Now, we all know the out of universe reason for Jar Jar's ongoing existence, but apart from "he was friends with the Senator and a few Jedi", why would Naboo have risked putting Jar Jar in front of the Galactic Senate as the Gungan representative for Naboo?
In the movies and in every episode of The Clone Wars in which he appears, he does something stupid and by pure dumb luck manages to survive or achieve some random success with his clumsiness rather than any skill as a statesman.
In-universe, I can't see any planetary government wanting him to be the representative for his species. There surely are far more qualified and capable Gungans who would be a far better choice. Jar Jar could have been given some local fiefdom for his part in the liberating of Naboo.
So my question is, What in-universe reason would there be for Naboo choosing Jar Jar Binks to be the Gungan Representative in the Galactic Senate?