20. Spectral Analysis of Compositional Data in Cyclostratigraphy

  1. Vera Pawlowsky-Glahn2 and
  2. Antonella Buccianti3
  1. Eulogio Pardo-Igúzquiza and
  2. Javier Heredia

Published Online: 28 JUL 2011

DOI: 10.1002/9781119976462.ch20

Compositional Data Analysis: Theory and Applications

Compositional Data Analysis: Theory and Applications

How to Cite

Pardo-Igúzquiza, E. and Heredia, J. (2011) Spectral Analysis of Compositional Data in Cyclostratigraphy, in Compositional Data Analysis: Theory and Applications (eds V. Pawlowsky-Glahn and A. Buccianti), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119976462.ch20

Editor Information

  1. 2

    Department of Computer Science and Applied Mathematics, University of Girona, Spain

  2. 3

    Department of Earth Sciences, University of Florence, Italy

Author Information

  1. Instituto Geológico y Minero de España (IGME), Geological Survey of Spain, Madrid, Spain

Publication History

  1. Published Online: 28 JUL 2011
  2. Published Print: 23 SEP 2011

ISBN Information

Print ISBN: 9780470711354

Online ISBN: 9781119976462

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Keywords:

  • spectral analysis of compositional data - in cyclostratigraphy;
  • sequences of data (time series and one-dimensional spatial sequences) - compositional data;
  • applications of compositional data analysis - using geochemical-like data;
  • basic idea of spectral analysis of compositional data - simplex geometry, modifying original spectral content;
  • three two-part compositional sinusoids - the new spectral peaks;
  • cross-spectral analysis of three-part compositional time series - coherency and phase spectrum;
  • simulation results, coherency of three-part time series - from two-coordinate time series;
  • Lomb–Scargle periodogram, and irregular time series - without interpolation;
  • cyclostratigraphy, and functions of cross-spectral analysis - coherency and phase spectrum;
  • spectral features, from coherency - informative, revealing Milankovitch connection of a species

Summary

This chapter contains sections titled:

  • Introduction

  • The Method

  • Case Study

  • Discussion

  • Conclusions

  • Acknowledgement

  • References