esda.shape.moment_of_inertia

esda.shape.moment_of_inertia(collection)

Computes the moment of inertia of the polygon.

This treats each boundary point as a point-mass of 1.

Thus, for constant unit mass at each boundary point, the MoI of this pointcloud is

\[\sum_i d_{i,c}^2\]

where c is the centroid of the polygon

Altman’s OS_1 measure [Alt98], cited in Boyce and Clark (1964), also used in Weaver and Hess (1963).