Appears in collection : 2022 - T1 - WS3 - Mathematical models in ecology and evolution

Our understanding of the evolution of quantitative traits in nature is still limited by the challenge of including realistic trait distributions in the context of frequency-dependent selection and ecological feedbacks. In this talk, I will discuss a recently introduced "oligo-morphic approximation" which bridges the gap between adaptive dynamics and quantitative genetics approaches and allows for the joint description of the dynamics of ecological variables and of the moments of multimodal trait distributions. My talk will focus on two main points : (1) time scales, that is how this approach can be used to predict both the long-term evolutionary endpoints and the short-term transient dynamics of the eco-evolutionary process, and (2) population structure, that is how the concept of reproductive value can be used to obtain a lower-dimensional approximation of the dynamics of class-structured populations.