Analysing pairwise logratios revisited

Even though the logratio methodology provides a range of both generic, mostly exploratory, and purpose-built coordinate representations of compositional data, simple pairwise logratios are preferred by many for multivariate analysis in the geochemical practice, principally because of their simpler i...

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Autores: Hron, Karel, Coenders, Germà, Filzmoser, Peter, Palarea Albaladejo, Javier, Faměra, Martin, Grygar, Tomá Matys
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2021
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/20254
Acceso en línea:http://hdl.handle.net/10256/20254
Access Level:acceso abierto
Palabra clave:Anàlisi multivariable
Geoquímica
Multivariate analysis
Geochemistry
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spelling Analysing pairwise logratios revisitedHron, KarelCoenders, GermàFilzmoser, PeterPalarea Albaladejo, JavierFaměra, MartinGrygar, Tomá MatysAnàlisi multivariableGeoquímicaMultivariate analysisGeochemistryEven though the logratio methodology provides a range of both generic, mostly exploratory, and purpose-built coordinate representations of compositional data, simple pairwise logratios are preferred by many for multivariate analysis in the geochemical practice, principally because of their simpler interpretation. However, the logratio coordinate systems that incorporate them are predominantly oblique, resulting in both conceptual and practical problems. We propose a new approach, called backwards pivot coordinates, where each pairwise logratio is linked to one orthogonal coordinate system, and these systems are then used together to produce a concise output. In this work, principal component analysis (PCA) and regression with compositional explanatory variables are used as primary methods to demonstrate the methodological and interpretative advantages of the proposal. In the applied part of this study, sediment compositions from the Jizera River, Czech Republic, were analysed using these techniques through backwards pivot coordinates. This allowed to discuss grain size control of the element composition of sediments and clearly distinguish anthropogenically contaminated and uncontaminated strata in sediment depth profilesSpringerinfo2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionpeer-reviewed24 p.application/pdfhttp://hdl.handle.net/10256/20254© Mathematical Geosciences, 2021, vol. 53, núm. 7, p. 1643-1666Articles publicats (D-EC)Hron, Karel Coenders, Germà Filzmoser, Peter Palarea Albaladejo, Javier Fam&#283ra, Martin Grygar, Tomá Matys 2021 Analysing pairwise logratios revisited Mathematical Geosciences 53 7 1643 1666reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s11004-021-09938-winfo:eu-repo/semantics/altIdentifier/issn/1874-8961info:eu-repo/semantics/altIdentifier/eissn/1874-8953Tots els drets reservatsinfo:eu-repo/semantics/openAccessoai:recercat.cat:10256/202542026-05-29T05:05:01Z
dc.title.none.fl_str_mv Analysing pairwise logratios revisited
title Analysing pairwise logratios revisited
spellingShingle Analysing pairwise logratios revisited
Hron, Karel
Anàlisi multivariable
Geoquímica
Multivariate analysis
Geochemistry
title_short Analysing pairwise logratios revisited
title_full Analysing pairwise logratios revisited
title_fullStr Analysing pairwise logratios revisited
title_full_unstemmed Analysing pairwise logratios revisited
title_sort Analysing pairwise logratios revisited
dc.creator.none.fl_str_mv Hron, Karel
Coenders, Germà
Filzmoser, Peter
Palarea Albaladejo, Javier
Faměra, Martin
Grygar, Tomá Matys
author Hron, Karel
author_facet Hron, Karel
Coenders, Germà
Filzmoser, Peter
Palarea Albaladejo, Javier
Faměra, Martin
Grygar, Tomá Matys
author_role author
author2 Coenders, Germà
Filzmoser, Peter
Palarea Albaladejo, Javier
Faměra, Martin
Grygar, Tomá Matys
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Anàlisi multivariable
Geoquímica
Multivariate analysis
Geochemistry
topic Anàlisi multivariable
Geoquímica
Multivariate analysis
Geochemistry
description Even though the logratio methodology provides a range of both generic, mostly exploratory, and purpose-built coordinate representations of compositional data, simple pairwise logratios are preferred by many for multivariate analysis in the geochemical practice, principally because of their simpler interpretation. However, the logratio coordinate systems that incorporate them are predominantly oblique, resulting in both conceptual and practical problems. We propose a new approach, called backwards pivot coordinates, where each pairwise logratio is linked to one orthogonal coordinate system, and these systems are then used together to produce a concise output. In this work, principal component analysis (PCA) and regression with compositional explanatory variables are used as primary methods to demonstrate the methodological and interpretative advantages of the proposal. In the applied part of this study, sediment compositions from the Jizera River, Czech Republic, were analysed using these techniques through backwards pivot coordinates. This allowed to discuss grain size control of the element composition of sediments and clearly distinguish anthropogenically contaminated and uncontaminated strata in sediment depth profiles
publishDate 2021
dc.date.none.fl_str_mv 2021
info
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
peer-reviewed
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10256/20254
url http://hdl.handle.net/10256/20254
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s11004-021-09938-w
info:eu-repo/semantics/altIdentifier/issn/1874-8961
info:eu-repo/semantics/altIdentifier/eissn/1874-8953
dc.rights.none.fl_str_mv Tots els drets reservats
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Tots els drets reservats
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 24 p.
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv © Mathematical Geosciences, 2021, vol. 53, núm. 7, p. 1643-1666
Articles publicats (D-EC)
Hron, Karel Coenders, Germà Filzmoser, Peter Palarea Albaladejo, Javier Fam&#283ra, Martin Grygar, Tomá Matys 2021 Analysing pairwise logratios revisited Mathematical Geosciences 53 7 1643 1666
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.81155

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