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Efficient calibration of a conceptual hydrological model based on the enhanced Gauss–Levenberg–Marquardt procedure
ID Vidmar, Andrej (Author), ID Brilly, Mitja (Author), ID Lebar, Klaudija (Author), ID Kryžanowski, Andrej (Author)

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Abstract
Various models were developed in the past to simulate different hydrological processes. However, discrepancies between simulated and observed values are still significant and pose a challenge to many researchers. Models contain many parameters that cannot be directly measured. The values of most of these parameters are determined in the calibration process conditioning the efficiency of such models. This paper introduces the use of the enhanced Gauss–Levenberg–Marquardt (GLM) procedure in combination with the singular value decomposition (SVD) and Tikhonov regularization to improve the process of hydrological model calibration. The procedure is tested on a freely available hydrological model using a synthetic dataset. Based on several efficiency measures, the GLM procedure, in combination with SVD and Tikhonov regularization, was found to provide efficient model history matching and almost perfect parameter calibration. Moreover, by comparing the results of the proposed procedure with the results of global evolutionary calibration procedures, it was found that the only calibration using the combined GLM procedure gave a perfect fit in low flows. Last but not least, the noise in the calculation results with the combined GLM method was practically the same in either the calibration or validation procedure, suggesting that only computational noise remained in the results.

Language:English
Keywords:calibration model efficiency, Parameter Estimation Tool (PEST), HBV-light, Gauss–Levenberg–Marquardt procedure, SVD, Tikhonov regularization, parallel computing
Work type:Article (dk_c)
Typology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Year:2020
Publication status in journal:Published
Article version:Publisher's version of article
Number of pages:20 str.
Numbering:Vol. 10, iss. 11, art. 3841
PID:20.500.12556/RUL-116916 This link opens in a new window
UDC:556:004
ISSN on article:2076-3417
DOI:10.3390/app10113841 This link opens in a new window
COBISS.SI-ID:18190595 This link opens in a new window
Publication date in RUL:16.06.2020
Views:625
Downloads:361
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Record is a part of a journal

Title:Applied sciences
Shortened title:Appl. sci.
Publisher:MDPI
ISSN:2076-3417
COBISS.SI-ID:522979353 This link opens in a new window

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:01.06.2020

Secondary language

Language:Slovenian
Keywords:učinkovitost kalibracijskega modela, PEST, HBV-light, Gauss-Levenberg-Marquardt postopek, SVD, Tikhonova regularizacija, paralelno računanje, hidrologija

Projects

Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P2-0180
Name:Vodarstvo in geotehnika: orodja in metode za analize in simulacije procesov ter razvoj tehnologij

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