An open-ended logistic-based growth function: analytical solutions and the power-law logistic model
Thornley, John H. M.; Shepherd, John J.; France, J.. 2007 An open-ended logistic-based growth function: analytical solutions and the power-law logistic model. Ecological Modelling, 204 (3-4). 531-534. 10.1016/j.ecolmodel.2006.12.026Full text not available from this repository.
An open-ended form of the logistic equation was recently proposed, using a model comprising two differential equations [Thornley, J.H.M., France, J., 2005. An open-ended logistic-based growth function. Ecol. Model. 184, 257–261]. The equations represent the two processes of growth and development, and are coupled. In this note, an analytical solution is developed for constant parameters. The solution can be expressed as a targetted single-differential-equation model, the θ-logistic or power-law logistic model, which is a well-known empirical growth equation in ecology and elsewhere. The analysis may facilitate mechanistic interpretation and application of the power-law logistic model as well as the original open two-differential-equation model.
|Item Type:||Publication - Article|
|Digital Object Identifier (DOI):||10.1016/j.ecolmodel.2006.12.026|
|Programmes:||CEH Programmes pre-2009 publications > Biodiversity|
|CEH Sections:||CEH fellows|
|Additional Keywords:||Logistic, θ-Logistic, Power-law-logistic, Generalized logistic, Model Growth, Development, Variable asymptote, Open-ended, Analytical solutions|
|NORA Subject Terms:||Ecology and Environment
|Date made live:||21 May 2008 09:49|
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