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Island Population Model

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Igor Siveroni edited this page Nov 22, 2017 · 23 revisions

The Island Population Model

The island population model is characterised by constant population sizes, and constant birth and migration rates. The island model takes as input the effective population sizes (Ne) of each deme and the rates of migration with demes. The birth (F) and migration (G) rates array components are defined by the following formulas.

Island Model Equations

The value of xF does not affect the value of the structured tree likelihood.

A PhyDyn XML island model takes as input:

  • demes: Deme names.
  • Ne: Effective population sizes.
  • migRates: Migration rates matrix, as taken by the coalescent process. Note that this corresponds to the matrix M in the formula above (backward rates), as opposed to G, which correspond to the forward migration rates of the population process.
<model spec='PopModelIsland' id='<ID>' demes="<ID>+"
   Ne = "<DOUBLE>+" migRates="<DOUBLE>+" xF="100"
   t0="<DOUBLE>" t1="<DOUBLE>" >
</model>

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