Flood routing via a copula-based approach
Floods are among the most common natural disasters that if not controlled may cause severe damage and high costs. Flood control and management can be done using structural measures that should be designed based on the flood design studies. The simulation of outflow hydrograph using inflow hydrograph...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IWA Publishing
2021-12-01
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| Series: | Hydrology Research |
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| Online Access: | http://hr.iwaponline.com/content/52/6/1294 |
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| author | Mohammad Nazeri Tahroudi Yousef Ramezani Carlo De Michele Rasoul Mirabbasi |
| author_facet | Mohammad Nazeri Tahroudi Yousef Ramezani Carlo De Michele Rasoul Mirabbasi |
| author_sort | Mohammad Nazeri Tahroudi |
| collection | DOAJ |
| description | Floods are among the most common natural disasters that if not controlled may cause severe damage and high costs. Flood control and management can be done using structural measures that should be designed based on the flood design studies. The simulation of outflow hydrograph using inflow hydrograph can provide useful information. In this study, a copula-based approach was applied to simulate the outflow hydrograph of various floods, including the Wilson River flood, the River Wye flood and the Karun River flood. In this regard, two-dimensional copula functions and their conditional density were used. The results of evaluating the dependence structure of the studied variables (inflow and outflow hydrographs) using Kendall's tau confirmed the applicability of copula functions for bivariate modeling of inflow and outflow hydrographs. The simulation results were evaluated using the root-mean-square error, the sum of squared errors and the Nash–Sutcliffe efficiency coefficient (NSE). The results showed that the copula-based approach has high performance. In general, the copula-based approach has been able to simulate the peak flow and the rising and falling limbs of the outflow hydrographs well. Also, all simulated data are at the 95% confidence interval. The NSE values for the copula-based approach are 0.99 for all three case studies. According to NSE values and violin plots, it can be seen that the performance of the copula-based approach in simulating the outflow hydrograph in all three case studies is acceptable and shows a good performance. HIGHLIGHTS
In this study, the application of the conditional density of bivariate copulas was investigated in flood routing via a copula-based approach.;
The results showed that the copula-based approach has a high performance.;
The copula-based approach has been able to simulate the peak flows and the rising and falling limbs of the outflow hydrographs well.; |
| first_indexed | 2024-04-11T20:03:13Z |
| format | Article |
| id | doaj.art-1c2be307af044b04ab158cbb7ba59bff |
| institution | Directory Open Access Journal |
| issn | 1998-9563 2224-7955 |
| language | English |
| last_indexed | 2024-04-11T20:03:13Z |
| publishDate | 2021-12-01 |
| publisher | IWA Publishing |
| record_format | Article |
| series | Hydrology Research |
| spelling | doaj.art-1c2be307af044b04ab158cbb7ba59bff2022-12-22T04:05:27ZengIWA PublishingHydrology Research1998-95632224-79552021-12-015261294130810.2166/nh.2021.008008Flood routing via a copula-based approachMohammad Nazeri Tahroudi0Yousef Ramezani1Carlo De Michele2Rasoul Mirabbasi3 Department of Water Engineering, University of Birjand, Birjand, Iran Department of Water Engineering, University of Birjand, Birjand, Iran Department of Civil and Environmental Engineering, Politecnico di Milano, Milano, Italy Department of Water Engineering, Shahrekord University, Shahrekord, Iran Floods are among the most common natural disasters that if not controlled may cause severe damage and high costs. Flood control and management can be done using structural measures that should be designed based on the flood design studies. The simulation of outflow hydrograph using inflow hydrograph can provide useful information. In this study, a copula-based approach was applied to simulate the outflow hydrograph of various floods, including the Wilson River flood, the River Wye flood and the Karun River flood. In this regard, two-dimensional copula functions and their conditional density were used. The results of evaluating the dependence structure of the studied variables (inflow and outflow hydrographs) using Kendall's tau confirmed the applicability of copula functions for bivariate modeling of inflow and outflow hydrographs. The simulation results were evaluated using the root-mean-square error, the sum of squared errors and the Nash–Sutcliffe efficiency coefficient (NSE). The results showed that the copula-based approach has high performance. In general, the copula-based approach has been able to simulate the peak flow and the rising and falling limbs of the outflow hydrographs well. Also, all simulated data are at the 95% confidence interval. The NSE values for the copula-based approach are 0.99 for all three case studies. According to NSE values and violin plots, it can be seen that the performance of the copula-based approach in simulating the outflow hydrograph in all three case studies is acceptable and shows a good performance. HIGHLIGHTS In this study, the application of the conditional density of bivariate copulas was investigated in flood routing via a copula-based approach.; The results showed that the copula-based approach has a high performance.; The copula-based approach has been able to simulate the peak flows and the rising and falling limbs of the outflow hydrographs well.;http://hr.iwaponline.com/content/52/6/1294conditional densitycopula functionsflood hydrographkarun riverriver wyewilson river |
| spellingShingle | Mohammad Nazeri Tahroudi Yousef Ramezani Carlo De Michele Rasoul Mirabbasi Flood routing via a copula-based approach Hydrology Research conditional density copula functions flood hydrograph karun river river wye wilson river |
| title | Flood routing via a copula-based approach |
| title_full | Flood routing via a copula-based approach |
| title_fullStr | Flood routing via a copula-based approach |
| title_full_unstemmed | Flood routing via a copula-based approach |
| title_short | Flood routing via a copula-based approach |
| title_sort | flood routing via a copula based approach |
| topic | conditional density copula functions flood hydrograph karun river river wye wilson river |
| url | http://hr.iwaponline.com/content/52/6/1294 |
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