no code implementations • 23 Jul 2019 • Florin Boenkost, Adrián González Casanova, Cornelia Pokalyuk, Anton Wakolbinger
We introduce a Cannings model with directional selection via a paintbox construction and establish a strong duality with the line counting process of a new \emph{Cannings ancestral selection graph} in discrete time.
Probability
no code implementations • 16 Sep 2021 • María Emilia Caballero, Adrián González Casanova, José Luis Pérez
We derive properties of this process and obtain a large population limit when the total size of each island tends to infinity.
no code implementations • 1 Jun 2023 • Jan Lukas Igelbrink, Adrián González Casanova, Charline Smadi, Anton Wakolbinger
Inspired by the work of Etheridge et al. ([EPW09]) we propose a parameter scaling which fits well to the ``near-critical'' regime that was in the focus of [EPW09] (and in which the mutation-selection ratio diverges logarithmically as $N\to \infty$).
