Optimized temporal sampling designs of the Weibull growth curve with extensions to the von Bertalanffy model | Zendy

Swintek J. | Zendy; Etterson M. | Zendy; Flynn K. | Zendy; Johnson R. | Zendy

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Optimized temporal sampling designs of the Weibull growth curve with extensions to the von Bertalanffy model

Author(s) -

Swintek J.,

Etterson M.,

Flynn K.,

Johnson R.

Publication year - 2019

Publication title -

environmetrics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.68

H-Index - 58

eISSN - 1099-095X

pISSN - 1180-4009

DOI - 10.1002/env.2552

Subject(s) - weibull distribution , growth curve (statistics) , statistics , sampling (signal processing) , mathematics , sigmoid function , shape parameter , schedule , population , computer science , artificial intelligence , demography , filter (signal processing) , sociology , artificial neural network , computer vision , operating system

We describe designs for the temporal aspect of sampling in an experiment that estimates the population mean growth of an organism that can be modeled using a Weibull or von Bertalanffy growth curve. First, the properties of the Weibull growth curve are explained. Next, using the shape parameter ( v ), the Weibull growth curve can be categorized into two shape categories: sigmoid and saturation. 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 results are used to recommend a generalized sampling design to best determine the shape and size of a growth curve.

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