2022
DOI: 10.1038/s41598-022-05556-6
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Uncovering structural diversity in commuting networks: global and local entropy

Abstract: In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination patterns. Entropy measures can be used to explore this complexity, and to quantify the degree of structural diversity of in- and out-flows at different scales and across the system. We use toy models of commuting networks to examine global and local measures, allowing the compariso… Show more

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Cited by 7 publications
(5 citation statements)
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“…Despite this similarity, the hypergraph models show a difference in epigenomic network structure between groups, highlighted by a reduction in entropy within KS1 ( Figure 5 ). Lower entropy of omic networks is associated with ageing 54,55 and advancing cellular differentiation 32,33,56 .…”
Section: Discussionmentioning
confidence: 99%
“…Despite this similarity, the hypergraph models show a difference in epigenomic network structure between groups, highlighted by a reduction in entropy within KS1 ( Figure 5 ). Lower entropy of omic networks is associated with ageing 54,55 and advancing cellular differentiation 32,33,56 .…”
Section: Discussionmentioning
confidence: 99%
“…They then used the Shannon entropy of the weights �𝑤𝑥 𝑖𝑖𝑖𝑖 � 𝑖𝑖 of the links issuing from a city 𝑖𝑖 as a measure of the polycentricity of 𝑖𝑖's connec�ons. A similar approach was followed by Marin et al [33], who adopted Shannon entropy to assess the diversity of commu�ng flows �𝑤𝑥 𝑖𝑖𝑖𝑖 � 𝑖𝑖𝑖𝑖 between Bri�sh ci�es, an example of func�onal polycentricity. Le�ng…”
Section: 𝑖𝑖mentioning
confidence: 99%
“…Marin et al [33] obtained measures of the heterogeneity of the outgoing and incoming connec�ons between a city 𝑖𝑖 and all the other ci�es.…”
Section: 𝑖𝑖mentioning
confidence: 99%
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“…A street network is most commonly represented as a graph embedded in the plane (Barthélemy 2011). As such, there exists a large array of entropy models for general graphs that can be applied to street networks (Dehmer and Mowshowitz 2011; Marin et al, 2022). However, these models do not consider the spatial properties of street networks and are therefore rarely considered.…”
Section: Introductionmentioning
confidence: 99%