Analysis of logistic growth models
Loading...
Date
2001
DOI
Open Access Location
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Massey University
Rights
Abstract
A variety of growth curves have been developed to model both unpredated, intraspecific
population dynamics and more general biological growth. Most successful predictive models are
shown to be based on extended forms of the classical Verhulst logistic growth equation. We further
review and compare several such models and calculate and investigate properties of interest for
these. We also identify and detail several previously unreported associated limitations and restrictions.
A generalized form of the logistic growth curve is introduced which is shown incorporate these
models as special cases. The reported limitations of the generic growth model are shown to be addressed
by this new model and similarities between this and the extended growth curves are identified.
Several of its properties are also presented. We furthermore show that additional growth characteristics
are accommodated by this new model, enabling previously unsupported, untypical population dynamics to
be modelled by judicious choice of model parameter values alone.
Description
Keywords
Growth curves, Growth models
Citation
Tsoularis, A. (2001), Analysis of logistic growth models, Research Letters in the Information and Mathematical Sciences, 2, 23-46