Subcompositional coherence is a fundamental property of Aitchison’s approach to compositional data analysis, and is the … principal justification for using ratios of components. We maintain, however, that lack of subcompositional coherence, that is … subcompositional incoherence, can be used to establish a distance matrix which can be directly compared with the pairwise distances in …

is founded on the principle of subcompositional coherence, which assures that results are invariant to considering … the logratio biplot, we obtain a method which obeys both principles of subcompositional coherence and distributional …