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This rejoinder refers to the comments available at https://doi.org/10.1007/s11749-019-00671-5 , https://doi.org/10.1007/s11749-019-00672-4 , https://doi.org/10.1007/s11749-019-00673-3.
The log-ratio approach to compositional data (CoDa) analysis has now entered a mature phase. The principles and statistical tools introduced by J. Aitchison in the eighties have proven successful in solving a number of applied problems. The algebraic–geometric structure of the sample space, tailored to those principles, was developed at the beginning of the millennium. Two main ideas completed the...
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