Affiliation:
1. Tasmanian Institute of Agriculture, Private Bag 98, Hobart, Tasmania 7001, Australia (d.ratkowsky@utas.edu.au)
2. Montana State University, Western Triangle Ag Research Center, 9546 Old Shelby Rd., P.O. Box 656, Conrad, MT 59425 (reddy@montana.edu),
Abstract
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.
Publisher
Oxford University Press (OUP)
Cited by
45 articles.
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