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Optimized temporal sampling designs of the Weibull growth curve with extensions to the von Bertalanffy model
Citation:
Swintek, J., M. Etterson, K. Flynn, AND R. Johnson. Optimized temporal sampling designs of the Weibull growth curve with extensions to the von Bertalanffy model. ENVIRONMETRICS. John Wiley & Sons Incorporated, New York, NY, 30(6):1-14, (2019). https://doi.org/10.1002/env.2552
Impact/Purpose:
This manuscript describes a methodology for fitting the Weibull growth curve to repeated sampling data on fish. It is intended to provide an underpinning for ecotoxicological experiments in which the measurement endpoint is fish growth. The overall objective is to provide the most efficient possible way to take data pertaining to the effects of contaminants on growth and make them useful for modeling growth effects in a wild population of fish. Ideally this manuscript will provide the foundation for using endpoints from the Fish Early Life Stage test to infer population-relevant risk estimates.
Description:
This document is intended to be a guide for designing the temporal aspect of sampling in an experiment that estimates the population mean growth of an organism that can be modeled using a Weibull growth curve. The guide starts out explaining the properties of the Weibull growth curve. Next, using the shape parameter (v), the guide separates the Weibull growth curve into two categories: sigmoid and saturation shape. D-optimization and shape classification are used to determine the optimal sampling occasions and the effect of a sampling schedule on the precision of the size estimates. Finally, the guide ties the information together to offer a generalized sampling design to best determine the shape and size of a growth curve.
URLs/Downloads:
DOI: Optimized temporal sampling designs of the Weibull growth curve with extensions to the von Bertalanffy model