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spatial heterogeneity in ecology



Hi:
If anyone can help me with the following questions, I'll be grateful:
1) What, if any, are the limitations of handling spatial heterogeneity in
ecology thru deterministic models such as reaction-diffusion models (for
examoles, see S. A. Levin's papers on the subject).?
2) What are some nondeterministic/statistical ways of studying the effects
of spatial heterogeneity on populations and dispersals?
Thanx
Tejas Desai