{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T12:00:22Z","timestamp":1772798422082,"version":"3.50.1"},"reference-count":39,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,5,4]],"date-time":"2023-05-04T00:00:00Z","timestamp":1683158400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Fundamental Research Funds for the Central Universities","award":["2572021AW34"],"award-info":[{"award-number":["2572021AW34"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["2572021DT09"],"award-info":[{"award-number":["2572021DT09"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["JD22A014"],"award-info":[{"award-number":["JD22A014"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2572021AW34"],"award-info":[{"award-number":["2572021AW34"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2572021DT09"],"award-info":[{"award-number":["2572021DT09"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["JD22A014"],"award-info":[{"award-number":["JD22A014"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Heilongjiang Province Key Research and Development Projects","award":["2572021AW34"],"award-info":[{"award-number":["2572021AW34"]}]},{"name":"Heilongjiang Province Key Research and Development Projects","award":["2572021DT09"],"award-info":[{"award-number":["2572021DT09"]}]},{"name":"Heilongjiang Province Key Research and Development Projects","award":["JD22A014"],"award-info":[{"award-number":["JD22A014"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJGI"],"abstract":"<jats:p>The structural characteristics of an urban road network directly affect the urban road network\u2019s overall function and service level. Because the hierarchical division and layout form of an urban road network has self-similarity and scale invariance, the urban traffic network has certain time-space fractal characteristics, and fractal theory has become a powerful tool for evaluating traffic networks. This paper calculates and compares five fractal dimensions (FD) of nine districts in Harbin. Meanwhile, each calculated FD is linearly regressed with the area, population, built-up area, building area, the total number and length of roads, and the number of buildings in the region. The results show that the fractal dimensions of the five types are between 1 and 2. In the same district, the values of the FD perimeter and FD ruler are lower compared to the FD box, FD information, and FD mass, whereas those of the FD box and FD information are higher. Compared to the FD box and FD information, the value of FD mass shows unevenly. Based on the current research results, this study discusses the feasibility of using relevant indicators in the fractal process to evaluate the layout of the urban road network and guide its optimization and adjustment.<\/jats:p>","DOI":"10.3390\/ijgi12050188","type":"journal-article","created":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T01:38:21Z","timestamp":1683250701000},"page":"188","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Analysis of Road Networks Features of Urban Municipal District Based on Fractal Dimension"],"prefix":"10.3390","volume":"12","author":[{"given":"Hongxing","family":"Deng","sequence":"first","affiliation":[{"name":"School of Traffic and Transportation, Northeast Forestry University, Harbin 150040, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wen","family":"Wen","sequence":"additional","affiliation":[{"name":"School of Traffic and Transportation, Northeast Forestry University, Harbin 150040, China"},{"name":"School of Modern Service, Harbin Vocational and Technical College, Harbin 150081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenhui","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Traffic and Transportation, Northeast Forestry University, Harbin 150040, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,4]]},"reference":[{"key":"ref_1","first-page":"636","article-title":"Fractal characteristics of urban surface transit and road networks: Case study of Strasbourg, France","volume":"9","author":"Wang","year":"2017","journal-title":"Adv. Mech. Eng."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"4203","DOI":"10.1016\/j.aej.2021.03.020","article-title":"Fractal Dimensions of Road Networks in Amman Metropolitan Districts","volume":"60","author":"Abid","year":"2021","journal-title":"Alex. Eng. J."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"6304","DOI":"10.1038\/s41598-021-85405-0","article-title":"Fractal dimension of coastline of Australia","volume":"11","author":"Husain","year":"2021","journal-title":"Sci. Rep."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1943","DOI":"10.1190\/1.1444487","article-title":"Fractal behavior and detectibility limits of geophysical surveys","volume":"63","author":"Dimri","year":"1998","journal-title":"Geophysics"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.topol.2013.10.010","article-title":"Fractal dimension for fractal structures","volume":"163","year":"2014","journal-title":"Topol. Appl."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.topol.2015.12.080","article-title":"A new fractal dimension for curves based on fractal structures","volume":"203","year":"2016","journal-title":"Topol. Appl."},{"key":"ref_7","unstructured":"Frame, M., Urry, A., and Strogatz, S.H. (2016). Fractal Worlds: Grown, Built and Imagined, Yale University Press."},{"key":"ref_8","unstructured":"Smith, F. (1985). Chaos, Fractals and Dynamics, Marcel Dekker."},{"key":"ref_9","unstructured":"QGIS (2020, September 20). QGIS, Open Source Geographic Information System. Available online: https:\/\/www.qgis.org\/en\/site\/."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1142\/S0129183113500332","article-title":"The correlation fractal dimension of complex networks","volume":"24","author":"Wang","year":"2013","journal-title":"Int. J. Mod. Phys. C"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"6209592","DOI":"10.1155\/2021\/6209592","article-title":"Impact of Road Network Topology on Public Transportation Development","volume":"2021","author":"Chen","year":"2021","journal-title":"Wirel. Commun. Mob. Comput."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"11363","DOI":"10.1007\/s10489-021-03060-4","article-title":"Deep spatial-temporal bi-directional residual optimisation based on tensor decomposition for traffic data imputation on urban road network","volume":"52","author":"Li","year":"2022","journal-title":"Appl. Intell."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"12665","DOI":"10.1109\/TITS.2021.3115953","article-title":"Intelligent Feature Selection Using GA and Neural Network Optimization for Real-Time Driving Pattern Recognition","volume":"23","author":"Tao","year":"2022","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3305400","DOI":"10.1155\/2022\/3305400","article-title":"Optimization of Traffic Congestion Management in Smart Cities under Bidirectional Long and Short-Term Memory Model","volume":"2022","author":"Zhai","year":"2022","journal-title":"J. Adv. Transp."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"9938001","DOI":"10.1155\/2023\/9938001","article-title":"Research on Urban Road Network Evaluation Based on Fractal Analysis","volume":"2023","author":"Wen","year":"2023","journal-title":"J. Adv. Transp."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Yu, X., and Zhao, Z. (2022). Fractal Characteristic Evolution of Coastal Settlement Land Use: A Case of Xiamen, China. Land, 11.","DOI":"10.3390\/land11010050"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Liu, S., and Chen, Y. (2022). A Three-Dimensional Box-Counting Method to Study the Fractal Characteristics of Urban Areas in Shenyang, Northeast China. Buildings., 12.","DOI":"10.3390\/buildings12030299"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1007\/s11252-020-00945-z","article-title":"Effects of habitat-patch size and patch isolation on the diversity of forest birds in the urban-forest mosaic of Durban, South Africa","volume":"23","author":"Maseko","year":"2020","journal-title":"Urban Ecosyst."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"You, M., Guan, C., and Lai, R. (2022). Spatial Structure of an Urban Park System Based on Fractal Theory: A Case Study of Fuzhou, China. Remote Sens., 14.","DOI":"10.3390\/rs14092144"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Muhiuddin, G., Hameed, S., Rasheed, A., and Ahmad, U. (2022). Cubic Planar Graph and Its Application to Road Network. Math. Probl. Eng., 2022.","DOI":"10.1155\/2022\/5251627"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1080\/17445647.2022.2035265","article-title":"Spatial patterns of transport accessibility and traffic load in Czechia: Towards a typology of the new road infrastructure impacts","volume":"18","year":"2022","journal-title":"J. Maps"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"58001","DOI":"10.1209\/0295-5075\/105\/58001","article-title":"Controllability of fractal networks: An analytical approach","volume":"105","author":"Li","year":"2014","journal-title":"Europhys. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Sobieraj, M., Zwierzykowski, P., and Leitgeb, E. (2021). Modelling and Optimization of Multi-Service Optical Switching Networks with Threshold Management Mechanisms. Electronics, 10.","DOI":"10.3390\/electronics10131515"},{"key":"ref_24","first-page":"98","article-title":"Fractal dimension of urban form elements and its relationships: In the case of city of Colombo","volume":"2","author":"Jayasinghe","year":"2014","journal-title":"Asian J. Eng. Technol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1250172","DOI":"10.1142\/S021797921250172X","article-title":"Fractal pattern in spatial structure of urban road networks","volume":"26","author":"Sun","year":"2012","journal-title":"Int. J. Mod. Phys. B"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1068\/b38218","article-title":"Fractal dimensions of the built-up footprint: Buildings versus roads. Fractal evidence from Antwerp (Belgium)","volume":"40","author":"Thomas","year":"2013","journal-title":"Environ. Plann. B"},{"key":"ref_27","first-page":"471","article-title":"A study on fractal dimensions of spatial structure of transport networks and the methods of their determination","volume":"54","author":"Liu","year":"1999","journal-title":"Acta Geogr. Sin."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.chaos.2019.05.029","article-title":"Fractal dimensions derived from spatial allometric scaling of urban form","volume":"126","author":"Chen","year":"2019","journal-title":"Chaos Solitons Fractals"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"062130","DOI":"10.1103\/PhysRevE.92.062130","article-title":"Michael Batty, Multifractal to monofractal evolution of the London street network","volume":"92","author":"Murcio","year":"2015","journal-title":"Phys. Rev. E Stat. Nonlin. Soft. Matter Phys."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Long, Y., and Chen, Y. (2021). Multifractal scaling analyses of urban street network structure: The cases of twelve megacities in China. PLoS ONE, 16.","DOI":"10.1371\/journal.pone.0246925"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"1987","DOI":"10.1016\/j.trpro.2020.08.227","article-title":"Application of Fractal Analysis in Evaluation of Urban Road Networks in small sized city of India: Case city of Karimnagar","volume":"48","author":"Dasari","year":"2020","journal-title":"Transp. Res. Procedia"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1177\/0047287520987627","article-title":"Measuring Tourism Intensification in Urban Destinations: An Approach Based on Fractal Analysis","volume":"61","author":"Ferreira","year":"2022","journal-title":"J. Travel Res."},{"key":"ref_33","first-page":"3","article-title":"Box-Counting Dimension of Fractal Urban Form: Stability Issues and Measurement Design","volume":"3","author":"Jiang","year":"2012","journal-title":"IJALR"},{"key":"ref_34","first-page":"943","article-title":"Urban Allometric Scaling Beneath Structural Fractality of Road Networks","volume":"109","author":"Lan","year":"2019","journal-title":"Ann. Am. Assoc. Geographers."},{"key":"ref_35","first-page":"115","article-title":"Fractal characterization of structural evolution of Beijing, Tianjin and Hebei transportation network","volume":"34","author":"Long","year":"2019","journal-title":"Hum. Geogr."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1016\/j.physa.2014.01.061","article-title":"Multifractals of central place systems: Models, dimension spectrums, and empirical analysis","volume":"402","author":"Chen","year":"2014","journal-title":"Phys. A Stat. Mech. Appl."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/j.ecolind.2016.06.016","article-title":"Fractal dimensions of metropolitan area road networks and the impacts on the urban built environment","volume":"70","author":"Lu","year":"2016","journal-title":"Ecol. Indic."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1016\/j.jum.2021.08.005","article-title":"GIS-based compactness measurement of urban form at neighborhood scale: The case of Dhaka, Bangladesh","volume":"11","author":"Rahman","year":"2022","journal-title":"J. Urban Manag."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Cai, C., Guo, Z., Zhang, B., Wang, X., Li, B., and Tang, P. (2021). Urban Morphological Feature Extraction and Multi-Dimensional Similarity Analysis Based on Deep Learning Approaches. Sustainability, 13.","DOI":"10.3390\/su13126859"}],"container-title":["ISPRS International Journal of Geo-Information"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2220-9964\/12\/5\/188\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T19:29:07Z","timestamp":1760124547000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2220-9964\/12\/5\/188"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,4]]},"references-count":39,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2023,5]]}},"alternative-id":["ijgi12050188"],"URL":"https:\/\/doi.org\/10.3390\/ijgi12050188","relation":{},"ISSN":["2220-9964"],"issn-type":[{"value":"2220-9964","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,5,4]]}}}