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Introduction of time variance to linear conceptual catchment models
Author(s) -
Mandeville A. N.,
O'Donnell T.
Publication year - 1973
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr009i002p00298
Subject(s) - impulse response , lti system theory , linear model , variance (accounting) , linear system , surface runoff , mathematics , convolution (computer science) , computer science , statistics , mathematical analysis , artificial intelligence , ecology , accounting , artificial neural network , business , biology
Most linear conceptual models relating rainfall and runoff are time invariant and are based on two simple components, the linear channel and the linear reservoir. Time variant versions of these two components are defined, and expressions are obtained for their impulse responses. The convolution integral is used both to study different combinations of the two basic time variant components and to obtain the response of any time variant linear system to a given input. The theoretical background of more advanced models is discussed and it is suggested that time variance may be introduced into any linear model founded on these two conceptual components.