Ortega Diego, Korutcheva Elka
Department of Fundamental Physics, National University of Distance Education (UNED), 28040, Madrid, Spain.
G. Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria.
Sci Rep. 2025 May 8;15(1):16094. doi: 10.1038/s41598-025-00308-8.
Cities have developed over time alongside advancements in civilization, focusing on efficient travel and reducing costs. Many studies have examined the distinctive features of urban road networks, such as their length, efficiency, connection to population density, and other properties. However, the relationship between car routes and population in city structures remains unclear. In this study, we used the center of mass for each city tract, defined by the US Census, as the origins and destinations for our itineraries. We calculated travel time, and both Euclidean and travel distances for sixty major cities. We discovered that the total sum of all routes follows an urban law. The distribution of these car journeys is fitted by Weibull functions, suggesting that the urban center plays a crucial role in optimizing routes across multiple cities. We also established a classification for cities and developed a simple point pattern model for the population, which aligns with the well-known decreasing exponential density expression. Our findings show that the interplay between population and path optimization influences city structure through its center. This study offers a new perspective on the fundamental principles that shape urban design.
随着文明的进步，城市也在不断发展，重点在于高效出行和降低成本。许多研究考察了城市道路网络的独特特征，比如其长度、效率、与人口密度的关联以及其他属性。然而，城市结构中汽车行驶路线与人口之间的关系仍不明确。在本研究中，我们将由美国人口普查局定义的每个城市区域的质心用作行程的起点和终点。我们计算了60个主要城市的出行时间、欧几里得距离和行驶距离。我们发现所有路线的总和遵循城市规律。这些汽车行程的分布可用威布尔函数拟合，这表明城市中心在优化多个城市的路线方面起着关键作用。我们还对城市进行了分类，并为人口开发了一个简单的点模式模型，该模型与著名的递减指数密度表达式相符。我们的研究结果表明，人口与路径优化之间的相互作用通过城市中心影响城市结构。本研究为塑造城市设计的基本原则提供了新视角。
