Acknowledgments

We acknowledge the many comments made by readers of the original lecture notes, pointing at both small and important errors in the text. Essential have also been the many contributions and discussions presented at several editions of CoDaWork, the International Workshop on Compositional Data Analysis, extensively cited throughout the text. They all have contributed to improve the theory presented here. We also appreciate the support received from our institutions, research groups, the Spanish Ministry of Economy and Competitiveness under the project “METRICS” (Ref. MTM2012-33236), and the Generalitat de Catalunya through the project “Compositional and Spatial Analysis” (COSDA) (Ref. 2014SGR551).

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