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With remarkable significance in migration prediction, global disease mitigation, urban planning and many others, an arresting challenge is to predict human mobility fluxes between any two locations. A number of methods have been proposed…

Physics and Society · Physics 2021-04-01 Xiao-Yong Yan , Tao Zhou

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

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

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

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

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

In this paper, we present a study of a mobility game with uncertainty in the decision-making of travelers and incorporate prospect theory to model travel behavior. We formulate a mobility game that models how travelers distribute their…

Systems and Control · Electrical Eng. & Systems 2024-03-20 Ioannis Vasileios Chremos , Heeseung Bang , Aditya Dave , Viet-Anh Le , Andreas A. Malikopoulos

Uncovering human mobility patterns is of fundamental importance to the understanding of epidemic spreading, urban transportation and other socioeconomic dynamics embodying spatiality and human travel. According to the direct travel diaries…

Physics and Society · Physics 2013-09-24 Xiao-Yong Yan , Xiao-Pu Han , Bing-Hong Wang , Tao Zhou

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

Owing to the big data the extension of physical laws on nonmaterial has seen numerous successes, and human mobility is one of the scientific frontier topics. Recent GPS technology has made it possible to trace detailed trajectories of…

Physics and Society · Physics 2022-03-21 Yohei Shida , Jun'ichi Ozaki , Hideki Takayasu , Misako Takayasu

The gravity model of human mobility has successfully described the deterrence of travels with distance in urban mobility patterns. While a broad spectrum of deterrence was found across different cities, yet it is not empirically clear if…

Physics and Society · Physics 2023-12-19 Oh-Hyun Kwon , Inho Hong , Woo-Sung Jung , Hang-Hyun Jo

We propose new probabilistic models for the spatial distribution of supply and demand and use the models to determine how the trip length distribution is affected by the relative shortage or excess of supply, the spatial clustering of…

Data Analysis, Statistics and Probability · Physics 2011-01-20 Daniele Veneziano , Marta C. Gonzalez

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

A range of early studies have been conducted to illustrate human mobility patterns using different tracking data, such as dollar notes, cell phones and taxicabs. Here, we explore human mobility patterns based on massive tracking data of US…

Data Analysis, Statistics and Probability · Physics 2011-08-08 Bin Jiang , Tao Jia

The vast majority of travel takes place within cities. Recently, new data has become available which allows for the discovery of urban mobility patterns which differ from established results about long distance travel. Specifically, the…

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

Accurate prediction of trips between zones is critical for transportation planning, as it supports resource allocation and infrastructure development across various modes of transport. Although the gravity model has been widely used due to…

Machine Learning · Computer Science 2025-08-04 Kamal Acharya , Mehul Lad , Liang Sun , Houbing Song

Uncovering the mechanism leading to the scaling law in human trajectories is of fundamental importance in understanding many spatiotemporal phenomena. We propose a hierarchical geographical model to mimic the real traffic system, upon which…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Xiaopu Han , Qiang Hao , Binghong Wang , Tao Zhou

Among the realistic ingredients to be considered in the computational modeling of infectious diseases, human mobility represents a crucial challenge both on the theoretical side and in view of the limited availability of empirical data. In…

Physics and Society · Physics 2010-02-04 Duygu Balcan , Vittoria Colizza , Bruno Goncalves , Hao Hu , Jose J. Ramasco , Alessandro Vespignani

Since the presentation of the Radiation Model, much work has been done to compare its findings with those obtained from Gravitational Models. These comparisons always aim at measuring the accuracy with which the models reproduce the…

Physics and Society · Physics 2018-02-20 Duccio Piovani , Elsa Arcaute , Gabriela Uchoa , Alan Wilson , Michael Batty

We propose a resource distribution strategy to reduce the average travel time in a transportation network given a fixed generation rate. Suppose that there are essential resources to avoid congestion in the network as well as some extra…

Statistical Mechanics · Physics 2015-05-13 Shan He , Sheng Li , Hongru Ma
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