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Introduction to gravity model for beginners

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  • Luigi Capoani

Abstract

This paper provides a didactic and beginner friendly review of the gravity model and its conceptual translation from classical physics into international economics. After a brief introduction, it begins by establishing the structural and mathematical parallels between Newton's law of universal gravitation and the economic gravity equation, demonstrating how economic mass (GDP) attracts trade flows while geographic distance acts as a source of spatial resistance. The paper then examines the deterministic philosophical framework required to apply rigid natural laws to collective human behavior. Finally, it traces the chronological evolution of the literature, highlighting the historical divergence between the physics rooted approach developed by early demographers and Walter Isard and the utility based econometric adaptations that later emerged. The paper ultimately shows that, despite globalization, spatial friction remains a significant and measurable force shaping international trade and geopolitical interactions.

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  • Luigi Capoani, 2026. "Introduction to gravity model for beginners," Papers 2606.10070, arXiv.org.
    • Handle: RePEc:arx:papers:2606.10070
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    References listed on IDEAS

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    1. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    2. McCallum, John, 1995. "National Borders Matter: Canada-U.S. Regional Trade Patterns," American Economic Review, American Economic Association, vol. 85(3), pages 615-623, June.
    3. Walter Isard & Merton J. Peck, 1954. "Location Theory and International and Interregional Trade Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 68(1), pages 97-114.
    4. Walter Isard, 1954. "Location Theory and Trade Theory: Short-Run Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 68(2), pages 305-320.
    5. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-116, March.
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