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

47 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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doi = "10.1016/j.tpb.2004.05.005",

language = "English (US)",

volume = "66",

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journal = "Theoretical Population Biology",

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T1 - Stochasticity, invasions, and branching random walks

AU - Kot, Mark

AU - Medlock, Jan

AU - Reluga, Timothy

AU - Brian Walton, D.

PY - 2004/11

Y1 - 2004/11

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.

UR - https://www.scopus.com/pages/publications/4644298001

UR - https://www.scopus.com/pages/publications/4644298001#tab=citedBy

U2 - 10.1016/j.tpb.2004.05.005

DO - 10.1016/j.tpb.2004.05.005

M3 - Article

C2 - 15465119

AN - SCOPUS:4644298001

SN - 0040-5809

VL - 66

SP - 175

EP - 184

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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