When the event is a coalescence, the deme is picked at random given that demes with more ancestral lineages have a greater chance of experiencing a coalescent event (the chance that deme j experiences the coalescence is kj (kj - 1) 2

Figure 4.19 shows two realizations of the combined coalescence and migration process when the migration rate is either relatively high or relatively low. The times to each event are determined by the exponential distributions specified by equation 4.70.

The average length of a genealogy with migration

Before determining the average time to coalescence for a genealogy in a structured population, it is first necessary to introduce some notation that is useful to describe the different possible locations of lineages d

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