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Compositional Data Analysis in the Geosciences: From Theory to Practice

Product Code: SP264
Series: GSL Special Publications
Author/Editor: Edited by A Buccianti, G Mateu-Figueras and V Pawlowsky-Glahn
Publication Date: 16 October 2006
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Description

Since Karl Pearson wrote his paper on spurious correlation in 1897, a lot has been said about the statistical analysis of compositional data, mainly by geologists such as Felix Chayes. The solution appeared in the 1980s, when John Aitchison proposed to use logratios. Since then, the approach has seen a great expansion, mainly building on the idea of the ‘natural geometry’ of the sample space. Statistics is expected to give sense to our perception of the natural scale of the data, and this is made possible for compositional data using logratios. This publication will be a milestone in this process.

 

This book will be of interest to geologists using statistical methods. It includes the intuitive justification of the methodology, convincing through case studies and presenting user-friendly software, which includes a section for those who need to see the proof of the mathematical consistency of the methods used.

 

Type: Book
Ten Digit ISBN: 1-86239-205-6
Thirteen Digit ISBN: 978-1-86239-205-2
Publisher: GSL
Binding: Hardback
Pages: 224
Weight: 0.83 kg

Contents

Compositional data and their analysis: an introduction, V Pawlowsky-Glahn and J J Egozcue • Applications to the solution of real geological problems • Major-oxide compositional discrimination in Cenozoic volcanites of Hungary, L Ó Kovács, G P Kovács, J A Martín-Fernández and C Barceló-Vidal • Log-ratios and geochemical discrimination of Scottish Dalradian limestones: a case study, C W Thomas and J Aitchison • Discriminating geodynamical regimes of tin ore formation using trace element composition of cassiterite: the Sikhote'Alin case (Far Eastern Russia), N Gorelikova, R Tolosana-Delgado, V Pawlowsky-Glahn, A Khanchuk and V  Gonevchuk • On stability of compositional canonical variate vector components, R A Reyment • Compositional changes in a fumarolic field, Vulcano Island, Italy: a statistical case study, A Buccianti, F Tassi and O Vaselli • Ternary sandstone composition and provenance: an evaluation of the 'Dickinson model', G J Weltje • Software and related issues • Detailed guide of CoDaPack: a freeware compositional software, S Thió-Henestrosa and J A Martín-Fernández • Compositional data analysis with 'R' and the package 'compositions', K G van der Boogaart and R Tolosana-Delgado • Visualization of three- and four- part (sub)compositions with 'R', M Bren and V Batagelj • General theory and methods • Simplicial geometry for compositional data, J J Egozcue and V Pawlowsky-Glahn • Exploratory compositional data analysis, J Daunis-i-Estadella, C Barceló-Vidal and A Buccianti • Frequency distributions and natural laws in geochemistry, A Buccianti, G Mateu-Figueras and V Pawlowsky-Glahn • Rounded zeros: some practical aspects for compositional data, J A Martìn-Fernandez and S Thió-Henestrosa • Is the simplex open or closed? (some topological concepts), E Barrabés and G Mateu-Figueras  

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