Geostatistical analysis of functional compositions: Characterization of soil particle-size curves through the Aitchison geometry

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Abstract

We focus on the geostatistical characterization of the spatial distribution of soil particlesize curves (PSCs) within an alluvial aquifer. We consider as data object the entire PSC with a Compositional Data Analysis (CoDa) approach. Data are viewed as a point in the infinite-dimensional Hilbert space of functional compositions. The latter is endowed with the Aitchison geometry and enables us to derive a Functional Compositional Kriging (FCK) predictor. We demonstrate the methodology on a set of PSCs observed within an alluvial aquifer in the Neckar river valley in Germany.

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Menafoglio, A., Guadagnini, A., & Secchi, P. (2014). Geostatistical analysis of functional compositions: Characterization of soil particle-size curves through the Aitchison geometry. In Proceedings of the 16th International Association for Mathematical Geosciences - Geostatistical and Geospatial Approaches for the Characterization of Natural Resources in the Environment: Challenges, Processes and Strategies, IAMG 2014 (pp. 38–40). Capital Publishing Company. https://doi.org/10.1007/978-3-319-18663-4_11

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