Understanding clustering in type space using field theoretic techniques
| dc.creator | Lawson, Daniel John | |
| dc.creator | Jensen, Henrik Jeldtoft | |
| dc.date | 2007-11-19 | |
| dc.date.accessioned | 2026-07-07T08:43:44Z | |
| dc.date.available | 2026-07-07T08:43:44Z | |
| dc.description | The birth/death process with mutation describes the evolution of a population, and displays rich dynamics including clustering and fluctuations. We discuss an analytical `field-theoretical' approach to the birth/death process, using a simple dimensional analysis argument to describe evolution as a `Super-Brownian Motion' in the infinite population limit. The field theory technique provides corrections to this for large but finite population, and an exact description at arbitrary population size. This allows a characterisation of the difference between the evolution of a phenotype, for which strong local clustering is observed, and a genotype for which distributions are more dispersed. We describe the approach with sufficient detail for non-specialists. | |
| dc.description | Accepted, Bulletin of Mathematical Biology | |
| dc.identifier | https://arxiv.org/abs/0711.2911 | |
| dc.identifier | http://arxiv.org/abs/0711.2911 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142421 | |
| dc.subject | Populations and Evolution | |
| dc.subject | Quantitative Methods | |
| dc.title | Understanding clustering in type space using field theoretic techniques | |
| dc.type | text |