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中国物理学会期刊

城市移动流量模型的跨尺度比较方法

CSTR: 32037.14.aps.74.20250314

Cross-scale comparison methods for urban mobility models

CSTR: 32037.14.aps.74.20250314
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  • 随着城市化进程的加速, 城市人口流动的精准预测成为城市规划与政策制定的重要基础. 然而, 现有移动模型在城市场景下的适应性尚不明确, 且缺乏系统性比较, 在不同尺度下的有效性尚不清晰. 本文提出一种城市移动流量模型的跨尺度比较方法, 系统分析了引力模型、辐射模型、人口权重机会模型在不同空间、距离和人口尺度下的表现. 基于上海移动数据的实证研究表明, 引力模型受距离影响较小, 但受人口密度和区域面积差异显著影响, 性能随人口规模上升而增强, 随面积差异增大而衰减(网格边长差值大于3 km时性能下降40%); 辐射模型对出发地属性敏感, 预测能力随出发地空间尺度和人口规模增加而增强, 小尺度场景存在系统性偏差; 人口权重机会模型通过人口权重机制在空间尺度上表现出优异的兼容性, 但随着距离增大效果下降, 并与人口规模正相关. 研究结果揭示了城市移动流量模型的适用场景和局限性, 为多场景下模型选择及优化提供了可操作的决策框架.

     

    The acceleration of urbanization has rendered accurate prediction of intra-urban population mobility a fundamental requirement for urban planning and policy formulation. However, the adaptability and performance of existing mobility models on different spatial scales are still poorly understood, and there is a clear lack of a systematic evaluation framework that integrates spatial granularity, travel distance, and population heterogeneity. This study addresses these gaps by proposing a cross-scale comparative framework to evaluate three representative mobility models under varying urban conditions: the gravity model (GM), the radiation model (RM), and the population-weighted opportunities model (PWO). Using high-resolution mobile phone data from Shanghai, we construct three groups of controlled experiments to assess the performance of the model on spatial (grid size), distance, and population density scales. Furthermore, the multivariate analysis of variance (MANOVA) is further used to decompose the relative contributions of different spatial factors to prediction errors.The results indicate that there is distinct scale sensitivity between the models. Based on Newton’s principle of gravity, the GM exhibits high robustness over longer distances (>5 km), but its performance decreases under fine spatial granularity due to spatial heterogeneity. GM accuracy improves with population density but decreases significantly when regional area disparity exceeds a threshold, with prediction performance dropping by over 40% when grid size difference exceeds 3 km. The RM, based on the nearest-best-opportunity assumption, performs well for short-distance, origin-driven flows, such as commuting, but introduces systematic bias on a small scales. Its sensitivity to origin population density renders it more suitable for high-density urban cores. The PWO model enhances RM by combining destination population weights, demonstrating superior compatibility with spatial heterogeneity in dense and polycentric cities. Although it performs best in short distances (<5 km) PWO will fail as the driving distance increases.The MANOVA results demonstrate that GM is primarily influenced by population density and area scale, whereas RM and PWO exhibit greater sensitivity to distance and destination-related factors. On the basis of these findings, we propose a model selection strategy suitable for mobility drivers: GM is recommended for long-distance traffic prediction in spatially homogeneous regions, while PWO is recommended for short distance traffic prediction between densely populated small areas. RM serves as a complementary model when origin-driven flows dominate.This study not only elucidates the physical mechanisms behind the performance of scale-dependent model but also provides an actionable decision-making framework for model selection in different urban mobility scenarios. Future research will further improve predictive accuracy through the following methods: 1) developing hybrid models that integrate strengths of multiple frameworks; 2) incorporating multi-source spatial data (e.g. POIs land use); 3) coupling traditional models with deep learning approaches to enhance non-linear pattern recognition while maintaining interpretability.By revealing the scale sensitivity of mobility models, this work lays theoretical and methodological foundations for multi-scenario mobility prediction in smart city planning and fine-grained urban governance.

     

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