Sparse PCA and investigation of multielements compositional repositories: theory and applications

Gallo, Michele; Trendafilov, Nickolay and Buccianti, Antonella (2016). Sparse PCA and investigation of multielements compositional repositories: theory and applications. Environmental and Ecological Statistics, 23(3) pp. 421–434.

DOI: https://doi.org/10.1007/s10651-016-0346-y

Abstract

The geochemistry of floodplain sediments is fundamental to monitor
environmental changes and to quantify their contribution to natural and anthropic processes. A floodplain sediment composition is a vector of positive elements which sum to a fixed constant. The analysis of high-dimensional compositions requires methods that produce results involving only a small portion of the original variables. On the other hand, the analysis must take into account the additional constraints specific to compositions. With the purpose of studying these problems, a new procedure for sparse PCA is proposed on European floodplain sediment samples.

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