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Titel |
Technical Note: Analytical sensitivity analysis of a two parameter recursive digital baseflow separation filter |
VerfasserIn |
K. Eckhardt |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1027-5606
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Digitales Dokument |
URL |
Erschienen |
In: Hydrology and Earth System Sciences ; 16, no. 2 ; Nr. 16, no. 2 (2012-02-13), S.451-455 |
Datensatznummer |
250013175
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Publikation (Nr.) |
copernicus.org/hess-16-451-2012.pdf |
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Zusammenfassung |
A sensitivity analysis for a well-established baseflow separation technique,
a two parameter recursive digital filter, is presented. The sensitivity of
the calculated baseflow index to errors or uncertainties of the two filter
parameters and of the initial baseflow value is analytically ascertained. It
is found that the influence of the initial baseflow value is negligible for
long time series. The propagation of errors or uncertainties of the two
filter parameters into the baseflow index is expressed by a dimensionless
sensitivity index, the ratio between the relative error of the baseflow
index and the relative error of the respective parameter. Representative
index values are derived by application of the resulting equations to 65
North American catchments. In the mean the parameter a, the recession
constant, has a stronger influence on the calculated baseflow index than the
second filter parameter BFImax. This is favourable in that a can be
determined by a recession analysis and therefore should be less uncertain.
Whether this finding also applies for a specific catchment can easily be
checked by means of the derived equations. |
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