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Volumn 22, Issue 1, 2008, Pages 107-122

The flood probability distribution tail: How heavy is it?

Author keywords

Asymptotic behaviour; Cascades; Flood frequency analysis; Heavy tails; Multifractals; Power law

Indexed keywords

FLOOD FREQUENCY; MAXIMUM LIKELIHOOD ANALYSIS; PARAMETERIZATION; POWER LAW; PROBABILITY; RIVER DISCHARGE;

EID: 36349004840     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-006-0101-2     Document Type: Article
Times cited : (51)

References (57)
  • 1
    • 0031713724 scopus 로고    scopus 로고
    • Modeling river flows with heavy tails
    • Anderson PL, Meerschaert M (1998) Modeling river flows with heavy tails. Water Resour Res 34(9):2271-2280
    • (1998) Water Resour Res , vol.34 , Issue.9 , pp. 2271-2280
    • Anderson, P.L.1    Meerschaert, M.2
  • 5
    • 0016463938 scopus 로고
    • Probability plotting methods and order statistics
    • Barnett V (1975) Probability plotting methods and order statistics. Appl Stat 24:95-108
    • (1975) Appl Stat , vol.24 , pp. 95-108
    • Barnett, V.1
  • 8
    • 0000857049 scopus 로고
    • Kernel estimate of the tail index of a distribution
    • Csorgo M, Deheuvels P, Mason D (1985) Kernel estimate of the tail index of a distribution. Ann Stat 13:1050-1077
    • (1985) Ann Stat , vol.13 , pp. 1050-1077
    • Csorgo, M.1    Deheuvels, P.2    Mason, D.3
  • 9
    • 0015599997 scopus 로고
    • A particular comparison of annual maxima and partial duration series methods of flood frequency prediction
    • Cunnane C (1973) A particular comparison of annual maxima and partial duration series methods of flood frequency prediction. J Hydrol 18:257-271
    • (1973) J Hydrol , vol.18 , pp. 257-271
    • Cunnane, C.1
  • 10
    • 0024165507 scopus 로고
    • Methods and merits of regional flood frequency analysis
    • Cunnane C (1988) Methods and merits of regional flood frequency analysis. J Hydrol 100:269-290
    • (1988) J Hydrol , vol.100 , pp. 269-290
    • Cunnane, C.1
  • 12
    • 10644297488 scopus 로고    scopus 로고
    • Some hydrological applications of small sample estimators of Generalized Pareto and extreme value distributions
    • De Michele C, Salvadori G (2005) Some hydrological applications of small sample estimators of Generalized Pareto and extreme value distributions. J Hydrol 301(1-4):37-53
    • (2005) J Hydrol , vol.301 , Issue.1-4 , pp. 37-53
    • De Michele, C.1    Salvadori, G.2
  • 13
    • 0842291532 scopus 로고    scopus 로고
    • Probable maximum precipitation estimation using multifractals: Application in the Eastern United States
    • Douglas E, Barros AP (2003) Probable maximum precipitation estimation using multifractals: Application in the Eastern United States. J Hydrometeorol 4(6):1012-1024
    • (2003) J Hydrometeorol , vol.4 , Issue.6 , pp. 1012-1024
    • Douglas, E.1    Barros, A.P.2
  • 14
    • 84958156266 scopus 로고
    • On the estimation of the frequency distributions of the largest or smallest member of a sample
    • Fisher R, Tippett L (1928) On the estimation of the frequency distributions of the largest or smallest member of a sample. Proceedings of the Cambridge Philosophical Society 24:180-190
    • (1928) Proceedings of the Cambridge Philosophical Society , vol.24 , pp. 180-190
    • Fisher, R.1    Tippett, L.2
  • 15
    • 0000005110 scopus 로고
    • Sur la distribution limite du terme maximum d'une série aléatoire
    • Gnedenko B (1943) Sur la distribution limite du terme maximum d'une série aléatoire. Ann Math 44:423-453
    • (1943) Ann Math , vol.44 , pp. 423-453
    • Gnedenko, B.1
  • 16
    • 0018713386 scopus 로고
    • Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form
    • Greenwood JA, Landwher JM, Matalas NC, Wallis JR (1979) Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form. Water Resour Res 15(5):1049-1054
    • (1979) Water Resour Res , vol.15 , Issue.5 , pp. 1049-1054
    • Greenwood, J.A.1    Landwher, J.M.2    Matalas, N.C.3    Wallis, J.R.4
  • 17
    • 0025224314 scopus 로고
    • Multiscaling properties of spatial rainfall and river flow distributions
    • Gupta VK, Waymire E (1990) Multiscaling properties of spatial rainfall and river flow distributions. J Geophys Res 95(D3):1999-2009
    • (1990) J Geophys Res , vol.95 , Issue.D3 , pp. 1999-2009
    • Gupta, V.K.1    Waymire, E.2
  • 18
    • 0002407801 scopus 로고
    • On some simple estimate of an exponent of regular variation
    • Hall P (1982) On some simple estimate of an exponent of regular variation. J R Stat Soc 44:37-42
    • (1982) J R Stat Soc , vol.44 , pp. 37-42
    • Hall, P.1
  • 19
    • 0001263124 scopus 로고
    • A simple general approach to inference about the tail of a distribution
    • Hill BM (1975) A simple general approach to inference about the tail of a distribution. Ann Stat 3(5):1163-1174
    • (1975) Ann Stat , vol.3 , Issue.5 , pp. 1163-1174
    • Hill, B.M.1
  • 20
    • 0000310360 scopus 로고
    • L-moments: Analysis and estimation of distributions using linear combinations of order statistics
    • Hosking JRM (1990) L-moments: Analysis and estimation of distributions using linear combinations of order statistics. J R Stat Soc Ser B (Methodological) 52(1):102-124
    • (1990) J R Stat Soc Ser B (Methodological) , vol.52 , Issue.1 , pp. 102-124
    • Hosking, J.R.M.1
  • 21
    • 0023400777 scopus 로고
    • Parameter and quantile estimation for Generalized Pareto distribution
    • Hosking JRM, Wallis JR (1987) Parameter and quantile estimation for Generalized Pareto distribution. Technometrics 29(3):339-349
    • (1987) Technometrics , vol.29 , Issue.3 , pp. 339-349
    • Hosking, J.R.M.1    Wallis, J.R.2
  • 25
    • 0000759022 scopus 로고
    • Long-term storage capacity of reservoir
    • Hurst HE (1951) Long-term storage capacity of reservoir. Trans Am Soc Civ Eng 116:770
    • (1951) Trans Am Soc Civ Eng , vol.116 , pp. 770
    • Hurst, H.E.1
  • 26
    • 0037186437 scopus 로고    scopus 로고
    • Development of regional flood-duration-frequency curves based on the index-flood method
    • Javelle P, Ouarda TBMJ, Lang M, Bobée B, Galéa G, Grésillon JM (2002) Development of regional flood-duration-frequency curves based on the index-flood method. J Hydrol 258:249-259
    • (2002) J Hydrol , vol.258 , pp. 249-259
    • Javelle, P.1    Ouarda, T.B.M.J.2    Lang, M.3    Bobée, B.4    Galéa, G.5    Grésillon, J.M.6
  • 27
    • 84904261422 scopus 로고
    • The frequency distribution of the annual maximum (or minimum) value of meteorological elements
    • Jenkinson AF (1955) The frequency distribution of the annual maximum (or minimum) value of meteorological elements. Q J R Meteorol Soc 81:158-171
    • (1955) Q J R Meteorol Soc , vol.81 , pp. 158-171
    • Jenkinson, A.F.1
  • 29
    • 0037196230 scopus 로고    scopus 로고
    • Rainfall-runoff relations for karstic springs: Multifractal analyses
    • Labat D, Mangin A, Ababou R (2002) Rainfall-runoff relations for karstic springs: Multifractal analyses. J Hydrol 256(3-4):176-195
    • (2002) J Hydrol , vol.256 , Issue.3-4 , pp. 176-195
    • Labat, D.1    Mangin, A.2    Ababou, R.3
  • 30
    • 0033530888 scopus 로고    scopus 로고
    • Towards operational guidelines for over-threshold modeling
    • Lang M, Ouarda TBMJ, Bobée B (1999) Towards operational guidelines for over-threshold modeling. J Hydrol 225(3-4):103-117
    • (1999) J Hydrol , vol.225 , Issue.3-4 , pp. 103-117
    • Lang, M.1    Ouarda, T.B.M.J.2    Bobée, B.3
  • 31
    • 0025262715 scopus 로고
    • Multifractals, universality classes, satellite and radar measurement of clouds and rain
    • Lovejoy S, Schertzer D (1990) Multifractals, universality classes, satellite and radar measurement of clouds and rain. J Geophys Resour 95:2021-2034
    • (1990) J Geophys Resour , vol.95 , pp. 2021-2034
    • Lovejoy, S.1    Schertzer, D.2
  • 33
    • 0030618867 scopus 로고    scopus 로고
    • The partial duration series method in regional index-flood modeling
    • Madsen H, Rosbjerg D (1997) The partial duration series method in regional index-flood modeling. Water Resour Res 33(4):737-746
    • (1997) Water Resour Res , vol.33 , Issue.4 , pp. 737-746
    • Madsen, H.1    Rosbjerg, D.2
  • 34
    • 2942739423 scopus 로고    scopus 로고
    • Runoff generation in karst catchments: Multifractal analysis
    • Majone B, Bellin A, Borsato A (2004) Runoff generation in karst catchments: Multifractal analysis. J Hydrol 294(1-3):176-195
    • (2004) J Hydrol , vol.294 , Issue.1-3 , pp. 176-195
    • Majone, B.1    Bellin, A.2    Borsato, A.3
  • 35
    • 33646149373 scopus 로고    scopus 로고
    • The applicability of power-law frequency statistics to floods
    • Malamud BD, Turcotte DL (2006) The applicability of power-law frequency statistics to floods. J Hydrol Hydrofractals '03' 322(1-4):168-180
    • (2006) J Hydrol Hydrofractals '03' , vol.322 , Issue.1-4 , pp. 168-180
    • Malamud, B.D.1    Turcotte, D.L.2
  • 36
    • 41649116040 scopus 로고
    • Noah, Joseph, and operational hydrology
    • Mandelbrot BB, Wallis JR (1968) Noah, Joseph, and operational hydrology. Water Resour Res 4(5):909-918
    • (1968) Water Resour Res , vol.4 , Issue.5 , pp. 909-918
    • Mandelbrot, B.B.1    Wallis, J.R.2
  • 37
    • 11144292763 scopus 로고    scopus 로고
    • Flood frequency regionalisation-spatial proximity versus catchment attributes
    • Merz R, Bloschl G (2005) Flood frequency regionalisation-spatial proximity versus catchment attributes. J Hydrol 302(1-4):283-306
    • (2005) J Hydrol , vol.302 , Issue.1-4 , pp. 283-306
    • Merz, R.1    Bloschl, G.2
  • 38
    • 0027702825 scopus 로고
    • A comparison of tail probability estimators for flood frequency analysis
    • Moon YI, Lall U, Bosworth K (1993) A comparison of tail probability estimators for flood frequency analysis. J Hydrol 151(2-4):343-363
    • (1993) J Hydrol , vol.151 , Issue.2-4 , pp. 343-363
    • Moon, Y.I.1    Lall, U.2    Bosworth, K.3
  • 39
    • 0013082884 scopus 로고    scopus 로고
    • Collaboration between historians and hydrologists on the Ardèche River (France). First step: Inventory of historical flood information
    • In: Paola Albini TG, Felix France (eds) Kluwer, Dordrecht
    • Naulet R, Lang M, Coeur D, Gigon C (2001) Collaboration between historians and hydrologists on the Ardèche River (France). First step: Inventory of historical flood information. In: Paola Albini TG, Felix France (eds) Advances in natural and technological research: The use of historical data in natural hazard assessment. Kluwer, Dordrecht, pp 113-129
    • (2001) Advances in Natural and Technological Research: The Use of Historical Data in Natural Hazard Assessment , pp. 113-129
    • Naulet, R.1    Lang, M.2    Coeur, D.3    Gigon, C.4
  • 41
    • 0032504054 scopus 로고    scopus 로고
    • Multifractal analysis of daily river flows including extremes for basins of five to two million square kilometres, one day to 75 years
    • Pandey G, Lovejoy S, Schertzer D (1998) Multifractal analysis of daily river flows including extremes for basins of five to two million square kilometres, one day to 75 years. J Hydrol 208(1-2):62-81
    • (1998) J Hydrol , vol.208 , Issue.1-2 , pp. 62-81
    • Pandey, G.1    Lovejoy, S.2    Schertzer, D.3
  • 42
    • 0034941702 scopus 로고    scopus 로고
    • The estimation of extreme quantiles of wind velocity using L-moments in the peaks-over-threshold approach
    • Pandey MD, Van Gelder PHAJM, Vrijling JK (2001) The estimation of extreme quantiles of wind velocity using L-moments in the peaks-over-threshold approach. Struct Saf 23(2):179-192
    • (2001) Struct Saf , vol.23 , Issue.2 , pp. 179-192
    • Pandey, M.D.1    Van Gelder, P.H.A.J.M.2    Vrijling, J.K.3
  • 43
    • 33748031447 scopus 로고    scopus 로고
    • Use of historical data to assess the occurrence of floods in small watershed in the French Mediterranean area
    • Payrastre O, Gaume E, Andrieu H (2005) Use of historical data to assess the occurrence of floods in small watershed in the French Mediterranean area. Adv Geosci 2:313-320
    • (2005) Adv Geosci , vol.2 , pp. 313-320
    • Payrastre, O.1    Gaume, E.2    Andrieu, H.3
  • 44
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands J (1975) Statistical inference using extreme order statistics. Ann Stat 3(1):119-131
    • (1975) Ann Stat , vol.3 , Issue.1 , pp. 119-131
    • Pickands, J.1
  • 47
    • 0023483807 scopus 로고
    • Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes
    • Schertzer D, Lovejoy S (1987) Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes. J Geophys Res D8(8):9693-9714
    • (1987) J Geophys Res , vol.D8 , Issue.8 , pp. 9693-9714
    • Schertzer, D.1    Lovejoy, S.2
  • 49
    • 0000954170 scopus 로고
    • Hard and soft multifractal processes
    • Schertzer D, Lovejoy S (1992) Hard and soft multifractal processes. Physica A 185:187-194
    • (1992) Physica A , vol.185 , pp. 187-194
    • Schertzer, D.1    Lovejoy, S.2
  • 51
    • 0022716460 scopus 로고
    • Flood frequency analysis with historical and paleoflood information
    • Stedinger JR, Cohn TA (1986) Flood frequency analysis with historical and paleoflood information. Water Resour Res 22(5):785-793
    • (1986) Water Resour Res , vol.22 , Issue.5 , pp. 785-793
    • Stedinger, J.R.1    Cohn, T.A.2
  • 53
    • 0030433468 scopus 로고    scopus 로고
    • Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions
    • Tessier Y, Lovejoy S, Hubert P, Schertzer D, Pecknold S (1996) Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions. J Geophys Res Atmos 101(D21):26427-26440
    • (1996) J Geophys Res Atmos , vol.101 , Issue.D21 , pp. 26427-26440
    • Tessier, Y.1    Lovejoy, S.2    Hubert, P.3    Schertzer, D.4    Pecknold, S.5
  • 55
    • 0031194169 scopus 로고    scopus 로고
    • Using higher probability weighted moments for flood frequency analysis
    • Wang QJ (1997) Using higher probability weighted moments for flood frequency analysis. J Hydrol 194(1-4):95-106
    • (1997) J Hydrol , vol.194 , Issue.1-4 , pp. 95-106
    • Wang, Q.J.1
  • 56
    • 0001842411 scopus 로고    scopus 로고
    • Hydrological applications of extreme value analysis
    • In: Wheater H, Kirby C (eds) Wiley, Chichester
    • Willems P (1998) Hydrological applications of extreme value analysis. In: Wheater H, Kirby C (eds) Hydrology in a changing environment. Wiley, Chichester, pp 15-25
    • (1998) Hydrology in a Changing Environment , pp. 15-25
    • Willems, P.1
  • 57
    • 0034640855 scopus 로고    scopus 로고
    • Compound intensity/duration/frequency-relationships of extreme precipitation for two seasons and two storm types
    • Willems P (2000) Compound intensity/duration/frequency-relationships of extreme precipitation for two seasons and two storm types. J Hydrol 233(1-4):189-205
    • (2000) J Hydrol , vol.233 , Issue.1-4 , pp. 189-205
    • Willems, P.1


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