Stochasticity, invasions, and branching random walks.
We link deterministic integrodifference equations to stochastic, individual-based simulations by means of branching random walks. Using standard methods, we determine speeds of invasion for both average densities and furthest-forward individuals. For density-independent branching random walks, demographic stochasticity can produce extinction. Demographic stochasticity does not, however, reduce the overall asymptotic speed of invasion or preclude continually accelerating invasions.
Department of Applied Mathematics, Box 352420, University of Washington, Seattle, WA 98195-2420, USA. kot@amath.washington.edu
Mark
M
Kot
Jan
J
Medlock
Timothy
T
Reluga
D Brian
DB
Walton
D011336:Probability; D013045:Species Specificity; D013269:Stochastic Processes