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    Measures of precision for dissimilarity-based multivariate analysis of ecological communities

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    Authors
    Anderson, M.
    Santana Garcon, Julia
    Date
    2015
    Type
    Journal Article
    
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    Citation
    Anderson, M. and Santana Garcon, J. 2015. Measures of precision for dissimilarity-based multivariate analysis of ecological communities. Ecology Letters. 18 (1): pp. 66-73.
    Source Title
    Ecology Letters
    DOI
    10.1111/ele.12385
    ISSN
    1461-023X
    School
    Department of Environment and Agriculture
    URI
    http://hdl.handle.net/20.500.11937/37308
    Collection
    • Curtin Research Publications
    Abstract

    Ecological studies require key decisions regarding the appropriate size and number of sampling units. No methods currently exist to measure precision for multivariate assemblage data when dissimilarity-based analyses are intended to follow. Here, we propose a pseudo multivariate dissimilarity-based standard error (MultSE) as a useful quantity for assessing sample-size adequacy in studies of ecological communities. Based on sums of squared dissimilarities, MultSE measures variability in the position of the centroid in the space of a chosen dissimilarity measure under repeated sampling for a given sample size. We describe a novel double resampling method to quantify uncertainty in MultSE values with increasing sample size. For more complex designs, values of MultSE can be calculated from the pseudo residual mean square of a permanova model, with the double resampling done within appropriate cells in the design. R code functions for implementing these techniques, along with ecological examples, are provided.

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