Occupation doesn't cause terror - it impedes it

When Israel left Southern Lebanon, terror increased in Southern Lebanon.

When Israel left Gaza, terror increased in Gaza.

When Israel turned day-to-day security for the West Bank to Arabs, terror increased in the West Bank.

And now we see annual major terror attacks in the Sinai. Al Qaeda is apprently happily ensconsed in what was once Israeli-controlled land.

People say that terror is a result of "occupation", but, objectively speaking, there is a much stronger correlation between Israel ceding territory and more terror.

Now, why do most people think that this trend will reverse itself if Israel gives up more territory?