Variation diagrams are revisited from a compositional perspective. An alternative, consistent with the Aitchison geometry of the simplex, is proposed. The new multiple binary diagrams compare a reference balance, b1, fixed on the x-axis, and a set of secondary balances, b2, on the y-axis. The diagrams fulfill compositional principles of invariance under change of scale, guaranteeing consistency of interpretations and working better than diagrams based on raw concentrations of chemical species. The new diagrams allow us to investigate the nature of compositional changes, and inform about the elements or chemical species responsible for the variation when data are a priori ranked following some compositional (or noncompositional) criteria. An application example using the chemistry of large rivers illustrates the procedure.
Variation diagrams to statistically model the behavior of geochemical variables: theory and applications / Buccianti A.; Egozcue J.J.; Pawlowsky-Glahn V.. - In: JOURNAL OF HYDROLOGY. - ISSN 0022-1694. - STAMPA. - 519:(2014), pp. 988-998. [10.1016/j.jhydrol.2014.08.028]
Variation diagrams to statistically model the behavior of geochemical variables: theory and applications
BUCCIANTI, ANTONELLA;
2014
Abstract
Variation diagrams are revisited from a compositional perspective. An alternative, consistent with the Aitchison geometry of the simplex, is proposed. The new multiple binary diagrams compare a reference balance, b1, fixed on the x-axis, and a set of secondary balances, b2, on the y-axis. The diagrams fulfill compositional principles of invariance under change of scale, guaranteeing consistency of interpretations and working better than diagrams based on raw concentrations of chemical species. The new diagrams allow us to investigate the nature of compositional changes, and inform about the elements or chemical species responsible for the variation when data are a priori ranked following some compositional (or noncompositional) criteria. An application example using the chemistry of large rivers illustrates the procedure.File | Dimensione | Formato | |
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