Stochasticity, invasions, and branching random walks

Theor Popul Biol. 2004 Nov;66(3):175-84. doi: 10.1016/j.tpb.2004.05.005.

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.

MeSH terms

  • Probability
  • Species Specificity
  • Stochastic Processes*