Outline
Formulating spatial models:
- Reaction-diffusion equations
- Random walks
- Integrodifference equations
- Branching random walks
Core problems:
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Population persistence.
What is the critical patch size for an endangered population?
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Range shifts.
Can populations keep pace with climate-induced range shifts?
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Spread rates
How quickly do invading populations spread?
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Pattern formation.
Can spatial patterns in density arise from trophic interactions and dispersal in homogeneous environments?