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A pathway for multivariate analysis of ecological communities using copulas.

Marti J Anderson1,2, Perry de Valpine3, Andrew Punnett2

  • 1New Zealand Institute for Advanced Study (NZIAS) Massey University Auckland New Zealand.

Ecology and Evolution
|April 10, 2019
PubMed
Summary

This study introduces a novel multivariate analysis for species abundance data, combining copulas and dissimilarity methods. It reveals increased fish species associations after marine reserve establishment.

Keywords:
abundance datadiscrete countsover‐dispersionspecies’ associationsstatistical modelzero‐inflation

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Area of Science:

  • Ecology
  • Statistics
  • Bioinformatics

Background:

  • Ecological community data often involves complex species abundance counts.
  • Existing multivariate methods may not fully capture inter-species associations and community structure.
  • There is a need for integrated approaches combining species-level modeling with community-level analysis.

Purpose of the Study:

  • To present a new multivariate analysis pathway for species abundance data.
  • To integrate copula-based joint species modeling with dissimilarity-based community analysis.
  • To enhance understanding of ecological systems through a combined model-based and dissimilarity-based approach.

Main Methods:

  • Utilized copulas to model associations among individual species' abundance distributions.
  • Employed dissimilarity-based methods for a holistic community view.
  • Developed a Monte Carlo Expectation Maximization algorithm for copula correlation matrix estimation with discrete data.
  • Simulated realistic ecological community data using parameterized copula models.

Main Results:

  • Demonstrated the pathway's implementation with an ecological example.
  • Observed an increase in associations among fish species following marine reserve establishment.
  • Showcased the ability of copula models to simulate community data and dissimilarity-based power curves.

Conclusions:

  • The proposed pathway effectively combines model-based and dissimilarity-based methods for ecological analysis.
  • This approach offers new opportunities for understanding complex ecological community dynamics.
  • The findings highlight the impact of marine reserves on fish species interactions.