Fractal analysis of urban catchments and their representation in semi-distributed models: imperviousness and sewer system
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Published version
Author(s)
Type
Journal Article
Abstract
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 2m × 2m 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 imperviousness in operational semi-distributed hydrological models for these catchments was also investigated by computing fractal 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.
Date Issued
2017-05-08
Date Acceptance
2017-03-31
Citation
Hydrology and Earth System Sciences, 2017, 21 (5), pp.2361-2375
ISSN
1027-5606
Publisher
Copernicus Publications
Start Page
2361
End Page
2375
Journal / Book Title
Hydrology and Earth System Sciences
Volume
21
Issue
5
Copyright Statement
© 2017 Author(s). This work is distributed under
the Creative Commons Attribution 3.0 License (https://creativecommons.org/licenses/by/3.0/).
the Creative Commons Attribution 3.0 License (https://creativecommons.org/licenses/by/3.0/).
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000400918000001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Geosciences, Multidisciplinary
Water Resources
Geology
GENERALIZED SCALE-INVARIANCE
RIVER NETWORKS
LAND-USE
MULTIFRACTAL ANALYSIS
RESOLUTION
RAIN
AREA
DIMENSIONS
PLATEAU
IMPACT
Publication Status
Published
Date Publish Online
2017-05-08