Emergence of Complexity in Urban Morphology

We analyze the building distribution data of Seoul City and build a model to understand urban morphology. Performing coarse-graining of the data and employing a lattice description, we find that the urbanized area forms a fractal in the proper range of the length scale. In particular, the building is classified into three categories: ‘Residential’, ‘Work’, and ‘Commercial’, and two-state variables are assigned to each lattice site, which elucidates the functionally organized pattern as well as the form of the urbanized area. Based on empirical observations, we finally propose a layered Ising-type model with frustrated inter-layer coupling, where boundary conditions and external fields are defined appropriately to simulate formation of the patterns. This model, reproducing successfully the heterogeneous spatial patterns, provides a clue for understanding the origin of characteristic urban morphology.

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About Giorgio Bertini

Research Professor. Founder Director at Learning Change Project - Research on society, culture, art, neuroscience, cognition, critical thinking, intelligence, creativity, autopoiesis, self-organization, rhizomes, complexity, systems, networks, leadership, sustainability, thinkers, futures ++
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