Rare long distance dispersal may have little impact on gene frequencie
s in established populations but it can dramatically increase gene flo
w during episodes of range expansion. We model the invasion of new ter
ritory by genetically distinct populations of the same species to inve
stigate the dynamics of such episodes. If long distance dispersal is s
ufficiently frequent, the populations do not spread as a wave of advan
ce but instead found intermingled isolates. We argue that this process
can explain many otherwise puzzling patterns in the geographical dist
ribution of alleles.