%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 }