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The gravity model (GM) analogous to Newton's law of universal gravitation has successfully described the flow between different spatial regions, such as human migration, traffic flows, international economic trades, etc. This simple but…

Physics and Society · Physics 2018-09-19 Hye Jin Park , Woo Seong Jo , Sang Hoon Lee , Beom Jun Kim

Gravity is one of the most prominent models used across various social areas, including economics, demography, mobility, politics, and other systems where spatial interactions are relevant. The model represents a flexible approach that…

Physics and Society · Physics 2025-04-03 Rafael Prieto-Curiel

Despite the long history of modelling human mobility, we continue to lack a highly accurate approach with low data requirements for predicting mobility patterns in cities. Here, we present a population-weighted opportunities model without…

Physics and Society · Physics 2017-10-03 Xiao-Yong Yan , Chen Zhao , Ying Fan , Zengru Di , Wen-Xu Wang

Human mobility is investigated using a continuum approach that allows to calculate the probability to observe a trip to anyarbitrary region, and the fluxes between any two regions. The considered description offers a general and unified…

Physics and Society · Physics 2013-04-02 Filippo Simini , Amos Maritan , Zoltán Néda

Predicting human mobility between locations has practical applications in transportation science, spatial economics, sociology and many other fields. For more than 100 years, many human mobility prediction models have been proposed, among…

Physics and Society · Physics 2021-04-01 Er-Jian Liu , Xiao-Yong Yan

Models of social mobility inspired by the Newton's law of gravity have been used for several decades to describe migrations of people, goods, and information. Despite an eminent reference and widespread use, these models lack the background…

Physics and Society · Physics 2021-02-10 Kirill S. Glavatskiy

Human mobility is a fundamental aspect of social behavior, with broad applications in transportation, urban planning, and epidemic modeling. Represented by the gravity model and the radiation model, established analytical models for…

Physics and Society · Physics 2026-05-07 Hao Guo , Weiyu Zhang , Junjie Yang , Yuanqiao Hou , Lei Dong , Yu Liu

The gravity model, inspired by Newton's law of universal gravitation, has long served as a primary tool for interpreting trade flows between countries, using a country's economic `mass' as a key determinant. Despite its wide application,…

Data Analysis, Statistics and Probability · Physics 2025-07-08 Daekyung Lee , Wonguk Cho , Heetae Kim , Gunn Kim , Hyeong-Chai Jeong , Beom Jun Kim

Modeling of human mobility is critical to address questions in urban planning and transportation, as well as global challenges in sustainability, public health, and economic development. However, our understanding and ability to model…

Physics and Society · Physics 2025-08-01 Oriol Cabanas-Tirapu , Lluís Danús , Esteban Moro , Marta Sales-Pardo , Roger Guimerà

The intrinsic factor that drives the human movement remains unclear for decades. While our observations from intra-urban and inter-urban trips both demonstrate a universal law in human mobility. Be specific, the probability from one…

Physics and Society · Physics 2014-01-17 Xiao Liang , Jichang Zhao , Ke Xu

This study identifies the limitations and underlying characteristics of urban mobility networks that influence the performance of the gravity model. The gravity model is a widely-used approach for estimating and predicting population flows…

Physics and Society · Physics 2021-09-10 Chiawei Hsu , Chao Fan , Ali Mostafavi

Understanding the mechanisms behind human mobility patterns is crucial to improve our ability to optimize and predict traffic flows. Two representative mobility models, i.e., radiation and gravity models, have been extensively compared to…

Physics and Society · Physics 2019-06-10 Inho Hong , Woo-Sung Jung , Hang-Hyun Jo

Trip distribution laws are basic for the travel demand characterization needed in transport and urban planning. Several approaches have been considered in the last years. One of them is the so-called gravity law, in which the number of…

Physics and Society · Physics 2016-01-19 Maxime Lenormand , Aleix Bassolas , José J. Ramasco

We test a recently proposed model of commuting networks on 80 case studies from different regions of the world (Europe and United-States) and with geographic units of different sizes (municipality, county, region). The model takes as input…

Statistics Theory · Mathematics 2018-12-27 Maxime Lenormand , Sylvie Huet , Floriana Gargiulo , Guillaume Deffuant

The gravity model is a mathematical model that applies Newton's universal law of gravitation to socio-economic transport phenomena and has been widely used to describe world trade, intercity traffic flows, and business transactions for more…

Chaotic Dynamics · Physics 2024-11-06 Hajime Koike , Hideki Takayasu , Misako Takayasu

The interaction of all mobile species with their environment hinges on their movement patterns: the places they visit and how frequently they go there. In human society, where the prevalent form of cohabitation is in cities, the highly…

Physics and Society · Physics 2020-02-17 Markus Schläpfer , Michael Szell , Hadrien Salat , Carlo Ratti , Geoffrey B. West

The influence of commuting in socio-economic dynamics increases constantly. Analysing and modelling the networks formed by commuters to help decision-making regarding the land-use has become crucial. This paper presents a simple spatial…

Physics and Society · Physics 2020-03-10 Floriana Gargiulo , Maxime Lenormand , Sylvie Huet , Omar Baqueiro Espinosa

Human mobility describes physical patterns of movement of people within a spatial system. Many of these patterns, including daily commuting, are cyclic and quantifiable. These patterns capture physical phenomena tied to processes studied in…

Applications · Statistics 2023-01-10 Michael J. Kane , Owais Gilani , Simon Urbanek

It is very important to understand urban mobility patterns because most trips are concentrated in urban areas. In the paper, a new model is proposed to model collective human mobility in urban areas. The model can be applied to predict…

Physics and Society · Physics 2014-10-28 Xiao Liang , Jichang Zhao , Li Dong , Ke Xu

Understanding network flows such as commuter traffic in large transportation networks is an ongoing challenge due to the complex nature of the transportation infrastructure and of human mobility. Here we show a first-principles based method…

Physics and Society · Physics 2014-10-21 Yihui Ren , Mária Ercsey-Ravasz , Pu Wang , Marta C. González , Zoltán Toroczkai
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