Spatial moment equations for dynamics of ecological systems
Ben Bolker (Department of Zoology, University of Florida)
(January 24, 2006 10:30 AM - 11:30 AM)
Spatial moment equations are an alternative approach to understanding population and community dynamics in a heterogeneous spatial environment. In contrast to typical spatial PDEs, which track population densities at every point in the habitat, spatial moment equations focus on the spatial correlations in density between nearby points. I will give a brief and highly non-rigorous derivation of spatial moment equations, followed by an application to the evolution of dispersal distance and shape in a heterogeneous environment.