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Abstract

Previous empirical models for describing the temperature-dependent development rates for insects include the Briére, Lactin, Beta, and Ratkowsky models. Another nonlinear regression model, not previously considered in population entomology, is the Lobry-Rosso-Flandrois model, the shape of which is very close to that of the Ratkowsky model in the suboptimal temperature range, but which has the added advantage that all four of its parameters have biological meaning. A consequence of this is that initial parameter estimates, needed for solving the nonlinear regression equations, are very easy to obtain. In addition, the model has excellent statistical properties, with the estimators of the parameters being “close-to-linear,” which means that the least squares estimators are close to being unbiased, normally distributed, minimum variance estimators. The model describes the pooled development rates very well throughout the entire biokinetic temperature range and deserves to become the empirical model of general use in this area.

Item Type:	Article
Authors/Creators:	Ratkowsky, DA and Reddy, GVP
Keywords:	nonlinear regression, Lobry-Rosso-Flandrois model, close-to-linear, square root model
Journal or Publication Title:	Annals of the Entomological Society of America
Publisher:	Oxford University Press
ISSN:	0013-8746
DOI / ID Number:	10.1093/aesa/saw098
Copyright Information:	Copyright 2017 The Authors
Related URLs:	UTAS Profile: Ratkowsky, DA
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