This is how I imagine Tiberinus would have looked. I'm not sure who the actual statue is meant to be (it was taken in the gardens out the front of a castle built by the mad king Ludwig on an island in the middle of a lake in Bavaria), but it has the kind of wild sollemnity that Virgil describes in these lines from Aeneid VIII:
Huic deus ipse loci fluvio Tiberinus amoeno
populeas inter senior se attollere frondes
visus; eum tenuis glauco velabat amictu
carbasus, et crinis umbrosa tegebat harundo.
tum sic adfari et curas his demere dictis:
populeas inter senior se attollere frondes
visus; eum tenuis glauco velabat amictu
carbasus, et crinis umbrosa tegebat harundo.
tum sic adfari et curas his demere dictis:
'O sate gente deum, Troianam ex hostibus urbem
qui revehis nobis aeternaque Pergama servas,
exspectate solo Laurenti arvisque Latinis,
hic tibi certa domus, certi (ne absiste) penates.'
qui revehis nobis aeternaque Pergama servas,
exspectate solo Laurenti arvisque Latinis,
hic tibi certa domus, certi (ne absiste) penates.'
To this man [Aeneas] the god of that place, old Tiberinus himself, appeared, lifting himself up from his hallowed stream, between the poplar leaves; a thin linen garment cloaked him with its grey-green mantle, and a clump of shady reeds hid his hair. Then the god spoke to him, and took away his worries with these words: 'O seed of the race of the gods, you who brings back to us the Trojan city, and who preserves eternal Pergumum, long-awaited on Laurentine soil, and in the Latin fields, here is a fixed home for you, here (fear not) are your fixed gods.'
[Aeneid VIII.31-39]