I've never personally thought about it in terms of whether it's a change in time or space. I don't know that you need to specifically do that, since it behaves the same grammatically in either situation.
くる after a verb in TE-form simply shows that something will become an action or state, or an action or state will continue. There are times when it may become abstract in English, but it behaves the same in any Japanese sentence it is used.
My head has started hurting.
(My head came to a state of hurting, and is still in that state)
I have raised my child on my own.
(I have been doing the action of raising my child up to this point)
The typhoon will be getting close.
(The typhoon will get close, and continue to be close)
These all happen to deal with space or time, but more importantly modify the state of the verb they are attached to. So I think by simply looking at that verb, you should be able to see what it is that's changing.