V. Lac, J. Ducroq, J. Veisseire, . Parent, and . Châtelet, Jean-François Royer pour leurs suggestions dans l

H. Bendjoudi, P. Hubert, D. Schertzer, and S. Lovejoy, Interprétation multifractale des courbes intensité-durée-fréquence des précipitations, Multifractal point of view on rainfall intensity-duration-frequency curves, Comptes Rendus de l'Académie des Sciences -Series IIA -Earth and Planetary Science, pp.323-326, 1997.

A. Biaou, F. Chauvin, J. Royer, and D. R. Schertzer, Analyse multifractale des précipitations dans un scénario GIEC du CNRM Rainfall downscaling in a space-time multifractal framework, Note de centre GMGEC, CNRM, 101, 45 pp Deidda, pp.1779-1794, 2000.

N. Desaulnier-soucy, S. Lovejoy, and D. Schertzer, The continuum limit in rain and the HYDROP experiment, J. Atm. Res, pp.59-60, 2001.

D. Lima, M. I. Grasman, and J. , Multifractal analysis of 15-min and daily rainfall from a semi-arid region in Portugal, Journal of Hydrology, vol.220, issue.1-2, pp.1-11, 1999.
DOI : 10.1016/S0022-1694(99)00053-0

V. K. Gupta and E. Waymire, A Statistical Analysis of Mesoscale Rainfall as a Random Cascade, Journal of Applied Meteorology, vol.32, issue.2, pp.251-267, 1993.
DOI : 10.1175/1520-0450(1993)032<0251:ASAOMR>2.0.CO;2

D. Harris, M. Menabde, A. Seed, and G. Austin, Multifractal characterization of rain fields with a strong orographic influence, Journal of Geophysical Research: Atmospheres, vol.32, issue.1, pp.26405-26414, 1996.
DOI : 10.1029/96JD01656

P. Hubert and J. P. , Caractérisation fractale de la variabilité et de l'anisotropie des précipitations tropicales, C. R. Acad. Sci. Paris, vol.2, pp.909-914, 1988.

P. Hubert, Y. Tessier, P. Ladoy, S. Lovejoy, D. Schertzer et al., Multifractals and extreme rainfall events, Multifractals and extreme rainfall events, pp.931-934, 1993.
DOI : 10.1029/93GL01245

B. Keddem and L. S. Chiu, Are rain rate processes self-similar?, Water Resources Research, vol.21, issue.10, pp.1816-1818, 1987.
DOI : 10.1029/WR023i010p01816

B. R. Kerman, A multifractal equivalent of the Beaufort scale for sea-state, Geophysical Research Letters, vol.92, issue.2, pp.297-300, 1993.
DOI : 10.1029/93GL00049

A. N. Kolmogorov, A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number, Journal of Fluid Mechanics, vol.30, issue.01, 1962.
DOI : 10.1017/S0022112062000518

J. Lafore, J. Stein, N. Asencio, P. Bougeault, V. Ducrocq et al., The Meso-NH Atmospheric Simulation System. Part I: adiabatic formulation and control simulations. Scientific objectives and experimental design, pp.90-109, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00329074

D. Lavallée, Multifractal techniques: analysis and simulation of turbulent fields, 1991.

D. Lavallée, S. Lovejoy, and P. Ladoy, Nonlinear variability and landscape topography: analysis and simulation, Fractas in geography, L. De Cola et N. Lam (éditeurs), pp.171-205, 1991.

D. Lavallée, D. Schertzer, and S. Lovejoy, On the determination of the codimension function, Non-linear variability in geophysics, pp.99-110, 1991.

D. Lavallée, S. Lovejoy, D. Schertzer, and P. Ladoy, Nonlinear variability and Landscape topography: analysis and simulation, Fractals in Geography, pp.158-192, 1993.

A. Lazarev, D. Schertzer, S. Lovejoy, and Y. Chigirinskaya, Unified multifractal atmospheric dynamics tested in the tropics: part II, vertical scaling and generalized scale invariance, Nonlinear Processes in Geophysics, vol.1, issue.2/3, pp.115-123, 1994.
DOI : 10.5194/npg-1-115-1994

URL : https://hal.archives-ouvertes.fr/hal-00331028

L. Bouar, E. Testud, J. Keenan, and T. D. , Validation of the Rain Profiling Algorithm ???ZPHI??? from the C-Band Polarimetric Weather Radar in Darwin, Journal of Atmospheric and Oceanic Technology, vol.18, issue.11, pp.1819-1837, 2001.
DOI : 10.1175/1520-0426(2001)018<1819:VOTRPA>2.0.CO;2

S. Lovejoy and B. B. Mandelbrot, Fractal properties of rain, and a fractal model, Tellus A, vol.12, issue.3, pp.209-232, 1985.
DOI : 10.1111/j.1600-0870.1985.tb00423.x

S. Lovejoy, D. Schertzer, and A. A. Tsonis, Functional Box-Counting and Multiple Elliptical Dimensions in Rain, Science, vol.235, issue.4792, pp.1036-1038, 1987.
DOI : 10.1126/science.235.4792.1036

S. Lovejoy and D. Schertzer, Comment on ???Are rain rate processes self-similar???? by B. Kedem and L. S. Chiu, Water Resources Research, vol.1, issue.3, pp.577-579, 1989.
DOI : 10.1029/WR025i003p00577

S. Lovejoy, M. R. Duncan, and D. Schertzer, Scalar multifractal radar observer's problem, Journal of Geophysical Research: Atmospheres, vol.31, issue.2, pp.26479-26492, 1996.
DOI : 10.1029/96JD02208

S. Lovejoy, D. Schertzer, and V. Allaire, The remarkable wide range spatial scaling of TRMM precipitation, Atmospheric Research, vol.90, issue.1, pp.10-32, 2008.
DOI : 10.1016/j.atmosres.2008.02.016

URL : https://hal.archives-ouvertes.fr/hal-00711539

A. Macor, Développement de techniques de prévision de pluie basées sur les propriétés multi-échelles des données radar et satellites, Thèse de doctorat, 2007.

B. Mandelbrot, Fractal geometry: what is it and what does it do? in Fractals in the Natural Sciences, pp.3-16, 1989.

D. Marsan, D. Schertzer, and S. Lovejoy, Causal space-time multifractal processes: Predictability and forecasting of rain fields, Journal of Geophysical Research: Atmospheres, vol.2, issue.2, pp.333-326, 1996.
DOI : 10.1029/96JD01840

J. S. Marshall and W. M. Palmer, THE DISTRIBUTION OF RAINDROPS WITH SIZE, Journal of Meteorology, vol.5, issue.4, pp.165-166, 1948.
DOI : 10.1175/1520-0469(1948)005<0165:TDORWS>2.0.CO;2

D. K. Nykanen, Linkages between Orographic Forcing and the Scaling Properties of Convective Rainfall in Mountainous Regions, Journal of Hydrometeorology, vol.9, issue.3, pp.327-347, 2008.
DOI : 10.1175/2007JHM839.1

J. Olsson and J. Niemczynowicz, Multifractal analysis of daily spatial rainfall distributions, Journal of Hydrology, vol.187, issue.1-2, pp.29-43, 1996.
DOI : 10.1016/S0022-1694(96)03085-5

J. Olsson, J. Niemczynowicz, and R. Berndtsson, Fractal analysis of high-resolution rainfall time series, Journal of Geophysical Research, vol.92, issue.A, pp.23265-23274, 1993.
DOI : 10.1029/93JD02658

G. Parisi and U. Frish, A multifractal model of intermittency, dans Turbulence and predictability in geophysical fluid dynamics, pp.111-114, 1985.

A. Radkevich, S. Lovejoy, K. Strawbridge, D. Schertzer, and M. Lilley, Scaling turbulent atmospheric stratification, Part III: Space-time stratification of passive scalars from lidar data, Quart. J. Roy. Meteor. Soc, vol.134, pp.316-335, 2008.

I. Rodriguez-iturbe, V. K. Gupta, and E. Waymire, Scale considerations in the modeling of temporal rainfall, Water Resources Research, vol.17, issue.5, pp.1611-1619, 1984.
DOI : 10.1029/WR020i011p01611

J. F. Royer, A. Biaou, F. Chauvin, . Schertzer, and S. Lovejoy, Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario, Comptes Rendus Geoscience, vol.340, issue.7, pp.431-440, 2008.
DOI : 10.1016/j.crte.2008.05.002

URL : https://hal.archives-ouvertes.fr/hal-00711599

D. Schertzer and S. Lovejoy, Physical modelling and analysis of rain and clouds by anisotropic scaling and multiplicative processes, J. Geophys. Res, issue.D8, pp.92-9693, 1987.

D. Schertzer and S. Lovejoy, Singularités anisotropes, divergences des moments en turbulence: invariance d'échelle généralisée et processus multiplicatifs, Ann. Sci. Math. Que, vol.11, issue.1, pp.139-181, 1987.

D. Schertzer and S. Lovejoy, Nolinear variability in geophysics multifractal analysis and simulations, dans Fractals Physical Origin and properties, 1989.

D. Schertzer and S. Lovejoy, Hard and soft multifractal processes, Physica A: Statistical Mechanics and its Applications, vol.185, issue.1-4, pp.1-4, 1992.
DOI : 10.1016/0378-4371(92)90455-Y

D. Schertzer, I. Tchiguirinskaia, S. Lovejoy, P. Hubert, H. Bendjoudi et al., DISCUSSION of ???Evidence of chaos in the rainfall-runoff process??? Which chaos in the rainfall-runoff process?, Hydrological Sciences Journal, vol.60, issue.1, pp.139-148, 2002.
DOI : 10.1080/02626660109492805

F. Schmitt, D. Lavallée, D. Schertzer, and S. Lovejoy, Empirical determination of universal multifractal exponents in turbulent velocity fields, Physical Review Letters, vol.68, issue.3, pp.305-308, 1992.
DOI : 10.1103/PhysRevLett.68.305

S. Solomon, D. Qin, M. Manning, Z. Chen, M. Marquis et al., Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, p.pp, 2007.

J. Stolle, S. Lovejoy, and D. Schertzer, The stochastic multiplicative cascade structure of deterministic numerical models of the atmosphere, Nonlinear Processes in Geophysics, vol.16, issue.5, pp.1-15, 2009.
DOI : 10.5194/npg-16-607-2009

URL : https://hal.archives-ouvertes.fr/hal-00711509

Y. Tessier, S. Lovejoy, and D. Schertzer, Universal Multifractals: Theory and Observations for Rain and Clouds, Journal of Applied Meteorology, vol.32, issue.2, pp.223-250, 1993.
DOI : 10.1175/1520-0450(1993)032<0223:UMTAOF>2.0.CO;2