Dimensions fractales de réseaux vectoriels : Méthodes d'estimation et robustesse des résultats

Thommeret, N. ; Bailly, J.S. ; Bardet, J.M. ; Kaiser, B. ; Puech, C.

Type de document
Article de revue scientifique à comité de lecture
Langue
Français
Affiliation de l'auteur
LABORATOIRE DE GEOGRAPHIE PHYSIQUE UMR 8591 UNIVERSITE PARIS I CNRS FRA ; SUPAGRO MONTPELLIER UMR LISAH MONTPELLIER FRA ; UNIVERSITE PARIS 1 PANTHEON SORBONNE LABORATOIRE SAMM FRA ; UNIVERSITE PARIS 1 PANTHEO SORBONNE LABORATOIRE DE GEOGRAPHIE PHYSIQUE UMR 8591 FRA ; IRSTEA MONTPELLIER UMR TETIS FRA
Année
2014
Résumé / Abstract
Streams networks are part of transport networks and more generally of spatial networks that gave rise to fundamental researchs (Barthelemy, 2011) and applied geography (Strano et al., 2012). Numerous studies hav e focused on fractal analy sis of stream networks. However, only few papers compare or discuss the estimation methods and the uncertainty of the main fractal indicator, the fractal dimension. This work focuses on the fractal properties of v ector networks both v irtual and actual. We first mention the essential distinction between infinite mathematical fractal and nature fractal. Then, we present different theoretical and empirical dimensions that we use. In particular, we compare three fractal dimension estimators: the most classical estimator for stream networks, based on a topological approach with the Horton-Strahler ratios, and two other estimators based on a geometric approach, the box-counting dimension and the correlation dimension. Three main methodological results can be highlighted: 1- the study of v irtual network contributes to the assessment of the v arious estimators relev ance, according to the characteristics of networks; 2- an empirical fractal domain must be determined with an objectiv e method to estimate fractal dimensions that can be compared; 3- the observation of uncertainty and stability of the fractal dimension is necessary for any valid comparison. © CNRS-UMR Géographie-cités 8504.
Source
CyberGeo, vol. 2014, 83 p.

puce  Accés à la notice sur le site Irstea Publications / Display bibliographic record on Irstea Publications website

  Texte intégral / Full text

  Liste complète des notices de CemOA