We investigate the interplay between gene how and adaptation in periph
eral populations of a widespread species. Models are developed for the
evolution of a quantitative trait under clinally varying selection in
a species whose density decreases from the center of the range to its
periphery. Two major results emerge. First, gene flow from population
s at the range center can be a strong force that inhibits peripheral p
opulations from evolving to their local ecological optima. As a result
, peripheral populations experience persistent directional selection.
Second, response to local selection pressures can cause rapid and subs
tantial evolution when a peripheral population is isolated from gene f
low. The amount of evolutionary change depends on gene flow, selection
, the ecological gradient, and the trait's heritability. Rapid diverge
nce can also occur between the two halves of a formerly continuous pop
ulation that is divided by a vicariant event. A general conclusion is
that disruption of gene how can cause evolutionary divergence, perhaps
leading to speciation, in the absence of contributions from random ge
netic drift.