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Modélisation de processus géostatistiques sur des arbres : application aux réseaux de drainage

Abstract : This paper shows that geostatistical modelling can be extended to spatial supports such as directed trees and applied to variables spatially structured along a river network. Specific assumptions were necessary and main methods were redefined introducing modifications on metrics, proper variogram estimates and ad hoc drift models. We also proposed a model-based simulation procedure to generate random functions on directed trees. A case study on fluvisol delineation for the He´rault river (South of France) was analyzed. Clear spatial structures were observed and modelled using variogram based on upstream downstream distance along a hydrographic network. A drift was also modelled as a multiplicative term affecting the fluvisol width versus the cumulated length of the upstream network. The significance of the drift was then assessed conditionally to the former spatial variogram using Monte-Carlo simulations of the spatial observed process on the river network.
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  • HAL Id : hal-02589109, version 1
  • IRSTEA : PUB00021693

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Pascal Monestiez, Jean-Stéphane Bailly, Philippe Lagacherie, Marc Voltz. Modélisation de processus géostatistiques sur des arbres : application aux réseaux de drainage. Pedometrics 2003, Reading, UK, 11-12 September 2003, 2003, pp.2. ⟨hal-02589109⟩

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