A dynamical system for neighborhoods in plant communities

Authored by Ulf Dieckmann, R Law

Date Published: 2000

DOI: 10.1890/0012-9658(2000)081[2137:adsfni]2.0.co;2

Sponsors: International Institute for Applied Systems Analysis Wissenschaftskolleg zu Berlin

Platforms: No platforms listed

Model Documentation: Other Narrative Flow charts Mathematical description

Model Code URLs: Model code not found

Abstract

How should plant ecologists scale up from the fine-scale events affecting individual plants in small neighborhoods to the coarse-scale dynamics of plant communities? We give here a dynamical system, derived from an individual-based model, that captures the main effects of spatial structure. The individual-based model describes a multispecies plant community, living in a spatial domain, containing plants that (1) reproduce and die with rates that depend on other individuals in a specified neighborhood, and (2) move through seed dispersal and clonal growth. Over the course Of time, substantial spatial structure can build up in such a community due to local interactions and dispersal. The dynamical system describes how the structure of local neighborhoods changes over time, using the first and second spatial moments of the individual-based model. We show, by means of an example of two competing species, that the dynamical system gives a close approximation to the behavior of the underlying individual-based model and that the changes in local spatial structure as time progresses have fundamental effects on the dynamics.
Tags
Competition models Biodiversity ecosystems pattern growth Trifolium-repens Annuals Pasture