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Related papers: Space-time correlations in urban population flows

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Population dynamics reflects an underlying birth-death process, where the rates associated with different events may depend on external environmental conditions and on the population density. A whole family of simple and popular…

Populations and Evolution · Quantitative Biology 2019-07-03 Yitzhak Yahalom , Bnaya Steinmetz , Nadav M. Shnerb

We develop a continuous mathematical model of population dynamics that describes the sequential emergence of new genotypes under limited resources. The framework models genotype density as a nonlinear flow in mutation space, combining…

Populations and Evolution · Quantitative Biology 2025-12-10 Alexander Bratus , Tatiana Yakushkina , Vladimir Posvyanski

The causal connection between congestions and velocity changes at different locations induces various statistical features, which we identify and measure in detail. We carry out an empirical analysis of large-scale traffic data on a local…

Physics and Society · Physics 2024-10-10 Shanshan Wang , Michael Schreckenberg , Thomas Guhr

Urban spatial-temporal flows prediction is of great importance to traffic management, land use, public safety, etc. Urban flows are affected by several complex and dynamic factors, such as patterns of human activities, weather, events and…

Machine Learning · Computer Science 2019-08-28 Peng Xie , Tianrui Li , Jia Liu , Shengdong Du , Xin Yang , Junbo Zhang

We consider random walks in dynamic random environments, with an environment generated by the time-reversal of a Markov process from the oriented percolation universality class. If the influence of the random medium on the walk is small in…

Probability · Mathematics 2016-06-02 Matthias Birkner , Jiří Černý , Andrej Depperschmidt

Human mobility, enabled by diverse transportation modes, is fundamental to urban functionality. Studying these movements across scales-from microscopic to macroscopic-yields valuable insights into urban dynamics. Local adaptation and…

Disordered Systems and Neural Networks · Physics 2026-05-21 Babak Benam , Abolfazl Ramezanpour

Monitoring urban structure and development requires high-quality data at high spatiotemporal resolution. While traditional censuses have provided foundational insights into demographic and socioeconomic aspects of urban life, their pace may…

Physics and Society · Physics 2024-03-20 Gezhi Xiu , Jianying Wang , Thilo Gross , Mei-Po Kwan , Xia Peng , Yu Liu

Active flows are central to mixing and transport across living systems. While Newtonian fluids remain laminar, diffusive and predictable at the microscale, living fluids like dense bacterial suspensions can exhibit highly chaotic flows like…

Fluid Dynamics · Physics 2026-05-26 Suvarchalanjan Bellaganti , Amal Manoharan , Kirti Kashyap , Siddhartha Mukherjee

Mathematical models of spatial population dynamics typically focus on the interplay between dispersal events and birth/death processes. However, for many animal communities, significant arrangement in space can occur on shorter timescales,…

Populations and Evolution · Quantitative Biology 2019-06-06 Jonathan R. Potts , Mark A. Lewis

We propose a new model of cluster growth according to which the probability that a new unit is placed in a point at a distance $r$ from the city center is a Gaussian with mean equal to the cluster radius and variance proportional to the…

Physics and Society · Physics 2007-05-23 M. Pica Ciamarra , A. Coniglio

The share of the world population living in cities with more than one million people rose from 11% in 1975 to 24% in 2025 (our estimates). Will this trend towards greater concentration in large cities continue or level off? We introduce two…

Physics and Society · Physics 2026-03-31 Andrea Musso , Diego Rybski , Dirk Helbing , Frank Neffke

Urban vibrancy is the dynamic activity of humans in urban locations. It can vary with urban features and the opportunities for human interactions, but it might also differ according to the underlying social conditions of city inhabitants…

Physics and Society · Physics 2023-11-01 Thomas Collins , Riccardo Di Clemente , Mario Gutiérrez-Roig , Federico Botta

Pervasive infrastructures, such as cell phone networks, enable to capture large amounts of human behavioral data but also provide information about the structure of cities and their dynamical properties. In this article, we focus on these…

The space-time length R between a moving source and the observation point is calculated in order to substitute with it the spatial distance D, normally used in the Newton's law of gravitation, as well as in any inverse-square-law.…

General Physics · Physics 2016-09-21 Giuseppina Modestino

The spatial dynamics of criminal activities has been recently studied through statistical physics methods; however, models and results have been focused on local scales (city level) and much less is known about these patterns at larger…

Physics and Society · Physics 2015-10-14 L. G. A. Alves , E. K. Lenzi , R. S. Mendes , H. V. Ribeiro

The apparantly irregular (unpredictable) space-time fluctuations in atmospheric flows ranging from climate (thousands of kilometers - years) to turbulence (millimeters - seconds) exhibit the universal symmetry of self-similarity.…

General Physics · Physics 2007-05-23 J. S. Pethkar , A. M. Selvam

Is there a general economic pathway recapitulated by individual cities over and over? Identifying such evolution structure, if any, would inform models for the assessment, maintenance, and forecasting of urban sustainability and economic…

Physics and Society · Physics 2020-08-27 Inho Hong , Morgan R. Frank , Iyad Rahwan , Woo-Sung Jung , Hyejin Youn

Urban sprawl reshapes cities, yet its quantitative laws remain elusive. Analyzing built-up expansion in 19 cities (1985-2015) with tools from surface growth physics in radial geometry, we reveal anisotropic, branch-like growth and a…

Physics and Society · Physics 2025-11-04 Ulysse Marquis , Oriol Artime , Riccardo Gallotti , Marc Barthelemy

We consider a general class of Markovian models describing the growth in a randomly fluctuating environment of a clonal biological population having several phenotypes related by stochastic switching. Phenotypes differ e.g. by the level of…

Populations and Evolution · Quantitative Biology 2022-01-25 J. Unterberger

The explosion of data on animal behavior in more natural contexts highlights the fact that these behaviors exhibit correlations across many time scales. But there are major challenges in analyzing these data: records of behavior in single…

Neurons and Cognition · Quantitative Biology 2024-01-23 William Bialek , Joshua W. Shaevitz