Ulf Dieckmann
Stochastic models of evolution and their deterministic
approximations
In the quest for understanding the structure of biological
populations and communities, ecology and evolution are linked
inevitably and intricately, with frequency- and
density-dependent selection pressures playing key roles.
Adaptive dynamics theory is a theoretical framework for analyzing
the density- and frequency-dependent evolution of quantitative
traits, based on a general approach to deriving fitness
functions, selection pressures, and evolutionary dynamics from
the underlying individual-based stochastic ecological
interactions and population dynamics. Models of adaptive
dynamics are classified according to two main dichotomies:
stochastic vs. deterministic, and polymorphic vs. monomorphic.
The resultant four fundamental types of adaptive dynamics will
be reviewed, and their derivations, advantages, and shortcoming
will be discussed. The talk will then explain how selection
pressures may drive the increase or decrease of species numbers
in ecological communities, before highlighting several specific
examples of community evolution models based on adaptive
dynamics theory.
Suggested reading:
Dieckmann U & Ferriere R (2004). Adaptive dynamics and evolving
biodiversity. In: Evolutionary Conservation Biology, eds.
Ferrire R, Dieckmann U & Couvet D, pp. 188?224. Cambridge
University Press
www.iiasa.ac.at/~dieckman/reprints/DieckmannFerriere2004.pdf