Spatial Interaction Model and Characteristic Measure Based on Master Equation: Case Studies with Beijing-Tianjin-Hebei Population Flow
DOI:
https://doi.org/10.36777/jag2023.2.1.3Abstract
This study establishes a spatial interaction model based on the master equation to address the lack of quantitative representation and visual analytical capabilities in existing spatial interaction models based on the master equation. The proposed model provides a quantitative description of regional interaction strength. Taking the Beijing–Tianjin–Hebei region as an example, the study demonstrates that the master equation-based spatial interaction model can identify the spatial development patterns of cities, reveal their dynamic development mechanisms and influencing factors, and explore urban development trends using population flow data. The results show that: (1) the urban spatial interaction network in the Beijing–Tianjin–Hebei region exhibits an integrated development pattern, with Beijing serving as the core of a radial network complemented by several smaller central cities. However, disparities in inter-city development remain a major challenge to achieving coordinated regional development in the Beijing–Tianjin–Hebei region. (2) Compared with the classical gravity model, the master equation-based spatial interaction model simulates the intensity of the urban system from the perspectives of openness and randomness and performs better in capturing the detailed structure of the spatial interaction network. The results reveal a circular development pattern characterised by a “core with multiple smaller centres.
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