In terms of temperature, yes. Early climate models correctly predicted that warming would be concentrated at the poles, for example:

https://en.wikipedia.org/wiki/History_of_climate_change_scie...

>Also in 1969, Mikhail Budyko published a theory on the ice–albedo feedback, a foundational element of what is today known as Arctic amplification.

This is generally confirmed by observations, as seen in the graph:

https://en.wikipedia.org/wiki/Polar_amplification

I assume four decades should be enough. I don't know about precipitation modeling, that stuff's really hard and the variance is huge.