AI 中文总结
研究城市交通系统均衡分析中数据可用性与指标维度不匹配问题，提出动态多层均衡吸引子，刻画低维指标投影忠实于均衡结构的条件，通过模拟研究验证结果，为城市当局决策指标保留提供依据。
AI 中文摘要
城市交通系统的均衡分析在高维指标空间中进行，而不同城市和干扰情况下数据可用性差异很大。本文正式处理了这种不匹配问题。提出了一个用于受干扰城市交通的动态多层均衡吸引子，其中快速性能层向依赖指标的目标松弛，缓慢战略层提供联合交通、模式和学习不动点，并通过关于后验与基线性能比的统计决策规则对抗脆弱性进行分类。然后刻画了低维指标投影何时忠实于这种均衡结构，建立了四个结果：吸引子精确和近似可投影的条件及明确误差界；耦合两层不动点在收缩边界内的保持；在可观测城市指标的测量模型下任何指标支持的保留Fisher信息和决策能力；以及单边恢复时间偏差，即减少监测只会低估恢复持续时间。对三种典型试点城市配置的模拟研究验证了每个结果，并表明在指标目录允许的情况下，两个可观测通道足以用于候选分类目标。该框架为城市当局决定必须保留哪些指标提供了原则基础。
英文摘要
Equilibrium analysis of urban mobility systems is formulated in a high-dimensional indicator space, whilst data availability varies sharply across cities and disruption contexts. This paper gives a formal treatment of that mismatch. It presents a dynamic multi-layer equilibrium attractor for disrupted urban mobility, in which a fast performance layer relaxes towards an indicator-dependent target, a slow strategic layer supplies a joint traffic, modal and learning fixed point, and antifragility is classified through a statistical decision rule on the post-to-baseline performance ratio. It then characterises when a lower-dimensional indicator projection is faithful to this equilibrium structure, establishing four results: conditions for exact and approximate projectability of the attractor with an explicit error bound; preservation of the coupled two-layer fixed point up to a contraction boundary; the retained Fisher information and decision power of any indicator support under a measurement model on observable urban indicators; and a one-sided restoration-time bias, whereby reduced monitoring can only understate recovery duration. A simulation study on three stylised pilot-city configurations verifies each result, and shows that two observable channels suffice for the candidate classification target where the indicator catalogue permits. The framework gives city authorities a principled basis for deciding which indicators must be maintained.
Comments35 pages, 6 figures, 6 tables
