Molecular clouds show complex structure, often characterized as fractal. Th
is review summarizes the recent attempts to quantify the observed structure
of interstellar clouds, resulting in the complementary scenarios of a clum
p ensemble with a power law mass spectrum and a power law mass size relatio
n on one hand, and a fractional Brownian motion structure on the other. Due
to the broken up structure of interstellar clouds, the interaction between
the ambient external radiation field and the molecular cloud, as described
within the framework of photodissociation regions (PDRs), is crucial and i
n fact makes it possible to understand several aspects of the global emissi
on properties of Milky Way clouds in the main tracers of the dense ISM, the
[CII], [CI] and CO far-IR and mm-wave lines. These results are relevant fo
r the proper interpretation of extragalactic far-IR and submm line observat
ions which will become available in large quantity within the next years.