In population genetics, 'migration'
is gene flow among
populations, rather than periodic movement of
individuals between one place and another. In the simplest
model [left], the migration rate (m) is measured as the fraction
of alleles in the target population (tan) that are newly
arrived from the source population (brown). Migration is
unidirectional, and changes in the source population are
ignored.
(A) The Mainland
/ Island Model assumes that multiple
offshore islands receive unidirectional migration from
the Mainland. (B) The Island Model
assumes that a species is divided into multiple
sub-populations, each of which is connected to all of
the others (this resembles an island archipelago).
(C) The alternative Stepping-Stone
Model assumes that sub-populations are connected
only to adjacent sub-populations, in a nearest-neighbor
grid. (D) Path Model assumes that each
sub-population is connected only to those on either side
of it, in linear sequence.
A more complex model [right] uses
different allele frequencies q and different
migration rates m among islands to model more
complex results.
The models are drawn so as to suggest land
islands surrounded by water. They are
however equally applicable to ponds / lakes connected
by watercourses. Model D in is readily
adapted to a River model
with unidirectional migration due to downstream
flow.