I have finite set of geolocation point data, and I'd like to estimate the box counting dimension of the distribution of these points on a 2- dimensional plane

Please see the attachment. The figure show the geographical distribution of 11kV electrical substations in a 1 square km area.

When I use the box counting method in ImageJ(fraclac) I get a fractal dimension less than 1 (E.g; D=0.81).I have selected the minimum and maximum box sizes to avoid any erroneous results.

Does this value make sense? Can I conduct this kind of a study to get the fractal dimension of a set of points?

I understand that the fractal dimension can be less than 1 for some fractals like 'Cantor set' (D=0.63). In cantor set (obtained by removing the middle third of every line) the points are distributed along a line. So, I can understand that the fractal dimension can be a non-integer value between 0 and 1.

But, If we take 2-D cantor dust as an example the fractal dimension of it becomes a value between 1 and 2.

Due to these observations I have a feeling that the box counting dimension of the point data I have should be a value between 1 and 2. Is this a correct argument?

Your answers and explanations are much appreciated.