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Spatial analysis of compositional data: A historical review

Like the statistical analysis of compositional data in general, spatial analysis of compositional data requires specific tools. A historical overview of their development is presented in three steps: (a) the recognition of the problem, known as spurious spatial covariance, (b) first attempts to use the logratio approach, and (c) the application of the principle of working in coordinates using isometric logratio representations. Also mentioned are the use of matrix-valued variation-variograms as a tool to model crossvariograms, and the simplicial approach to indicator kriging, that solves inconsistencies in the standard approach to indicator kriging

This research has been supported by the SpanishMinistry of Education and Science under project ‘METRICS’ (Ref. MTM2012-33236); and from the Agència de Gestió d’Ajuts Universitaris i de Recerca of the Generalitat de Catalunya under the project Ref. 2009SGR424

Elsevier

Author: Pawlowsky-Glahn, Vera
Egozcue, Juan José
Abstract: Like the statistical analysis of compositional data in general, spatial analysis of compositional data requires specific tools. A historical overview of their development is presented in three steps: (a) the recognition of the problem, known as spurious spatial covariance, (b) first attempts to use the logratio approach, and (c) the application of the principle of working in coordinates using isometric logratio representations. Also mentioned are the use of matrix-valued variation-variograms as a tool to model crossvariograms, and the simplicial approach to indicator kriging, that solves inconsistencies in the standard approach to indicator kriging
This research has been supported by the SpanishMinistry of Education and Science under project ‘METRICS’ (Ref. MTM2012-33236); and from the Agència de Gestió d’Ajuts Universitaris i de Recerca of the Generalitat de Catalunya under the project Ref. 2009SGR424
Document access: http://hdl.handle.net/2072/266691
Language: eng
Publisher: Elsevier
Rights: Tots els drets reservats
Subject: Anàlisi multivariable
Multivariate analysis
Correlació (Estadística)
Correlation (Statistics)
Anàlisi espacial (Estadística)
Spatial analysis (Statistics)
Title: Spatial analysis of compositional data: A historical review
Type: info:eu-repo/semantics/article
Repository: Recercat

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