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Ancestral lines under selection
06 Juni
16:00 Uhr - 17:00 Uhr
Institute for Genetics, lecture hall, 4th floor
Zülpicher Str. 47a
50674 Cologne

Link: http://lageplan.uni-koeln.de/#!301

Seminar  in Probabilistic Structures in Evolution.

Speaker: Ellen Baake, Universität Bielefeld

We review recent progress on ancestral processes related to mutationselection models in the deterministic limit. We mainly rely on two concepts, namely, the killed ancestral selection graph and the pruned lookdown ancestral selection graph. The killed ancestral selection graph gives a representation of the type of a random individual from a stationary population, based upon the individual’s potential ancestry back until the mutations that define the individual’s type. The pruned lookdown ancestral selection graph allows to trace the ancestry of individuals from a stationary distribution back into the distant past, thus leading to the stationary distribution of ancestral types. We illustrate the results by applying them to a prototype model for the error threshold phenomenon.
[1] E. Baake, F. Cordero, S. Hummel, A probabilistic view on the deterministic mutationselection equation: dynamics, equilibria, and ancestry via individual lines of descent, J. Math. Biol., appeared online first [2] E. Baake, A. Wakolbinger, Lines of descent under selection, J. Stat. Phys., appeared online first

Joachim Krug, Institut für Biophysik und
Thomas Wiehe, Institut für Genetik