Mathematical theory of population genetics, fall 2012
Population genetics studies the genetic composition of biological populations, and its change under the influence of various factors, including natural selection, mutation, recombination and migration. Population genetics thus provides the basis for understanding the evolutionary processes that have led to the biodiversity we encounter today.
In this course we get familiar with focal concepts and build a theoretical framework to gain proper understanding of the relevant evolutionary processes. Course will cover elementary population genetics (e.g. Hardy-Weinberg law, selection at single locus), mutation-selection models at two or more loci, equations for quantitative traits under selection and basic principles of coalescent theory.
Basic knowledge of dynamical equations (discrete dynamical systems and differential equations) and probability theory.
Weeks 36-42 and 44-50, Monday 14-16 in room C122 (note the change!) and Wednesday 14-16 in room B322. Two hours of exercise classes per week.
Note! Monday lecture 26.11 cancelled.
Date, time and place: 17.12.2012, 14.15 - 16.00, room C122.
Lecture notes will be mainly based on the book by Burger (2000): The mathematical theory of selection, recombination and mutation, and on the book by Wakeley (2009): Coalescent theory: an introduction.
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5.9. Introductory lecture. Slides 1
12.9. Average effects
24.9. Selection models - part I
26.9. Selection models - part II
1.10. Protected coexistence - part I
3.10. Protected coexistence - part II
Lecture notes Slides Exercises Solutions
Appendix I Perron-Frobenius - stability