In the framework of heterotic compactifications, we consider the one-l
oop corrections to the gauge couplings, which were shown to be free of
any infra-red ambiguity. For a class of N = 2 models, namely those th
at are obtained by toroidal compactification to four dimensions of gen
eric six-dimensional N = 1 ground states, we give an explicit formula
for the gauge-group-independent thresholds, and show that these are eq
ual within this class, as a consequence of an anomaly cancellation con
straint in six dimensions. We further use these results to compute the
(N = 2)- sector contributions to the thresholds of N = 1 orbifolds. W
e then consider the full contribution of N = 1 sectors to the gauge co
uplings, which generically are expected to modify the unification pict
ure. We compute such corrections in several models. We finally comment
on the effect of such contributions to the issue of string unificatio
n.