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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

Gravity is one of the most prominent models used across various social areas, including economics, demography, mobility, politics, and other systems where spatial interactions are relevant. The model represents a flexible approach that…

Physics and Society · Physics 2025-04-03 Rafael Prieto-Curiel

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 structure of the International Trade Network (ITN), whose nodes and links represent world countries and their trade relations respectively, affects key economic processes worldwide, including globalization, economic integration,…

Physics and Society · Physics 2024-09-21 Assaf Almog , Rhys Bird , Diego Garlaschelli

Recent events such as the global financial crisis have renewed the interest in the topic of economic networks. One of the main channels of shock propagation among countries is the International Trade Network (ITN). Two important models for…

General Finance · Quantitative Finance 2015-02-23 Assaf Almog , Tiziano Squartini , Diego Garlaschelli

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 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

The World Trade Web (WTW) is the network of international trade relationships among world countries. Characterizing both the local link weights (observed trade volumes) and the global network structure (large-scale topology) of the WTW via…

Physics and Society · Physics 2022-12-23 Marzio Di Vece , Diego Garlaschelli , Tiziano Squartini

Aquatic non-indigenous species (NIS) pose significant threats to biodiversity, disrupting ecosystems and inflicting substantial economic damages across agriculture, forestry, and fisheries. Due to the fast growth of global trade and…

Machine Learning · Computer Science 2024-07-12 Ruixin Song , Gabriel Spadon , Ronald Pelot , Stan Matwin , Amilcar Soares

The gravity models has been studied to analyze interaction between two objects such as trade amount between a pair of countries, human migration between a pair of countries and traffic flow between two cities. Particularly in the…

Computational Engineering, Finance, and Science · Computer Science 2024-08-06 Naoto Minakawa , Kiyoshi Izumi , Hiroki Sakaji

This paper investigates whether the gravity model (GM) can explain the statistical properties of the International Trade Network (ITN). We fit data on international-trade flows with a GM specification using alternative fitting techniques…

General Finance · Quantitative Finance 2011-12-14 Marco Duenas , Giorgio Fagiolo

The main purpose of this paper is to seek a mechanical interpretation of gravitational phenomena. We suppose that the universe may be filled with a kind of fluid which may be called the $\Omega (0)$ substratum. Thus, the inverse-square law…

General Physics · Physics 2017-12-29 Xiao-Song Wang

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

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

Tools of the theory of critical phenomena, namely the scaling analysis and universality, are argued to be applicable to large complex web-like network structures. Using a detailed analysis of the real data of the International Trade Network…

General Finance · Quantitative Finance 2009-11-13 K. Bhattacharya , G. Mukherjee , J. Saramaki , K. Kaski , S. S. Manna

In the economic literature, geographic distances are considered fundamental factors to be included in any theoretical model whose aim is the quantification of the trade between countries. Quantitatively, distances enter into the so-called…

In this paper we analyze the gravity model in the world passenger air-transport network. We show that in the standard form the model is inadequate to correctly describe the relationship between passenger flows and typical geo-economic…

Physics and Society · Physics 2016-11-28 Tomasz Ryczkowski , Agata Fronczak , Piotr Fronczak

Gravity equations are often used to evaluate the effects of trade policies, such as regional trade agreements. We argue that their suitability for this purpose critically depends on their ability to produce unbiased out-of-sample…

General Economics · Economics 2026-04-21 Nicolas Apfel , Holger Breinlich , Nick Green , Dennis Novy , J. M. C. Santos Silva , Tom Zylkin

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

Euler's interpretation of Newton's gravity (NG) as Archimedes' thrust in a fluid ether is presented in some detail. Then a semi-heuristic mechanism for gravity, close to Euler's, is recalled and compared with the latter. None of these two…

General Physics · Physics 2007-05-23 Mayeul Arminjon
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