  We consider generic 1-parameter unfoldings of parabolic vector fields. It is
known that the box dimension of orbits of their time-one maps is discontinuous
at the bifurcation value. Here, we expand asymptotically the Lebesgue measure
of the epsilon-neighborhoods of orbits of the time-one maps in a Chebyshev
scale, uniformly with respect to the bifurcation parameter. We use the
so-called Ecalle-Roussarie-type compensators. We read from the expansion the
number of hyperbolic points born in the unfolding of the parabolic point (i.e.
the codimension of the bifurcation).
