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Le traitement des variables régionalisées en écologie : apports de la géomatique et de la géostatistique

Abstract : Processing ecological regionalised variables without taking their spatial properties into account raises a number of problems. To address these problems, we develop geomatical methods based on computerized procedures, and geostatistical methods based on the theory of random functions. After introducing fundamentals of geomatics and geostatistics and clarifying the specific nature of spatial autocorrelation, we introduce design-based and model-based inferences. We use random functions to study sampling efficiency, to optimize predictors and compute prediction intervals. We propose a procedure to optimize distance classes when computing semivariograms. We also examine the use of semivariogram integral and justify semivariogram modelling by using weighted least squares fitting. We discuss semivariogram accuracy under design-based and model-based inferences, and we clarify the meaning of jackknifing. The optimization of sampling from a finite population in order to estimate the spatial mean or the semivariogram is examined using several combinatorial heuristics and simulations of random functions. The problem of testing correlation or association between two regionalised variables is studied, using again simulations of random functions. Several methods are reviewed and we recommend tests which explicitly take spatial autocorrelation into account. In the frame of spatial association between regionalised variables, we propose a hybrid method using quadtrees and an editing distance between recursive rooted trees. Finally, we study measures of spatial complexity, criticize fractal analysis and propose alternative methods such as a measure of topological complexity for isolines maps.
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https://tel.archives-ouvertes.fr/tel-00003736
Contributor : Philippe Aubry <>
Submitted on : Sunday, November 9, 2003 - 9:22:41 PM
Last modification on : Friday, October 23, 2020 - 4:52:06 PM
Long-term archiving on: : Wednesday, September 12, 2012 - 11:30:10 AM

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  • HAL Id : tel-00003736, version 1

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Philippe Aubry. Le traitement des variables régionalisées en écologie : apports de la géomatique et de la géostatistique. Ecologie, Environnement. Université Claude Bernard - Lyon I, 2000. Français. ⟨tel-00003736⟩

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