The goal of this course is to present a series of elementary stochastic models from population dynamics capable of describing rudimentary aspects of DNA-sequence evolution. Most of the course focusses on the Wright-Fisher model and its variations. In this model, alleles are represented by individuals living in colonies and changing type over the course of time. A large part of the course deals with populations living in a single colony subject to resampling, mutation and/or selection. Towards the end of the course populations living in many colonies subject to migration are described. A key notion is that of the Kingman coalescent, which arises when the genealogy of the population is traced backwards in time. This notion is the key to building up a coherent theory. No prior knowledge of genetics is required. Basic knowledge of probability theory is needed, in particular, properties of Markov chains and the Poisson process.

**Literature**

R. Durrett, Probability Models for DNA Sequence Evolution, Springer, New York, 2002. (Herziene versie is beschikbaar.) F. den Hollander, Stochastic Models for Genetic Evolution, collegediktaat, December 2005.