4 papers · 1 filter
Multitype -coalescents and continuous state branching processes
Adrián González Casanova, Noemi Kurt, Imanol Nuñez Morales +1
We provide new connections between multitype -coalescents and multitype continuous state branching processes via duality and a homeomorphism on their parameter space. The approa…
-coalescents arising in populations with dormancy
Fernando Cordero, Adrián González Casanova, Jason Schweinsberg +1
Consider a population evolving from year to year through three seasons: spring, summer and winter. Every spring starts with dormant individuals waking up independently of each…
The shape of a seed bank tree
Adrián González Casanova, Lizbeth Peñaloza, Arno Siri-Jégousse
We derive the asymptotic behavior of the total, active and inactive branch lengths of the seed bank coalescent, when the size of the initial sample grows to infinity. Those random…
Multidimensional -Wright-Fisher processes with general frequency-dependent selection
Adrian Gonzalez Casanova, Charline Smadi
We construct a constant size population model allowing for general selective interactions and extreme reproductive events. It generalizes the idea of (Krone and Neuhauser 1997) who…