Runtiya was closely linked with the deer and his Iron Age epithets Imralli and Imrassi ("The meadow") indicate his connection to hunting.
Divinities are also known from the Bronze Age which were referred to with the Luwian word im(ma)ra- ("field, meadow") and are likely to be linked to this aspect of Runtiya.
The Carian god Imbramos or Imbrasos (Ἴμβρασος) which Stephanus of Byzantium identified with Hermes, probably belongs to this group of deities as well.
Iron Age depictions of Runtiya, like the Karasu relief show him as a beardless god standing on a deer, with a peaked cap and a bow over his shoulder.
It is generally agreed that Runtiya lived on in the cult of Hermes at Korykos in Rough Cilica, especially since the lists of priests of the sanctuary in the nearby grottos of Cennet and Cehennem frequently include Ro(nd)- as part of their personal names.