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- Title
Understanding Clustering in Type Space Using Field Theoretic Techniques.
- Authors
Lawson, Daniel John; Jensen, Henrik Jeldtoft
- Abstract
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.
- Subjects
FIELD theory (Physics); GENETIC mutation; POPULATION; CLUSTER theory (Nuclear physics); FLUCTUATIONS (Physics); CHILDBIRTH; DEATH; DIMENSIONAL analysis
- Publication
Bulletin of Mathematical Biology, 2008, Vol 70, Issue 4, p1065
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-007-9290-1