Book contents
- Copulas and Their Applications in Water Resources Engineering
- Copulas and Their Applications in Water Resources Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- Part One Theory
- Part Two Applications
- 10 Rainfall Frequency Analysis
- 11 Flood Frequency Analysis
- 12 Water Quality Analysis
- 13 Drought Analysis
- 14 Compound Extremes
- 15 Network Design
- 16 Suspended Sediment Yield Analysis
- 17 Interbasin Transfer
- Index
- References
11 - Flood Frequency Analysis
from Part Two - Applications
Published online by Cambridge University Press: 03 January 2019
Book contents
- Copulas and Their Applications in Water Resources Engineering
- Copulas and Their Applications in Water Resources Engineering
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- Part One Theory
- Part Two Applications
- 10 Rainfall Frequency Analysis
- 11 Flood Frequency Analysis
- 12 Water Quality Analysis
- 13 Drought Analysis
- 14 Compound Extremes
- 15 Network Design
- 16 Suspended Sediment Yield Analysis
- 17 Interbasin Transfer
- Index
- References
Summary
In this chapter, copula modeling is applied to flood analysis with the use of real-world flood data. The chapter is structured in the following sections: (i) an introduction; (ii) at-site flood frequency analysis; (iii) spatial dependence for flood variables; and (iv) concluding remarks.
- Type
- Chapter
- Information
- Copulas and their Applications in Water Resources Engineering , pp. 396 - 440Publisher: Cambridge University PressPrint publication year: 2019
References
Abberger, K. (2005). A simple graphical method to explore tail-dependence in stock return pairs. Applied Financial Economics, 15(1), 43–51.CrossRefGoogle Scholar
Bezak, N., Mikos, M., and Sraj, M. (2014). Trivariate frequency analysis of peak discharge, hydrograph volume and suspended sediment concentration data using copulas. Water Resources Management, 28, 2195–2212. doi:10.1007/s11269-014-0606-2.Google Scholar
Capéraà, P., Fougeres, A.-L., and Genest, C. (1997). A nonparametric estimation procedure for bivariate exteme value copulas. Biometrika, 84, 567–577.Google Scholar
Chen, L., Singh, V. P., and Guo, S. (2013). Measure of correlation between river flows using the copula-entropy theory. Journal of Hydrologic Engineering, 18(12), 1591–1608.Google Scholar
Chen, L., Singh, V. P., Guo, S., Hao, Z., and Li, T. (2012). Flood coincidence risk analysis using multivariate copula functions. Journal of Hydrologic Engineering, 17(6), 742–755.CrossRefGoogle Scholar
Chowdhary, H., Escobar, L. A., and Singh, V. P. (2011). Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data. Hydrology Research, 42(2–3), 193–216.CrossRefGoogle Scholar
Coles, S. G., Heffernan, J. E., and Tawn, J. A. (1999). Dependence measures for extreme value analyses. Extremes, 2, 339–365.Google Scholar
Durocher, M., Chebana, F., and Ouarda, T. B. M. J. (2016). On the prediction of extreme flood quantiles at ungauged locations with spatial copula. Journal of Hydrology, 533, 523–532. doi:10.1016/j.jhydrol.2015.12.029.Google Scholar
Frahm, G., Junker, M., and Schmidt, R. (2005). Estimating the tail dependence coefficient: properties and pitfalls, Insurance Mathematics & Economics, 37, 80–100.Google Scholar
Joe, H. (1997). Multivariate Models and Dependence Concepts. Chapman & Hall, New York.Google Scholar
Poulin, A., Huard, D., Favre, A.-C., and Pugin, S. (2007). Importance of tail dependence in bivariate frequency analysis. Journal of Hydrologic Engineering, 12(4), 394–403, doi:10.1061/(ASCE)1084–0699(2007).Google Scholar
Requena, A. I., Chebana, F., and Mediero, L. (2016). A complete procedure for multivariate index-flood model application. Journal of Hydrology, 535, 559–580. doi:10.1016/j.jhydrol.2016.02.004.Google Scholar
Schmidt, R. and Stadtmuller, U. (2006). Non-parametric estimation of tail dependence. Scandinavian Journal of Statistics: Theory and Applications, 33(2), 307–335.Google Scholar
Serinaldi, F. (2015). Dismissing return periods. Stochastic Environmental Research and Risk Assessment, 29, 1179–1189, doi:10.1007/s00477–014–0916–1.Google Scholar
Sraj, M., Bezak, N., and Brilly, M. (2015). Bivariate flood frequency analysis using the copula function: a case study of the Litija station on the Sava River. Hydrological Processes, 29, 225–238. doi:10.1002/hyp.10145.Google Scholar
Yue, S., Ouarda, T. B. M. J., Bobee, B., Legendre, P., and Bruneau, P. (1999). The Gumbel mixed model for flood frequency analysis. Journal of Hydrology, 226, 88–100.Google Scholar
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