Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, China

The formation and development of cities are inseparable from a certain scale of water resources. The information contained in the morphological structures of cities and water systems is often overlooked. Exploring the spatiotemporal evolution of water system structures (WSS) and urban system structu...

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Main Authors: Hailong Yu, Bin Yu, Xiangmin Zhang, Yong Fan, Sai Wen, Shanshan Jiao
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Entropy
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Online Access:https://www.mdpi.com/1099-4300/27/1/92
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author Hailong Yu
Bin Yu
Xiangmin Zhang
Yong Fan
Sai Wen
Shanshan Jiao
author_facet Hailong Yu
Bin Yu
Xiangmin Zhang
Yong Fan
Sai Wen
Shanshan Jiao
author_sort Hailong Yu
collection DOAJ
description The formation and development of cities are inseparable from a certain scale of water resources. The information contained in the morphological structures of cities and water systems is often overlooked. Exploring the spatiotemporal evolution of water system structures (WSS) and urban system structures (USS) can reveal the “urban–water” relationship from a new perspective. The Huaihe River Basin (HRB) was selected as the case area, based on the theory of fractal dimensions, grid dimension and multifractal spectrum methods were used to depict the structural evolutionary characteristics of water systems and urban systems from different dimensions. Then, through a comparative analysis of fractal parameters and spectral lines, the characteristics and changing patterns of the “urban-water” relationship in the HRB from 1980 to 2019 were revealed. The results indicate the following: (1) The water system structure in the HRB is complex and exhibits distinct scale characteristics, showing improvement overall and at larger scales while continuously degrading at smaller scales. (2) Both the water system and urban system exhibit increasingly complex spatial development characteristics; however, the USS continues to optimize over time, while the WSS experiences degradation. (3) The development patterns of the water system and urban system are significant differences in the HRB. Urban development mainly relies on outward expansion, whereas the water system is primarily characterized by intensive enhancement. (4) Because of the rapid development of urban areas, water scarcity may occur in densely populated urban areas or larger cities in the future. The research results can serve as a scientific reference for urban planning and water resource management in the HRB.
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spelling doaj-art-aa166a999d864c4db21013daf9e383062025-01-24T13:31:58ZengMDPI AGEntropy1099-43002025-01-012719210.3390/e27010092Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, ChinaHailong Yu0Bin Yu1Xiangmin Zhang2Yong Fan3Sai Wen4Shanshan Jiao5School of Tourism and Planning, Pingdingshan University, Pingdingshan 467000, ChinaCollege of Urban and Environmental Sciences, Central China Normal University, Wuhan 430079, ChinaSchool of Geographical Sciences, Xinyang Normal University, Xinyang 464000, ChinaSchool of Artifcial Intelligence, Shenzhen Polytechnic University, Shenzhen 518055, ChinaSchool of Tourism and Planning, Pingdingshan University, Pingdingshan 467000, ChinaSchool of Tourism and Planning, Pingdingshan University, Pingdingshan 467000, ChinaThe formation and development of cities are inseparable from a certain scale of water resources. The information contained in the morphological structures of cities and water systems is often overlooked. Exploring the spatiotemporal evolution of water system structures (WSS) and urban system structures (USS) can reveal the “urban–water” relationship from a new perspective. The Huaihe River Basin (HRB) was selected as the case area, based on the theory of fractal dimensions, grid dimension and multifractal spectrum methods were used to depict the structural evolutionary characteristics of water systems and urban systems from different dimensions. Then, through a comparative analysis of fractal parameters and spectral lines, the characteristics and changing patterns of the “urban-water” relationship in the HRB from 1980 to 2019 were revealed. The results indicate the following: (1) The water system structure in the HRB is complex and exhibits distinct scale characteristics, showing improvement overall and at larger scales while continuously degrading at smaller scales. (2) Both the water system and urban system exhibit increasingly complex spatial development characteristics; however, the USS continues to optimize over time, while the WSS experiences degradation. (3) The development patterns of the water system and urban system are significant differences in the HRB. Urban development mainly relies on outward expansion, whereas the water system is primarily characterized by intensive enhancement. (4) Because of the rapid development of urban areas, water scarcity may occur in densely populated urban areas or larger cities in the future. The research results can serve as a scientific reference for urban planning and water resource management in the HRB.https://www.mdpi.com/1099-4300/27/1/92water system structureurban system structurefractal dimensionspatiotemporal evolutionrelationship characteristicthe Huaihe River Basin
spellingShingle Hailong Yu
Bin Yu
Xiangmin Zhang
Yong Fan
Sai Wen
Shanshan Jiao
Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, China
Entropy
water system structure
urban system structure
fractal dimension
spatiotemporal evolution
relationship characteristic
the Huaihe River Basin
title Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, China
title_full Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, China
title_fullStr Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, China
title_full_unstemmed Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, China
title_short Spatiotemporal Evolution of the Water System’s Structure and Its Relationship with Urban System Based on Fractal Dimension: A Case Study of the Huaihe River Basin, China
title_sort spatiotemporal evolution of the water system s structure and its relationship with urban system based on fractal dimension a case study of the huaihe river basin china
topic water system structure
urban system structure
fractal dimension
spatiotemporal evolution
relationship characteristic
the Huaihe River Basin
url https://www.mdpi.com/1099-4300/27/1/92
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