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Volumn 45, Issue , 2012, Pages 13-25

Influence of the zero-rainfall on the assessment of the multifractal parameters

Author keywords

Multifractal phase transition; Multifractals; Scale invariance; Truncated fields; Zero rainfall

Indexed keywords

HEAVY RAINFALL; HIGH RESOLUTION; MULTI FRACTALS; MULTIFRACTAL PARAMETERS; MULTIFRACTALITY; RADAR DATA; RAINFALL DATA; SCALE INVARIANCE; SCALING ANALYSIS; TRUNCATED FIELDS; ZERO VALUES;

EID: 84864332854     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2012.03.026     Document Type: Article
Times cited : (29)

References (43)
  • 1
    • 0023483807 scopus 로고
    • Physical modelling and analysis of rain and clouds by anisotropic scaling and multiplicative processes
    • Schertzer D., Lovejoy S. Physical modelling and analysis of rain and clouds by anisotropic scaling and multiplicative processes. J Geophys Res 1987, 92(D8):9693-9714.
    • (1987) J Geophys Res , vol.92 , Issue.D8 , pp. 9693-9714
    • Schertzer, D.1    Lovejoy, S.2
  • 2
    • 0010498709 scopus 로고
    • Singularités anisotropes, divergences des moments en turbulence: invariance d'échelle généralisée et processus multiplicatifs
    • Schertzer D., Lovejoy S. Singularités anisotropes, divergences des moments en turbulence: invariance d'échelle généralisée et processus multiplicatifs. Ann Sci Math Que 1987, 11(1):139-181.
    • (1987) Ann Sci Math Que , vol.11 , Issue.1 , pp. 139-181
    • Schertzer, D.1    Lovejoy, S.2
  • 3
    • 0027456173 scopus 로고
    • A statistical analysis of mesoscale rainfall as a random cascade
    • Gupta V.K., Waymire E. A statistical analysis of mesoscale rainfall as a random cascade. J Appl Meteorol 1993, 32:251-267.
    • (1993) J Appl Meteorol , vol.32 , pp. 251-267
    • Gupta, V.K.1    Waymire, E.2
  • 4
    • 0033836682 scopus 로고    scopus 로고
    • Rainfall downscaling in a space-time multifractal framework
    • Deidda R. Rainfall downscaling in a space-time multifractal framework. Water Resour Res 2000, 36:1779-1794.
    • (2000) Water Resour Res , vol.36 , pp. 1779-1794
    • Deidda, R.1
  • 5
    • 78649725318 scopus 로고    scopus 로고
    • No monsters, no miracles: in nonlinear sciences hydrology is not an outlier!
    • Schertzer D., Tchiguirinskaia I., Lovejoy S., Hubert P. No monsters, no miracles: in nonlinear sciences hydrology is not an outlier!. Hydrol Sci J 2010, 55(6):965-979.
    • (2010) Hydrol Sci J , vol.55 , Issue.6 , pp. 965-979
    • Schertzer, D.1    Tchiguirinskaia, I.2    Lovejoy, S.3    Hubert, P.4
  • 6
    • 0002183461 scopus 로고
    • The influence on the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval
    • Yaglom A.M. The influence on the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval. Sov Phys Dokl 1966, 2:26-30.
    • (1966) Sov Phys Dokl , vol.2 , pp. 26-30
    • Yaglom, A.M.1
  • 7
    • 0015969022 scopus 로고
    • Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
    • Mandelbrot B. Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. J Fluid Mech 1974, 62:331-350.
    • (1974) J Fluid Mech , vol.62 , pp. 331-350
    • Mandelbrot, B.1
  • 9
    • 0030422569 scopus 로고    scopus 로고
    • Causal space-time multifractal processes: predictability and forecasting of rain fields
    • 333, 326, 346
    • Marsan D., Schertzer D., Lovejoy S. Causal space-time multifractal processes: predictability and forecasting of rain fields. J Geophys Res 1996, 101(26). 333, 326, 346.
    • (1996) J Geophys Res , vol.101 , Issue.26
    • Marsan, D.1    Schertzer, D.2    Lovejoy, S.3
  • 10
    • 0030300852 scopus 로고    scopus 로고
    • Multifractal analysis of daily spatial rainfall distributions
    • Olsson J., Niemczynowicz J. Multifractal analysis of daily spatial rainfall distributions. J Hydrol 1996, 187:29-43.
    • (1996) J Hydrol , vol.187 , pp. 29-43
    • Olsson, J.1    Niemczynowicz, J.2
  • 11
  • 12
    • 0345280765 scopus 로고    scopus 로고
    • Multifractal analysis of 15-min and daily rainfall from a semi-arid region in Portugal
    • de Lima M.I.P., Grasman J. Multifractal analysis of 15-min and daily rainfall from a semi-arid region in Portugal. J Hydrol 1999, 220:1-11.
    • (1999) J Hydrol , vol.220 , pp. 1-11
    • de Lima, M.I.P.1    Grasman, J.2
  • 13
  • 14
    • 34547668397 scopus 로고    scopus 로고
    • Scaling and multifractal fields in the solid earth and topography
    • Lovejoy S., Schertzer D. Scaling and multifractal fields in the solid earth and topography. Nonlinear Process Geophys 2007, 14:465-502.
    • (2007) Nonlinear Process Geophys , vol.14 , pp. 465-502
    • Lovejoy, S.1    Schertzer, D.2
  • 15
    • 58049085668 scopus 로고    scopus 로고
    • Linkages between orographic forcing and the scaling properties of convective rainfall in mountainous regions
    • Nykanen D.K. Linkages between orographic forcing and the scaling properties of convective rainfall in mountainous regions. J Hydrometeorol 2008, 9:327-347.
    • (2008) J Hydrometeorol , vol.9 , pp. 327-347
    • Nykanen, D.K.1
  • 16
    • 48049089377 scopus 로고    scopus 로고
    • Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario
    • Royer J.F., Biaou A., Chauvin F., Schertzer D., Lovejoy S. Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario. CR Geosci 2008, 340:431-440.
    • (2008) CR Geosci , vol.340 , pp. 431-440
    • Royer, J.F.1    Biaou, A.2    Chauvin, F.3    Schertzer, D.4    Lovejoy, S.5
  • 17
    • 0030433468 scopus 로고    scopus 로고
    • Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions
    • 427, 426, 440
    • Tessier Y., Lovejoy S., Hubert P., Schertzer D., Pecknold S. Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions. J Geophy Res 1996, 31D(26). 427, 426, 440.
    • (1996) J Geophy Res , vol.31 D , Issue.26
    • Tessier, Y.1    Lovejoy, S.2    Hubert, P.3    Schertzer, D.4    Pecknold, S.5
  • 18
    • 3743149200 scopus 로고
    • Observer problems in multifractals: the example of rain
    • M.Sc. Thesis. Montreal, Canada: McGill University
    • Larnder C. Observer problems in multifractals: the example of rain. M.Sc. Thesis. Montreal, Canada: McGill University; 1995.
    • (1995)
    • Larnder, C.1
  • 19
    • 67649511999 scopus 로고    scopus 로고
    • The effect of rain-no rain intermittency on the estimation of the universal multifractals model parameters
    • de Montera L., Barthes L., Mallet C., Gole P. The effect of rain-no rain intermittency on the estimation of the universal multifractals model parameters. J Hydrometeorol 2009, 10(2):493-506.
    • (2009) J Hydrometeorol , vol.10 , Issue.2 , pp. 493-506
    • de Montera, L.1    Barthes, L.2    Mallet, C.3    Gole, P.4
  • 20
    • 84864350199 scopus 로고    scopus 로고
    • WMO, Guide to meteorological instruments and methods of observations, WMO-No. 8, 7th ed
    • WMO, Guide to meteorological instruments and methods of observations, WMO-No. 8, 7th ed. 2008.
    • (2008)
  • 24
    • 84889693136 scopus 로고    scopus 로고
    • On the simulation of continuous in scale universal multifractals, part I: spatially continuous processes
    • Comput Geosci; in press.
    • Lovejoy S, Schertzer D. On the simulation of continuous in scale universal multifractals, part I: spatially continuous processes. Comput Geosci; in press. http://dx.doi.org/10.1142/50218127411030647.
    • Lovejoy, S.1    Schertzer, D.2
  • 25
    • 84856726831 scopus 로고    scopus 로고
    • Multifractals, generalized scale invariance and complexity in geophysics
    • Schertzer D., Lovejoy S. Multifractals, generalized scale invariance and complexity in geophysics. J Bifurcat Chaos 2011, 21:3417-3456.
    • (2011) J Bifurcat Chaos , vol.21 , pp. 3417-3456
    • Schertzer, D.1    Lovejoy, S.2
  • 26
    • 0346372923 scopus 로고
    • The infinite number of generalized dimensions of fractals and strange attractors
    • Hentschel H.E., Proccacia I. The infinite number of generalized dimensions of fractals and strange attractors. Physica 1983, 8D:435-444.
    • (1983) Physica , vol.8 D , pp. 435-444
    • Hentschel, H.E.1    Proccacia, I.2
  • 27
    • 0000377404 scopus 로고
    • Functional box-counting and multiple elliptical dimensions in rain
    • Lovejoy S., Schertzer D., Tsonis A.A. Functional box-counting and multiple elliptical dimensions in rain. Science 1987, 235:1036-1038.
    • (1987) Science , vol.235 , pp. 1036-1038
    • Lovejoy, S.1    Schertzer, D.2    Tsonis, A.A.3
  • 28
    • 0024225082 scopus 로고
    • Caractérisation fractale de la variabilité et de l'anisotropie des précipitations tropicales
    • Hubert P., Carbonnel J.P. Caractérisation fractale de la variabilité et de l'anisotropie des précipitations tropicales. CR Acad Sci Paris 1988, 2:909-914.
    • (1988) CR Acad Sci Paris , vol.2 , pp. 909-914
    • Hubert, P.1    Carbonnel, J.P.2
  • 30
    • 84889753660 scopus 로고    scopus 로고
    • Intercomparaison des incertitudes dans l'Analyse de Fréquence de Crues classique et l'Analyse Mutlifractale de Fréquence de Crues
    • ENSHMG. Grenoble: Institut National Polytechnique de Grenoble. Ing. Dipl.
    • Hittinger F. Intercomparaison des incertitudes dans l'Analyse de Fréquence de Crues classique et l'Analyse Mutlifractale de Fréquence de Crues. ENSHMG. Grenoble: Institut National Polytechnique de Grenoble. Ing. Dipl.; 1997. p. 35.
    • (1997) , pp. 35
    • Hittinger, F.1
  • 31
    • 79956297162 scopus 로고    scopus 로고
    • Analyses multifractales et spatio-temporelles des précipitations du modèle Méso-NH et des données radar
    • Gires A., Tchiguirinskaia I., Schertzer D., Lovejoy S. Analyses multifractales et spatio-temporelles des précipitations du modèle Méso-NH et des données radar. Hydrol Sci J 2010, 56(3):380-396.
    • (2010) Hydrol Sci J , vol.56 , Issue.3 , pp. 380-396
    • Gires, A.1    Tchiguirinskaia, I.2    Schertzer, D.3    Lovejoy, S.4
  • 32
    • 0000954170 scopus 로고
    • Hard and Soft Multifractal processes
    • Schertzer D., Lovejoy S. Hard and Soft Multifractal processes. Physica A 1992, 185(1-4):187-194.
    • (1992) Physica A , vol.185 , Issue.1-4 , pp. 187-194
    • Schertzer, D.1    Lovejoy, S.2
  • 33
    • 0002558516 scopus 로고
    • Nonlinear variability in geophysics: multifractal analysis and simulations
    • Plenum Press, New York, Pietronero (Ed.)
    • Schertzer D., Lovejoy S. Nonlinear variability in geophysics: multifractal analysis and simulations. Fractals: their physical origins and properties 1989, 49-79. Plenum Press, New York. Pietronero (Ed.).
    • (1989) Fractals: their physical origins and properties , pp. 49-79
    • Schertzer, D.1    Lovejoy, S.2
  • 35
    • 0842291532 scopus 로고    scopus 로고
    • Probable maximum precipitation estimation using multifractals: application in the eastern United States
    • Douglas E., Barros A. Probable maximum precipitation estimation using multifractals: application in the eastern United States. J Hydrometeorol 2003, 4:1012-1024.
    • (2003) J Hydrometeorol , vol.4 , pp. 1012-1024
    • Douglas, E.1    Barros, A.2
  • 36
    • 0001972688 scopus 로고
    • Nonlinear variability and landscape topography: analysis and simulation
    • Prentice-Hall, New-York, L. de Colas, N. Lam (Eds.)
    • Lavallée D., Lovejoy S., Ladoy P. Nonlinear variability and landscape topography: analysis and simulation. Fractas in geography 1993, 171-205. Prentice-Hall, New-York. L. de Colas, N. Lam (Eds.).
    • (1993) Fractas in geography , pp. 171-205
    • Lavallée, D.1    Lovejoy, S.2    Ladoy, P.3
  • 37
    • 79956318837 scopus 로고    scopus 로고
    • Evolution du réseau radar opérationnel de Météo-France pour une meilleure estimation des lames d'eau
    • Parent du Châtelet J., Tabary P., Lamargue P. Evolution du réseau radar opérationnel de Météo-France pour une meilleure estimation des lames d'eau. Hydrologie Continentale 2005, 49.
    • (2005) Hydrologie Continentale , pp. 49
    • Parent du Châtelet, J.1    Tabary, P.2    Lamargue, P.3
  • 38
    • 0001256212 scopus 로고
    • The distribution of raindrops with size
    • Marshall J.S., Palmer W.M. The distribution of raindrops with size. J Meteorol 1948, 5:165-166.
    • (1948) J Meteorol , vol.5 , pp. 165-166
    • Marshall, J.S.1    Palmer, W.M.2
  • 39
    • 0027526811 scopus 로고
    • Universal multifractals: theory and observations for rain and clouds
    • Tessier Y., Lovejoy S., Schertzer D. Universal multifractals: theory and observations for rain and clouds. J Appl Meteorol 1993, 32(2):223-250.
    • (1993) J Appl Meteorol , vol.32 , Issue.2 , pp. 223-250
    • Tessier, Y.1    Lovejoy, S.2    Schertzer, D.3
  • 40
    • 1642380726 scopus 로고    scopus 로고
    • Estimating rainfall distributions at high temporal resolutions using a multifractal model
    • Pathirana A., Herath S., Yamada T. Estimating rainfall distributions at high temporal resolutions using a multifractal model. Hydrol Earth Syst Sci 2003, 7(5):668-679.
    • (2003) Hydrol Earth Syst Sci , vol.7 , Issue.5 , pp. 668-679
    • Pathirana, A.1    Herath, S.2    Yamada, T.3
  • 41
    • 44349087295 scopus 로고    scopus 로고
    • The remarkable wide range spatial scaling of TRMM precipitation
    • Lovejoy S., Schertzer D., Allaire V. The remarkable wide range spatial scaling of TRMM precipitation. J Atmos Res 2008, 90:10-32.
    • (2008) J Atmos Res , vol.90 , pp. 10-32
    • Lovejoy, S.1    Schertzer, D.2    Allaire, V.3
  • 42
    • 0030435624 scopus 로고    scopus 로고
    • A space-time theory of mesoscale rainfall using random cascades
    • Over T.M., Gupta V.K. A space-time theory of mesoscale rainfall using random cascades. J Geophys Res 1996, 101(D21):26319-26331.
    • (1996) J Geophys Res , vol.101 , Issue.D21 , pp. 26319-26331
    • Over, T.M.1    Gupta, V.K.2
  • 43
    • 0011568704 scopus 로고    scopus 로고
    • Modeling of rainfall time series using two-state renewal processes and multifractals
    • Schmitt F., Vannitsem S., Barbosa A. Modeling of rainfall time series using two-state renewal processes and multifractals. J Geophys Res 1998, 103(D18):23181-23193.
    • (1998) J Geophys Res , vol.103 , Issue.D18 , pp. 23181-23193
    • Schmitt, F.1    Vannitsem, S.2    Barbosa, A.3


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