International Workshop on Compositional Data Analysis

CoDaWork 2015: Compositional Data Analysis pp 167-180

Representation of Species Composition

  • V. Pawlowsky-Glahn
  • T. Monreal-Pawlowsky
  • J. J. Egozcue
Conference paper

DOI: 10.1007/978-3-319-44811-4_11

Volume 187 of the book series Springer Proceedings in Mathematics & Statistics (PROMS)
Cite this paper as:
Pawlowsky-Glahn V., Monreal-Pawlowsky T., Egozcue J.J. (2016) Representation of Species Composition. In: Martín-Fernández J., Thió-Henestrosa S. (eds) Compositional Data Analysis. CoDaWork 2015. Springer Proceedings in Mathematics & Statistics, vol 187. Springer, Cham

Abstract

The Aitchison geometry of the simplex, the sample space of compositional data, allows statistical modelling and analysis of compositions without the problems derived from spurious correlation. Here, it is used to show that it offers an alternative to the de Finetti ternary diagram for representing variability of species composition avoiding the problems typical of a standard analysis of proportions, namely spurious correlation and limitation to three or at most four components. The method is illustrated with data representing the species composition of Free and FAD tuna school sets sampled in the Indian and Atlantic Oceans during the 2002–2008 period by purse seiners.

Keywords

SimplexTernary diagramAitchison geometryTunaFisheries

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • V. Pawlowsky-Glahn
    • 1
  • T. Monreal-Pawlowsky
    • 2
  • J. J. Egozcue
    • 3
  1. 1.Department of Computer Science, Applied Mathematics, and StatisticsUniversity of GironaGironaSpain
  2. 2.IZVGKeighleyUK
  3. 3.Department of Civil and Environmental EngineeringTechnical University of CataloniaBarcelonaSpain