Revisiting Compactness for District Plans

Kristopher Tapp
1/4/2025
physics.soc-phcs.CV

No official code found. Best implementation: KrisTapp/Compactness (0 stars, last commit 2025-01-08).

Abstract

Modern sampling methods create ensembles of district maps that score well on discrete compactness scores, whereas the Polsby-Popper and other shape-based scores remain highly relevant for building fair maps and litigating unfair ones. The aim of this paper is twofold. First, we introduce population-weighted versions of shape-based scores and show a precise sense in which this interpolates between shape-based and discrete scores. Second, we introduce a modification of the ReCom sampling method that produces ensembles of maps with improved shape-based compactness scores.

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calculations from the paper "Revisiting Compactness for District Plans"

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Cite this paper

@article{tapp2025revisiting,
  title  = {Revisiting Compactness for District Plans},
  author = {Kristopher Tapp},
  year   = {2025},
  eprint = {2501.02325},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2501.02325v1}
}

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