Lambda coalescent trees and graphs

Event status:

This talk will describe Lambda coalescent trees, how they relate to a population of individuals, and a connection with the Wright-Fisher diffusion.

Date:
Thursday 30 April 2020 11:00 am until Thursday 30 April 2020 12:00 pm (Add to calendar)
Contact:
Andriy Olenko
a.olenko@latrobe.edu.au; 03 9479 2609
Presented by:
Prof Robert Griffiths, Monash University
Type of Event:
Seminar/Workshop/Training
Cost:
Free

Abstract:

The Lambda coalescent introduced by Pitman (1999) and Sagitov (1999) is a  random tree which has multiple mergers. It is a dual to a  Lambda-Fleming-Viot process which describes a population of individuals with births and deaths, where a single individual's children can contribute a large proportion of the population. The  population process has jumps at times where individuals give birth. The  Wright-Fisher diffusion in contrast, being  a diffusion, is continuous over time. The Kingman coalescent, a random binary tree,   is dual to the Wright-Fisher diffusion.

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