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Fuzzy-Committees of Conceptual distributed Models
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  • Mostafa Farrag,
  • Mostafa Farrag,
  • Gerald Corzo Perez,
  • Dimitri Solomatine
Mostafa Farrag
GFZ German Research Centre for Geosciences, GFZ German Research Centre for Geosciences

Corresponding Author:[email protected]

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Mostafa Farrag
GFZ German Research Centre for Geosciences, GFZ German Research Centre for Geosciences
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Gerald Corzo Perez
IHE Delft, IHE Delft
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Dimitri Solomatine
Delft University of Technology, Delft University of Technology
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Abstract

Conceptual hydrological models imply a simplification of the complexity of the hydrological system; however, it lacks the flexibility in reproducing a wide range of the catchment responses. Usually, a trade-off is done to sacrifice the accuracy of a specific aspect of the system behavior in favor of the accuracy of other aspects. This study evaluates the benefit of using a modular approach, “The fuzzy committee model” of building specialized models (same structure associated with different parameter realization) to reproduce specific responses (high and low flow response) of the catchment. The study also assesses the applicability of using predicted runoff from both specialized models with certain weights based on a fuzzy membership function to form a fuzzy committee model. This research continues to explore the fuzzy committee models first presented by [Solomatine, 2006] and further developed by [Fenicia et al., 2007; Kayastha et al., 2013]. In this paper, weighting schemes with power parameter values are investigated. A thorough study is conducted on the relation between the fuzzy committee variables (the membership functions and the weighting schemes), and their effect on the model performance. Furthermore, the Fuzzy committee concept is applied on a conceptual distributed model with two cases, the first with lumped catchment parameters and the latter with distributed parameters. A comparison between different combinations of the fuzzy committee variables showed the superiority of all Fuzzy Committee models over single models. Fuzzy committee of distributed models performed well, especially in capturing the highest peak in the calibration data set; however, it needs further study of the effect of model parameterization on the model performance and uncertainty.
21 Feb 2024Published in Advanced Hydroinformatics on pages 99-127. 10.1002/9781119639268.ch4