The Reock degree of compactness, or Reock compactness score, is a ratio that quantifies the compactness of the geographic area of a voting district.[1] The score is sometimes used as an indication of the extent to which a voting district may be considered gerrymandered.
The Reock compactness score is computed by dividing the area of the voting district by the area of the smallest circle that would completely enclose it. Since the circle encloses the district, its area cannot be less than that of the district, and so the Reock compactness score will always be a number between zero and one (which may be expressed as a percentage).
Criticism
Because the Reock compactness score is defined in terms of a circle that must enclose all points of a district, it is sensitive to the orientations of the district's extremities.[2]
Even a very unnatural shape (for example, a "coiled snake") may have a high Reock compactness score so long as it fits compactly within the circumscribing circle.[3]
^Reock, Ernest (1961). "A Note: Measuring Compactness as a Requirement of Legislative Apportionment". Midwest Journal of Political Science. 5 (1): 70–74. doi:10.2307/2109043. JSTOR 2109043.
^Polsby, Daniel; Popper, Robert (1991). (PDF). Yale Law & Policy Review. 9: 301–353. doi:10.2139/ssrn.2936284. S2CID 46229993. Archived from the original (PDF) on 2019-07-02.
^Young, H. Peyton (1988). "Measuring the Compactness of Legislative Districts". Legislative Studies Quarterly. 13 (1): 105–115. doi:10.2307/439947. JSTOR 439947.
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reock, degree, compactness, reock, compactness, score, ratio, that, quantifies, compactness, geographic, area, voting, district, score, sometimes, used, indication, extent, which, voting, district, considered, gerrymandered, reock, compactness, score, computed. The Reock degree of compactness or Reock compactness score is a ratio that quantifies the compactness of the geographic area of a voting district 1 The score is sometimes used as an indication of the extent to which a voting district may be considered gerrymandered The Reock compactness score is computed by dividing the area of the voting district by the area of the smallest circle that would completely enclose it Since the circle encloses the district its area cannot be less than that of the district and so the Reock compactness score will always be a number between zero and one which may be expressed as a percentage Criticism EditBecause the Reock compactness score is defined in terms of a circle that must enclose all points of a district it is sensitive to the orientations of the district s extremities 2 Even a very unnatural shape for example a coiled snake may have a high Reock compactness score so long as it fits compactly within the circumscribing circle 3 See also EditPolsby Popper testReferences Edit Reock Ernest 1961 A Note Measuring Compactness as a Requirement of Legislative Apportionment Midwest Journal of Political Science 5 1 70 74 doi 10 2307 2109043 JSTOR 2109043 Polsby Daniel Popper Robert 1991 The Third Criterion Compactness as a Procedural Safeguard Against Partisan Gerrymandering PDF Yale Law amp Policy Review 9 301 353 doi 10 2139 ssrn 2936284 S2CID 46229993 Archived from the original PDF on 2019 07 02 Young H Peyton 1988 Measuring the Compactness of Legislative Districts Legislative Studies Quarterly 13 1 105 115 doi 10 2307 439947 JSTOR 439947 This election related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Reock degree of compactness amp oldid 1078642154, wikipedia, wiki, book, books, library,
