Article,
Techniques of spatially explicit individual-based models: construction, simulation, and mean-field analysis
Ecological Modelling, 150 (1): 55-81 (2002)
DOI: https://doi.org/10.1016/S0304-3800(01)00463-X
Abstract
The main focus of this article is to present and relate four different frameworks in which spatially explicit individual-based models (IBMs) can be defined. These frameworks differ in the way space and time are modeled; each can be treated either discretely or continuously. The emphasis is put on constructing and simulating one of the simplest single-species IBMs in each spatio-temporal framework, discussing some of their technical subtleties, and deriving corresponding mean-field models when the homogeneous mixing conditions are assumed to hold. The four frameworks are more supplements than competitors. Since at almost every step of IBM construction several alternatives are a priori plausible I discuss the most important ones in more details. This article seems to be the first attempt to collect and synthesize information of this kind that is scattered over the literature.
