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- Title
THE ROLE OF THE DELAY TIME IN THE MQDELING OF BIOLOGICAL RANGE EXPANSIONS.
- Authors
Ortega-Cejas, Vicente; Fort, Joaquim; Méendez, Vicenç
- Abstract
The time interval between successive migrations of biological, species causes a delay time in the reaction--diffusion equations describing their space--time dynamics. This lowers the predicted speed of the waves of advance, as compared to classical models. It has been shown that this delay-time effect improves the modeling of human range expansions. Here, we demonstrate that it can also be important for other species. We present two new examples where the predictions of the time-delayed and the classical (Fisher) approaches are compared to experimental data. No free or adjustable parameters are used. We show that the importance of the delay effect depends on the dimensionless product of the initial growth rate and the delay time. We argue that the delay effect should be taken into account in the modeling of range expansions for biological species.
- Subjects
ANIMAL migration; DISPERSION (Chemistry); INTERVAL analysis; MODELING (Sculpture); RANGE ecology; BUSINESS expansion
- Publication
Ecology, 2004, Vol 85, Issue 1, p258
- ISSN
0012-9658
- Publication type
Article
- DOI
10.1890/02-0606