The coalescent of a sample from a binary branching process
Abstract
At time 0, start a time-continuous binary branching process, where particles give birth to a single particle independently (at a possibly time-dependent rate) and die independently (at a possibly time-dependent and age-dependent rate). A particular case is the classical birth–death process. Stop this process at time
- Publication:
-
Theoretical Population Biology
- Pub Date:
- July 2018
- DOI:
- 10.1016/j.tpb.2018.04.005
- arXiv:
- arXiv:1710.02220
- Bibcode:
- 2018TPBio.122...30L
- Keywords:
-
- primary;
- 60J80;
- secondary;
- 60-06;
- 60J85;
- 60G09;
- 92D25;
- 92D10;
- 92D15;
- Splitting tree;
- Random tree;
- Birth–death process;
- Incomplete sampling;
- Coalescent point process;
- Finite exchangeable sequence.;
- Mathematics - Probability;
- Quantitative Biology - Populations and Evolution;
- 60J80;
- 60J85;
- 60G09;
- 92D25;
- 92D10;
- 92D15
- E-Print:
- 19 pages, 1 figure, submitted to a special issue of Theoretical Population Biology in memory of Paul Joyce