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Geostatistical modelling of spatial processes on directed trees: Application to fluvisol extent

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 Hérault river (South of France) was analyzed. Clear spatial structures were observed and modelled using variogram based on upstreamdownstream 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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https://hal.inrae.fr/hal-02588090
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Submitted on : Friday, May 15, 2020 - 12:27:53 PM
Last modification on : Friday, April 16, 2021 - 3:29:23 AM

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Pascal Monestiez, Jean-Stéphane Bailly, Philippe Lagacherie. Geostatistical modelling of spatial processes on directed trees: Application to fluvisol extent. Geoderma, Elsevier, 2005, 128 (3-4), pp.179-191. ⟨10.1016/j.geoderma.2005.04.002⟩. ⟨hal-02588090⟩

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