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Related papers: Spatial Selection and the Multiscale Dynamics of U…

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Cities are characterized by the coexistence of general aggregate patterns, along with many local variations. This poses challenges for analyses of urban phenomena, which tend to be either too aggregated or too local, depending on the…

Physics and Society · Physics 2025-09-30 Luís M. A. Bettencourt , Ivanna Rodriguez , Jordan T. Kemp , José Lobo

Are there multiple equilibria in the spatial economy? This paper develops a unified framework that integrates systems of cities and regional models to address this question within a general geographic space. A key feature is the endogenous…

Theoretical Economics · Economics 2025-05-01 Gianandrea Lanzara , Matteo Santacesaria

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

We show here that population growth, resolved at the county level, is spatially heterogeneous both among and within the U.S. metropolitan statistical areas. Our analysis of data for over 3,100 U.S. counties reveals that annual population…

Physics and Society · Physics 2022-10-11 Sandro M. Reia , P. Suresh C. Rao , Marc Barthelemy , Satish V. Ukkusuri

We study the drivers and spatial diffusion of U.S. state population growth using a dynamic spatial model for 49 states, 1965-2017. Methodologically, we recover the spatial network structure from the data, rather than imposing it a priori…

Econometrics · Economics 2026-01-16 Sebastian Kripfganz , Vasilis Sarafidis

The spatial heterogeneity of cities -- the uneven distribution of population and activities -- is fundamental to urban dynamics and related to critical issues such as infrastructure overload, housing affordability, and social inequality.…

Physics and Society · Physics 2025-11-14 Hao Huang , Yuming Lin , Jiazhen Liu

Many large cities are found at locations with certain first nature advantages. Yet, those exogenous locational features may not be the most potent forces governing the spatial pattern of cities. In particular, population size, spacing and…

General Economics · Economics 2019-08-27 Tomoya Mori

Understanding cities is central to addressing major global challenges from climate and health to economic resilience. Although increasingly perceived as fundamental socio-economic units, the detailed fabric of urban economic activities is…

A longstanding puzzle in urban science is whether there's an intrinsic match between human populations and the mass of their built environments. Previous findings have revealed various urban properties scaling nonlinearly with population,…

Physics and Society · Physics 2025-08-11 Kangning Huang , Mingzhen Lu

Stochastic multiplicative dynamics characterize many complex natural phenomena such as selection and mutation in evolving populations, and the generation and distribution of wealth within social systems. Population heterogeneity in…

Physics and Society · Physics 2022-09-21 Jordan T. Kemp , Luís M. A. Bettencourt

Discrete choice models with social interactions or spillovers may exhibit multiple equilibria. This paper provides a systematic approach to enumerating them for a quantitative spatial model with discrete locations, social interactions, and…

General Economics · Economics 2024-01-19 Amine C-L. Ouazad

Human settlements on Earth are scattered in a multitude of shapes, sizes and spatial arrangements. These patterns are often not random but a result of complex geographical, cultural, economic and historical processes that have profound…

Physics and Society · Physics 2021-06-03 Emanuele Strano , Filippo Simini , Marco De Nadai , Thomas Esch , Mattia Marconcini

Population structure induced by both spatial embedding and more general networks of interaction, such as model social networks, have been shown to have a fundamental effect on the dynamics and outcome of evolutionary games. These effects…

Populations and Evolution · Quantitative Biology 2009-11-13 Gergely J Szollosi , Imre Derenyi

We propose a mathematical framework for natural selection in finite populations. Traditionally, many of the selection-based processes used to describe cultural and genetic evolution (such as imitation and birth-death models) have been…

Populations and Evolution · Quantitative Biology 2015-11-18 Alex McAvoy

The massive digital footprints generated by bike-sharing systems in megacities like Shanghai offer a novel perspective on the urban socio-economic fabric. This study investigates whether these daily mobility patterns can quantitatively map…

Physics and Society · Physics 2025-10-13 Yingche Liu , Mengyang Li

The spatial distribution of income shapes the structure and organisation of cities and its understanding has broad societal implications. Despite an abundant literature, many issues remain unclear. In particular, all definitions of…

Physics and Society · Physics 2016-06-22 Rémi Louf , Marc Barthelemy

Traditional approaches to ecosystem modelling have relied on spatially homogeneous approximations to interaction, growth and death. More recently, spatial interaction and dispersal have also been considered. While these leads to certain…

Populations and Evolution · Quantitative Biology 2010-10-07 Thomas Adams \ast , Graeme Ackland , Glenn Marion , Colin Edwards

We introduce a multivariate multidimensional mixed-effects regression model in a finite mixture framework. We relax the usual unidimensionality assumption on the random effects multivariate distribution. Thus, we introduce a…

Methodology · Statistics 2014-10-20 Alessandra Marcelletti , Antonello Maruotti , Giovanni Trovato

This study downscales the population and gross domestic product (GDP) scenarios given under Shared Socioeconomic Pathways (SSPs) into 0.5-degree grids. Our downscale approach has the following features: (i) it explicitly considers spatial…

Applications · Statistics 2017-04-14 Daisuke Murakami , Yoshiki Yamagata

In this paper we analyze urban spatial segregation phenomenon in terms of the income distribution over a population, and inflationary parameter weighting the evolution of housing prices. For this, we develop a discrete, spatially extended…

Adaptation and Self-Organizing Systems · Physics 2007-08-29 Antonio Aguilera , Edgardo Ugalde
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