Fractal analysis of urban catchments and their representation in semi-distributed models: imperviousness and sewer system

Other literature type, Article English OPEN
Gires , Auguste ; Tchiguirinskaia , Ioulia ; Schertzer , D ; Ochoa-Rodriguez , S. ; Willems , P. ; Ichiba , Abdellah ; Wang , Li-Pen ; Pina , Rui ; Van Assel , Johan ; Bruni , Guendalina ; Murla Tuyls , Damian ; ten Veldhuis , Marie-Claire (2017)
  • Publisher: European Geosciences Union
  • Journal: (issn: 1607-7938, eissn: 1607-7938)
  • Related identifiers: doi: 10.5194/hess-21-2361-2017, doi: 10.5194/hess-2016-527
  • Subject: Fractal analysis | Sewer system | [ SDU.STU.HY ] Sciences of the Universe [physics]/Earth Sciences/Hydrology | [ SDE.IE ] Environmental Sciences/Environmental Engineering | Urban drainage

International audience; Fractal analysis relies on scale invariance and the concept of fractal dimension enables one to characterize and quantify the space filled by a geometrical set exhibiting complex and tortuous patterns. Fractal tools have been widely used in hydrology but seldom in the specific context of urban hydrology. In this paper, fractal tools are used to analyse surface and sewer data from 10 urban or peri-urban catchments located in five European countries. The aim was to characterize urban catchment properties accounting for the complexity and inhomogeneity typical of urban water systems. Sewer system density and imperviousness (roads or buildings), represented in rasterized maps of 2 m × 2 m pixels, were analysed to quantify their fractal dimension, characteristic of scaling invariance. The results showed that both sewer density and imperviousness exhibit scale-invariant features and can be characterized with the help of fractal dimensions ranging from 1.6 to 2, depending on the catchment. In a given area consistent results were found for the two geometrical features, yielding a robust and innovative way of quantifying the level of urbanization. The representation of impervious-ness in operational semi-distributed hydrological models for these catchments was also investigated by computing frac-tal dimensions of the geometrical sets made up of the sub-catchments with coefficients of imperviousness greater than a range of thresholds. It enables one to quantify how well spatial structures of imperviousness were represented in the urban hydrological models.
  • References (42)
    42 references, page 1 of 5

    Bendjoudi, H. and Hubert, P.: Le coefficient de compacite de Gravelius: analyse critique d'un indice de forme des bassins versants, Hydrological Sciences Journal-Journal Des Sciences Hydrologiques, 47, 921-930, 2002.

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

    Chen, L., Wang, J., Fu, F., and Qiu, Y.: Land-use change in a small catchment of northern Loess Plateau, China. Agriculture, Ecosyst. Environ., 86, 163-172, doi:10.1016/S0167- 8809(00)00271-1, 2001.

    Darrel, J. and Wu, J.: Analysis and simulation of land-use change in the central Arizona - Phoenix region, USA, Land. Ecol., 16, doi:10.1023/A:1013170528551, 2001.

    De Bartolo, S. G., Gaudio, R., and Gabriele, S.: Multifractal analysis of river networks: Sandbox approach, Water Resour. Res., 40, W02201, doi:10.1029/2003WR002760, 2004.

    De Bartolo, S. G., Primavera, L., Gaudio, R., D'Ippolito, A., and Veltri, M.: Fixed-mass multifractal analysis of river networks and braided channels, Phys. Rev. E, 74, doi:10.1103/PhysRevE.74.026101, 2006.

    Foufoula-Georgiou, E. and Sapozhnikov, V.: Scale invariances in the morphology and evolution of braided rivers, Math. Geol., 33, 273-291, doi:10.1023/A:1007682005786, 2001.

    Gangodagamage, C., Belmont, P., and Foufoula-Georgiou, E.: Revisiting scaling laws in river basins: new considerations across hillslope and fluvial regimes, Water Resour. Res., 47, W07508, doi:10.1029/2010WR009252, 2011.

    Gangodagamage, C., Foufoula-Georgiou, E., and Belmont, P.: River basin organization around the mainstem: scale invariance in tributary branching and the incremental area function, J. Geophys. Res.-Earth Surf., 119, 2174-2193, doi:10.1002/2014JF003304, 2014.

    Gires, A., Tchiguirinskaia, I., Schertzer, D., and Lovejoy, S.: Multifractal analysis of an urban hydrological model on a Seine-SaintDenis study case, Urban Water J., 10, 195-208, 2012.

  • Related Research Results (3)
  • Metrics
    No metrics available
Share - Bookmark