Human Mobility in a Continuum Approach

Abstract

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 framework, in which previously proposed mobility models like the gravity model, the intervening opportunities model, and the recently introduced radiation model are naturally resulting as special cases. A new form of radiation model is derived and its validity is investigated using observational data offered by commuting trips obtained from the United States census data set, and the mobility fluxesextracted from mobile phone data collected in a western European country. The new modeling paradigm offered by this description suggests that the complex topological features observed in large mobility and transportation networks may be the result of a simple stochastic process taking place on an inhomogeneous landscape.

13 pages, 3 figures

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• Limits of Predictability in Commuting Flows in the Absence of Data for Calibration
• A universal opportunity model for human mobility
• Destination Choice Game: A Spatial Interaction Theory on Human Mobility
• Identifying the structural discontinuities of human interactions
• Infectious disease dynamics in metapopulations with heterogeneous transmission and recurrent mobility
• Gravity model explained by the radiation model on a population landscape
• Some recent advances in urban system science: models and data
• Onset of anomalous diffusion from local motion rules
• Limits of Predictability of Cascading Overload Failures in Spatially-Embedded Networks with Distributed Flows
• Customer mobility and congestion in supermarkets
• Effects of the distant population density on spatial patterns of demographic dynamics
• Characteristics of human mobility patterns revealed by high-frequency cell-phone position data