On Sample Size, Statistical Power, and the Detection of Density Dependence

Abstract
(1) In reviewing the results of Stiling (1988) on the detection of density dependence in insect populations, Hassell, Latto and May (1989) observed that density dependence is more commonly detected in large samples. We interpret this observation in terms of the statistical power of the test used to detect density dependence. (2) Using simple models, we show that even for moderately strong density dependence, it is necessary to observe up to thirty generations before density independence can be rejected with high probability.