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Volumn 17, Issue 4, 2013, Pages 1281-1296

Multivariate return periods in hydrology: A critical and practical review focusing on synthetic design hydrograph estimation

Author keywords

[No Author keywords available]

Indexed keywords

CONDITIONAL DISTRIBUTION; DEPENDENCE STRUCTURES; HYDROGRAPH ESTIMATION; KENDALL DISTRIBUTION FUNCTION; MULTIVARIATE APPROACH; MULTIVARIATE DISTRIBUTIONS; MULTIVARIATE FREQUENCY ANALYSIS; SIMULATED DISCHARGES;

EID: 84878978436     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-17-1281-2013     Document Type: Review
Times cited : (245)

References (54)
  • 1
    • 77249134143 scopus 로고    scopus 로고
    • Models for construction of multivariate dependence-A comparison study
    • doi:10.1080/13518470802588767
    • Aas, K. and Berg, D.: Models for construction of multivariate dependence-a comparison study, Eur. J. Finance, 15, 639-659, doi:10.1080/13518470802588767, 2009.
    • (2009) Eur. J. Finance , vol.15 , pp. 639-659
    • Aas, K.1    Berg, D.2
  • 2
    • 63649120808 scopus 로고    scopus 로고
    • Pair-copula constructions of multiple dependence
    • doi:10.1016/j.insmatheco.2007.02.001
    • Aas, K., Czado, C., Frigessi, A., and Bakken, H.: Pair-copula constructions of multiple dependence, Insur. Math. Econ., 44, 182-198, doi:10.1016/j.insmatheco.2007.02.001, 2009.
    • (2009) Insur. Math. Econ. , vol.44 , pp. 182-198
    • Aas, K.1    Czado, C.2    Frigessi, A.3    Bakken, H.4
  • 3
    • 0035603369 scopus 로고    scopus 로고
    • Probability density decomposition for conditionally dependent random variables modeled by vines
    • Bedford, T. and Cooke, R.: Probability density decomposition for conditionally dependent random variables modeled by vines, Ann. Math. Artif. Intell., 32, 245-268, 2001.
    • (2001) Ann. Math. Artif. Intell. , vol.32 , pp. 245-268
    • Bedford, T.1    Cooke, R.2
  • 4
    • 0036392207 scopus 로고    scopus 로고
    • Vines-A new graphical model for dependent random variables
    • Bedford, T. and Cooke, R.: Vines-A new graphical model for dependent random variables, Ann. Stat., 30, 1031-1068, 2002.
    • (2002) Ann. Stat. , vol.30 , pp. 1031-1068
    • Bedford, T.1    Cooke, R.2
  • 5
    • 68949159313 scopus 로고    scopus 로고
    • Copula Goodness-of-fit testing: An overview and power comparison
    • Berg, D.: Copula Goodness-of-fit testing: An overview and power comparison, Eur. J. Finance, 15, 675-701, 2009.
    • (2009) Eur. J. Finance , vol.15 , pp. 675-701
    • Berg, D.1
  • 6
    • 84873453041 scopus 로고    scopus 로고
    • Modeling dependence with C-and D-vine copulas: The R package CDVine
    • Brechmann, E. C. and Schepsmeier, U.: Modeling Dependence with C-and D-Vine Copulas: The R Package CDVine, J. Stat. Softw., 52, 1-27, 2013.
    • (2013) J. Stat. Softw. , vol.52 , pp. 1-27
    • Brechmann, E.C.1    Schepsmeier, U.2
  • 9
    • 2542594763 scopus 로고    scopus 로고
    • Multivariate hydrological frequency analysis using copulas
    • doi:10.1029/2003WR002456
    • Favre, A. C., Adlouni, S. E., Perreault, L., Thiemonge, N., and Bobee, B.: Multivariate hydrological frequency analysis using copulas, Water Resour. Res., 40, W01101, doi:10.1029/2003WR002456, 2004.
    • (2004) Water Resour. Res. , vol.40
    • Favre, A.C.1    Adlouni, S.E.2    Perreault, L.3    Thiemonge, N.4    Bobee, B.5
  • 10
    • 34347377353 scopus 로고    scopus 로고
    • Everything you always wanted to know about copula modeling but were afraid to ask
    • Genest, C. and Favre, A. C.: Everything you always wanted to know about copula modeling but were afraid to ask, J. Hydrol. Eng., 12, 347-368, 2007.
    • (2007) J. Hydrol. Eng. , vol.12 , pp. 347-368
    • Genest, C.1    Favre, A.C.2
  • 11
    • 35848967004 scopus 로고    scopus 로고
    • Metael-liptical copulas and their use in frequency analysis of mul-tivariate hydrological data
    • doi:10.1029/2006WR005275
    • Genest, C., Favre, A. C., Beliveau, J., and Jacques, C.: Metael-liptical copulas and their use in frequency analysis of mul-tivariate hydrological data, Water Resour. Res., 43, W09401, doi:10.1029/2006WR005275, 2007.
    • (2007) Water Resour. Res. , vol.43
    • Genest, C.1    Favre, A.C.2    Beliveau, J.3    Jacques, C.4
  • 12
    • 33746255727 scopus 로고    scopus 로고
    • Asymmetric copulas in multivariate flood frequency analysis
    • Grimaldi, S. and Serinaldi, F.: Asymmetric copulas in multivariate flood frequency analysis, Adv. Water Resour., 29, 1155-1167, 2006a.
    • (2006) Adv. Water Resour. , vol.29 , pp. 1155-1167
    • Grimaldi, S.1    Serinaldi, F.2
  • 13
    • 33645732940 scopus 로고    scopus 로고
    • Design hydrograph analysis with 3-copula function
    • Grimaldi, S. and Serinaldi, F.: Design hydrograph analysis with 3-copula function, Hydrol. Sci. J.-J. Sci. Hydrol., 51, 223-238, 2006b.
    • (2006) Hydrol. Sci. J.-J. Sci. Hydrol. , vol.51 , pp. 223-238
    • Grimaldi, S.1    Serinaldi, F.2
  • 14
    • 77956918115 scopus 로고    scopus 로고
    • Flow time estimation with variable hillslope velocity in ungauged basins
    • Grimaldi, S., Petroselli, A., Alonso, G., and Nardi, F.: Flow time estimation with variable hillslope velocity in ungauged basins, Adv. Water Resour., 33, 1216-1223, 2010.
    • (2010) Adv. Water Resour. , vol.33 , pp. 1216-1223
    • Grimaldi, S.1    Petroselli, A.2    Alonso, G.3    Nardi, F.4
  • 15
    • 84856854872 scopus 로고    scopus 로고
    • A parsimonious geomor-phological unit hydrograph for rainfall runoff modeling in small ungauged basins
    • Grimaldi, S., Petroselli, A., and Nardi, F.: A parsimonious geomor-phological unit hydrograph for rainfall runoff modeling in small ungauged basins, Hydrol. Process., 57, 73-83, 2012a.
    • (2012) Hydrol. Process. , vol.57 , pp. 73-83
    • Grimaldi, S.1    Petroselli, A.2    Nardi, F.3
  • 16
    • 84875672662 scopus 로고    scopus 로고
    • Green-Ampt Curve Number mixed procedure as an empirical tool for rainfall-runoff modelling in small and ungauged basins
    • doi:10.1002/hyp.9303, in press
    • Grimaldi, S., Petroselli, A., and Romano, N.: Green-Ampt Curve Number mixed procedure as an empirical tool for rainfall-runoff modelling in small and ungauged basins, Hydrol. Process., doi:10.1002/hyp.9303, in press, 2012b.
    • (2012) Hydrol. Process
    • Grimaldi, S.1    Petroselli, A.2    Romano, N.3
  • 17
    • 84866169043 scopus 로고    scopus 로고
    • Design hydrograph estimation in small and ungauged watersheds: Continuous simulation method versus event-based approach
    • Grimaldi, S., Petroselli, A., and Serinaldi, F.: Design hydrograph estimation in small and ungauged watersheds: continuous simulation method versus event-based approach, Hydrol. Process., 26, 3124-3134, 2012c.
    • (2012) Hydrol. Process. , vol.26 , pp. 3124-3134
    • Grimaldi, S.1    Petroselli, A.2    Serinaldi, F.3
  • 18
    • 84864802212 scopus 로고    scopus 로고
    • A continuous simulation model for design-hydrograph estimation in ungauged watersheds
    • Grimaldi, S., Petroselli, A., and Serinaldi, F.: A continuous simulation model for design-hydrograph estimation in ungauged watersheds, Hydrolog. Sci. J., 57, 1035-1051, 2012d.
    • (2012) Hydrolog. Sci. J. , vol.57 , pp. 1035-1051
    • Grimaldi, S.1    Petroselli, A.2    Serinaldi, F.3
  • 19
    • 77249111771 scopus 로고    scopus 로고
    • On the simplified pair-copula construction-simply useful or too simplistic?
    • Hobæk Haff, I., Aas, K., and Frigessi, A.: On the simplified pair-copula construction-Simply useful or too simplistic?, J. Multi-var. Anal., 101, 1296-1310, 2010.
    • (2010) J. Multi-Var. Anal. , vol.101 , pp. 1296-1310
    • Hobæk Haff, I.1    Aas, K.2    Frigessi, A.3
  • 22
    • 34548645057 scopus 로고    scopus 로고
    • A bivariate frequency analysis of extreme rainfall with implications for design
    • doi:10.1029/2007JD008522
    • Kao, S.-C. and Govindaraju, R. S.: A bivariate frequency analysis of extreme rainfall with implications for design, J. Geophys. Res., 112, D13119, doi:10.1029/2007JD008522, 2007.
    • (2007) J. Geophys. Res. , vol.112
    • Kao, S.-C.1    Govindaraju, R.S.2
  • 23
    • 41149133233 scopus 로고    scopus 로고
    • Trivariate statistical analysis of extreme rainfall events via the Plackett family of copulas
    • doi:10.1029/2007WR006261
    • Kao, S.-C. and Govindaraju, R. S.: Trivariate statistical analysis of extreme rainfall events via the Plackett family of copulas, Water Resour. Res., 44, W02415, doi:10.1029/2007WR006261, 2008.
    • (2008) Water Resour. Res. , vol.44
    • Kao, S.-C.1    Govindaraju, R.S.2
  • 24
    • 71849084400 scopus 로고    scopus 로고
    • A copula-based joint deficit index for droughts
    • doi:10.1016/j.jhydrol.2009.10.029
    • Kao, S.-C. and Govindaraju, R. S.: A copula-based joint deficit index for droughts, J. Hydrol., 380, 121-134, doi:10.1016/j.jhydrol.2009.10.029, 2010.
    • (2010) J. Hydrol. , vol.380 , pp. 121-134
    • Kao, S.-C.1    Govindaraju, R.S.2
  • 25
    • 77953211482 scopus 로고    scopus 로고
    • Modeling multivariate distributions with continuous margins using the copula r package
    • Kojadinovic, I. and Yan, J.: Modeling multivariate distributions with continuous margins using the copula R package, http://www. jstatsoft.org/v34/ i09/, J. Stat. Softw., 34, 1-20, 2010.
    • (2010) J Stat. Softw. , vol.34 , pp. 1-20
    • Kojadinovic, I.1    Yan, J.2
  • 26
    • 33846639289 scopus 로고    scopus 로고
    • Sampling algorithms for generating joint uniform distributions using the vine copula method
    • doi:10.1016/j.csda.2006.11.043
    • Kurowicka, D. and Cooke, R. M.: Sampling algorithms for generating joint uniform distributions using the vine copula method, Comput. Stat. Data Anal., 51, 2889-2906, doi:10.1016/j.csda.2006.11.043, 2007.
    • (2007) Comput. Stat. Data Anal. , vol.51 , pp. 2889-2906
    • Kurowicka, D.1    Cooke, R.M.2
  • 28
    • 21444431713 scopus 로고    scopus 로고
    • Goodness-of-fit test for copulas
    • Panchenko, V.: Goodness-of-fit test for copulas, Physica A, 355, 176-182, 2005.
    • (2005) Physica A , vol.355 , pp. 176-182
    • Panchenko, V.1
  • 29
    • 68249153760 scopus 로고    scopus 로고
    • Assessment of the risk of inland flooding in a tidal sluice regulated catchment using multi-variate statistical techniques
    • doi:10.1016/j.pce.2009.03.001
    • Pinya, M. A. S., Madsen, H., and Rosbjerg, D.: Assessment of the risk of inland flooding in a tidal sluice regulated catchment using multi-variate statistical techniques, Phys. Chem. Earth, 34, 662-669, doi:10.1016/j.pce.2009. 03.001, 2009.
    • (2009) Phys. Chem. Earth , vol.34 , pp. 662-669
    • Pinya, M.A.S.1    Madsen, H.2    Rosbjerg, D.3
  • 31
    • 33644782914 scopus 로고    scopus 로고
    • Bivariate return periods via 2-copulas
    • Salvadori, G.: Bivariate return periods via 2-copulas, J. Roy. Stat. Soc. Ser. B, 1, 129-144, 2004.
    • (2004) J. Roy. Stat. Soc. Ser. B , vol.1 , pp. 129-144
    • Salvadori, G.1
  • 32
    • 12544258027 scopus 로고    scopus 로고
    • Frequency analysis via copulas: Theoretical aspects and applications to hydrological events
    • doi:10.1029/2004WR003133
    • Salvadori, G. and De Michele, C.: Frequency analysis via copulas: theoretical aspects and applications to hydrological events, Water Resour. Res., 40, W12511, doi:10.1029/2004WR003133, 2004.
    • (2004) Water Resour. Res. , vol.40
    • Salvadori, G.1    De Michele, C.2
  • 33
    • 33645843059 scopus 로고    scopus 로고
    • Statistical characterization of temporal structure of storms
    • Salvadori, G. and De Michele, C.: Statistical characterization of temporal structure of storms, Adv. Water Resour., 29, 827-842, 2006.
    • (2006) Adv. Water Resour. , vol.29 , pp. 827-842
    • Salvadori, G.1    De Michele, C.2
  • 34
    • 34347386853 scopus 로고    scopus 로고
    • On the use of copulas in hydrology: Theory and practice
    • Salvadori, G. and De Michele, C.: On the use of copulas in hydrology: theory and practice, J. Hydrol. Eng., 12, 369-380, 2007.
    • (2007) J. Hydrol. Eng. , vol.12 , pp. 369-380
    • Salvadori, G.1    De Michele, C.2
  • 35
    • 84883802304 scopus 로고    scopus 로고
    • Multivariate extreme value methods
    • AghaKouchak, A., Easterling D., Hsu, K., Schubert, S., and Sorooshian, S Springer
    • Salvadori, G. and De Michele, C.: Multivariate Extreme Value Methods, in: Extremes in a Changing Climate, edited by: AghaKouchak, A., Easterling, D., Hsu, K., Schubert, S., and Sorooshian, S., Springer, 2013.
    • (2013) Extremes in A Changing Climate
    • Salvadori, G.1    De Michele, C.2
  • 37
    • 84856554102 scopus 로고    scopus 로고
    • On the return period and design in a multivariate framework
    • doi:10.5194/hess-15-3293-2011
    • Salvadori, G., De Michele, C., and Durante, F.: On the return period and design in a multivariate framework, Hydrol. Earth Syst. Sci., 15, 3293-3305, doi:10.5194/hess-15-3293-2011, 2011.
    • (2011) Hydrol. Earth Syst. Sci. , vol.15 , pp. 3293-3305
    • Salvadori, G.1    De Michele, C.2    Durante, F.3
  • 38
    • 0023483807 scopus 로고
    • Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes
    • Schertzer, D. and Lovejoy, S.: Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes, J. Geophys. Res., 92, 9693-9714, 1987.
    • (1987) J. Geophys. Res. , vol.92 , pp. 9693-9714
    • Schertzer, D.1    Lovejoy, S.2
  • 39
    • 67650422532 scopus 로고    scopus 로고
    • A multisite daily rainfall generator driven by bivariate copula-based mixed distributions
    • doi:10.1029/2008JD011258
    • Serinaldi, F.: A multisite daily rainfall generator driven by bivariate copula-based mixed distributions, J. Geophys. Res.-Atmos., 114, D10103, doi:10.1029/2008JD011258, 2009.
    • (2009) J. Geophys. Res.-Atmos. , vol.114
    • Serinaldi, F.1
  • 40
    • 78650119153 scopus 로고    scopus 로고
    • Multifractality imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models, Non-lin
    • doi:10.5194/npg-17-697-2010
    • Serinaldi, F.: Multifractality, imperfect scaling and hydrological properties of rainfall time series simulated by continuous universal multifractal and discrete random cascade models, Non-lin. Processes Geophys., 17, 697-714, doi:10.5194/npg-17-697-2010, 2010.
    • (2010) Processes Geophys. , vol.17 , pp. 697-714
    • Serinaldi, F.1
  • 41
    • 84878976124 scopus 로고    scopus 로고
    • Interactive comment on "joint return periods in hydrology: A critical and practical review focusing on synthetic design hydrograph estimation" S. Vandenberghe et al
    • 12 August 2012
    • Serinaldi, F.: Interactive comment on "Joint return periods in hydrology: a critical and practical review focusing on synthetic design hydrograph estimation" by S. Vandenberghe et al., Hydrol. Earth Syst. Sci. Discuss., 9, C3721-C3721, http://www.hydrol-earth-syst-sci-discuss.net/9/C3721/ 2012/hessd-9-C3721-2012.png, 12 August 2012.
    • Hydrol. Earth Syst. Sci. Discuss. , vol.9
    • Serinaldi, F.1
  • 42
    • 84876897000 scopus 로고    scopus 로고
    • Closure to "synthetic design hydrographs based on distribution functions with finite support" F. Serinaldi and S. Grimaldi
    • Serinaldi, F.: Closure to "Synthetic design hydrographs based on distribution functions with finite support" by F. Serinaldi and S. Grimaldi, J. Hydrol. Eng., 18, 126-129, 2013.
    • (2013) J. Hydrol. Eng. , vol.18 , pp. 126-129
    • Serinaldi, F.1
  • 43
    • 34347387752 scopus 로고    scopus 로고
    • Fully nested 3-copula: Procedure and application on hydrological data
    • Serinaldi, F. and Grimaldi, S.: Fully nested 3-copula: procedure and application on hydrological data, J. Hydrol. Eng., 12, 420-430, 2007.
    • (2007) J. Hydrol. Eng. , vol.12 , pp. 420-430
    • Serinaldi, F.1    Grimaldi, S.2
  • 44
    • 79955731164 scopus 로고    scopus 로고
    • Synthetic design hydrographs based on distribution functions with finite support
    • doi:10.1061/(ASCE)HE.1943-5584.0000339
    • Serinaldi, F. and Grimaldi, S.: Synthetic design hydrographs based on distribution functions with finite support, J. Hydrol. Eng., 16, 434-446, doi:10.1061/(ASCE)HE.1943-5584.0000339, 2011.
    • (2011) J. Hydrol. Eng. , vol.16 , pp. 434-446
    • Serinaldi, F.1    Grimaldi, S.2
  • 45
    • 0042704874 scopus 로고    scopus 로고
    • Return period of bivariate distributed extreme hydro-logical events
    • Shiau, J. T.: Return period of bivariate distributed extreme hydro-logical events, Stoch. Environ. Res. Risk Assess., 17, 42-57, 2003.
    • (2003) Stoch. Environ. Res. Risk Assess. , vol.17 , pp. 42-57
    • Shiau, J.T.1
  • 46
    • 0000795592 scopus 로고
    • Fonctions de répartition à n dimensions et leurs marges
    • Sklar, A.: Fonctions de répartition à n dimensions et leurs marges, Publ. Inst. Statist. Univ. Paris, 8, 229-231, 1959.
    • (1959) Publ. Inst. Statist. Univ. Paris , vol.8 , pp. 229-231
    • Sklar, A.1
  • 47
    • 77955058454 scopus 로고    scopus 로고
    • Meta-elliptical copulas for drought frequency analysis of periodic hydrologic data
    • doi:10.1007/s00477-009-0331-1
    • Song, S. and Singh, V. P.: Meta-elliptical copulas for drought frequency analysis of periodic hydrologic data, Stoch. Environ. Res. Risk Assess., 24, 425-444, doi:10.1007/s00477-009-0331-1, 2010.
    • (2010) Stoch. Environ. Res. Risk Assess. , vol.24 , pp. 425-444
    • Song, S.1    Singh, V.P.2
  • 48
    • 84885848877 scopus 로고    scopus 로고
    • Flood inundation mapping for integrated floodplain management: Upper Mississippi River system
    • doi:10.1002/rra.2583, in press
    • Theiling, C. H., and Burant, J. T.: Flood inundation mapping for integrated floodplain management: Upper Mississippi River system, River Res. Appl., doi:10.1002/rra.2583, in press, 2012.
    • (2012) River Res. Appl
    • Theiling, C.H.1    Burant, J.T.2
  • 49
    • 78649832432 scopus 로고    scopus 로고
    • A stochastic design rainfall generator based on copulas and mass curves
    • doi:10.5194/hess-14-2429-2010
    • Vandenberghe, S., Verhoest, N. E. C., Buyse, E., and De Baets, B.: A stochastic design rainfall generator based on copulas and mass curves, Hydrol. Earth Syst. Sci., 14, 2429-2442, doi:10.5194/hess-14-2429-2010, 2010.
    • (2010) Hydrol. Earth Syst. Sci. , vol.14 , pp. 2429-2442
    • Vandenberghe, S.1    Verhoest, N.E.C.2    Buyse, E.3    De Baets, B.4
  • 50
    • 79960739155 scopus 로고    scopus 로고
    • A comparative copula-based bivariate frequency analysis of observed and simulated storm events: A case study on bartlett-lewis modeled rainfall
    • doi:10.1029/2009WR008388
    • Vandenberghe, S., Verhoest, N. E. C., Onof, C., and De Baets, B.: A comparative copula-based bivariate frequency analysis of observed and simulated storm events: A case study on Bartlett-Lewis modeled rainfall, Water Resour. Res., 47, W07529, doi:10.1029/2009WR008388, 2011.
    • (2011) Water Resour. Res. , vol.47
    • Vandenberghe, S.1    Verhoest, N.E.C.2    Onof, C.3    De Baets, B.4
  • 51
    • 84871252164 scopus 로고    scopus 로고
    • Design event selection in bivariate hydro-logical frequency analysis
    • Volpi, E. and Fiori, A.: Design event selection in bivariate hydro-logical frequency analysis, Hydrolog. Sci. J., 57, 1-10, 2012.
    • (2012) Hydrolog. Sci. J. , vol.57 , pp. 1-10
    • Volpi, E.1    Fiori, A.2
  • 52
    • 77957367730 scopus 로고    scopus 로고
    • Drought analysis using trivariate copulas conditional on climatic states
    • doi:10.1061/(ASCE)HE.1943-5584.0000169
    • Wong, G., Lambert, M. F., Leonard, M., and Metcalfe, A. V.: Drought analysis using trivariate copulas conditional on climatic states, J. Hydrol. Eng., 15, 129-141, doi:10.1061/(ASCE)HE.1943-5584.0000169, 2010.
    • (2010) J. Hydrol. Eng. , vol.15 , pp. 129-141
    • Wong, G.1    Lambert, M.F.2    Leonard, M.3    Metcalfe, A.V.4
  • 53
    • 0037108694 scopus 로고    scopus 로고
    • Bivariate frequency analysis: Discussion of some useful concepts in hydrological application
    • Yue, S. and Rasmussen, P.: Bivariate frequency analysis: discussion of some useful concepts in hydrological application, Hydrol. Process., 16, 2881-2898, 2002.
    • (2002) Hydrol. Process. , vol.16 , pp. 2881-2898
    • Yue, S.1    Rasmussen, P.2
  • 54
    • 34347395738 scopus 로고    scopus 로고
    • Gumbel-Hougaard copula for trivariate rainfall frequency analysis
    • Zhang, L. and Singh, V. P.: Gumbel-Hougaard copula for trivariate rainfall frequency analysis, J. Hydrol. Eng., 12, 409-419, 2007.
    • (2007) J. Hydrol. Eng. , vol.12 , pp. 409-419
    • Zhang, L.1    Singh, V.P.2


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