Efficient calibration of a conceptual hydrological model based on the enhanced Gauss–Levenberg–Marquardt procedure

Vidmar, Andrej (author), Brilly, Mitja (author), Lebar, Klaudija (author), Kryžanowski, Andrej (author)

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
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2020
• Number of pages: 20 str.
• Numbering: Vol. 10, iss. 11, art. 3841
• PID: 20.500.12556/RUL-116916
• UDC: 556:004
• ISSN on article: 2076-3417
• DOI: 10.3390/app10113841
• COBISS.SI-ID: 18190595
• Publication date in RUL: 16.06.2020

Record is a part of a journal

• Title: Applied sciences
• Shortened title: Appl. sci.
• Publisher: MDPI
• ISSN: 2076-3417
• COBISS.SI-ID: 522979353

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 - Slovenian Research Agency
• Project number: P2-0180
• Name: Vodarstvo in geotehnika: orodja in metode za analize in simulacije procesov ter razvoj tehnologij