Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River Basin

Abstract With economic globalization and the deepening process of industrialization and urbanization, China’s urban development has entered a vital transition stage. As one of the most influential rivers in China, the Yellow River Basin (YRB), with ecological protection and high-quality development...

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Main Authors: Guangrui Xing, Dongfeng Wang, Wanxin Cai
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-06292-3
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author Guangrui Xing
Dongfeng Wang
Wanxin Cai
author_facet Guangrui Xing
Dongfeng Wang
Wanxin Cai
author_sort Guangrui Xing
collection DOAJ
description Abstract With economic globalization and the deepening process of industrialization and urbanization, China’s urban development has entered a vital transition stage. As one of the most influential rivers in China, the Yellow River Basin (YRB), with ecological protection and high-quality development as China’s national strategy, has not yet received sufficient attention for its urban shrinkage. Accordingly, this study constructs an evaluation index system for the shrinkage of cities in the YRB from four dimensions: population, economy, society and space. The entropy method and analytic hierarchy process are to determine the weights, the shrinkage model, the transfer matrix method and the exploratory spatial data analysis method are used to study the spatial-temporal evolution characteristics of 62 cities with data in the YRB. Random forest (RF) regression method was used to explore the influencing factors affecting the formation of urban shrinkage in the YRB and their influencing roles. The research results show that: (1) urban shrinkage in the YRB is characterized by spatial differentiation and shows a trend of drastic and concentrated development, with the shrinkage phenomenon becoming more and more significant; the degree of population shrinkage, economic shrinkage and social shrinkage is dominated by slight or moderate; the degree of space shrinkage and comprehensive shrinkage is dominated by high and heavy. (2) The reduction in the number of shrinking cities indicates a diminishing urban shrinkage across all dimensions, with a progressively increasing impact. (3) The accuracy of RF regression is high, and the main factors affecting the shrinkage of cities in the YRB account for 60.66%. An in-depth exploration of the characteristics of urban shrinkage and its development dynamics in the YRB from a multidimensional perspective will help to narrow the imbalance of urban development, promote high-quality development, and provide an essential reference to promote the progress of urban shrinkage research on a regional scale.
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spelling doaj-art-d7f3681a2f0346a8a8f308dc58ff6dae2025-08-20T03:03:32ZengNature PortfolioScientific Reports2045-23222025-07-0115112010.1038/s41598-025-06292-3Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River BasinGuangrui Xing0Dongfeng Wang1Wanxin Cai2College of Geographical Sciences, Faculty of Geographical Science and Engineering, Henan UniversitySchool of Culture and Tourism, Henan UniversitySchool of Civil and Hydraulic Engineering, Chongqing University of Science and TechnologyAbstract With economic globalization and the deepening process of industrialization and urbanization, China’s urban development has entered a vital transition stage. As one of the most influential rivers in China, the Yellow River Basin (YRB), with ecological protection and high-quality development as China’s national strategy, has not yet received sufficient attention for its urban shrinkage. Accordingly, this study constructs an evaluation index system for the shrinkage of cities in the YRB from four dimensions: population, economy, society and space. The entropy method and analytic hierarchy process are to determine the weights, the shrinkage model, the transfer matrix method and the exploratory spatial data analysis method are used to study the spatial-temporal evolution characteristics of 62 cities with data in the YRB. Random forest (RF) regression method was used to explore the influencing factors affecting the formation of urban shrinkage in the YRB and their influencing roles. The research results show that: (1) urban shrinkage in the YRB is characterized by spatial differentiation and shows a trend of drastic and concentrated development, with the shrinkage phenomenon becoming more and more significant; the degree of population shrinkage, economic shrinkage and social shrinkage is dominated by slight or moderate; the degree of space shrinkage and comprehensive shrinkage is dominated by high and heavy. (2) The reduction in the number of shrinking cities indicates a diminishing urban shrinkage across all dimensions, with a progressively increasing impact. (3) The accuracy of RF regression is high, and the main factors affecting the shrinkage of cities in the YRB account for 60.66%. An in-depth exploration of the characteristics of urban shrinkage and its development dynamics in the YRB from a multidimensional perspective will help to narrow the imbalance of urban development, promote high-quality development, and provide an essential reference to promote the progress of urban shrinkage research on a regional scale.https://doi.org/10.1038/s41598-025-06292-3Urban shrinkageMultidimensionalSpatial-temporal evolutionRandom forest regressionYRB
spellingShingle Guangrui Xing
Dongfeng Wang
Wanxin Cai
Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River Basin
Scientific Reports
Urban shrinkage
Multidimensional
Spatial-temporal evolution
Random forest regression
YRB
title Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River Basin
title_full Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River Basin
title_fullStr Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River Basin
title_full_unstemmed Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River Basin
title_short Study on multidimensional shrinkage spatial-temporal patterns and driving forces of cities in the Yellow River Basin
title_sort study on multidimensional shrinkage spatial temporal patterns and driving forces of cities in the yellow river basin
topic Urban shrinkage
Multidimensional
Spatial-temporal evolution
Random forest regression
YRB
url https://doi.org/10.1038/s41598-025-06292-3
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AT dongfengwang studyonmultidimensionalshrinkagespatialtemporalpatternsanddrivingforcesofcitiesintheyellowriverbasin
AT wanxincai studyonmultidimensionalshrinkagespatialtemporalpatternsanddrivingforcesofcitiesintheyellowriverbasin