Articles | Volume 21, issue 1
https://doi.org/10.5194/nhess-21-239-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/nhess-21-239-2021
© Author(s) 2021. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Trivariate copula to design coastal structures
Olivier Orcel
CORRESPONDING AUTHOR
Cerema, Margny-Lès-Compiègne, 60280, France
Philippe Sergent
CORRESPONDING AUTHOR
Cerema, Margny-Lès-Compiègne, 60280, France
François Ropert
Cerema, Margny-Lès-Compiègne, 60280, France
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Cited
18 citations as recorded by crossref.
- Joint probability analysis of significant wave height and wind speed under extreme weather conditions J. Li et al. https://doi.org/10.1016/j.oceaneng.2025.121664
- Determination of the hydrodynamic design parameters water level and wave height using Copula models for the design of coastal protection structures on the Baltic Sea of Germany C. Kaehler & F. Saathoff https://doi.org/10.1002/cepa.3359
- Copula-Based Mapping of Compound Climate Risks to Rainfed Wheat Yield in Semi-Arid Iran P. Allahverdipour & A. Fakheri-Fard https://doi.org/10.1007/s41748-026-01080-z
- Preface: Advances in extreme value analysis and application to natural hazards Y. Hamdi et al. https://doi.org/10.5194/nhess-21-1461-2021
- Multivariate copula-based modelling of tropical cyclone-generated wind, wave, and current extremes: Comparative assessment for offshore sites in China H. Cheng et al. https://doi.org/10.1016/j.oceaneng.2026.125510
- Distributionally robust optimization with bi-hazard seismic risks evaluation for railway planning and design X. Wan et al. https://doi.org/10.1016/j.trgeo.2026.101957
- A new approach for the assessment of coastal flooding risk. Application in Rhodes island, Greece D. Malliouri et al. https://doi.org/10.1016/j.apor.2024.104006
- A Statistical Analysis of the Occurrences of Critical Waves and Water Levels for the Management of the Operativity of the MoSE System in the Venice Lagoon G. Tomasicchio et al. https://doi.org/10.1007/s00477-021-02133-7
- The coastal flooding risk throughout the twenty-first century at the ancient city of Delos, Greece D. Malliouri et al. https://doi.org/10.1007/s11069-025-07263-7
- Quantifying the joint distribution of drought indicators in Borneo fire-prone area M. Najib et al. https://doi.org/10.1088/1755-1315/880/1/012002
- Sea level rise: using copula function to get structure crest level rating from its average overtopping discharge O. Orcel & P. Sergent https://doi.org/10.1080/27678490.2025.2579896
- A Collection of New Trigonometric- and Hyperbolic-FGM-Type Copulas C. Chesneau https://doi.org/10.3390/appliedmath3010010
- Design Verification of a Hybrid Wave-Damping System for Sustainable and Multi-Hazard-Resilient Port Infrastructure at Merak Port (Berth VII), Indonesia S. Marsudi et al. https://doi.org/10.29303/jppipa.v12i5.14936
- Sensitivity analysis of erosion on the landward slope of an earthen flood defense located in southern France submitted to wave overtopping C. Houdard et al. https://doi.org/10.5194/nhess-23-3111-2023
- Determination of Hydrodynamic Design Parameters for Coastal Protection Structures on the German Baltic Sea Using Copula Models C. Kaehler & F. Saathoff https://doi.org/10.3390/jmse14111045
- A Collection of Two-Dimensional Copulas Based on an Original Parametric Ratio Scheme C. Chesneau https://doi.org/10.3390/sym15050977
- Trivariate frequency analysis using copulas emphasizing the importance of the duration of hydrographs for hydraulic works E. Copca Maya & Ó. Fuentes Mariles https://doi.org/10.2166/nh.2025.174
- Comparison of the drought return periods by univariate, bivariate probability distribution, and copula function under SSPs scenarios S. Kim & D. Seo https://doi.org/10.1007/s00704-024-05248-3
18 citations as recorded by crossref.
- Joint probability analysis of significant wave height and wind speed under extreme weather conditions J. Li et al. https://doi.org/10.1016/j.oceaneng.2025.121664
- Determination of the hydrodynamic design parameters water level and wave height using Copula models for the design of coastal protection structures on the Baltic Sea of Germany C. Kaehler & F. Saathoff https://doi.org/10.1002/cepa.3359
- Copula-Based Mapping of Compound Climate Risks to Rainfed Wheat Yield in Semi-Arid Iran P. Allahverdipour & A. Fakheri-Fard https://doi.org/10.1007/s41748-026-01080-z
- Preface: Advances in extreme value analysis and application to natural hazards Y. Hamdi et al. https://doi.org/10.5194/nhess-21-1461-2021
- Multivariate copula-based modelling of tropical cyclone-generated wind, wave, and current extremes: Comparative assessment for offshore sites in China H. Cheng et al. https://doi.org/10.1016/j.oceaneng.2026.125510
- Distributionally robust optimization with bi-hazard seismic risks evaluation for railway planning and design X. Wan et al. https://doi.org/10.1016/j.trgeo.2026.101957
- A new approach for the assessment of coastal flooding risk. Application in Rhodes island, Greece D. Malliouri et al. https://doi.org/10.1016/j.apor.2024.104006
- A Statistical Analysis of the Occurrences of Critical Waves and Water Levels for the Management of the Operativity of the MoSE System in the Venice Lagoon G. Tomasicchio et al. https://doi.org/10.1007/s00477-021-02133-7
- The coastal flooding risk throughout the twenty-first century at the ancient city of Delos, Greece D. Malliouri et al. https://doi.org/10.1007/s11069-025-07263-7
- Quantifying the joint distribution of drought indicators in Borneo fire-prone area M. Najib et al. https://doi.org/10.1088/1755-1315/880/1/012002
- Sea level rise: using copula function to get structure crest level rating from its average overtopping discharge O. Orcel & P. Sergent https://doi.org/10.1080/27678490.2025.2579896
- A Collection of New Trigonometric- and Hyperbolic-FGM-Type Copulas C. Chesneau https://doi.org/10.3390/appliedmath3010010
- Design Verification of a Hybrid Wave-Damping System for Sustainable and Multi-Hazard-Resilient Port Infrastructure at Merak Port (Berth VII), Indonesia S. Marsudi et al. https://doi.org/10.29303/jppipa.v12i5.14936
- Sensitivity analysis of erosion on the landward slope of an earthen flood defense located in southern France submitted to wave overtopping C. Houdard et al. https://doi.org/10.5194/nhess-23-3111-2023
- Determination of Hydrodynamic Design Parameters for Coastal Protection Structures on the German Baltic Sea Using Copula Models C. Kaehler & F. Saathoff https://doi.org/10.3390/jmse14111045
- A Collection of Two-Dimensional Copulas Based on an Original Parametric Ratio Scheme C. Chesneau https://doi.org/10.3390/sym15050977
- Trivariate frequency analysis using copulas emphasizing the importance of the duration of hydrographs for hydraulic works E. Copca Maya & Ó. Fuentes Mariles https://doi.org/10.2166/nh.2025.174
- Comparison of the drought return periods by univariate, bivariate probability distribution, and copula function under SSPs scenarios S. Kim & D. Seo https://doi.org/10.1007/s00704-024-05248-3
Saved (final revised paper)
Latest update: 13 Jun 2026
Short summary
Coastal structures subjected to the actions of waves must be redesigned due to rising sea levels. Their design requires an estimate of the long return period of wave height, wave period, storm surge and more specifically their joint exceedance probabilities. We confirm that the best results are obtained by first aggregating the most correlated variables: wave height and wave period. Nevertheless, the choice of method of aggregation is much less important than the choice of the copula.
Coastal structures subjected to the actions of waves must be redesigned due to rising sea...
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