How many sites? Methods to assist design decisions when collecting
multivariate data in ecology
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.