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On the Harker Variation Diagrams; A Comment on “The Statistical Analysis of Compositional Data. Where Are We and Where Should We Be Heading?” by Aitchison and Egozcue (2005)

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Abstract

The current theoretical development of the analysis of compositional data in the article by Aitchison and Egozcue neglects the use of Harker’s variation diagrams and other similar plots as “meaningless” or “useless” on compositional data. In this work, it is shown that variation diagrams essentially are not a correlation tool but a graphical representation of the mass actions and mass balances principles in the context of a given geological system, and, when they are used correctly, they provide vital information for the igneous petrologist. The qualitative validity of the “spurious trends” in these diagrams is also shown, when they are interpreted in their proper geological framework. The example previously used by Rollinson to test the usefulness of the log-ratio transformation in the Aitchison and Egozcue article is revisited here in order to fully illustrate the proper use of this tool.

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Authors and Affiliations

  1. Department of Geology, University at Buffalo, The State University of New York, 876 Natural Sciences Complex, Buffalo, NY, 14260-3050, USA

    Joaquín A. Cortés

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  1. Joaquín A. Cortés
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Correspondence to Joaquín A. Cortés.

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Cortés, J.A. On the Harker Variation Diagrams; A Comment on “The Statistical Analysis of Compositional Data. Where Are We and Where Should We Be Heading?” by Aitchison and Egozcue (2005). Math Geosci 41, 817–828 (2009). https://doi.org/10.1007/s11004-009-9222-8

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