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Comments on: Compositional data: the sample space and its structure

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  1. As a comment, Greenacre (2011) published a paper “Measuring subcompositional incoherence” to show that the ideal of subcompositional coherence could be approximated by some methods that are not logratio-based. The proposed quantitative measurement of incoherence (i.e. lack of coherence) was quite straightforward and many numerical examples were included. Yet in the present paper the authors, at the end of Sect. 2.1, misrepresent this approach by saying, in their defence of strict coherence: “Incoherence is, in general, difficult to measure, or even check, numerically (Greenacre 2011)”.

  2. These are arithmetic averages, whereas, to obtain yearly averages for Spain, the ACs should be weighted by their active population sizes, which were not available. Optional weights for both the rows and the columns of a compositional data matrix are included in the approach of Greenacre (2018a, b).

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Correspondence to Michael Greenacre.

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This comment refers to the invited paper available at: https://doi.org/10.1007/s11749-019-00670-6.

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Greenacre, M. Comments on: Compositional data: the sample space and its structure. TEST 28, 644–652 (2019). https://doi.org/10.1007/s11749-019-00673-3

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