  We study the tropicalization of the moduli space of algebraic spin curves,
exhibit its combinatorial stratification and prove that the strata are
irreducible. We construct the moduli space of tropical spin curves, prove that
it is isomorphic to the skeleton of the Berkovich analytification of the moduli
space of algebraic spin curves, and give a geometric interpretation of the
retraction map in terms of a tropicalization map.
