Published

2021-01-15

Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts

Análisis de conglomerados mediante vecinos más lejanos en medidas sustitutas para la evaluación de seguridad vial en glorietas

DOI:

https://doi.org/10.15446/rce.v44n1.81937

Keywords:

Cluster analysis, Complete linkage, Discriminant analysis, Principal Component analysis (en)
Análisis de componentes principales, Análisis de conglomerado, Análisis discriminante, Simulación de la seguridad vial, Vecino más lejano (es)

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Authors

  • Lenin Alexander Bulla Cruz Universidad Nacional de Colombia - Sede Bogotá https://orcid.org/0000-0002-3476-9067
  • Liliana Lyons Universidad Nacional de Colombia - Sede Bogotá
  • Enrique Darghan Universidad Nacional de Colombia - Sede Bogotá

This paper presents the findings of a comparative road safety assessment between an existing two-lane roundabout and proposed basic turboroundabout, both designed for the same intersection, to determine which one is safer, based on traffic conflicts and surrogate safety measures. We performed microsimulation models in VISSIM to replicate the fieldobserved traffic operation, and the SSAM to determinate six surrogate measures. We validated the consistency of values obtained by several statistical analyzes. The number of conflicts was 72% lower at the turboroundabout. Through a complete-linkage clustering analysis and Euclidean distances of the surrogate measures, we found that traffic conflicts at the turbo-roundabout tend to cluster in a group, whereas conflicts at the roundabout are scattered, suggesting better organization of traffic flows at the turbo-roundabout. Three-dimensional graphical analysis of clusters and its centroids allowed verifying that surrogate measures point out a safer operation at the turbo-roundabout, even though it presented higher operating speeds. Reducing the dimensionality by principal components analysis, the cumulative variance for the first two components (87.72%) allowed observing results on a two-dimensional graph and their clusters. To endorse conflicts classification, resulting of clusters, we used discriminant analysis. Results validate the methodology and the safety benefits of the turbo-roundabout.

Este artículo presenta los hallazgos de una evaluación comparativa de seguridad vial entre una glorieta clásica existente y una turboglorieta
propuesta, en la misma intersección, para determinar cuál es más segura, con base en conflictos de tráfico y medidas sustitutas. Elaboramos modelos en VISSIM para recrear la operación del tráfico observada en campo y SSAM
para determinar seis medidas sustitutas. Validamos la consistencia de los resultados por varios análisis estadísticos. El número de conflictos fue 72%
menor en la turboglorieta. Mediante un análisis de conglomerados de las medidas sustitutas, los conflictos en la turboglorieta tienden a agruparse en
un clúster, mientras que en la glorieta éstos están dispersos, sugiriendo una mejor organización de los flujos de tráfico en la turboglorieta. El análisis
gráfico tridimensional de conglomerados y centroides permitió verificar que las medidas sustitutas indican una operación más segura en la turboglorieta, a pesar de presentar velocidades de aproximación más altas. Reduciendo la
dimensionalidad, mediante análisis de componentes principales, la varianza acumulada de los dos primeros componentes (87.72%) permitió observar los resultados en dos dimensiones. Mediante análisis discriminante, respaldamos la clasificación de conflictos resultante de los clústeres. Los resultados validan la metodología y los beneficios en seguridad de la turboglorieta.

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How to Cite

APA

Bulla Cruz, L. A., Lyons, L. and Darghan, E. (2021). Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts. Revista Colombiana de Estadística, 44(1), 91–121. https://doi.org/10.15446/rce.v44n1.81937

ACM

[1]
Bulla Cruz, L.A., Lyons, L. and Darghan, E. 2021. Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts. Revista Colombiana de Estadística. 44, 1 (Jan. 2021), 91–121. DOI:https://doi.org/10.15446/rce.v44n1.81937.

ACS

(1)
Bulla Cruz, L. A.; Lyons, L.; Darghan, E. Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts. Rev. colomb. estad. 2021, 44, 91-121.

ABNT

BULLA CRUZ, L. A.; LYONS, L.; DARGHAN, E. Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts. Revista Colombiana de Estadística, [S. l.], v. 44, n. 1, p. 91–121, 2021. DOI: 10.15446/rce.v44n1.81937. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/81937. Acesso em: 28 mar. 2025.

Chicago

Bulla Cruz, Lenin Alexander, Liliana Lyons, and Enrique Darghan. 2021. “Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts”. Revista Colombiana De Estadística 44 (1):91-121. https://doi.org/10.15446/rce.v44n1.81937.

Harvard

Bulla Cruz, L. A., Lyons, L. and Darghan, E. (2021) “Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts”, Revista Colombiana de Estadística, 44(1), pp. 91–121. doi: 10.15446/rce.v44n1.81937.

IEEE

[1]
L. A. Bulla Cruz, L. Lyons, and E. Darghan, “Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts”, Rev. colomb. estad., vol. 44, no. 1, pp. 91–121, Jan. 2021.

MLA

Bulla Cruz, L. A., L. Lyons, and E. Darghan. “Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts”. Revista Colombiana de Estadística, vol. 44, no. 1, Jan. 2021, pp. 91-121, doi:10.15446/rce.v44n1.81937.

Turabian

Bulla Cruz, Lenin Alexander, Liliana Lyons, and Enrique Darghan. “Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts”. Revista Colombiana de Estadística 44, no. 1 (January 15, 2021): 91–121. Accessed March 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/81937.

Vancouver

1.
Bulla Cruz LA, Lyons L, Darghan E. Complete-Linkage Clustering Analysis of Surrogate Measures for Road Safety Assessment in Roundabouts. Rev. colomb. estad. [Internet]. 2021 Jan. 15 [cited 2025 Mar. 28];44(1):91-121. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/81937

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