Journal
HYDROLOGICAL SCIENCES JOURNAL-JOURNAL DES SCIENCES HYDROLOGIQUES
Volume 48, Issue 1, Pages 109-124Publisher
IAHS PRESS, INST HYDROLOGY
DOI: 10.1623/hysj.48.1.109.43484
Keywords
rainfall-runoff modelling; exponential store
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Stores are widely used tools in conceptual soil-moisture accounting rainfall-runoff models. Various mathematical laws are used to describe the outflow of such stores. The exponential store has received less attention than the linear store, but it has proved to be a highly efficient tool in streamflow modelling. The aim of this study is to show that the common way of dealing with this store-without integration in time-is mathematically and physically flawed. This misuse can result in poorer reliability and efficiency of rainfall-runoff models that include such a store. Surprisingly, this inconsistency had a significant impact on only a limited number of catchments among the 138 used to carry out the tests. However, it can have dramatic consequences for the simulation of large flood events. Therefore, an exact discrete formulation should be preferred in rainfall-runoff models.
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