There's also some island ranks. After you defeat each Super Boss on an island, your Island Rank increases. This alters a variety of things
First it alters the available CP of the Pokémon you will find in the wild. It increases both the bottom and top capabilities, but you can receive Pokémon above the maximum CP if it's a 5-Star Move Pokémon
Secondly, it also affects the Ore you collect in stages. As your rank increases, the Ore will provide more Gears upon refining.