Neira Mateo, Molinero Carlos, Marshall Stephen, Arcaute Elsa
Alan Turing Institute, British Library, London, NW1 2DB, UK.
Centre for Advanced Spatial Analysis, University College London, London, W1T 4TJ, UK.
Sci Rep. 2024 Apr 10;14(1):8370. doi: 10.1038/s41598-024-58932-9.
We present a novel method for analysing socio-spatial segregation in cities by considering constraints imposed by transportation networks. Using a multilayered network approach, we model the interaction probabilities of socio-economic groups with random walks and Lévy flights. This method allows for evaluation of new transport infrastructure's impact on segregation while quantifying each network's contribution to interaction opportunities. The proposed random walk segregation index measures the probability of individuals encountering diverse social groups based on their available means of transit via random walks. The index incorporates temporal constraints in urban mobility with a parameter, , of the probability of the random walk continuing at each time step. By applying this to a toy model and conducting a sensitivity analysis, we explore how the index changes dependent on this temporal constraint. When the parameter equals zero, the measure simplifies to an isolation index. When the parameter approaches one it represents the city's overall socio-economic distribution by mirroring the steady-state of the random walk process. Using Cuenca, Ecuador as a case study, we illustrate the method's applicability in transportation planning as a valuable tool for policymakers, addressing spatial distribution of socio-economic groups and the connectivity of existing transport networks, thus promoting equitable interactions throughout the city.
我们提出了一种通过考虑交通网络所施加的限制来分析城市社会空间隔离的新方法。使用多层网络方法，我们用随机游走和 Lévy 飞行对社会经济群体的互动概率进行建模。该方法能够评估新交通基础设施对隔离的影响，同时量化每个网络对互动机会的贡献。所提出的随机游走隔离指数衡量个体基于其可利用的交通方式通过随机游走遇到不同社会群体的概率。该指数通过一个参数 纳入城市移动性中的时间限制，即随机游走在每个时间步继续的概率。通过将其应用于一个简单模型并进行敏感性分析，我们探究该指数如何依赖于这个时间限制而变化。当参数等于零时，该度量简化为一个隔离指数。当参数接近一时，它通过反映随机游走过程的稳态来代表城市的整体社会经济分布。以厄瓜多尔昆卡为例，我们说明了该方法在交通规划中的适用性，作为政策制定者的一个有价值工具，用于解决社会经济群体的空间分布以及现有交通网络的连通性问题，从而促进整个城市的公平互动。
