Stochasticity, invasions, and branching random walks

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2004 English Publisher:Elsevier BVJournal:Theoretical Population Biology, volume 66, pages 175-184 (issn: 0040-5809,

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Authors: Mark, Kot; Jan, Medlock; Timothy, Reluga; D Brian, Walton;

doi: 10.1016/j.tpb.2004.05.005

pmid: 15465119

Stochasticity, invasions, and branching random walks

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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.

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Keywords

Stochastic Processes, Species Specificity, Probability

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