Simple food web modules that combine population dynamics with evolutionary trait dynamics

Vlastimil Krivan
Biology Center, Czech Academy of Sciences (AVv CR)

(September 10, 2013 10:20 AM - 11:15 AM)

Simple food web modules that combine population dynamics with evolutionary trait dynamics

Abstract

In my talk I will discuss several simple food web modules that combine population dynamics with evolutionary trait dynamics. Classical food web modules (e.g., trophic chain, exploitative competition, apparent competition, intraguild predation etc.) have proved to be instrumental in our understanding of mechanisms regulating biodiversity. These simple food web modules assume that the interaction strength between species is fixed. In other words, they do not consider various individual adaptations to changing environment. Because decisions an individual has to make often depend on what the others are doing, the optimal strategies require game theoretical framework. The two times scales involved in these models (demographic and evolutionary) lead to two possible scalings that simplify resulting models. The approach that assumes trait dynamics operate on a slower time scale when compared with population dynamics led to the so-called "adaptive dynamics". When trait dynamics operate on much faster time scale, the resulting models are described by control system (where controls describe traits) with state dependent feedbacks. As these feedbacks are often multivalued, the population dynamics are described by a differential inclusion. In my talk I will show how models that combine population with evolutionary dynamics change our understanding of mechanisms of biodiversity in simple food web modules.