Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://www.revistas.ucr.ac.cr/index.php/matematica/oai
New geometrical compactness measures for zones design
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Keywords

Redistricting
compactness
simulated annealing
GIS
Distritación
compacidad
recocido simulado
SIG

How to Cite

Rincón-García, E. A., Gutiérrez-Andrade, M. Ángel, De-Los-Cobos-Silva, S. G., & Lara-Velázquez, P. (2012). New geometrical compactness measures for zones design. Revista De Matemática: Teoría Y Aplicaciones, 19(2), 183–199. https://doi.org/10.15517/rmta.v19i2.1333

Abstract

The design of compact zones has been studied because of its influence in the creation of zones with regular forms, which are easier to analyze, to investigate or to administer. This paper propose a new method to measure compactness,by means of the transformation of the original geographical spaces, into figures formed with square cells, which are used to measure the similarity between the original zone and an ideal zone with straight forms. The proposed method was applied to design electoral zones, which must satisfy constraints of compactness, contiguity and population balance, in a topographical configuration that favors the creation of twisted and diffuse shapes. The results show that the new method favors the creation of zones with straight forms, without an important effect to the population balance, which are considered zones of high quality.

https://doi.org/10.15517/rmta.v19i2.1333
PDF (Español (España))

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