Stepping stone models for population growth
- 1 March 1974
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 11 (1) , 16-31
- https://doi.org/10.2307/3212579
Abstract
A population is composed of an infinite number of colonies situated at the integer points of a single co-ordinate axis. Each colony develops according to a simple birth and death process and migration is allowed between nearest neighbours. An approximate solution is obtained for the probability structure of the population size, and exact results are derived for the process when immigration is introduced into a single colony from outside the system.Keywords
This publication has 19 references indexed in Scilit:
- Interconnected population processesJournal of Applied Probability, 1973
- Stochastic Compartmental Analysis: Model and Least Squares Estimation from Time Series DataPublished by JSTOR ,1971
- Migratory populations in branching processesJournal of Applied Probability, 1970
- Stepping stone models of finite lengthAdvances in Applied Probability, 1970
- Genetic correlation in the stepping stone model with non-symmetrical migration ratesJournal of Applied Probability, 1969
- Interconnected birth and death processesJournal of Applied Probability, 1968
- Branching-diffusion processes with no absorbing boundaries. IIJournal of Mathematical Analysis and Applications, 1967
- On the theory of birth, death and diffusion processesJournal of Applied Probability, 1965
- The generalized birth and death process and Gaussian diffusionJournal of Mathematical Analysis and Applications, 1964
- On a Multicompartment Migration Model with Chronic FeedingPublished by JSTOR ,1960