7 papers
The gene's-eye view of quantitative genetics
Philibert Courau, Amaury Lambert, Emmanuel Schertzer
Modelling the evolution of a continuous trait in a biological population is one of the oldest problems in evolutionary biology, which led to the birth of quantitative genetics. Wit…
Geometry and stability of species complexes: larger species speciate less often
Amaury Lambert, Emmanuel Schertzer, Yannic Wenzel
Species complexes are groups of closely related populations exchanging genes through dispersal. We study the dynamics of the structure of species complexes in a class of metapopula…
Structured coalescents, coagulation equations and multi-type branching processes
Fernando Cordero, Sophia-Marie Mellis, Emmanuel Schertzer
Consider a structured population consisting of colonies, with migration rates proportional to a positive parameter . We sample individuals, distributed evenly across t…
Moments of density-dependent branching processes and their genealogy
Mathilde André, Félix Foutel-Rodier, Emmanuel Schertzer
A density-dependent branching process is a particle system in which individuals reproduce independently, but in a way that depends on the current population size. This feature can…
Non-linear branching processes and Crump-Mode-Jagers processes with interaction
Félix Foutel-Rodier, Emmanuel Schertzer
We consider a class of Crump-Mode-Jagers processes with interaction, constructed by removing a newly born offspring with a probability that depends on the age structure of the popu…
The genealogy of nearly critical branching processes in varying environment
Florin Boenkost, Félix Foutel-Rodier, Emmanuel Schertzer
Building on the spinal decomposition technique in Foutel-Rodier and Schertzer (2022) we prove a Yaglom limit law for the rescaled size of a nearly critical branching process in var…