Environmental and Ecological Statistics

, Volume 23, Issue 3, pp 421–434 | Cite as

Sparse PCA and investigation of multi-elements compositional repositories: theory and applications

  • Michele Gallo
  • Nickolay T. Trendafilov
  • Antonella Buccianti
Article
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Revised:

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.

Keywords

CoDa Logratios Steepest descent Stiefel manifold 
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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • Michele Gallo
    • 1
  • Nickolay T. Trendafilov
    • 2
  • Antonella Buccianti
    • 3
  1. 1.Department of Human and Social SciencesUniversity of Naples “L’Orientale”NapoliItaly
  2. 2.Department of Mathematics and StatisticsThe Open UniversityMilton KeynesUK
  3. 3.Department of Earth SciencesUniversity of FlorenceFlorenceItaly

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