I have a point dataset of solar farm locations. The points are grouped according to which substation they feed into (see below). I would like to test the hypothesis that electrical output variability within each group is related to the pattern the points form. That is, 10 points within a 10x10km area may resemble a straight line, wavy line, perimeter of a circle, semi-circle, triangle, dumbbell etc. However, I’m struggling to find any algorithms which can help to categorise the groups of points or even the correct terminology to describe the possible patterns.
I’ve found I can identify lines in point patterns with PAST (http://folk.uio.no/ohammer/past). Hierarchical clustering in R looks suitable for dumbbell i.e. two groups forming a larger group. But I can’t identify any techniques for the other possible patterns.