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Measuring legislative boundaries

Author

Listed:
  • Chambers, Christopher P.
  • Miller, Alan D.

Abstract

We introduce the first family of district compactness measures that can incorporate a wide range of internal geographic features. The measures in this family are the probability that a district contains an admissible path between a randomly selected pair of people. The measure can account for roads, travel time, political boundaries, and prior districts. This family of measures includes the path-based measure of Chambers and Miller (2010).

Suggested Citation

  • Chambers, Christopher P. & Miller, Alan D., 2013. "Measuring legislative boundaries," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 268-275.
    • Handle: RePEc:eee:matsoc:v:66:y:2013:i:3:p:268-275
    DOI: 10.1016/j.mathsocsci.2013.06.001
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    References listed on IDEAS

    as
    1. Chambers, Christopher P. & Miller, Alan D., 2010. "A Measure of Bizarreness," Quarterly Journal of Political Science, now publishers, vol. 5(1), pages 27-44, April.
    2. Roland G. Fryer Jr. & Richard Holden, 2011. "Measuring the Compactness of Political Districting Plans," Journal of Law and Economics, University of Chicago Press, vol. 54(3), pages 493-535.
    3. Taylor, Peter J., 1973. "A New Shape Measure for Evaluating Electoral District Patterns," American Political Science Review, Cambridge University Press, vol. 67(3), pages 947-950, September.
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    Cited by:

    1. Biró, Péter & Kóczy, László Á. & Sziklai, Balázs, 2015. "Fair apportionment in the view of the Venice Commission’s recommendation," Mathematical Social Sciences, Elsevier, vol. 77(C), pages 32-41.
    2. Clemens Puppe & Attila Tasnádi, 2015. "Axiomatic districting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 31-50, January.
    3. Balázs R Sziklai & Károly Héberger, 2020. "Apportionment and districting by Sum of Ranking Differences," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-20, March.
    4. Eduardo Álvarez-Miranda & Camilo Campos-Valdés & Maurcio Morales Quiroga & Matías Moreno-Faguett & Jordi Pereira, 2020. "A Multi-Criteria Pen for Drawing Fair Districts: When Democratic and Demographic Fairness Matter," Mathematics, MDPI, vol. 8(9), pages 1-26, August.
    5. Katsuya Kobayashi & Attila Tasnádi, 2019. "Gerrymandering in a hierarchical legislature," Theory and Decision, Springer, vol. 87(2), pages 253-279, September.

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