Revisiting multifractality in rainfall fields

Journal of Hydrometeorology

Volumn 4, Issue 3, 2003, Pages 544-551

  Ferraris, L ^a   Gabellani, S ^a   Parodi, U ^a   Rebora, N ^a   Von Hardenberg, J ^a   Provenzale, A ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL ANALYSIS; HYDROMETEOROLOGY; MODELING; RAINFALL;

EID: 0041846642     PISSN: 1525755X     EISSN: None     Source Type: Journal    
DOI: 10.1175/1525-7541(2003)004<0544:RMIRF>2.0.CO;2     Document Type: Article

References (29)

1. Balmforth, N. J., A. Provenzale, E. A. Spiegel, M. Martens, C. Tresser, and C. W. Wu, 1999: Red spectra from white and blue noise. Proc. Roy. Soc. London, 266B, 311-315.
2. Bouchaud, J.-P., M. Potters, and M. Meyer, 2000: Apparent multifractality in financial time series. Eur. Phys. J., 13B, 595-599.
3. Deidda, R., 2000: Rainfall downscaling in a space-time multifractal framework. Water Resour. Res., 36, 1779-1794.
4. Deidda, R., R. Benzi, and F. Siccardi, 1999: Multifractal modeling of anomalous scaling laws in rainfall. Water Resour. Res., 35, 1853-1867.
5. Frisch, U., 1995: Turbulence. Cambridge University Press, 310 pp.
6. Guillot, G., and T. Lebel, 1999: Disaggregation of Sahelian mesoscale convective system rain fields: Further developments and validation. J. Geophys. Res., 104, 31 533-31 551.
7. Gupta, V. K., and E. C. Waymire, 1990: Multiscaling properties of spatial rainfall and river flow distributions. J. Geophys. Res., 95, 1999-2009.
8. Gupta, V. K., and E. C. Waymire, 1993: A statistical analysis of mesoscale rainfall as a random cascade. J. Appl. Meteor., 32, 251-267.
9. Hentschel, H. G. E., and I. Procaccia, 1983: The infinite number of generalized dimensions of fractals and strange attractors. Physica D, 8, 435-444.
10. Kantz, H., and T. Schreiber, 1995: Nonlinear Time Series Analysis. Cambridge University Press, 320 pp.
11. Kolmogorov, A. N., 1962: A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech., 13, 82-85.
12. Kumar, P., and E. Foufoula-Georgiou, 1993: A multicomponent decomposition of spatial rainfall fields. 2. Self-similarity in fluctuations. Water Resour. Res., 29, 2533-2544.
13. Lovejoy, S., and B. B. Mandelbrot, 1985: Fractal properties of rain and a fractal model. Tellus, 37A, 209-232.
14. Mandelbrot, B. B., 1982: The Fractal Geometry of Nature. Freeman. 468 pp.
15. Marsan, D., D. Schertzer, and S. Lovejoy, 1996: Causal space-time multifractal processes: Predictability and forecasting of rain fields. J. Geophys. Res., 101 (D21), 26 333-26 346.
16. Over, T. M., and V. K. Gupta, 1996: A space-time theory of mesoscale rainfall using random cascades. J. Geophys. Res., 101 (D21), 26 319-26 331.
17. Paladin, G., and A. Vulpiani, 1987: Anomalous scaling laws in multifractal objects. Phys. Rep., 156, 147-225.
18. Parisi, G., and U. Frisch, 1985: On the singularity structure of fully developed turbulence. Turbulence and Predictability in Geophysical Fluid Dynamics, M. Ghil, R. Benzi, and G. Parisi, Eds., North Holland, 84-88.
19. Perica, S., and E. Foufoula-Georgiou, 1996: Model for multiscale disaggregation of spatial rainfall based on coupling meteorological and scaling descriptions. J. Geophys. Res., 101 (D21), 26 347-26 361.
20. Provenzale, A., P. Galeotti, G. Murante, and B. Villone, 1992a: A simple multifractal model of nonlinear gravitational clustering. Astrophys. J., 401, 455-460.
21. Provenzale, A., L. A. Smith, R. Vio, and G. Murante, 1992b: Distinguishing between low-dimensional dynamics and randomness in measured time series. Physica D, 58, 31-49.
22. Sapozhnikov, V., and E. Foufoula-Georgiou, 1997: Experimental evidence of dynamic scaling and indications of self-organized criticality in braided rivers. Water Resour. Res., 33, 1983-1991.
23. Schertzer, D., and S. Lovejoy, 1987: Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes. J. Geophys. Res., 92, 9693-9714.
24. Schreiber, T., and A. Schmitz, 1996: Improved surrogate data for nonlinearity tests. Phys. Rev. Lett., 77, 635-638.
25. Theiler, J., S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer, 1992: Testing for nonlinearity in time series: The method of surrogate data. Physica D. 58, 77-94.
26. Tong, H., 1990: Non-linear Time Series. Oxford University Press, 580 pp.
27. Toniolo, C., A. Provenzale, and E. A. Spiegel, 2002: Signature of on-off intermittency in measured signals. Phys. Rev. E, 66, 066208.
28. Vio, R., S. Cristiani, O. Lessi, and A. Provenzale, 1992: Time series analysis in astronomy: An application to quasar variability studies. Astrophys. J., 391, 518-530.
29. von Hardenberg, J., R. Thieberger, and A. Provenzale, 2000: A box-counting red herring. Phys. Lett., 269A, 303-308.