Sample Sizes and Distributions of Japanese Beetles (Coleoptera: Scarabaeidae) Captured in Lure Traps

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Abstract
Sampling statistics were determined for Japanese beetles, Popillia japonica Newman, caught in traps baited with a 3:7:3 mixture of phenethyl propionate/eugenol/geraniol, or with (R, Z)-5-(1-decenyl)dihydro-2(3H)-furanone (Japonilure), or with a combination of both lures. Iwao’s patchiness regression and a quadratic model were inappropriate for modeling the mean-variance relationships. Taylor’s power law was used to model these data, and relationships were developed for beetle numbers captured by traps baited with phenethyl propionate-eugenol-geraniol alone or in combination with Japonilure and for males and females captured by traps baited with Japonilure alone. Relationships to determine sample sizes for fixed levels of precision were also developed. The In(X + 1) transformation did not standardize the mean-variance relationship for any data set, but the Healy & Taylor transformation was effective on all data sets.

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