Statistical Interpretation of Species Composition

David D Billheimer, Peter Guttorp, William F. Fagan

Research output: Contribution to journalArticle

151 Citations (Scopus)

Abstract

The relative abundance of different species characterizes the structure of a biological community. We analyze an experiment addressing the relationship between omnivorous feeding linkages and community stability. Our goal is to determine whether communities with different predator compositions respond similarly to environmental disturbance. To evaluate these data, we develop a hierarchical statistical model that combines Aitchison's logistic normal distribution with a conditional multinomial observation distribution. In addition, we present an algebra for compositions that includes addition, scalar multiplication, and a metric for differences in compositions. The algebra aids interpretation of treatment effects, treatment interactions, and covariates. Markov chain Monte Carlo (MCMC) is used for inference in a Bayesian framework. Our experimental results indicate that a high degree of omnivory can help to stabilize community dynamics and prevent radical shifts in community composition. This result is at odds with classical food-web predictions, but agrees with recent theoretical formulations.

Original languageEnglish (US)
Pages (from-to)1205-1213
Number of pages9
JournalJournal. American Statistical Association
Volume96
Issue number456
StatePublished - Dec 2001
Externally publishedYes

Fingerprint

Food Web
Logistics/distribution
Scalar multiplication
Algebra
Odds
Treatment Effects
Hierarchical Model
Predator
Markov Chain Monte Carlo
Linkage
Statistical Model
Gaussian distribution
Covariates
Disturbance
Community
Interpretation
Metric
Formulation
Evaluate
Prediction

Keywords

  • Compositional data
  • MCMC
  • Multinomial regression
  • Random effects
  • Species assemblage

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

Statistical Interpretation of Species Composition. / Billheimer, David D; Guttorp, Peter; Fagan, William F.

In: Journal. American Statistical Association, Vol. 96, No. 456, 12.2001, p. 1205-1213.

Research output: Contribution to journalArticle

Billheimer, David D ; Guttorp, Peter ; Fagan, William F. / Statistical Interpretation of Species Composition. In: Journal. American Statistical Association. 2001 ; Vol. 96, No. 456. pp. 1205-1213.
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