Comparing fractal indices of electric networks to roads and buildings: The case of Grenoble (France)

Yousra Sidqi (1) , Isabelle Thomas (2) , Pierre Frankhauser (3) , Nicolas Retière (1)

1 G2ELab - Laboratoire de Génie Electrique de Grenoble
2 CORE - Center of Operation Research and Econometrics [Louvain]
3 ThéMA - Théoriser et modéliser pour aménager (UMR 6049)

We compare the fractal indices of the power grid of the city of Grenoble (France) to those computed on the spatial organization of the buildings and the road infrastructure. We assess the fractal dimensions and the curves of scaling behavior and conduct a concordance analysis. We study different districts within the city and compare the power and road networks with the built-up patterns. We show the importance of using carefully data sets from different sources and how it could sometimes make major differences ahead of further use. We conclude on the optimality of the spatial coverage of the distribution network in Grenoble.

Mots clés: Fractals; Power grids; Data cleaning; Grenoble -- France

Domaines: Géographie

Yousra Sidqi, Isabelle Thomas, Pierre Frankhauser, Nicolas Retière. Comparing fractal indices of electric networks to roads and buildings: The case of Grenoble (France). Physica A: Statistical Mechanics and its Applications, 2019, 531, pp.121774. ⟨10.1016/j.physa.2019.121774⟩. ⟨hal-02187654⟩