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Titel |
Characterization of peak flow events with local singularity method |
VerfasserIn |
Q. Cheng, L. Li, L. Wang |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 16, no. 4 ; Nr. 16, no. 4 (2009-07-22), S.503-513 |
Datensatznummer |
250013230
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Publikation (Nr.) |
copernicus.org/npg-16-503-2009.pdf |
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Zusammenfassung |
Three methods, return period, power-law frequency plot (concentration-area)
and local singularity index, are introduced in the paper for characterizing
peak flow events from river flow data for the past 100 years from 1900 to
2000 recorded at 25 selected gauging stations on rivers in the Oak Ridges
Moraine (ORM) area, Canada. First a traditional method, return period, was
applied to the maximum annual river flow data. Whereas the Pearson III
distribution generally fits the values, a power-law frequency plot (C-A) on
the basis of self-similarity principle provides an effective mean for
distinguishing "extremely" large flow events from the regular flow events.
While the latter show a power-law distribution, about 10 large flow events
manifest departure from the power-law distribution and these flow events can
be classified into a separate group most of which are related to flood
events. It is shown that the relation between the average water releases
over a time period after flow peak and the time duration may follow a
power-law distribution. The exponent of the power-law or singularity index
estimated from this power-law relation may be used to characterize
non-linearity of peak flow recessions. Viewing large peak flow events or
floods as singular processes can anticipate the application of power-law
models not only for characterizing the frequency distribution of peak flow
events, for example, power-law relation between the number and size of
floods, but also for describing local singularity of processes such as
power-law relation between the amount of water released versus releasing
time. With the introduction and validation of singularity of peak flow
events, alternative power-law models can be used to depict the recession
property as well as other types of non-linear properties. |
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