Contents
How is the compactness of a shape measured?
There is a long history of interest in the science community in developing an effective compactness measure; in 1822 Ritter proposed to measure a shape’s compactness using a simple ratio of the perimeter (P) to the area (A) of the shape (Frolov 1975).
How to evaluate the efficiency of Compactness measures?
To evaluate the efficiency and effectiveness of compactness measures, we propose the following criteria: (1) robust, (2) computationally efficient, and (3) additive. Robust here meaning the algorithm should be able to measure the compactness of any shape.
How are Compactness measures used in redistricting?
More sophisticated measures of compactness include calculating the shape’s moment of inertia or boundary curvature. A common use of compactness measures is in redistricting. The goal is to maximize the compactness of electoral districts, subject to other constraints, and thereby to avoid gerrymandering.
How to automate measurements with Python-edn?
The best way to convey the convenience and power of Python is to describe a complete, working Python automation script, such as the one I used to automate the measurement of a VR’s (voltage regulator’s) load-regulation curve (load regulation is the variation of the output voltage as the output current—the load—increases).
How is the compactness of a district determined?
Test z A test to determine the need to create a majority-minority (equal opportunity)district z [the minority population must be] “sufficiently large and geographically compact to constitute a MAJORITY in a single-member district” z Politically cohesive
How is compactness used as a geospatial index?
In addition, compactness is a well-known index to describe the hydrological properties of drainage basins (Bardossy and Schmidt 2002). The geospatial applications mentioned above concern the role of compactness as a shape index to measure a singleshape.