Title | Stochasticity, invasions, and branching random walks. |
Publication Type | Journal Article |
Year of Publication | 2004 |
Authors | Kot, M, Medlock, J, Reluga, T, D Walton, B |
Journal | Theoretical population biology |
Volume | 66 |
Issue | 3 |
Pagination | 175-84 |
Date Published | 2004 Nov |
Keywords | Stochastic Processes |
Abstract | 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. |
DOI | 10.1016/j.tpb.2004.05.005 |