The geometric spreading in plumes and in the interplume region in coro
nal holes is calculated, using analytic and numerical theoretical mode
ls, between 1.0 and 5.0 R-.. We apply a two-scale approximation that p
ermits the rapid local spreading at the base of plumes (fi) to be eval
uated separately from the global spreading (f(g)) imposed by coronal h
ole geometry. We show that fi can be computed from a potential-field m
odel and f(g) can be computed from global magnetohydrodynamic simulati
ons of coronal structure. The approximations are valid when the plasma
beta is small with respect to unity and for a plume separation small
with respect to a solar radius.