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A Discrete Conceptualization of a Volterra Series Model for Surface Runoff
Author(s) -
Napiórkowski Jaroslaw J.,
Kundzewicz Zbigniew W.
Publication year - 1986
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/wr022i010p01413
Subject(s) - volterra series , series (stratigraphy) , conceptualization , nonlinear system , surface runoff , mathematics , cascade , computer science , hydrology (agriculture) , geology , engineering , geotechnical engineering , physics , artificial intelligence , chemical engineering , paleontology , ecology , quantum mechanics , biology
The Volterra series rainfall‐runoff model used to be regarded as a nonlinear black box with no correspondence between the physical prototype and the model parameters. However, as was outlined in earlier contributions by Napiórkowski and coauthors (J. J. Napiórkowski, 1978, 1983; J. J. Napiórkowski and W. G. Strupczewski, 1979, 1981; J. J. Napiórkowski and P. O'Kane, 1984), the output signal of a cascade of identical nonlinear reservoirs can be approximately expressed in the form of a Volterra series model. This offers obvious advantages in the process of identification due to the parsimony of parameters. The conceptualization of the Volterra series model performed in the present study is based on a state space formulation within the discrete framework justified in view of the inherently discrete problems that we are forced to deal with in practice. The methodology presented is tested on data from the catchment of the Cache River in southern Illinois.