ABSTRACT: Spatially Structured Discrete Population Models
by David Hiebeler
Center for Applied Math, Cornell University
Published in Advanced Topics in Biomathematics: Proceedings of the
International Conference on Mathematical Biology,
edited by Lansun Chen, Shigui Ruan, and Jun Zhu (World Scientific, 1998).
Spatial structure plays an important role in ecological dynamics, for
example through spatially local competitive interactions and
dispersal. The standard techniques used to study spatial aspects of
ecological systems include spatially explicit population models,
spatially implicit approximations such as mean field or metapopulation
models, and statistical approaches. Recently, pair approximations
have been gaining popularity as a way of incorporating a small amount
of spatial structure in an analytically tractable framework, primarily
for continuous-time population models. This paper develops the pair
approximation for a discrete-time stochastic spatial population model,
and describes how it can be used to find critical values for
parameters in the model.
Back to Hiebeler's papers
Hiebeler's little home page
Dave Hiebeler <hiebeler@math.zzz.edu> (change 'zzz' to 'umaine' to send e-mail -- sorry, but spam harvesters are out there)
Last modified: Wed May 19 20:34:48 1999