Exploring the interplay between population profile and optimal routes in U.S. cities

Abstract 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. Howe...

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Main Authors: Diego Ortega, Elka Korutcheva
Format: Article
Language:English
Published: Nature Portfolio 2025-05-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-00308-8
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author Diego Ortega
Elka Korutcheva
author_facet Diego Ortega
Elka Korutcheva
author_sort Diego Ortega
collection DOAJ
description Abstract 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.
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spelling doaj-art-15d531b1ebcb4aed993d47ba7855d2ce2025-08-20T03:53:12ZengNature PortfolioScientific Reports2045-23222025-05-0115111210.1038/s41598-025-00308-8Exploring the interplay between population profile and optimal routes in U.S. citiesDiego Ortega0Elka Korutcheva1Department of Fundamental Physics, National University of Distance Education (UNED)Department of Fundamental Physics, National University of Distance Education (UNED)Abstract 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.https://doi.org/10.1038/s41598-025-00308-8
spellingShingle Diego Ortega
Elka Korutcheva
Exploring the interplay between population profile and optimal routes in U.S. cities
Scientific Reports
title Exploring the interplay between population profile and optimal routes in U.S. cities
title_full Exploring the interplay between population profile and optimal routes in U.S. cities
title_fullStr Exploring the interplay between population profile and optimal routes in U.S. cities
title_full_unstemmed Exploring the interplay between population profile and optimal routes in U.S. cities
title_short Exploring the interplay between population profile and optimal routes in U.S. cities
title_sort exploring the interplay between population profile and optimal routes in u s cities
url https://doi.org/10.1038/s41598-025-00308-8
work_keys_str_mv AT diegoortega exploringtheinterplaybetweenpopulationprofileandoptimalroutesinuscities
AT elkakorutcheva exploringtheinterplaybetweenpopulationprofileandoptimalroutesinuscities