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Statistical tests for spatial line patterns?

There are plenty of tests for spatial point patterns that can be used to determine if points are distributed randomly or not, but are there any established tests for spatial line patterns? (I'm thinking straight lines, with just start and end point and no intermediate nodes.)

The data I want to analyze are OD (origin-destination) lines of human and animal movement.

So far, one idea was to treat lines like 4D points and use point pattern tests but I'm uncertain if that is appropriate.

The ideal test would make it possible to determine whether there are clusters of lines or not.

Instinctively, I would say that many lines that start at the same origin but have all kinds of different destinations, should not be considered a cluster. On the other hand, many lines that run (close to) parallel for a longer time would be a cluster. enter image description here

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