Does Zapdos change its stats each encounter in X and Y?

Question

So does Zapdos change its stats each time you encounter it?

Answer 1

No.

The stats are set the first time you encounter a roaming Pokemon and do not change. That is because it's still the same Pokemon you're encountering, not a different one.

Comments

so if zapdos was shiny for the first encouter it would be shiny for all of them?

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I don't think it would be shiny every time. That uses a different mechanic.

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ok, thanks

Answer 2

There's no way to prove this as you can not battle zapdos as it always flees, but it doesn't actually matter anyway as you can't do anything about it.
But if you mean soft resetting in sea spirit den, then, yes the IVs and natures change every time you soft reset.

Hope I helped :)