  We study the effect of absorptive corrections due to parton recombination on
the parton distributions of the proton. A more precise version of the GLRMQ
equations, which account for non-linear corrections to DGLAP evolution, is
derived. An analysis of HERA F_2 data shows that the small-x gluon distribution
is enhanced at low scales when the absorptive effects are included, such that a
negative gluon distribution at 1 GeV is no longer required.
