Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in China

Understanding mixing patterns in urban networks is crucial for exploring the connectivity relationships between nodes and revealing the connection tendencies. Based on multi-source data (Baidu index data, investment data of listed companies, high-speed rail operation data, and highway network data)...

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Main Authors: Kaiqi Zhang, Lujin Jia, Sheng Xu
Format: Article
Language:English
Published: MDPI AG 2025-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/4/2024
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author Kaiqi Zhang
Lujin Jia
Sheng Xu
author_facet Kaiqi Zhang
Lujin Jia
Sheng Xu
author_sort Kaiqi Zhang
collection DOAJ
description Understanding mixing patterns in urban networks is crucial for exploring the connectivity relationships between nodes and revealing the connection tendencies. Based on multi-source data (Baidu index data, investment data of listed companies, high-speed rail operation data, and highway network data) from 2017 to 2019 across seven national-level urban agglomerations, this study introduces complex network assortativity coefficients to analyze the mechanisms of urban relationship formation from two dimensions, structural features and socioeconomic attributes, to evaluate how these features shape urban agglomeration networks and reveal the distribution of network assortativity coefficients across urban agglomerations to classify diverse developmental patterns. The results show that the sampled cities exhibit heterogeneous characteristics following a stretched exponential distribution in urban structural features and a log-normal distribution in socioeconomic attributes, demonstrating significant resource mixing patterns. Different types of urban agglomeration networks display distinct assortativity characteristics. Information network mixing patterns within urban agglomerations are insignificant; investment relationships, high-speed rail, and highway networks demonstrate significant centripetal mixing patterns. The assortativity coefficients of urban agglomerations follow a unified general probability density distribution, suggesting that urban agglomerations objectively tend toward centripetal agglomeration.
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spelling doaj-art-e473805374b244b2ad884a1a9973bbe12025-08-20T03:12:08ZengMDPI AGApplied Sciences2076-34172025-02-01154202410.3390/app15042024Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in ChinaKaiqi Zhang0Lujin Jia1Sheng Xu2College of Economics and Management, Chang’an University, Xi’an 710064, ChinaCollege of Economics and Management, Chang’an University, Xi’an 710064, ChinaCollege of Economics and Management, Chang’an University, Xi’an 710064, ChinaUnderstanding mixing patterns in urban networks is crucial for exploring the connectivity relationships between nodes and revealing the connection tendencies. Based on multi-source data (Baidu index data, investment data of listed companies, high-speed rail operation data, and highway network data) from 2017 to 2019 across seven national-level urban agglomerations, this study introduces complex network assortativity coefficients to analyze the mechanisms of urban relationship formation from two dimensions, structural features and socioeconomic attributes, to evaluate how these features shape urban agglomeration networks and reveal the distribution of network assortativity coefficients across urban agglomerations to classify diverse developmental patterns. The results show that the sampled cities exhibit heterogeneous characteristics following a stretched exponential distribution in urban structural features and a log-normal distribution in socioeconomic attributes, demonstrating significant resource mixing patterns. Different types of urban agglomeration networks display distinct assortativity characteristics. Information network mixing patterns within urban agglomerations are insignificant; investment relationships, high-speed rail, and highway networks demonstrate significant centripetal mixing patterns. The assortativity coefficients of urban agglomerations follow a unified general probability density distribution, suggesting that urban agglomerations objectively tend toward centripetal agglomeration.https://www.mdpi.com/2076-3417/15/4/2024urban networkassortativity coefficientmixing patternstructural featuresocioeconomic attribute
spellingShingle Kaiqi Zhang
Lujin Jia
Sheng Xu
Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in China
Applied Sciences
urban network
assortativity coefficient
mixing pattern
structural feature
socioeconomic attribute
title Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in China
title_full Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in China
title_fullStr Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in China
title_full_unstemmed Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in China
title_short Recognizing Mixing Patterns of Urban Agglomeration Based on Complex Network Assortativity Coefficient: A Case Study in China
title_sort recognizing mixing patterns of urban agglomeration based on complex network assortativity coefficient a case study in china
topic urban network
assortativity coefficient
mixing pattern
structural feature
socioeconomic attribute
url https://www.mdpi.com/2076-3417/15/4/2024
work_keys_str_mv AT kaiqizhang recognizingmixingpatternsofurbanagglomerationbasedoncomplexnetworkassortativitycoefficientacasestudyinchina
AT lujinjia recognizingmixingpatternsofurbanagglomerationbasedoncomplexnetworkassortativitycoefficientacasestudyinchina
AT shengxu recognizingmixingpatternsofurbanagglomerationbasedoncomplexnetworkassortativitycoefficientacasestudyinchina