*Tid:* **18 april 2011 kl 15.15-16.00.**
**Seminarierummet 3721**, Institutionen för
matematik, KTH, Lindstedts väg 25.
Karta!
*Föredragshållare:*
**
Ola Hössjer, Stockholms universitet
**
**Titel:**
Coalescence Theory for a General Class of Structured Populations
with Fast Migration
**Abstract**
A general class of population genetic models is studied where
the total population is divided into a number of subpopulations or
types. Migration between subpopulations is fast. Extending results of
Nordborg and Krone (2002) and Sagitov and Jagers (2005), we prove, as
the total population size tends to infinity, weak convergence of the
joint ancestry of a given sample of haploid individuals in the Skorohood
topology towards Kingman's coalescent with constant change of time
scale. Our framework includes age-structured models, geographically
structured models and combinations thereof. We also allow each
individual to have offspring in several subpopulations, with general
dependency structures between the number of offspring of various types.
As a by-product, very explicit expressions for the coalescent effective
population size are obtained.
Till seminarielistan
To the list of
seminars |