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Adaptive dynamics
Milano Leonardo, II sem. (082949, 2.5 crediti)

Given by Professor Stefan A. H. Geritz
Department of Mathematics and Statistics, University of Helsinki, Finland
(homepage, stefan.geritz@helsinki.fi)

General information

Time schedule
Thu, Fri, and Sat 21-23/05/2009
9.30-12.30, 14.30-17.30
Conference room of the Department of Electronics and Information (DEI), Politecnico di Milano
via Ponzio 34/5, 20133 Milano.



Adaptive dynamics (AD) is a mathematical theory that explicitly links population dynamics to long-term evolution driven by mutation and selection, and hence incorporates processes on two different time scales: a fast ecological time scale and a slow evolutionary time scale. This course is an introduction to the mathematical theory of adaptive dynamics and its applications. The aim of the course is to provide the student with enough theory and techniques to analyze the dynamics of adaptation in various classes of ecological models.


Teaching Material


S. A. H. Geritz, E. Kisdi, G. Mesz\'ena, and J. A. J. Metz, Evolutionarily singular strategies and the adaptive growth and branching of the evolutionary tree, Evol. Ecol. 12, 35-57, 1998 (pdf).

U. Dieckmann and R. Law, The dynamical theory of coevolution: A derivation from stochastic ecological processes, J. Math. Biol. 34, 579--612, 1996 (pdf).

S. A. H. Geritz, E. Kisdi, E. van der Meijden, and J. A. J. Metz, Evolutionarily dynamics of seed size and seedling competitive ability, Theor. Popul. Biol. 55, 324-343, 1999 (pdf).

S. A. H. Geritz, E. Kisdi, and Ping Yan, Evolutionary branching and long-term coexistence of cycling predators: Critical function analysis, Theor. Popul. Biol. 71, 424-435, 2007 (pdf).

Lecture notes

Demonstration projects (pdf-zip, mathematica-files-zip).

Additional demonstration material (zip).

Student projects (zip).

Further readings

F. Dercole and S. Rinaldi, Analysis of Evolutionary Processes: The Adaptive Dynamics Approach and its Applications, Princeton University Press, 2008.

J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics, Cambridge University Press, Cambridge, MA, 1998.



The following rules are valid for both Master (laurea specialistica) and Ph.D. students:


Student hours

On appointment or by email.




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