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The coalescent point process of multi-type branching trees

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  • Popovic, Lea
  • Rivas, Mariolys

Abstract

We define a multi-type coalescent point process of a general branching process with countably many types. This multi-type coalescent fully describes the genealogy of the (quasi-stationary) standing population providing types along ancestral lineages of all individuals in the standing population. We show that the coalescent process is a functional of a certain Markov chain defined by the planar embedding of the multi-type branching process.

Suggested Citation

  • Popovic, Lea & Rivas, Mariolys, 2014. "The coalescent point process of multi-type branching trees," Stochastic Processes and their Applications, Elsevier, vol. 124(12), pages 4120-4148.
    • Handle: RePEc:eee:spapps:v:124:y:2014:i:12:p:4120-4148
    DOI: 10.1016/j.spa.2014.07.018
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    References listed on IDEAS

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    1. Sagitov, Serik, 2013. "Linear-fractional branching processes with countably many types," Stochastic Processes and their Applications, Elsevier, vol. 123(8), pages 2940-2956.
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    Cited by:

    1. Möhle, Martin, 2024. "On multi-type Cannings models and multi-type exchangeable coalescents," Theoretical Population Biology, Elsevier, vol. 156(C), pages 103-116.

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