Multifractal analysis of a semi-distributed urban hydrological model

Urban Water Journal

Volumn 10, Issue 3, 2013, Pages 195-208

  Gires, A ^a   Tchiguirinskaia, I ^a   Schertzer, D ^a   Lovejoy, S ^b  

^a UNIVERSITÉ PARIS EST   (France)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

multifractals; rainfall variability; spatio temporal downscaling; urban hydrology

Indexed keywords

DOWNSCALING; DRAINAGE; FRACTAL ANALYSIS; HYDROLOGICAL MODELING; RADAR IMAGERY; RAINFALL; SENSITIVITY ANALYSIS; SPATIOTEMPORAL ANALYSIS; URBAN AREA;

FRANCE; ILE DE FRANCE; SEINE-SAINT DENIS;

EID: 84879162117     PISSN: 1573062X     EISSN: 17449006     Source Type: Journal    
DOI: 10.1080/1573062X.2012.716447     Document Type: Article

References (41)

1. Allison. 2005. Manuel d'utilisation de canoe, Conception et évaluation de réseaux d'assainissement, Simulation de pluies, des écoulements et de qualité des eaux, INSA Lyon, SOGREAH Consultants, 476 p. Available from:. www.canoe-hydro.com [Accessed 7 September 2012]
2. Andrieu, H. and Jacquet, G. 1987. Le radar météorologique de Trappes et l'estimation des intensités pluvieuses en Seine-Saint-Denis. Intérêt pour la gestion des réseaux d'assainissement. La Houille Blanche, 6 (Sept): 447 - 457.
3. Aronica, G. and Cannarozzo, M. 2000. Studying the hydrological response of urban catchments using a semi-distributed linear non-linear model. Journal of Hydrology, 238: 35 - 43.
4. Biaou, A. 2003. Fractals, multifractals et prévision des précipitations. Sud Sciences et Technologies, 10: 10 - 15.
5. Browne, O. Un système d'aide à la décision pour la conduite du réseau d'assainissement de Seine-Saint-Denis. Proceedings of the Novatech'98 conference. May 1998, Lyon, France 4-6.
6. CEC (Council of the European Communities). 2000. Directive of establishing a framework for community action in the field of water policy EC Directive No. 2000/60/EEC of 23 October 2000
7. Deidda, R. 2000. Rainfall downscaling in a space-time multifractal framework. Water Resource Research, 36: 1779 - 1794.
8. Douglas, E. and Barros, A. 2003. Probable maximum precipitation estimation using multifractals: application in the Eastern United States. Journal of Hydrometeorology, 4: 1012 - 1024.
9. El Tabach, E. Multi-Hydro: a spatially distributed numerical model to assess and manage runoff processes in peri-urban watersheds. Proceedings Final conference of the COST Action C22 Urban Flood Management. November 2011 26-27.
10. Gires, A. 2011a. Analyses multifractales et spatio-temporelles des précipitations du modèle Méso-NH et des données radar. Hydrological Science Journal, 56 (3): 380 - 396.
11. Gires, A. 2011b. Impact de la variabilité non-mesurée des precipitations en hydrologie urbaine: Un cas d'étude dans le cadre multifractal. La houille Blanche, 4: 37 - 42.
12. Gires, A. 2012a. Quantifying the impact of small scale unmeasured rainfall variability on urban hydrology through multifractal downscaling: a case study. Journal of Hydrology, 442-443: 117 - 128.
13. Gires, A. 2012b. Influence of the zero-rainfall on the assessment of the multifractal parameters. Advances in Water Resources, 45, 13-25
14. Hubert, P. and Carbonnel, J.P. 1988. Caractérisation fractale de la variabilité et de l'anisotropie des précipitations tropicales. Comptes rendus de l'Académie des Sciences, 2: 909 - 914.
15. Hubert, P. 1993. Multifractals and extreme rainfall events. Geophysics Letters, 20: 931 - 934.
16. Hubert, P., Friggit, F., and Carbonnel, J.P. 1995. " Multifractal structure of rainfall occurrence in west Africa ". In New uncertainty concepts in hydrology and water resources, Edited by: Kundzewicz, Z.W. 109 - 113. Cambridge: Cambridge University Press.
17. Instruction Technique. 1977. Instruction technique relative aux réseaux d'assainissement des agglomérations, Imprimerie nationale. République Française, Circulaire interministérielle n° 77.284/INT, juin 1977
18. Labat, D., Mangin, A., and Ababou, R. 2002. Rainfall-runoff relations for karstic springs: multifractal analyses. Journal of Hydrology, 256: 176 - 195.
19. Lavallée, D., Lovejoy, S., and Ladoy, P. 1993. " Nonlinear variability and landscape topography: analysis and simulation ". In Fractals in geography, Edited by: De Cola, L. and Lam, N. 158 - 192. New York: Prentice-Hall.
20. Lovejoy, S., Schertzer, D., and Tsonis, A.A. 1987. Function box-counting and multiple elliptical dimension in rain. Science, 235 (4792): 1036 - 1038.
21. Lovejoy, S. and Schertzer, D. 2007. " Scale, scaling and multifractals in geophysics: twenty years on ". In Nonlinear dynamics in Geosciences, Edited by: Tsonis, A.A. and Elsner, J. 311 - 337. New York: Springer.
22. Maksimović, Č. 2009. Overland flow and pathway analysis for modelling of urban pluvial flooding. Journal of Hydraulic Research, 47 (4): 512 - 523.
23. Marsan, D., Schertzer, D., and Lovejoy, S. 1996. Causal space-time multifractal processes: Predictability and forecasting of rain fields. Journal of Geophysical Research, 101: 26333 - 26346.
24. Olsson, J., Niemczynowicz, J., and Berndtsson, R. 1993. Fractal analysis of high-resolution rainfall time series. Journal of Geophysical Research, 98: 23265 - 23274.
25. Pecknold, S. 1993. " The simulation of universal multifractals ". In Cellular Automata: Prospects in astrophysical applications, Edited by: Perdang, J.M. and Lejeune, A. 228 - 267. River Edge, NJ: World Scientific.
26. Pandey, G., Lovejoy, S., and Schertzer, D. 1998. Multifractal analysis including extremes of daily river flow series for basins one to a million square kilometres. Journal of Hydrology, 208 (1-2): 62 - 81.
27. Pléau, M. 2005. Global optimal real-time control of the Quebec urban drainage system. Environmental Modelling & Software, 20: 401 - 413.
28. Roux, C. 1996. Analyse des précipitations en hydrologie urbaine. Exemple de la Seine-Saint-Denis, 290 Marne-la-Vallée, France: Ecole des Ponts ParisTech. Thesis (PhD)
29. Royer, J.F. 2008. Multifractal analysis of the evolution of simulated precipitation over France in a climate scenario. C.R. Geoscience, 340: 431 - 440.
30. Sarkis, B. 2008. Etude multi-échelle des réseaux d'assainissement, Ecole des Ponts ParisTech. Thesis (MSc)
31. Schertzer, D. and Lovejoy, S. 1987. Physical modelling and analysis of rain and clouds by anisotropic scaling and multiplicative processes. Journal of Geophysical Research, 92 (D8): 9693 - 9714.
32. Schertzer, D. and Lovejoy, S. 1997. Universal multifractals do exist!: Comments. Journal of Applied Meteorology, 36 (9): 1296 - 1303.
33. Schertzer, D. 2006. Extrêmes et multifractals en hydrologie: Résultats, validations et perspectives. La Houille Blanche, 5: 112 - 119.
34. Schütze, M. 2004. Real time control of urban wastewater systems-where do we stand today?. Journal of Hydrology, 299: 335 - 348.
35. Segond, M.-L., Wheater, H.S., and Onof, C. 2007. The significance of small-scale spatial rainfall variability on runoff modeling. Journal of Hydrology, 173: 309 - 326.
36. Tabary, P. 2007. The new French operational radar rainfall product. Part I: Methodology. Weather Forecasting, 22: 393 - 408.
37. Tabary, P. 2007. The new French operational radar rainfall product. Part II: Validation. Weather Forecasting, 22: 409 - 427.
38. Takayasu, H. 1990. Fractals in the physical sciences, Manchester: Manchester University Press.
39. Tchinguirinskaia, I. Multifractal study of three storms with different dynamics over the Paris region. J. Moore et al., eds.Weather radar and hydrology. Wallingford, UK: IAHS Press Publ. 351, 421-426.
40. Tchiguirinskaia, I. Potential of multifractal modelling of ungauged basins. PUB Kick-Off Meeting. Edited by: Schertzer, D. pp. 298 - 308. Wallingford, UK: IAHS Press.
41. Tessier, Y. 1996. Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions. Journal of Geophysical Research, 101 (D21): 26427 - 26440.