Abstract
This article uses a fractal observation to help delineate the constraints placed by multiple city walls on the growth of historical East Asian cities. By applying advanced technologies from economic geography and fractal indices, a staged scaling process within urban dimension coherence can be applied to both indices. In this study, a discovery is proposed based on the urban organism concept that is capable of indicating a proportional intra-urban structure from a fundamental wall-bounded urban element (local specificity) to other greater walled spatial properties (global variables). This local specificity potentially performs approximate scaling regularities, and spatially denotes an average historical threshold of urban growth for its overall size, with similar scaling law constraints. This finding involves territorial, urban planning, and ancient architectural perspectives, providing a historical and local response to the expansion of contemporary cities. By employing growing fractal estimation, data processing enables the logarithmic city size to be obtained by measuring each wall’s specific features using the Ordinary Least Squares (OLS) method. On the basis of two-dimensional allometric scaling patches, a spatial unfolding mechanism is utilized to reproduce these dynamic changes with city walls as a result of the human trajectories in time geography.
Highlights
Cities have maintained relatively stable structural dynamics and texture complexity in a long historical period to maintain an urban equilibrium, which has recently transitioned towards a fast expansion due to urban sprawling, placing an increasing anthropogenic effect on the natural environment
According to the long line of literature on urban geography and economics, the simulated agglomeration model for urban growth, still focuses on quantifying the environmental and socioeconomic outcomes of cities with respect to their sizes, mainly confronting a polarized city size, defined as the whole city size with urban scaling law domains [5,6,7,8]; internal city structures have networks and form pattern controls [9,10,11,12,13], yet they comparatively contribute to a universal definition by which cluster integration can be used to help classify site ontologies from urban areas across various macro variables of different cities with differing sizes
The area-perimeter scaling method that we used in this paper aims to reveal the evolution mode of city morphology by switching between different homogeneous growth boundaries
Summary
Cities have maintained relatively stable structural dynamics and texture complexity in a long historical period to maintain an urban equilibrium, which has recently transitioned towards a fast expansion due to urban sprawling, placing an increasing anthropogenic effect on the natural environment. According to the long line of literature on urban geography and economics, the simulated agglomeration model for urban growth, still focuses on quantifying the environmental and socioeconomic outcomes of cities with respect to their sizes (i.e., the city size for population outcomes), mainly confronting a polarized city size, defined as the whole city (system) size with urban scaling law domains [5,6,7,8]; internal city structures have networks and form pattern controls [9,10,11,12,13], yet they comparatively contribute to a universal definition by which cluster integration can be used to help classify site ontologies from urban areas across various macro variables of different cities with differing sizes. The related literature has been principally empirical and focused on the following: the urban size distribution of a city’s population, its power-law distribution [15]; the city’s relational driving force to aggregate [16,17]; and the structural endogeneity of the growth framework in various domains [13,18,19,20]
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