A. Loukas, M. Llasat, U. Ulbrich, and . Preface, Extreme events induced by weather and climate change: Evaluation, forecasting and proactive planning, Nat. Hazards Earth Syst. Sci, vol.10, issue.2, p.14, 2010.

, Urban Meteorology: Forecasting, Monitoring, and Meeting Users' Need, 2012.

. Siavb.-available and . Online, , 2016.

S. Diss, J. Testud, J. Lavabre, P. Ribstein, and E. Moreau, Ability of a dual polarized X-band radar to estimate rainfall, Adv. Water Resour, vol.32, pp.975-985, 2009.

P. Tabary, A. Boumahmoud, H. Andrieu, R. J. Thompson, A. J. Illingworth et al., Evaluation of two "integrated" polarimetric Quantitative Precipitation Estimation (QPE) algorithms at C-band, J. Hydrol, vol.405, pp.248-260, 2011.

I. Emmanuel, H. Andrieu, and P. Tabary, Evaluation of the new French operational weather radar product for the field of urban hydrology, Atmos. Res, vol.103, pp.20-32, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00921582

J. Figueras-i-ventura, A. Boumahmoud, B. Fradon, P. Dupuy, and P. Tabary, Long-term monitoring of French polarimetric radar data quality and evaluation of several polarimetric quantitative precipitation estimators in ideal conditions for operational implementation at C-band. Q, J. R. Meteorol. Soc, vol.138, pp.2212-2228, 2012.

J. Figueras-i-ventura and P. Tabary, The New French Operational Polarimetric Radar Rainfall Rate Product

, J. Appl. Meteorol. Climatol, vol.52, pp.1817-1835, 2013.

P. Tabary, The new French operational radar rainfall product, Part I: Methodology. Weather Forecast, vol.22, pp.393-408, 2007.

G. J. Ciach, E. Habib, and W. F. Krajewski, Zero-covariance hypothesis in the error variance separation method of radar rainfall verification, Adv. Water Resour, vol.26, pp.573-580, 2003.

A. Gires, I. Tchiguirinskaia, D. Schertzer, A. Schellart, A. Berne et al., Influence of small scale rainfall variability on standard comparison tools between radar and rain gauge data, Atmos. Res, vol.138, pp.125-138, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00913286

J. Wyss, E. R. Williams, and R. L. Bras, Hydrologic modeling of New England river basins using radar rainfall data, J. Geophys. Res, vol.95, pp.2143-2152, 1990.

X. Sun, R. G. Mein, T. D. Keenan, and J. F. Elliot, Flood estimation using radar and raingauge data, J. Hydrol, vol.239, pp.4-18, 2000.
DOI : 10.1016/s0022-1694(00)00350-4

U. Germann, M. Berenguer, D. Sempere-torres, and M. Zappa, REAL-Ensemble radar precipitation estimation for hydrology in a mountainous region, Q. J. R. Meteorol. Soc, vol.135, pp.445-456, 2009.
DOI : 10.1002/qj.375

URL : https://rmets.onlinelibrary.wiley.com/doi/pdf/10.1002/qj.375

F. Lobligeois and . Mieux, Connaître la Distribution Spatiale des Pluies Améliore-t-il la Modélisation des Crues? Diagnostic sur 181 Bassins Versants Français, Agro ParisTech, 2014.

T. Einfalt, T. Denoeux, and G. Jacquet, A radar rainfall forecasting method designed for hydrological purposes, J. Hydrol, vol.114, pp.229-244, 1990.
DOI : 10.1016/0022-1694(90)90058-6

URL : https://hal.archives-ouvertes.fr/hal-00779578

B. E. Vieux and P. B. Bedient, Assessing urban hydrologic prediction accuracy through event reconstruction, J. Hydrol, vol.299, pp.217-236, 2004.

T. Einfalt, K. Arnbjerg-nielsen, C. Golz, N. Jensen, M. Quirmbach et al., Towards a roadmap for use of radar rainfall data in urban drainage, J. Hydrol, vol.299, pp.186-202, 2004.

M. Berenguer, C. Corral, R. Sánchez-diezma, and D. Sempere-torres, Hydrological Validation of a Radar-Based Nowcasting Technique, J. Hydrometeorol, vol.6, pp.532-549, 2005.

S. Liguori, M. A. Rico-ramirez, A. N. Schellart, and A. J. Saul, Using probabilistic radar rainfall nowcasts and NWP forecasts for flow prediction in urban catchments, Atmos. Res, vol.103, pp.80-95, 2012.
DOI : 10.1016/j.atmosres.2011.05.004

A. Ichiba, X-band Radar Data and Predictive Management in Urban Hydrology, 2016.
URL : https://hal.archives-ouvertes.fr/tel-01437464

N. Peleg, F. Blumensaat, P. Molnar, S. Fatichi, and P. Burlando, Partitioning the impacts of spatial and climatological rainfall variability in urban drainage modeling, Hydrol. Earth Syst. Sci, vol.21, pp.1559-1572, 2017.

W. Schilling, Rainfall data for urban hydrology: What do we need?, Atmos. Res, vol.27, pp.5-21, 1991.

G. Aronica and M. Cannarozzo, Studying the hydrological response of urban catchments using a semi-distributed linear non-linear model, J. Hydrol, vol.238, pp.35-43, 2000.

A. Berne, G. Delrieu, J. Creutin, and C. Obled, Temporal and spatial resolution of rainfall measurements required for urban hydrology, J. Hydrol, vol.299, pp.166-179, 2004.

M. L. Segond, N. Neokleous, C. Makropoulos, C. Onof, and ?. Maksimovi´cmaksimovi´c, Simulation and spatio-temporal disaggregation of multi-site rainfall data for urban drainage applications, Hydrol. Sci. J, vol.52, pp.917-935, 2007.

A. N. Schellart, W. J. Shepherd, and A. J. Saul, Influence of rainfall estimation error and spatial variability on sewer flow prediction at a small urban scale, Adv. Water Resour, vol.45, pp.65-75, 2012.

A. Gires, C. Onof, ?. C. Maksimovi´cmaksimovi´c, D. Schertzer, I. Tchiguirinskaia et al., Quantifying the impact of small scale unmeasured rainfall variability on urban runoff through multifractal downscaling: A case study
URL : https://hal.archives-ouvertes.fr/hal-00786098

J. Hydrol, , vol.442, pp.117-128, 2012.

S. Ochoa-rodriguez, L. Wang, A. Gires, R. D. Pina, R. Reinoso-rondinel et al., Impact of spatial and temporal resolution of rainfall inputs on urban hydrodynamic modeling outputs: A multi-catchment investigation, J. Hydrol, vol.531, pp.389-407, 2015.

N. E. Simões, S. Ochoa-rodriguez, L. Wang, R. D. Pina, A. S. Marques et al., Stochastic Urban Pluvial Flood Hazard Maps Based upon a Spatial-Temporal Rainfall Generator, vol.7, pp.3396-3406, 2015.

A. Gires, A. Giangola-murzyn, J. Abbes, I. Tchiguirinskaia, D. Schertzer et al., Impacts of small scale rainfall variability in urban areas: A case study with 1D and 1D/2D hydrological models in a multifractal framework, Urban Water J, vol.12, pp.607-617, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01238347

E. El-tabach, I. Tchiguirinskaia, O. Mahmood, D. Schertzer, E. Multi-hydro-;-pascheet et al., A spatially distributed numerical model to assess and manage runoff processes in peri-urban watersheds, Proceedings of the Final Conference of the COST Action, vol.22, pp.26-27, 2009.

T. J. Fewtrell, A. Duncan, C. C. Sampson, J. C. Neal, and P. D. Bates, Benchmarking urban flood models of varying complexity and scale using high resolution terrestrial LiDAR data, Phys. Chem. Earth, pp.281-291, 2011.

A. Giangola-murzyn, A. Gires, C. T. Hoang, I. Tchiguirinskaia, and D. Schertzer, Multi-Hydro modelling to assess flood resilience across scales, case study in the Paris region, Proceedings of the 9th International Conference on Urban Drainage Modelling, pp.4-7, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00805957

Y. Tramblay, C. Bouvier, A. Crespy, and A. Marchandise, Improvement of flash flood modelling using spatial patterns of rainfall: A case study in southern France, Proceedings of the Sixth World FRIEND Conference, p.340, 2010.

R. Project, Available online: www.raingain.eu (accessed on 21, 2016.

D. Schertzer, I. Tchiguirinskaia, S. Lovejoy, and P. Hubert, No monsters, no miracles: In nonlinear sciences hydrology is not an outlier! Hydrol, Sci. J, vol.55, pp.965-979, 2010.
DOI : 10.1080/02626667.2010.505173

R. Hydrographique, , 2015.

A. Gires, I. Tchiguirinskaia, and D. Schertzer, Multifractal comparison of the outputs of two optical disdrometers, Hydrol. Sci. J, vol.61, pp.1641-1651, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01707378

J. S. Marshall and W. M. Palmer, The distribution of raindrop with size, J. Meteorol, vol.5, pp.165-166, 1948.

J. Parent-du-châtelet, L. Aramis, and . Réseau, Français de radars pour la surveillance des précipitations, La Météorologie, vol.40, pp.44-52, 2003.

J. J. Gourley, P. Tabary, and J. Parent-du-chatelet, A fuzzy logic algorithm for the separation of precipitating from nonprecipitating echoes using polarimetric radar observations, J. Atmos. Ocean. Technol, vol.24, pp.1439-1451, 2007.

. Selex, Selex METEOR manual

E. S. Selex and . Gmbh, , 2015.

R. A. Fulton, J. P. Bredienbach, D. Seo, D. A. Miller, and T. .;-o'bannon, The WSR-88 rainfall algorithm. Weather Forecast, vol.13, pp.377-395, 1998.
DOI : 10.1175/1520-0434(1998)013<0377:twra>2.0.co;2

S. Y. Matrosov, K. A. Clark, B. E. Martner, and A. Tokay, X-Band Polarimetric Radar Measurements of Rainfall
DOI : 10.1175/1520-0450(2002)041<0941:xbprmo>2.0.co;2

, J. Appl. Meteorol, vol.41, pp.941-952, 2002.

W. Software, InfoWorks CS Help Documentation, 2009.

D. L. Clarke, Analytical Archaeology, 1968.

D. Schertzer and S. Lovejoy, Physical modeling and Analysis of Rain and Clouds by Anisotropic Scaling Multiplicative Processes, J. Geophys. Res, vol.92, pp.9693-9714, 1987.

V. K. Gupta and E. Waymire, A Statistical Analysis of Mesoscale Rainfall as a Random Cascade, J. Appl. Meteorol, vol.32, pp.251-267, 1993.

D. Harris, M. Menabde, A. Seed, and G. Austin, Multifractal characterization of rain fields with a strong orographic influence, J. Geophys. Res, vol.101, pp.26405-26414, 1996.

D. Marsan, D. Schertzer, and S. Lovejoy, Causal space-time multifractal processes: Predictability and forecasting of rain fields, J. Geophys. Res, vol.101, pp.26333-26346, 1996.

J. Olsson and J. Niemczynowicz, Multifractal analysis of daily spatial rainfall distributions, J. Hydrol, vol.187, pp.29-43, 1996.

M. I. De-lima and J. Grasman, Multifractal analysis of 15-min and daily rainfall from a semi-arid region in Portugal, J. Hydrol, vol.220, pp.1-11, 1999.

R. Deidda, Rainfall downscaling in a space-time multifractal framework, Water Resour. Res, vol.36, pp.1779-1794, 2000.
DOI : 10.1029/2000wr900038

URL : https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2000WR900038

A. Pathirana and S. Herath, Multifractal modeling and simulation of rain fields exhibiting spatial heterogeneity, Hydrol. Earth Syst. Sci, vol.6, pp.695-708, 2002.
DOI : 10.5194/hess-6-695-2002

URL : https://www.hydrol-earth-syst-sci.net/6/695/2002/hess-6-695-2002.pdf

A. Biaou, P. Hubert, D. Schertzer, I. Tchiguirinskaia, and H. Bendjoudi, Fractals, multifractals et prévision des précipitations, Sud Sci. Technol, vol.10, pp.10-15, 2003.

A. Pathirana, S. Herath, and T. Yamada, On the modeling of temporal correlations in spatial-cascade rainfall downscaling, Weather Radar Information and Distributed Hydrological Modeling, vol.282, pp.74-82, 2003.

L. Ferraris, S. Gabellani, U. Parodi, N. Rebora, J. Von-hardenberg et al., Revisiting multifractality in rainfall fields, J. Hydrometeorol, vol.4, pp.544-551, 2003.
DOI : 10.1175/1525-7541(2003)004<0544:rmirf>2.0.co;2

L. Ferraris, S. Gabellani, N. Rebora, and A. Provenzale, A comparison of stochastic models for spatial rainfall downscaling, Water Resour. Res, vol.39, pp.1368-1384, 2003.

J. Macor, D. Schertzer, and S. Lovejoy, Multifractal Methods Applied to Rain Forecast Using Radar Data. La Houille Blanche, vol.4, pp.92-98, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00711615

J. F. Royer, A. Biaou, F. Chauvin, D. Schertzer, and S. Lovejoy, Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario, C. R. Geosci, vol.340, pp.431-440, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00711599

D. K. Nykanen, Linkages between Orographic Forcing and the Scaling Properties of Convective Rainfall in Mountainous Regions, J. Hydrometeorol, vol.9, pp.327-347, 2008.

L. De-montera, L. Barthes, C. Mallet, and P. Gole, The effect of rain-no rain intermittency on the estimation of the universal multifractals model parameters, J. Hydrometeorol, vol.10, pp.493-506, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00400833

A. Langousis, D. Veneziano, P. Furcolo, and C. Lepore, Multifractal rainfall extremes: Theoretical analysis and practical estimation, Chaos Solitons Fractals, vol.39, pp.1182-1194, 2009.
DOI : 10.1016/j.chaos.2007.06.004

I. Tchiguirinskaia, D. Schertzer, C. Hoang, and S. Lovejoy, Multifractal study of three storms with different dynamics over the Paris region, Proceedings of the Weather Radar and Hydrology, pp.18-21, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00758471

J. Moore, S. Cole, and A. Illingworth, , vol.351, pp.421-426, 2011.

C. Hoang, I. Tchiguirinskaia, D. Schertzer, and S. Lovejoy, Caractéristiques multifractales et extrêmes de la précipitation à haute resolution, application à la détection du changement climatique, J. Water Sci, vol.27, pp.205-216, 2014.
DOI : 10.7202/1027806ar

URL : http://www.erudit.org/fr/revues/rseau/2014-v27-n3-rseau01631/1027806ar.pdf

D. Schertzer and S. Lovejoy, Universal Multifractals do Exist! J. Appl. Meteorol, vol.36, pp.1296-1303, 1997.

D. Schertzer and S. Lovejoy, Multifractals, generalized scale invariance and complexity in geophysics, Int. J. Bifurcat. Chaos, vol.21, pp.3417-3456, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00697559

D. Lavallée, S. Lovejoy, and P. Ladoy, Nonlinear variability and landscape topography: Analysis and simulation, In Fractals in Geography

L. De-cola and N. Lam, , pp.171-205, 1993.

C. T. Hoang, Prise en Compte des Fluctuations Spatio-Temporelles Pluies-Débits Pour une Meilleure Gestion de la Ressource en eau et une Meilleure Évaluation des Risques, 2011.

F. Hittinger, Intercomparaison des incertitudes dans l'Analyse de Fréquence de Crues classique et l'Analyse Multifractale de Fréquence de Crues, 2008.

C. T. Hoang, Analyse fréquentielle classique et multifractale des 10 séries pluviométriques à haute résolution, 2008.

A. Gires, I. Tchiguirinskaia, D. Schertzer, and S. Lovejoy, Influence of the zero-rainfall on the assessment of the multifractal parameters, Adv. Water Resour, vol.45, pp.13-25, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00786091

B. Sevruk and W. R. Hamon, International Comparison of National Precipitation Gauges with a Reference Pit Gauge, Secretariat of the World Meteorological Organization, 1984.

R. Fankhauser, Influence of systematic errors from tipping bucket rain gauges on recorded rainfall data, Water Sci. Technol, vol.37, pp.121-129, 1998.

E. Habib, W. Krajewski, and A. Kruger, Sampling errors of Tipping-Bucket rain gauge measurements, J. Hydrol. Eng, vol.6, pp.159-166, 2001.

G. J. Ciach, Local random errors in Tipping-Bucket rain gauge measurements, J. Atmos. Ocean. Technol, vol.20, pp.752-759, 2003.

T. Einfalt, M. Jessen, and B. Mehlig, Comparison of radar and raingauge measurements during heavy rainfall, Water Sci. Technol, vol.51, pp.195-201, 2005.

M. Gabella, F. Orione, M. Zambotto, S. Turso, R. Fabbo et al., A Portable Low Cost X-band RADAR for Rainfall Estimation in Alpine Valleys, FORALPS Technical Report, pp.1-52, 2008.

M. Allegretti, S. Bertoldo, A. Prato, C. Lucianaz, O. Rorato et al., Mini Radar for Observing and Monitoring Rainfall Events, Atmos. Clim. Sci, vol.2, pp.290-297, 2012.

M. Borup, M. Grum, J. J. Linde, and P. S. Mikkelsen, Dynamic gauge adjustment of high-resolution X-band radar data for convective rain storms: Model-based evaluation against measured combined sewer overflow

J. Hydrol, , vol.539, pp.687-699, 2016.

V. N. Bringi and V. Chandrasekar, Polarimetric Doppler Weather Radar: Principles and Applications, 2001.

M. N. Anagnostou, J. Kalogiros, E. N. Anagnostou, M. Tarolli, A. Papadopoulos et al., Performance evaluation of high resolution rainfall estimation by X-band dual-polarization radar for flash flood applications in mountainous basins, J. Hydrol, vol.394, pp.4-16, 2010.

T. Otto, H. W. Russchenberg, and H. Leijnse, Advances in polarimetric X-band weather radar, Proceedings of the 9th European Radar Conference, 2012.

T. Otto and H. W. Russchenberg, High-resolution polarimetric X-band weather radar observations at the Cabauw Experimental Site for Atmospheric Research, Geosci. Data J, vol.1, pp.7-12, 2014.

V. Chandrasekar, L. Baldini, N. Bharadwaj, and P. L. Smith, Calibration procedures for global precipitation-measurement ground-validation radars, URSI Radio Sci. Bull, vol.88, pp.45-73, 2015.

D. Silva-rocha-paz, I. Ichiba, A. Skouri-plakali, I. Lee, J. Gires et al., Challenges with space-time rainfall in urban hydrology highlighted with a semi-distributed model using C-band and X-band radar data, EGU General Assembly, pp.2017-327, 2017.