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Passenger flows in a traffic network reflect spatial interaction patterns in an urban systems. Gravity models can be employed to quantitatively describe and predict spatial flows. However, how to model passenger flows and reveal the deep…

Physics and Society · Physics 2023-06-21 Zihan Wang , Yanguang Chen

Modeling how human moves in the space is useful for policy-making in transportation, public safety, and public health. Human movements can be viewed as a dynamic process that human transits between states (\eg, locations) over time. In the…

Artificial Intelligence · Computer Science 2021-03-24 Hua Wei , Dongkuan Xu , Junjie Liang , Zhenhui Li

Human traffic along roads can be a major vector for infectious diseases and invasive species. Though most road traffic is local, a small number of long-distance trips can suffice to move an invasion or disease front forward. Therefore,…

Physics and Society · Physics 2020-05-22 Samuel M. Fischer , Martina Beck , Leif-Matthias Herborg , Mark A. Lewis

We develop two statistical models for space-time abundance data based on a stochastic underlying continuous individual movement. In contrast to current models for abundance in statistical ecology, our models exploit the explicit connection…

Applications · Statistics 2024-09-24 Ricardo Carrizo Vergara , Marc Kéry , Trevor Hefley

The description of complex human mobility patterns is at the core of many important applications ranging from urbanism and transportation to epidemics containment. Data about collective human movements, once scarce, has become widely…

Physics and Society · Physics 2022-11-21 Riccardo Gallotti , Davide Maniscalco , Marc Barthelemy , Manlio De Domenico

Global trade is shaped by a complex mix of factors beyond supply and demand, including tangible variables like transport costs and tariffs, as well as less quantifiable influences such as political and economic relations. Traditionally,…

Optimization and Control · Mathematics 2025-11-21 Thomas Gaskin , Guven Demirel , Marie-Therese Wolfram , Andrew Duncan

Understanding the patterns of mobility of individuals is crucial for a number of reasons, from city planning to disaster management. There are two common ways of quantifying the amount of travel between locations: by direct observations…

Physics and Society · Physics 2014-08-25 Vasyl Palchykov , Marija Mitrović , Hang-Hyun Jo , Jari Saramäki , Raj Kumar Pan

We introduce a basic model for human mobility that accounts for the different dynamics arising from individuals embarking on short trips (and returning to their home locations) and individuals relocating to a new home. The differences…

Physics and Society · Physics 2014-10-09 Joseph D. Skufca , Daniel ben-Avraham

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

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

We model human mobility as a combinatorial allocation process, treating trips as distinguishable balls assigned to location-bins and generating origin-destination (OD) networks. From this analogy, we construct a unified three-scale…

Physics and Society · Physics 2025-08-27 Fabio Vanni , David Lambert

Understanding human mobility patterns -- how people move in their everyday lives -- is an interdisciplinary research field. It is a question with roots back to the 19th century that has been dramatically revitalized with the recent increase…

Physics and Society · Physics 2017-02-08 Minjin Lee , Petter Holme

On incorporating special relativity theory into an extended equivalence principle, post-Newtonian gravitational phenomena beyond that originally predicted by Einstein are predicted (required), such as geodetic and gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth Nordtvedt

We test the recently introduced radiation model against the gravity model for the system composed of England and Wales, both for commuting patterns and for public transportation flows. The analysis is performed both at macroscopic scales,…

Physics and Society · Physics 2015-06-05 A. P. Masucci , J. Serras , A. Johansson , M. Batty

The application of Statistical Physics to social systems is mainly related to the search for macroscopic laws, that can be derived from experimental data averaged in time or space,assuming the system in a steady state. One of the major…

Physics and Society · Physics 2015-05-14 Armando Bazzani , Bruno Giorgini , Sandro Rambaldi , Riccardo Gallotti , Luca Giovannini

In this paper, we present a comprehensive survey of human-mobility modeling based on 1680 articles published between 1999 and 2019, which can serve as a roadmap for research and practice in this area. Mobility modeling research has…

Social and Information Networks · Computer Science 2019-06-19 Vaibhav Kulkarni , Benoit Garbinato

Human mobility is a key component of large-scale spatial-transmission models of infectious diseases. Correctly modeling and quantifying human mobility is critical for improving epidemic control policies, but may be hindered by incomplete…

Understanding and predicting human migration patterns is a central challenge in population dynamics research. Traditional physics-inspired gravity and radiation models represent migration flows as functions of attractiveness using…

Applications · Statistics 2024-12-03 Aric Cutuli , Upmanu Lall , Michael J. Puma , Émile Esmaili , Rachata Muneepeerakul

There is a contradiction at the heart of our current understanding of individual and collective mobility patterns. On one hand, a highly influential stream of literature on human mobility driven by analyses of massive empirical datasets…

Physics and Society · Physics 2021-09-16 Laura Alessandretti , Ulf Aslak , Sune Lehmann

We present a generative model of human mobility in which trajectories arise as realizations of a prescribed, time-dependent Markov dynamics defined on a spatial interaction network. The model constructs a hierarchical routing structure with…

Social and Information Networks · Computer Science 2026-01-12 David A. Meyer , Asif Shakeel