 - Chapter

AN - SCOPUS:84908698460

SN - 9780444531995

VL - 2

SP - 479

EP - 517

BT - The Science of Hydrology

PB - Elsevier

ER -

Statistical Hydrology

Abstract

Keywords

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