The coalescent process in a population with stochastically varying size
- 1 March 2003
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 40 (1) , 33-48
- https://doi.org/10.1239/jap/1044476826
Abstract
We study the genealogical structure of a population with stochastically fluctuating size. If such fluctuations, after suitable rescaling, can be approximated by a nice continuous-time process, we prove weak convergence in the Skorokhod topology of the scaled ancestral process to a stochastic time change of Kingman's coalescent, the time change being given by an additive functional of the limiting backward size process.Keywords
This publication has 10 references indexed in Scilit:
- Separation of Time Scales and Convergence to the Coalescent in Structured PopulationsPublished by Oxford University Press (OUP) ,2002
- The coalescent in population models with time-inhomogeneous environmentStochastic Processes and their Applications, 2002
- Coalescent theory for seed bank modelsJournal of Applied Probability, 2001
- Ancestral Processes in Population Genetics—the CoalescentJournal of Theoretical Biology, 2000
- Particle Representations for Measure-Valued Population ModelsThe Annals of Probability, 1999
- Sampling theory for neutral alleles in a varying environmentPhilosophical Transactions Of The Royal Society B-Biological Sciences, 1994
- A genealogical approach to variable-population-size models in population geneticsJournal of Applied Probability, 1986
- Markov ProcessesPublished by Wiley ,1986
- Line-of-descent and genealogical processes, and their applications in population genetics modelsTheoretical Population Biology, 1984
- The coalescentStochastic Processes and their Applications, 1982