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Article

Vine-Copula-Based Quantile Regression for Cascade Reservoirs Management

1
Laboratory of Mathematics, Statistics and Applications, Faculty of Sciences, Mohammed V University in Rabat, Rabat 1014, Morocco
2
Department of Mathematics and Statistics, Université de Moncton, Moncton, NB E1A 3E9, Canada
*
Author to whom correspondence should be addressed.
Academic Editor: Krzysztof Kochanek
Water 2021, 13(7), 964; https://doi.org/10.3390/w13070964
Received: 16 February 2021 / Revised: 29 March 2021 / Accepted: 29 March 2021 / Published: 31 March 2021
(This article belongs to the Special Issue Statistical Approach to Hydrological Analysis)
This paper features an application of Regular Vine (R-vine) copulas, a recently developed statistical tool to assess composite risk. Copula-based dependence modelling is a popular tool in conditional risk assessment, but is usually applied to pairs of variables. By contrast, Vine copulas provide greater flexibility and permit the modelling of complex dependency patterns using a wide variety of bivariate copulas which may be arranged and analysed in a tree structure to explore multiple dependencies. This study emphasises the use of R-vine copulas in an analysis of the co-dependencies of five reservoirs in the cascade of the Saint-John River basin in Eastern Canada. The developed R-vine copulas lead to the joint and conditional return periods of maximum volumes, for hydrologic design and cascade reservoir management in the basin. The main attraction of this approach to risk modelling is the flexibility in the choice of distributions used to model heavy-tailed marginals and co-dependencies. View Full-Text
Keywords: cascade reservoirs; quantile regression; vine-copulas; watershed management cascade reservoirs; quantile regression; vine-copulas; watershed management
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MDPI and ACS Style

El Hannoun, W.; El Adlouni, S.-E.; Zoglat, A. Vine-Copula-Based Quantile Regression for Cascade Reservoirs Management. Water 2021, 13, 964. https://doi.org/10.3390/w13070964

AMA Style

El Hannoun W, El Adlouni S-E, Zoglat A. Vine-Copula-Based Quantile Regression for Cascade Reservoirs Management. Water. 2021; 13(7):964. https://doi.org/10.3390/w13070964

Chicago/Turabian Style

El Hannoun, Wafaa, Salah-Eddine El Adlouni, and Abdelhak Zoglat. 2021. "Vine-Copula-Based Quantile Regression for Cascade Reservoirs Management" Water 13, no. 7: 964. https://doi.org/10.3390/w13070964

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