Outline

Formulating spatial models:

• Random walks

• Reaction-diffusion equations

• Integrodifference equations

Core problems:

• Population persistence.
  What is the critical patch size for an endangered population?

• Range shifts.
  Can populations keep pace with climate-induced range shifts?

• Spread rates
  How quickly do invading populations spread?

• Pattern formation.
  Can spatial patterns in density arise from trophic interactions and dispersal in homogeneous environments?

• Age and stage structure.
  How do age and stage structure, in growth and dispersal, affect the answers to the above questions?