Abstract

To measure and present urban size urban spatial forms, in solving problems in the rapid urbanization of China, urban territorial scope identification is essential. Although current commonly used methods can quantitatively identify urban territorial scopes to a certain extent, the results are displayed using a continuous and closed curve with medium- and low-resolution images. This makes the acquisition and interpretation of data challenging. In this paper, by extracting discretely distributed urban settlements, road intersections in OpenStreetMap (OSM), electronic maps, and urban expansion curve based on fractal thoughts have been used to present urban territorial scope and spatial form. Guangzhou, Chengdu, Nanjing, and Shijiazhuang cities were chosen as the identification targets. The results showed that the distance threshold corresponding to the principal curvature point of the urban expansion curve plays a vital role in the extraction of urban settlements. Moreover, from the analysis, the optimal distance thresholds of urban settlements in Guangzhou, Chengdu, Nanjing, and Shijiazhuang were 132 m, 204 m, 157 m, and 124 m, respectively, and the corresponding areas of urban territorial scopes were 1099.36 km2, 1076.78 km2, 803.07 km2, and 353.62 km2, respectively. These metrics are consistent with those for the built-up areas.

Highlights

  • Urbanization is inevitable the economic development of any country

  • The fractal dimension is constant over a limited range, but it changes over a continuous range [66,67]

  • From the perspective of self-organization and based on fractal theory, the following major contributions have been made in this paper: 1

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Summary

Introduction

Urbanization is inevitable the economic development of any country. According to data released by the National Bureau of Statistics of China, the urbanization rate in China reached 59.58% by the end of 2018 [1]. The sustainable development of cities is impeded significantly [2,3] To solve these problems and to realize a scientific and sustainable urban development, many scholars have put forward new ideas: eco-city [4] and smart city [5]. To realize these ideas, the present situation of urban development needs to be understood, the size of cities needs to be scientifically measured, planning and arrangements should be adjusted, and the blind expansion of cities should be regulated [6]

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