# A Possible Definition of the Input Function for a Rainfall-Runoff Model with Lumped Parameters

*by*Paolo Bartolini, Univ di Genova, Genoa, Italy, Univ di Genova, Genoa, Italy,

**Abstract:**It may be useful to introduce, instead of a 'mean areal rainfall', another input function, defined as that input which is transformed by the model into a known output Q(t). Such a procedure can be followed when the output is known; the results depend on the choice of the model. The relationships between the previously defined input function and the observed point rainfalls must be examined in order to detect any regularity. Modeling these regularities makes possible the use of the definition of the input function even when the output is unknown, thus allowing the use of the model for the synthetic generation of outputs. In the following paper, the calibration phase is performed for a small creek in northern Italy. A first evaluation of the results is proposed.

**Subject Headings:**Rainfall-runoff relationships | Terminology and definition | Mathematical models | Parameters (statistics) | Hydrologic models | Mathematics | Calibration | Rivers and streams | Italy | Europe

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