  We define quasi-coherent parabolic sheaves with real weights on a fine
saturated log analytic space, and explain how to interpret them as
quasi-coherent sheaves of modules on its Kato-Nakayama space. This recovers the
description as sheaves on root stacks of arXiv:1001.0466 and arXiv:1410.1164
for rational weights, but also includes the case of arbitrary real weights.
