Convergence of genealogies through spinal decomposition with an application to population genetics
F Foutel-Rodier, E Schertzer - Probability Theory and Related Fields, 2023 - Springer
Consider a branching Markov process with values in some general type space. Conditional
on survival up to generation N, the genealogy of the extant population defines a random …
on survival up to generation N, the genealogy of the extant population defines a random …
The coalescent structure of uniform and Poisson samples from multitype branching processes
SGG Johnston, A Lambert - The Annals of Applied Probability, 2023 - projecteuclid.org
We introduce a Poissonization method to study the coalescent structure of uniform samples
from branching processes. This method relies on the simple observation that a uniform …
from branching processes. This method relies on the simple observation that a uniform …
[HTML][HTML] On multi-type Cannings models and multi-type exchangeable coalescents
M Möhle - Theoretical Population Biology, 2024 - Elsevier
A multi-type neutral Cannings population model with migration and fixed subpopulation
sizes is analyzed. Under appropriate conditions, as all subpopulation sizes tend to infinity …
sizes is analyzed. Under appropriate conditions, as all subpopulation sizes tend to infinity …
Coalescent point process of branching trees in a varying environment
Consider an arbitrary large population at the present time, originated at an unspecified
arbitrary large time in the past, where individuals within the same generation independently …
arbitrary large time in the past, where individuals within the same generation independently …
Topology and inference for Yule trees with multiple states
L Popovic, M Rivas - Journal of mathematical biology, 2016 - Springer
We introduce two models for random trees with multiple states motivated by studies of trait
dependence in the evolution of species. Our discrete time model, the multiple state ERM …
dependence in the evolution of species. Our discrete time model, the multiple state ERM …
[PDF][PDF] Sur ng in population genetics
E Schertzer - cirm-math.fr
Surfing in population genetics Page 1 Sur ng in population genetics Emmanuel Schertzer
University of Vienna Page 2 joint work with ... Figure: Julie Tourniaire (U. Wien/ISTA), Felix …
University of Vienna Page 2 joint work with ... Figure: Julie Tourniaire (U. Wien/ISTA), Felix …
Topology and inference for multi-type Yule trees
L Popovic, M Rivas - arXiv preprint arXiv:1409.2957, 2014 - arxiv.org
We introduce two models for multi-type random trees motivated by studies of trait
dependence in the evolution of species. Our discrete time model, the multi-type ERM tree, is …
dependence in the evolution of species. Our discrete time model, the multi-type ERM tree, is …