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I kind of doubt that emergent properties can be modeled.

Surely if you model the non-emergent properties well enough the emergent properties will arise anyway

That's the problem, you can't know if you missed any in a simulated model.

Depends if you think the universe is deterministic or not I guess.

Even if it is, emergent properties can't be deduced from their precursors. The whole is greater (or lesser) than the sum of the parts.