%0 Journal Article %1 etheridge2004survival %A Etheridge, A. M. %D 2004 %I The Institute of Mathematical Statistics %J Ann. Appl. Probab. %K demographic_models density-dependent_regulation extinction-persistence population_growth_rate spatial_population_genetics superprocesses %N 1 %P 188--214 %R 10.1214/aoap/1075828051 %T Survival and extinction in a locally regulated population %U http://dx.doi.org/10.1214/aoap/1075828051 %V 14 %X Bolker and Pacala recently introduced a model of an evolving population in which an individual’s fecundity is reduced in proportion to the “local population density.” We consider two versions of this model and prove complementary extinction/persistence results, one for each version. Roughly, if individuals in the population disperse sufficiently quickly relative to the range of the interaction induced by the density dependent regulation, then the population has positive chance of survival, whereas, if they do not, then the population will die out.

@article{etheridge2004survival, abstract = {Bolker and Pacala recently introduced a model of an evolving population in which an individual’s fecundity is reduced in proportion to the “local population density.” We consider two versions of this model and prove complementary extinction/persistence results, one for each version. Roughly, if individuals in the population disperse sufficiently quickly relative to the range of the interaction induced by the density dependent regulation, then the population has positive chance of survival, whereas, if they do not, then the population will die out.}, added-at = {2016-09-17T11:56:13.000+0200}, author = {Etheridge, A. M.}, biburl = {https://www.bibsonomy.org/bibtex/2a543a4216619157eee3347b97d2c0a9a/peter.ralph}, doi = {10.1214/aoap/1075828051}, fjournal = {The Annals of Applied Probability}, interhash = {8d5298c8915db5977a1d2c93e5cd2178}, intrahash = {a543a4216619157eee3347b97d2c0a9a}, journal = {Ann. Appl. Probab.}, keywords = {demographic_models density-dependent_regulation extinction-persistence population_growth_rate spatial_population_genetics superprocesses}, month = {02}, number = 1, pages = {188--214}, publisher = {The Institute of Mathematical Statistics}, timestamp = {2016-09-17T11:56:13.000+0200}, title = {Survival and extinction in a locally regulated population}, url = {http://dx.doi.org/10.1214/aoap/1075828051}, volume = 14, year = 2004 }