is there some notion of  locality  in either dimension such that a thing and the thing next to it have more relation than the thing and the thing 100 places further?

I am not too sure.

Do you expect your prediction to depend on the relation between them?

Yes, I believe there is but this is my goal, to prove there is such a relationship.
Ah I see. I will try to get it working and see if anything comes up.
Thank you Thomas,
Michael