caa a22 4500 475762460 CHVBK 20180406123555.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1009662915320 doi (NATIONALLICENCE)springer-10.1023/A:1009662915320 Candy Steven Forestry Tasmania, GPO Box 207B, 7001, Hobart, Tasmania, Australia aut The application of generalized linear mixed models to multi-level sampling for insect population monitoring [Elektronische Daten] [Steven Candy] Iwao's quadratic regression or Taylor's Power Law (TPL) are commonly used to model the variance as a function of the mean for sample counts of insect populations which exhibit spatial aggregation. The modeled variance and distribution of the mean are typically used in pest management programs to decide if the population is above the action threshold in any management unit (MU) (e.g., orchard, forest compartment). For nested or multi-level sampling the usual two-stage modeling procedure first obtains the sample variance for each MU and sampling level using ANOVA and then fits a regression of variance on the mean for each level using either Iwao or TPL variance models. Here this approach is compared to the single-stage procedure of fitting a generalized linear mixed model (GLMM) directly to the count data with both approaches demonstrated using 2-level sampling. GLMMs and additive GLMMs (AGLMMs) with conditional Poisson variance function as well as the extension to the negative binomial are described. Generalization to more than two sampling levels is outlined. Formulae for calculating optimal relative sample sizes (ORSS) and the operating characteristic curve for the control decision are given for each model. The ORSS are independent of the mean in the case of the AGLMMs. The application described is estimation of the variance of the mean number of leaves per shoot occupied by immature stages of a defoliator of eucalypts, the Tasmanian Eucalyptus leaf beetle, based on a sample of trees within plots from each forest compartment. Historical population monitoring data were fitted using the above approaches. Kluwer Academic Publishers, 2000 Integrated Pest Management nationallicence Iwao's regression nationallicence negative binomial distribution nationallicence Poisson distribution nationallicence Taylor's Power Law nationallicence variance model nationallicence Environmental and Ecological Statistics Kluwer Academic Publishers 7/3(2000-09-01), 217-238 1352-8505 7:3<217 2000 7 10651 https://doi.org/10.1023/A:1009662915320 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1009662915320 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Candy Steven Forestry Tasmania, GPO Box 207B, 7001, Hobart, Tasmania, Australia aut NATIONALLICENCE 773 0- Environmental and Ecological Statistics Kluwer Academic Publishers 7/3(2000-09-01), 217-238 1352-8505 7:3<217 2000 7 10651 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer