17. Flying in Compositional Morphospaces: Evolution of Limb Proportions in Flying Vertebrates

  1. Vera Pawlowsky-Glahn2 and
  2. Antonella Buccianti3
  1. Luis Azevedo Rodrigues1,
  2. Josep Daunis-i-Estadella2,
  3. Glòria Mateu-Figueras2 and
  4. Santiago Thió-Henestrosa2

Published Online: 28 JUL 2011

DOI: 10.1002/9781119976462.ch17

Compositional Data Analysis: Theory and Applications

Compositional Data Analysis: Theory and Applications

How to Cite

Azevedo Rodrigues, L., Daunis-i-Estadella, J., Mateu-Figueras, G. and Thió-Henestrosa, S. (2011) Flying in Compositional Morphospaces: Evolution of Limb Proportions in Flying Vertebrates, in Compositional Data Analysis: Theory and Applications (eds V. Pawlowsky-Glahn and A. Buccianti), John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119976462.ch17

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. 1

    Secondary School Gil Eanes, Lagos, Portugal

  2. 2

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

  • flying in compositional morphospaces - evolution of limb proportions, in flying vertebrates;
  • compositional data analysis (CODA) - geometric variation of limb proportions, in ternary morphospaces, and in linear bivariate spaces;
  • data of Dyke et al. and McGowan and Dyke (2007) using CODA - statistical properties of proportions;
  • flying vertebrates - general anatomical and functional characteristics;
  • methods - CODA and relative magnitude and variations, between component values;
  • log-ratio transformations - centred log-ratio transformation (clr) and isometric log-ratio transformation (ilr);
  • Aitchison distance disparity metrics - geometric centroids for distinct taxa;
  • intragroup Aitchison distance - passerines, a tightly clustered group in terms of forelimb proportions;
  • size effect - non-autopodial elements of forelimb, reduced in size;
  • aves, and bone proportions - Aitchison distances MANOVA confirming, differences in limb parts

Summary

This chapter contains sections titled:

  • Introduction

  • Flying Vertebrates – General Anatomical and Functional Characteristics

  • Materials

  • Methods

  • Aitchison Distance Disparity Metrics

  • Statistical Tests

  • Biplots

  • Balances

  • Size Effect

  • Final Remarks

  • Acknowledgements

  • References