TitleStochasticity, invasions, and branching random walks.
Publication TypeJournal Article
Year of Publication2004
AuthorsKot, M, Medlock, J, Reluga, T, D Walton, B
JournalTheoretical population biology
Volume66
Issue3
Pagination175-84
Date Published2004 Nov
KeywordsStochastic 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.

DOI10.1016/j.tpb.2004.05.005