Rate of coalescence of lineage pairs in the Spatial Λ -Fleming–Viot process - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Journal Articles Theoretical Population Biology Year : 2022

Rate of coalescence of lineage pairs in the Spatial Λ -Fleming–Viot process

Abstract

We revisit the spatial λ-Fleming-Viot process introduced in [1]. Particularly, we are interested in the time T0 to the most recent common ancestor for two lineages. We distinguish between the case where the process acts on the entire two-dimensional plane, and on a finite rectangle. Utilizing a differential equation linking T0 with the physical distance between the lineages, we arrive at simple and reasonably accurate approximation schemes for both cases. Furthermore, our analysis enables us to address the question of whether the genealogical process of the model "comes down from infinity", which has been partly answered before in [2].
Fichier principal
Vignette du fichier
2109.05833.pdf (760.53 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

lirmm-03875375 , version 1 (17-10-2023)

Licence

Attribution

Identifiers

Cite

Johannes Wirtz, Stéphane Guindon. Rate of coalescence of lineage pairs in the Spatial Λ -Fleming–Viot process. Theoretical Population Biology, 2022, 146, pp.15-28. ⟨10.1016/j.tpb.2022.05.002⟩. ⟨lirmm-03875375⟩
18 View
4 Download

Altmetric

Share

Gmail Facebook X LinkedIn More