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We show that many topological features of level-1 species networks areidentifiable from the distribution of the gene tree quartets under the networkmulti-species coalescent model. In particular, every cycle of size at least 4and every hybrid node in a cycle of size at least 5 is identifiable. This is astep toward justifying the inference of such networks which was recentlyimplemented by Sol\'is-Lemus and An\'e. We show additionally how to computequartet concordance factors for a network in terms of simpler networks, andexplore some circumstances in which cycles of size 3 and hybrid nodes in4-cycles can be detected.

Identifying species network features from gene tree quartets under the coalescent model