Adaptive dynamics, fall 2010
- Tuesday, December 7, was the last lecture of this course.
Some acquaintance with (systems of) ordinary differential equations would come in handy.
Weeks 37-42 and 44-50, Tue 14-16 in room B321, Thursday 14-16 in room B322.
1.2 Introduction (recap);
2 A MORE GENERAL THEORY OF ADAPTIVE DYNAMICS:
2.1 The ecological timescale:
2.2. The evolutionary timescale:
3. FURTHER GENERALIZATIONS:
4. SPECIAL TOPICS AND CASE STUDIES:
4.2.1 Critical function analysis;
Dieckmann & Law (1996) Journal of Mathematical Biology 34: 579-612 (About: derivation of the 'canonical equation' of adaptive dynamics),
Geritz et al. (1998) Evolutionary Ecology 12: 35-57 (About: the basic AD framework: classification of singularities and isoclines),
Geritz et al. (1999) Theoretical Population Biology 55: 324-343 (About, in particular in the Appendix: the connection of the isoclines to the boundary of the coexistence set),
Geritz et al. (2002) Journal of Mathematical Biology 44: 548-560 (About: resident-invader dynamics for similar strategies; the case of multiple resident population attractors),
Geritz (2005) Journal of Mathematical Biology 50: 67-82 (About: resident-invader dynamics for similar strategies; four basic kinds of outcomes),
Gyllenberg & Parvinen (2001) Bulletin of Mathematical Biology 63: 981-993 (About: evolutionary suicide),
Meszena et al. (2005) Physical Review Letters 95: 078105 (About:resident-invader dynamics for similar strategies; the time-scale separation argument),
These are all the exercises. The remaining time of the course you are supposed to work on one of projects listed see below (see under the heading "Projects").
The exam will be in the form of a project (= advanced exercise) or article reading plus discussion. Please, contact the lecturer to make your preference clear.
- Choose one project and hand in the completed project before the end of January 2011. When you hand in the project we make an appointment to discuss the results.
- We have reserved computer room C128 on Fridays from 14-16 for you to work on the projects. The assistant will be there for at least 15 minutes to help you if need be. If nobody shows up during that time, I can find him in his office B425.
- Here are some worked out examples (in Mathematica) to show what you are supposed to be able to do. We've seen these examples already during the lectures or the exercises:
Jaakko Toivonen & Paolo Muratore Ginanneschi