Canonical Correspondence Analysis as an approximation to Gaussian ordination

Kimberly Welsh Johnson, Naomi S. Altman

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Canonical Correspondence Analysis is an approximation to maximum likelihood estimation for Gaussian ordination under certain restrictions of the ordination model. Species tolerances must be equal, and species maxima must be equal or at least independent of the location of the optima. These assumptions are often violated in practice. This paper develops graphical displays to explore how well species abundances approximate Gaussian curves along the derived environmental axes. As well, a simulation study was performed to determine how well Canonical Correspondence Analysis recovered the true axes when the Gaussian model for species abundance is correct, but the assumptions about the tolerances, maxima and location of optima are violated. The methods were applied to an analysis of an observational study conducted on a fen in the Black Hills of South Dakota.

Original languageEnglish (US)
Pages (from-to)39-52
Number of pages14
JournalEnvironmetrics
Volume10
Issue number1
DOIs
StatePublished - Jan 1 1999

Fingerprint

Ordination
Canonical Analysis
Correspondence Analysis
correspondence analysis
ordination
Approximation
Tolerance
tolerance
Graphical Display
Observational Study
fen
Gaussian Model
Maximum Likelihood Estimation
Simulation Study
Restriction
Curve
simulation

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Ecological Modeling

Cite this

Johnson, Kimberly Welsh ; Altman, Naomi S. / Canonical Correspondence Analysis as an approximation to Gaussian ordination. In: Environmetrics. 1999 ; Vol. 10, No. 1. pp. 39-52.
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Canonical Correspondence Analysis as an approximation to Gaussian ordination. / Johnson, Kimberly Welsh; Altman, Naomi S.

In: Environmetrics, Vol. 10, No. 1, 01.01.1999, p. 39-52.

Research output: Contribution to journalArticle

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