  As recently shown, Fermi-LAT measurements of the diffuse gamma-ray emission
from the Galaxy favor the presence of a smooth softening in the primary
cosmic-ray spectrum with increasing Galactocentric distance. This result can be
interpreted in terms of a spatial-dependent rigidity scaling of the diffusion
coefficient. The DRAGON code was used to build a model based on such feature.
That scenario correctly reproduces the latest Fermi-LAT results as well as
local cosmic-ray measurements from PAMELA, AMS-02 and CREAM. Here we show that
the model, if extrapolated at larger energies, grasps both the gamma-ray flux
measured by MILAGRO at 15 TeV and the H.E.S.S. data from the Galactic ridge,
assuming that the cosmic-ray spectral hardening found by those experiments at
about 250 GeV/n is present in the whole inner Galactic plane region. Moreover,
we show as that model also predicts a neutrino emission which may account for a
significant fraction, as well as for the correct spectral shape, of the
astrophysical flux measured by IceCube above 25 TeV.
