Modèles géostatistiques de concentrations ou de débits le long des cours d'eau |
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| Authors: | Chantal de Fouquet Caroline Bernard-Michel |
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| Institution: | Centre de géostatistique, École des mines de Paris, 35, rue Saint-Honoré, 77305 Fontainebleau, France |
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| Abstract: | Estimating concentrations or flow rates along a stream network requires specific models. Two classes of models, recently proposed in the literature, are generalized, to the intrinsic case in particular. We present a global construction by ‘streams’, i.e. on the whole set of paths between sources and outlet. Combining stationary or intrinsic one-dimensional random functions leads to stationary or intrinsic models on segments, with discontinuities at the forks. A construction from outlet to sources, leads to stationary or intrinsic models on each stream, without any discontinuity at the forks. The linear variogram is found as a particular case. The extension to the linear model of coregionalization is immediate, allowing a multivariate modelling of concentrations. To cite this article: C. de Fouquet, C. Bernard-Michel, C. R. Geoscience 338 (2006). |
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| Keywords: | Géostatistique Support arborescent Réseau hydrographique Concentrations Débits Fonction aléatoire Geostatistics Tree graph Stream network Concentrations Rate of flow Random function |
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