  We extend results by Mirzakhani in [Mir07] to moduli spaces of Hurwitz
covers. In particular we obtain equations relating Weil-Petersson volumes of
moduli spaces of Hurwitz covers, Hurwitz numbers and certain Hurwitz cycles on
Deligne-Mumford space related to those Riemann surfaces admitting Hurwitz
covers of a specified branching profile. We state the precise orbifold
structure of the moduli space of Hurwitz covers by applying ideas and results
from Robbin-Salamon in arXiv:math/0407090. Furthermore we prove compactness of
the involved moduli spaces by applying SFT-compactness in the Cieliebak-Mohnke
version from [CM05].
