4 papers · 1 filter
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…