Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt Procedure
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...
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| Format: | Article |
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MDPI AG
2020-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/11/3841 |
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| author | Andrej Vidmar Mitja Brilly Klaudija Sapač Andrej Kryžanowski |
| author_facet | Andrej Vidmar Mitja Brilly Klaudija Sapač Andrej Kryžanowski |
| author_sort | Andrej Vidmar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T19:27:28Z |
| format | Article |
| id | doaj.art-2a3a62300c3844fdb3f5753bd8fea8b7 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-10T19:27:28Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-2a3a62300c3844fdb3f5753bd8fea8b72023-11-20T02:23:35ZengMDPI AGApplied Sciences2076-34172020-05-011011384110.3390/app10113841Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt ProcedureAndrej Vidmar0Mitja Brilly1Klaudija Sapač2Andrej Kryžanowski3Faculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, SloveniaFaculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, SloveniaFaculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, SloveniaFaculty of Civil and Geodetic Engineering, University of Ljubljana, Jamova 2, 1000 Ljubljana, SloveniaVarious 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.https://www.mdpi.com/2076-3417/10/11/3841calibration model efficiencyParameter Estimation Tool (PEST)HBV-lightGauss–Levenberg–Marquardt procedureSVDTikhonov regularization |
| spellingShingle | Andrej Vidmar Mitja Brilly Klaudija Sapač Andrej Kryžanowski Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt Procedure Applied Sciences calibration model efficiency Parameter Estimation Tool (PEST) HBV-light Gauss–Levenberg–Marquardt procedure SVD Tikhonov regularization |
| title | Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt Procedure |
| title_full | Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt Procedure |
| title_fullStr | Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt Procedure |
| title_full_unstemmed | Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt Procedure |
| title_short | Efficient Calibration of a Conceptual Hydrological Model Based on the Enhanced Gauss–Levenberg–Marquardt Procedure |
| title_sort | efficient calibration of a conceptual hydrological model based on the enhanced gauss levenberg marquardt procedure |
| topic | calibration model efficiency Parameter Estimation Tool (PEST) HBV-light Gauss–Levenberg–Marquardt procedure SVD Tikhonov regularization |
| url | https://www.mdpi.com/2076-3417/10/11/3841 |
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