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.
Description
Stochasticity, invasions, and branching random walks
%0 Journal Article
%1 Kot:2004:Theor-Popul-Biol:15465119
%A Kot, M
%A Medlock, J
%A Reluga, T
%A Walton, D B
%D 2004
%J Theor Popul Biol
%K Fisher-KPP branching_processes integro-difference invasions travelling_wave
%N 3
%P 175-184
%R 10.1016/j.tpb.2004.05.005
%T Stochasticity, invasions, and branching random walks
%U http://dx.doi.org/10.1016/j.tpb.2004.05.005
%V 66
%X 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.
@article{Kot:2004:Theor-Popul-Biol:15465119,
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.},
added-at = {2009-09-17T00:21:58.000+0200},
author = {Kot, M and Medlock, J and Reluga, T and Walton, D B},
biburl = {https://www.bibsonomy.org/bibtex/24192425930bea0eaba903e4b5782c464/peter.ralph},
description = {Stochasticity, invasions, and branching random walks},
doi = {10.1016/j.tpb.2004.05.005},
interhash = {2be657bf47277e9fe26a3ff7bc1285d3},
intrahash = {4192425930bea0eaba903e4b5782c464},
journal = {Theor Popul Biol},
keywords = {Fisher-KPP branching_processes integro-difference invasions travelling_wave},
month = Nov,
number = 3,
pages = {175-184},
pmid = {15465119},
timestamp = {2013-09-12T22:23:01.000+0200},
title = {Stochasticity, invasions, and branching random walks},
url = {http://dx.doi.org/10.1016/j.tpb.2004.05.005},
volume = 66,
year = 2004
}