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A stochastic design rainfall generator based on copulas and mass curves

Sander Vandenberghe UGent, Niko Verhoest UGent, E Buyse and Bernard De Baets UGent (2010) HYDROLOGY AND EARTH SYSTEM SCIENCES. 14(12). p.2429-2442
abstract
The use of design storms can be very useful in many hydrological and hydraulic practices. In this study, the concept of a copula-based secondary return period in combination with the concept of mass curves is used to generate point-scale design storms. The analysis is based on storms selected from the 105 year rainfall time series with a 10 min resolution, measured at Uccle, Belgium. In first instance, bivariate copulas and secondary return periods are explained, together with a focus on which couple of storm variables is of highest interest for the analysis and a discussion of how the results might be affected by the goodness-of-fit of the copula. Subsequently, the fitted copula is used to sample storms with a predefined secondary return period for which characteristic variables such as storm duration and total storm depth can be derived. In order to construct design storms with a realistic storm structure, mass curves of 1st, 2nd, 3rd and 4th quartile storms are developed. An analysis shows that the assumption of independence between the secondary return period and the internal storm structure could be made. Based on the mass curves, a technique is developed to randomly generate an intrastorm structure. The coupling of both techniques eventually results in a methodology for stochastic design storm generation. Finally, its practical usefulness for design studies is illustrated based on the generation of a set of statistically identical design storm and rainfall-runoff modelling.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
PRECIPITATION, HYETOGRAPH, STORM, MODEL, copulas, mass curves, design rainfall, TIME, IDENTIFICATION, SIMULATION, BELGIUM, PDM
journal title
HYDROLOGY AND EARTH SYSTEM SCIENCES
Hydrol. Earth Syst. Sci.
volume
14
issue
12
pages
2429 - 2442
Web of Science type
Article
Web of Science id
000285576800005
JCR category
WATER RESOURCES
JCR impact factor
2.463 (2010)
JCR rank
5/75 (2010)
JCR quartile
1 (2010)
ISSN
1027-5606
DOI
10.5194/hess-14-2429-2010
language
English
UGent publication?
yes
classification
A1
copyright statement
I have retained and own the full copyright for this publication
id
1211509
handle
http://hdl.handle.net/1854/LU-1211509
date created
2011-04-22 09:47:20
date last changed
2011-04-27 14:59:09
@article{1211509,
  abstract     = {The use of design storms can be very useful in many hydrological and hydraulic practices. In this study, the concept of a copula-based secondary return period in combination with the concept of mass curves is used to generate point-scale design storms. The analysis is based on storms selected from the 105 year rainfall time series with a 10 min resolution, measured at Uccle, Belgium. In first instance, bivariate copulas and secondary return periods are explained, together with a focus on which couple of storm variables is of highest interest for the analysis and a discussion of how the results might be affected by the goodness-of-fit of the copula. Subsequently, the fitted copula is used to sample storms with a predefined secondary return period for which characteristic variables such as storm duration and total storm depth can be derived. In order to construct design storms with a realistic storm structure, mass curves of 1st, 2nd, 3rd and 4th quartile storms are developed. An analysis shows that the assumption of independence between the secondary return period and the internal storm structure could be made. Based on the mass curves, a technique is developed to randomly generate an intrastorm structure. The coupling of both techniques eventually results in a methodology for stochastic design storm generation. Finally, its practical usefulness for design studies is illustrated based on the generation of a set of statistically identical design storm and rainfall-runoff modelling.},
  author       = {Vandenberghe, Sander and Verhoest, Niko and Buyse, E and De Baets, Bernard},
  issn         = {1027-5606},
  journal      = {HYDROLOGY AND EARTH SYSTEM SCIENCES},
  keyword      = {PRECIPITATION,HYETOGRAPH,STORM,MODEL,copulas,mass curves,design rainfall,TIME,IDENTIFICATION,SIMULATION,BELGIUM,PDM},
  language     = {eng},
  number       = {12},
  pages        = {2429--2442},
  title        = {A stochastic design rainfall generator based on copulas and mass curves},
  url          = {http://dx.doi.org/10.5194/hess-14-2429-2010},
  volume       = {14},
  year         = {2010},
}

Chicago
Vandenberghe, Sander, Niko Verhoest, E Buyse, and Bernard De Baets. 2010. “A Stochastic Design Rainfall Generator Based on Copulas and Mass Curves.” Hydrology and Earth System Sciences 14 (12): 2429–2442.
APA
Vandenberghe, Sander, Verhoest, N., Buyse, E., & De Baets, B. (2010). A stochastic design rainfall generator based on copulas and mass curves. HYDROLOGY AND EARTH SYSTEM SCIENCES, 14(12), 2429–2442.
Vancouver
1.
Vandenberghe S, Verhoest N, Buyse E, De Baets B. A stochastic design rainfall generator based on copulas and mass curves. HYDROLOGY AND EARTH SYSTEM SCIENCES. 2010;14(12):2429–42.
MLA
Vandenberghe, Sander, Niko Verhoest, E Buyse, et al. “A Stochastic Design Rainfall Generator Based on Copulas and Mass Curves.” HYDROLOGY AND EARTH SYSTEM SCIENCES 14.12 (2010): 2429–2442. Print.