Orientations and matrix function-based centralities in multiplex network analysis of urban public transport

Abstract We study urban public transport systems by means of multiplex networks in which stops are represented as nodes and each line is represented by a layer. We determine and visualize public transport network orientations and compare them with street network orientations of the 36 largest German...

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Autores principales:	Kai Bergermann, Martin Stoll
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Multiplex networks Urban systems Public transport Network orientation Matrix function-based centralities Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/3c471d0009e5453eb1334059ac03b8ed
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spelling	oai:doaj.org-article:3c471d0009e5453eb1334059ac03b8ed2021-11-21T12:08:10ZOrientations and matrix function-based centralities in multiplex network analysis of urban public transport10.1007/s41109-021-00429-92364-8228https://doaj.org/article/3c471d0009e5453eb1334059ac03b8ed2021-11-01T00:00:00Zhttps://doi.org/10.1007/s41109-021-00429-9https://doaj.org/toc/2364-8228Abstract We study urban public transport systems by means of multiplex networks in which stops are represented as nodes and each line is represented by a layer. We determine and visualize public transport network orientations and compare them with street network orientations of the 36 largest German as well as 18 selected major European cities. We find that German urban public transport networks are mainly oriented in a direction close to the cardinal east-west axis, which usually coincides with one of two orthogonal preferential directions of the corresponding street network. While this behavior is present in only a subset of the considered European cities it remains true that none but one considered public transport network has a distinct north-south-like preferential orientation. Furthermore, we study the applicability of the class of matrix function-based centrality measures, which has recently been generalized from single-layer networks to layer-coupled multiplex networks, to our more general urban multiplex framework. Numerical experiments based on highly efficient and scalable methods from numerical linear algebra show promising results, which are in line with previous studies. The centrality measures allow detailed insights into geometrical properties of urban systems such as the spatial distribution of major transport axes, which can not be inferred from orientation plots. We comment on advantages over existing methodology, elaborate on the comparison of different measures and weight models, and present detailed hyper-parameter studies. All results are illustrated by demonstrative graphical representations.Kai BergermannMartin StollSpringerOpenarticleMultiplex networksUrban systemsPublic transportNetwork orientationMatrix function-based centralitiesApplied mathematics. Quantitative methodsT57-57.97ENApplied Network Science, Vol 6, Iss 1, Pp 1-33 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Multiplex networks Urban systems Public transport Network orientation Matrix function-based centralities Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Multiplex networks Urban systems Public transport Network orientation Matrix function-based centralities Applied mathematics. Quantitative methods T57-57.97 Kai Bergermann Martin Stoll Orientations and matrix function-based centralities in multiplex network analysis of urban public transport
description	Abstract We study urban public transport systems by means of multiplex networks in which stops are represented as nodes and each line is represented by a layer. We determine and visualize public transport network orientations and compare them with street network orientations of the 36 largest German as well as 18 selected major European cities. We find that German urban public transport networks are mainly oriented in a direction close to the cardinal east-west axis, which usually coincides with one of two orthogonal preferential directions of the corresponding street network. While this behavior is present in only a subset of the considered European cities it remains true that none but one considered public transport network has a distinct north-south-like preferential orientation. Furthermore, we study the applicability of the class of matrix function-based centrality measures, which has recently been generalized from single-layer networks to layer-coupled multiplex networks, to our more general urban multiplex framework. Numerical experiments based on highly efficient and scalable methods from numerical linear algebra show promising results, which are in line with previous studies. The centrality measures allow detailed insights into geometrical properties of urban systems such as the spatial distribution of major transport axes, which can not be inferred from orientation plots. We comment on advantages over existing methodology, elaborate on the comparison of different measures and weight models, and present detailed hyper-parameter studies. All results are illustrated by demonstrative graphical representations.
format	article
author	Kai Bergermann Martin Stoll
author_facet	Kai Bergermann Martin Stoll
author_sort	Kai Bergermann
title	Orientations and matrix function-based centralities in multiplex network analysis of urban public transport
title_short	Orientations and matrix function-based centralities in multiplex network analysis of urban public transport
title_full	Orientations and matrix function-based centralities in multiplex network analysis of urban public transport
title_fullStr	Orientations and matrix function-based centralities in multiplex network analysis of urban public transport
title_full_unstemmed	Orientations and matrix function-based centralities in multiplex network analysis of urban public transport
title_sort	orientations and matrix function-based centralities in multiplex network analysis of urban public transport
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/3c471d0009e5453eb1334059ac03b8ed
work_keys_str_mv	AT kaibergermann orientationsandmatrixfunctionbasedcentralitiesinmultiplexnetworkanalysisofurbanpublictransport AT martinstoll orientationsandmatrixfunctionbasedcentralitiesinmultiplexnetworkanalysisofurbanpublictransport
_version_	1718419179385651200

Orientations and matrix function-based centralities in multiplex network analysis of urban public transport

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