New geometrical compactness measures for zones design

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,...

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Autores Principales: Rincón García, Eric Alfredo, Gutiérrez Andrade, Miguel Ángel, de los Cobos Silva, Sergio Gerardo, Lara Velázquez, Pedro
Formato: Artículo
Idioma: Español
Publicado: 2015
Acceso en línea: http://revistas.ucr.ac.cr/index.php/matematica/article/view/1333
http://hdl.handle.net/10669/13017
id RepoKERWA13017
recordtype dspace
spelling RepoKERWA130172017-08-08T18:50:26Z New geometrical compactness measures for zones design Nuevas medidas de compacidad geométrica para el diseño de zonas Rincón García, Eric Alfredo Gutiérrez Andrade, Miguel Ángel de los Cobos Silva, Sergio Gerardo Lara Velázquez, Pedro 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.Keywords: Redistricting, compactness, simulated annealing, GIS.Mathematics Subject Classification: 90C59, 90C29, 68T20. El diseño de zonas compactas es un problema que ha sido estudiado por su influencia en la creación de zonas con formas regulares, las cuales resultan más fáciles de analizar, estudiar o administrar. En este trabajo se propone un nuevo método para medir la compacidad, mediante la transformación de los espacios geográficos originales, en figuras formadas con celdas cuadradas, las cuales son utilizadas para cuantificar la similitud entre la zona original y una zona ideal con contornos rectos. Este procedimiento fue aplicado para diseñar zonas electorales compactas, conexas y con equilibrio poblacional, en una configuración topográfica que favorece la creación de formas retorcidas y difusas. Los resultados obtenidos, muestran que el nuevo método favorece la creación de zonas con formas rectas, sin afectar, de manera importante el equilibrio poblacional, dando como resultado zonas de buena calidad tanto por su forma como por el número de habitantes que contiene.Palabras clave: Distritación, compacidad, recocido simulado, SIG.Mathematics Subject Classification: 90C59, 90C29, 68T20. 2015-05-19T19:05:23Z 2015-05-19T19:05:23Z 2012-07-01 00:00:00 2015-05-19T19:05:23Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://revistas.ucr.ac.cr/index.php/matematica/article/view/1333 http://hdl.handle.net/10669/13017 10.15517/rmta.v19i2.1333 es Revista de Matemática: Teoría y Aplicaciones Vol. 19 Núm. 2 2012 183-199 application/pdf
institution Universidad de Costa Rica
collection Repositorio KERWA
language Español
description 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.Keywords: Redistricting, compactness, simulated annealing, GIS.Mathematics Subject Classification: 90C59, 90C29, 68T20.
format Artículo
author Rincón García, Eric Alfredo
Gutiérrez Andrade, Miguel Ángel
de los Cobos Silva, Sergio Gerardo
Lara Velázquez, Pedro
spellingShingle Rincón García, Eric Alfredo
Gutiérrez Andrade, Miguel Ángel
de los Cobos Silva, Sergio Gerardo
Lara Velázquez, Pedro
New geometrical compactness measures for zones design
author_sort Rincón García, Eric Alfredo
title New geometrical compactness measures for zones design
title_short New geometrical compactness measures for zones design
title_full New geometrical compactness measures for zones design
title_fullStr New geometrical compactness measures for zones design
title_full_unstemmed New geometrical compactness measures for zones design
title_sort new geometrical compactness measures for zones design
publishDate 2015
url http://revistas.ucr.ac.cr/index.php/matematica/article/view/1333
http://hdl.handle.net/10669/13017
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score 11.763007