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Are there any percentage statistics of natures of wild pokémon you meet ?

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No, but:

>...From Emerald onwards, if the Pokémon with the Ability Synchronize is leading the party, there is a 50% chance of encountering a wild Pokémon with the same nature.

Source: Bulbapedia


So, lets say you want a Modest Liwick. If you have an Espeon with a Modest nature, you can go to Celestial Tower and you have a 1 in 2 chance of finding a Modest Litwaick.

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