Assessing Shape Compactness Metrics for Gerrymandering

Authors: Shipeng Sun*, Hunter College - City University
Topics: Political Geography, Spatial Analysis & Modeling
Keywords: gerrymandering, metric assessment, shape compactness
Session Type: Virtual Paper
Day: 4/7/2021
Start / End Time: 11:10 AM / 12:25 PM
Room: Virtual 28
Presentation File: No File Uploaded

Measuring the form and structure of geographic landscapes is fundamental to understanding geospatial phenomena and their dynamics. Shape compactness metrics have been extensively employed in gerrymandering assessment, urban planning, landscape ecology, and other applications. Existing compactness measurements for gerrymandering, however, target particular aspects of gerrymandered shapes such as elongation, indentation, or dispersion without adequately integrating them with spatial context. This paper assesses a group of selected such metrics and particularly examine if the recently proposed comprehensive shape compactness metric that coherently integrates roundness, convexity, closeness, and spatial context performs better.

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