Stochasticity, invasions, and branching random walks

Mark Kot; Jan Medlock; Timothy Reluga; D. Brian Walton

doi:10.1016/j.tpb.2004.05.005

Stochasticity, invasions, and branching random walks

Mark Kot, Jan Medlock, Timothy Reluga, D. Brian Walton

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

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.

Original language	English (US)
Pages (from-to)	175-184
Number of pages	10
Journal	Theoretical Population Biology
Volume	66
Issue number	3
DOIs	https://doi.org/10.1016/j.tpb.2004.05.005
State	Published - Nov 2004

All Science Journal Classification (ASJC) codes

Ecology, Evolution, Behavior and Systematics

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10.1016/j.tpb.2004.05.005

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title = "Stochasticity, invasions, and branching random walks",

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.",

author = "Mark Kot and Jan Medlock and Timothy Reluga and {Brian Walton}, D.",

year = "2004",

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T1 - Stochasticity, invasions, and branching random walks

AU - Kot, Mark

AU - Medlock, Jan

AU - Reluga, Timothy

AU - Brian Walton, D.

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N2 - 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.

AB - 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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SP - 175

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JO - Theoretical Population Biology

JF - Theoretical Population Biology

IS - 3

ER -

Stochasticity, invasions, and branching random walks

Abstract

All Science Journal Classification (ASJC) codes

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