Spatial Heterogeneity and Critical Patch Size: Area Effects via Diffusion in Closed Environments
✍ Scribed by R.S. CANTRELL; CHRIS COSNER
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 282 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0022-5193
No coin nor oath required. For personal study only.
✦ Synopsis
We describe a class of mathematical models for critical patch size in which the mechanisms inducing area e!ects are based on source}sink population dynamics arising from dispersal throughout a closed, "nite, but spatially heterogeneous environment. Our models are reac-tion}di!usion equations, but unlike classical KISS models for area e!ects they do not assume that there is dispersal across the boundary of the environment into a hostile exterior. We observe that simple rescaling has the same e!ects in our models as in KISS models and hence predicts the same sort of area e!ects, but that other sorts of rescaling may not predict area e!ects. The models considered here provide an alternative to the KISS models used in our previous work on species}area relationships in island biogeography.