Introduction to Ordination Techniques

  • John C. Gower
Part of the NATO ASI Series book series (volume 14)

Abstract

The main ordination techniques used in ecology to display data on species and/or sites are described and attention is drawn to three areas of confusion whose clear understanding governs proper use. These are
  1. (i)

    the relevance of different types of data and measurement-scales: (e.g. presence/absence, abundance, biomass, counts, ratio-scales, interval-scales)

     
  2. (ii)

    the different implicit models that underly what superficially may seem to be similar kinds of display but which are to be interpreted differently (e.g. through distance angle or asymmetry)

     
  3. (iii)

    the distinction between a two-way table and a multivariate sample (units x variables).

     

Against this background the following methods are briefly described - Principal Component Analysis; Duality, Q and R-mode Analysis; Principal Coordinates Analysis; Classical Scaling; Metric Scaling via Stress and Sstress; Multidimensional Unfolding; Non-metric Multidimensional Scaling; the effects of closure; Horseshoes; Multiplicative Models; Asymmetry Analysis; Canonical Analysis; Correspondence Analysis; Multiple Correspondence Analysis; Comparison of Ordinations; Orthogonal Procrustes Analysis; Generalised Procrustes Analysis; Individual Differences Scaling and other three-way methods.

The more important methods, not discussed in greater detail elsewhere in t h i s volume, are illustrated by examples and the provenance of suitable software is given.

Keywords

Biomass Migration Covariance Geochemistry Lime 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • John C. Gower
    • 1
  1. 1.Rothamsted Experimental StationHarpenden, HertsUK

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