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Related papers: The gravity model for social systems

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Modeling of human mobility is critical to address questions in urban planning and transportation, as well as global challenges in sustainability, public health, and economic development. However, our understanding and ability to model…

Physics and Society · Physics 2025-08-01 Oriol Cabanas-Tirapu , Lluís Danús , Esteban Moro , Marta Sales-Pardo , Roger Guimerà

Human mobility is a fundamental aspect of social behavior, with broad applications in transportation, urban planning, and epidemic modeling. Represented by the gravity model and the radiation model, established analytical models for…

Physics and Society · Physics 2026-05-07 Hao Guo , Weiyu Zhang , Junjie Yang , Yuanqiao Hou , Lei Dong , Yu Liu

Understanding the mechanisms behind human mobility patterns is crucial to improve our ability to optimize and predict traffic flows. Two representative mobility models, i.e., radiation and gravity models, have been extensively compared to…

Physics and Society · Physics 2019-06-10 Inho Hong , Woo-Sung Jung , Hang-Hyun Jo

Models of social mobility inspired by the Newton's law of gravity have been used for several decades to describe migrations of people, goods, and information. Despite an eminent reference and widespread use, these models lack the background…

Physics and Society · Physics 2021-02-10 Kirill S. Glavatskiy

The Gravity Model is the workhorse for empirical studies in International Economies for its empirical power and it is commonly used in explaining the trade flow between countries; it relies on a function that relates the trade with the…

Applications · Statistics 2013-10-17 Rodolfo Metulini

The gravity model, inspired by Newton's law of universal gravitation, has long served as a primary tool for interpreting trade flows between countries, using a country's economic `mass' as a key determinant. Despite its wide application,…

Data Analysis, Statistics and Probability · Physics 2025-07-08 Daekyung Lee , Wonguk Cho , Heetae Kim , Gunn Kim , Hyeong-Chai Jeong , Beom Jun Kim

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

The attraction measure, scaling exponent, and impedance function of the gravity model are redefined using the concepts from fractals and spatial complexity. Firstly, the attraction measure of spatial interaction in human systems is defined…

Physics and Society · Physics 2013-06-18 Yanguang Chen , Feng Xu

We give a critical overview of various attempts to describe gravity as an emergent phenomenon, starting from examples of condensed matter physics, to arrive to more sophisticated pregeometric models. The common line of thought is to view…

General Relativity and Quantum Cosmology · Physics 2012-05-15 Lorenzo Sindoni

Cities are systems with a large number of constituents and agents interacting with each other and can be considered as emblematic of complex systems. Modeling these systems is a real challenge and triggered the interest of many disciplines…

Physics and Society · Physics 2019-10-23 Marc Barthelemy

The gravity model is a mathematical model that applies Newton's universal law of gravitation to socio-economic transport phenomena and has been widely used to describe world trade, intercity traffic flows, and business transactions for more…

Chaotic Dynamics · Physics 2024-11-06 Hajime Koike , Hideki Takayasu , Misako Takayasu

The movements of individuals within and among cities influence critical aspects of our society, such as well-being, the spreading of epidemics, and the quality of the environment. When information about mobility flows is not available for a…

Machine Learning · Computer Science 2022-05-02 Filippo Simini , Gianni Barlacchi , Massimiliano Luca , Luca Pappalardo

The gravity model (GM) analogous to Newton's law of universal gravitation has successfully described the flow between different spatial regions, such as human migration, traffic flows, international economic trades, etc. This simple but…

Physics and Society · Physics 2018-09-19 Hye Jin Park , Woo Seong Jo , Sang Hoon Lee , Beom Jun Kim

This study identifies the limitations and underlying characteristics of urban mobility networks that influence the performance of the gravity model. The gravity model is a widely-used approach for estimating and predicting population flows…

Physics and Society · Physics 2021-09-10 Chiawei Hsu , Chao Fan , Ali Mostafavi

Identifying important nodes is one of the central tasks in network science, which is crucial for analyzing the structure of a network and understanding the dynamical processes on a network. Most real-world systems are time-varying and can…

Physics and Society · Physics 2021-05-19 Jialin Bi , Ji Jin , Cunquan Qu , Xiuxiu Zhan , Guanghui Wang

In this paper, based on the gravity principle of classical physics, we propose a tunable gravity-based model, which considers tag usage pattern to weigh both the mass and distance of network nodes. We then apply this model in solving the…

Physics and Society · Physics 2015-06-16 Jin-Hu Liu , Zi-Ke Zhang , Chengcheng Yang , Lingjiao Chen , Chuang Liu , Xueqi Wang

Introduced in its contemporary form by George Kingsley Zipf in 1946, but with roots that go back to the work of Gaspard Monge in the 18th century, the gravity law is the prevailing framework to predict population movement, cargo shipping…

Physics and Society · Physics 2012-04-20 Filippo Simini , Marta C. González , Amos Maritan , Albert-László Barabási

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

Recent years have witnessed an explosion of extensive geolocated datasets related to human movement, enabling scientists to quantitatively study individual and collective mobility patterns, and to generate models that can capture and…

Studies using massive, passively data collected from communication technologies have revealed many ubiquitous aspects of social networks, helping us understand and model social media, information diffusion, and organizational dynamics. More…

Physics and Society · Physics 2015-02-04 Jameson L. Toole , Carlos Herrera-Yague , Christian M. Schneider , Marta C. Gonzalez
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