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How many sites? Methods to assist design decisions when collecting multivariate data in ecology
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  • Ben Maslen,
  • Gordana Popovic,
  • Adriana Verges,
  • Ezequiel Marzinelli,
  • David Warton
Ben Maslen
University of New South Wales

Corresponding Author:[email protected]

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Gordana Popovic
University of New South Wales
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Adriana Verges
University of New South Wales
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Ezequiel Marzinelli
The University of Sydney Faculty of Science
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David Warton
University of New South Wales
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Abstract

Sample size estimation through power analysis is a fundamental tool in planning an ecological study, yet there are currently no well-established procedures for when multivariate abundances are to be collected. A power analysis procedure would need to address three challenges: designing a parsimonious simulation model that captures key community data properties; measuring effect size in a realistic yet interpretable fashion; and ensuring computational feasibility when simulation is used both for power estimation and significance testing. Here we propose a power analysis procedure that meets these challenges with accompanying R software (ecopower). Our simulation model uses a Gaussian copula model, and expert opinion is leveraged to simplify effect size specification into “increasers”, “decreasers” or “no effect” taxa. Computational issues are addressed by using a critical value approach, reducing computation time from days to minutes. The procedure is demonstrated by estimating the sample size required to detect changes for fish abundances.