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Hydrology 2015, 2(2), 69-92; doi:10.3390/hydrology2020069

Hydrological Model Calibration by Sequential Replacement of Weak Parameter Sets Using Depth Function

1
National Institute of Water and Atmospheric Research, 8011 Christchurch, New Zealand
2
Institute for Modeling Hydraulic and Environmental Systems, University of Stuttgart, 70569 Stuttgart, Germany
*
Author to whom correspondence should be addressed.
Academic Editor: Okke Batelaan
Received: 31 December 2014 / Revised: 13 April 2015 / Accepted: 21 April 2015 / Published: 23 April 2015
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Abstract

It is always a dream of hydrologists to model the mystery of complex hydrological processes in a precise way. If parameterized correctly, a simple hydrological model can represent nature very accurately. In this study, a simple and effective optimization algorithm, sequential replacement of weak parameters (SRWP), is introduced for automatic calibration of hydrological models. In the SRWP algorithm, a weak parameter set is sequentially replaced with another deeper and good parameter set. The SRWP algorithm is tested on several theoretical test functions, as well as with a hydrological model. The SRWP algorithm result is compared with the shuffled complex evolution-University of Arizona (SCE-UA) algorithm and the robust parameter estimation (ROPE) algorithm. The result shows that the SRWP algorithm easily overcomes the local minima and converges to the optimal parameter space. The SRWP algorithm does not converge to a single optima; instead, it gives a convex hull of an optimal space. An ensemble of results can be generated from the optimal space for prediction purpose. The ensemble spread will account for the parameter estimation uncertainty. The methodology was demonstrated using the hydrological model (HYMOD) conceptual model on upper Neckar catchments of southwest Germany. The results show that the parameters estimated by this stepwise calibration are robust and comparable to commonly-used optimization algorithms. SRWP can be an alternative to other optimization algorithms for model calibration. View Full-Text
Keywords: depth function; parameterization; HYMOD; the SRWP algorithm depth function; parameterization; HYMOD; the SRWP algorithm
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Singh, S.K.; Bárdossy, A. Hydrological Model Calibration by Sequential Replacement of Weak Parameter Sets Using Depth Function. Hydrology 2015, 2, 69-92.

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