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Modeling and Analysis of Compositional Data by Vera Pawlowsky-Glahn, Juan Jose Egozcue, Raimon Tolosana-Delgado

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Chapter 9Compositional processes

Compositions can evolve depending on an external parameter such as space, time, temperature, pressure, or global economic conditions. The external parameter may be continuous or discrete. In general, the evolution is expressed as a function c09-math-0001, where c09-math-0002 represents the external variable and the image is a composition in c09-math-0003. In order to model compositional processes, the study of simple models appearing in practice is very important. This allows the analyst to distinguish at a glance features in the data useful to identify the type of process governing the phenomenon. Frequently, its evolution is presented as the evolution of c09-math-0004 components corresponding to amounts or masses, which are typically positive. Denote these vectors of amounts by c09-math-0005, with values in c09-math-0006, which, after closure, give the compositional process . Comparing visually the curves of evolution of with ...

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