These particular space-time lines are designed to show, not the movement of things in time, but to show events over time associated with specific places (lots).
A more sophisticated version of this idea would have four dimensions (and would facilitate visualizing the movement of things and persons in space).
But some or many events associated with specific places happen in other places. Tricky complications.
The dynamic evidence page
Evidence marshaling software MarshalPlan
It's here: the law of evidence on Spindle Law. See also this post and this post.