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

Tropicalizing the moduli space of spin curves