---
title: "Gravity model of trade: formula and 24 recent papers"
description: "Gravity model of trade was mentioned in 24 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #39 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/gravity-model-of-trade
markdown_url: https://scholar4ai.com/equations/gravity-model-of-trade.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
share_text: "Gravity model of trade was mentioned in 24 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #39 of the 104 equations and models mentioned."
data_url: https://scholar4ai.com/data/rankings.json
updated: 2026-10-26T14:52:47+09:00
window: 2026-09-27 to 2026-10-26
source: OpenAlex (CC0)
---

# Gravity model of trade

$$
X_{ij} = G\,\frac{Y_i^{\beta_1}\, Y_j^{\beta_2}}{D_{ij}^{\beta_3}}
$$

Trade between two countries rises with their economic size and falls with the distance between them.

- area: Growth, trade and environment
- 2 papers in the last 7 days
- Names searched for: gravity model, gravity equation, structural gravity, PPML

Back to the ranking: https://scholar4ai.com/rankings/equations.md

## Key findings

- Gravity model of trade was mentioned in 24 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #39 of the 104 equations and models mentioned.
- By journal category: AI (10), Economics (7), Finance (4), Operations Research (2) and Management (1).
- Most of them appeared in International Review of Economics & Finance (3), Machine Learning (3) and Neural Computing and Applications (2).
- Often mentioned together with Scaled dot-product attention (Transformer) (6), Logistic regression (logit) (4) and Ordinary least squares (OLS) (4).
- Datasets named in the same papers: UCI Machine Learning Repository (2), Labour Force Surveys (1) and OECD statistics (1).
- From Oct 2023 to Sep 2026, 121 archived papers mentioned Gravity model of trade in their title, abstract or keywords, most of them in Sep 2024 (8).

## Mentions over 36 months

*Papers mentioning it by publication month, Oct 2023 to Sep 2026 (titles, abstracts and keywords)*

| Trend | Oct 23–Sep 24 | Oct 24–Sep 25 | Oct 25–Sep 26 | 36 months |
|---|---:|---:|---:|---:|
|  | 54 | 57 | 10 | 121 |

*Papers mentioning Gravity model of trade, newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-23 | [Multimodal continual federated learning for human activity recognition: Trends and challenges](https://doi.org/10.1007/s10489-026-07562-x) | [Applied Intelligence](https://scholar4ai.com/journals/applied-intelligence.md) | André L. S. Conde, Rodolfo I. Meneguette, Robson E. De Grande et al. | Universidade Estadual Paulista (Unesp); Institute of Mathematics and Computer Science; Brock University |
| 2026-10-23 | [Synergizing Disentangled Representation and Split Federated Learning to Break Centralized Bottlenecks in Gaze Estimation](https://doi.org/10.1007/s11263-026-03084-8) | [International Journal of Computer Vision](https://scholar4ai.com/journals/international-journal-of-computer-vision.md) | Yunlong Wang, Zhengquan Luo, Kunbo Zhang et al. | Nanyang Technological University; Chinese Academy of Sciences; Institute of Automation; … |
| 2026-10-15 | [Beyond landlockedness: transit structure, infrastructure, and the geography of trade costs](https://doi.org/10.1007/s10368-026-00817-5) | [International Economics and Economic Policy](https://scholar4ai.com/journals/international-economics-and-economic-policy.md) | Michael Endale | Clark University |
| 2026-10-09 | [The Olympic effect revisited: 1950–2019](https://doi.org/10.1016/j.worlddev.2026.107569) | [World Development](https://scholar4ai.com/journals/world-development.md) | Renjing Chen, Meng Gao, Wenzheng Gao et al. | Wuhan University; Nankai University |
| 2026-10-06 | [N-LAS-IAM: Climate change in a balance-of-payments framework](https://doi.org/10.1016/j.ecolecon.2026.109253) | [Ecological Economics](https://scholar4ai.com/journals/ecological-economics.md) | Wellington Santos de Amorim, Leonardo Flauzino de Souza, Marcelo C. Pereira | Universidade Estadual de Campinas (UNICAMP); Laboratório Nacional de Ciência e Tecnologia do Bioetanol; Universidade Federal de Mato Grosso; … |
| 2026-10-05 | [The empirics of the tourism–growth nexus: how does tourism specialization affect regional growth paths?](https://doi.org/10.1007/s00168-026-01574-8) | [The Annals of Regional Science](https://scholar4ai.com/journals/the-annals-of-regional-science.md) | David Boto‐García, Roberto Balado‐Naves, José Francisco Baños-Pino et al. | Universidad de Oviedo |
| 2026-10-05 | [Beyond productivity: Does ICT agglomeration drive regional eco-efficiency?](https://doi.org/10.1016/j.strueco.2026.09.009) | [Structural Change and Economic Dynamics](https://scholar4ai.com/journals/structural-change-and-economic-dynamics.md) | Maria Chiara D’Errico, Anna Maria Ferragina, Stefano Iandolo et al. | University of Perugia; University of Salerno; École Supérieure du Commerce Extérieur; … |
| 2026-10-05 | [An interpretable vertical federated learning framework based on belief rule bases for long-tailed classification](https://doi.org/10.1016/j.knosys.2026.117129) | [Knowledge-Based Systems](https://scholar4ai.com/journals/knowledge-based-systems.md) | Ziqian Lin, Longhao Yang, Wang Yingming | Fuzhou University |
| 2026-10-05 | [Geoeconomic fragmentation and green exceptionalism: Evidence from trade and finance](https://doi.org/10.1016/j.irfa.2026.105424) | [International Review of Financial Analysis](https://scholar4ai.com/journals/international-review-of-financial-analysis.md) | Jacky Chau | Shenzhen Technology University |
| 2026-10-03 | [Relief policies for equity pledge and corporate innovation: Evidence from Chinese non-state-owned high-tech listed firms](https://doi.org/10.1016/j.iref.2026.105938) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Deqiang Deng, Yuli Wang, Jiawei Liu et al. | Nanjing Forestry University; Central University of Finance and Economics; Newcastle University; … |
| 2026-10-02 | [A privacy-preserving distributed credit evaluation model based on blockchain](https://doi.org/10.1007/s10479-026-07436-y) | [Annals of Operations Research](https://scholar4ai.com/journals/annals-of-operations-research.md) | Xianhua Kuang, Chaoqun Ma, Konstantinos N. Baltas et al. | University of Essex; University of Auckland |
| 2026-10-01 | [ARION: Attention-Optimized Transformer Inference on Encrypted Data](https://doi.org/10.1016/j.eswa.2026.134756) | [Expert Systems with Applications](https://scholar4ai.com/journals/expert-systems-with-applications.md) | Linhan Yang, Jingwei Chen, Wangchen Dai et al. | Sun Yat-sen University; Chongqing Institute of Green and Intelligent Technology; University of Chinese Academy of Sciences; … |
| 2026-10-01 | [Resilience in global digital goods trade networks: A dual-capacity approach based on resistance and recovery](https://doi.org/10.1016/j.iref.2026.105948) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Yin-Ting Zhang, Mo-Lei Chen, Hua Yue | Ningbo University of Finance & Economics; East China Normal University |
| 2026-10-01 | [FedHybrid-ViT: A Federated-Hybrid Framework for Generalizable Deepfake Detection on Heterogeneous Data](https://doi.org/10.1007/s10994-026-07171-2) | [Machine Learning](https://scholar4ai.com/journals/machine-learning.md) | Abdullah Mohammad Sakib, Md. Mohashin Hossain, Mahedy Hasan Foysal et al. | International University of Business Agriculture and Technology; Dhaka International University; United International University |
| 2026-10-01 | [SURGE: Structural Perturbation Response Field Guided Residual Distillation for Graph Unlearning](https://doi.org/10.1007/s10994-026-07176-x) | [Machine Learning](https://scholar4ai.com/journals/machine-learning.md) | Chaofan Shen, Min Wang, Jing Zhang | Southeast University |
| 2026-10-01 | [Bio-inspired reinforcement federated optimization for energy-aware and privacy-preserving healthcare systems](https://doi.org/10.1007/s00521-026-12377-5) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Geetha G, N. Ramshankar | Saveetha University |
| 2026-10-01 | [Collaborative encryption-based machine learning model training method and data protection software system construction](https://doi.org/10.1007/s00521-026-12383-7) | [Neural Computing and Applications](https://scholar4ai.com/journals/neural-computing-and-applications.md) | Dianqing Bao, Wen Su |  |
| 2026-10-01 | [The regional trade dynamics of Türkiye: Moving toward EU or MENA?](https://doi.org/10.1007/s10663-026-09714-1) | [Empirica](https://scholar4ai.com/journals/empirica.md) | Dilara Mumcu Akan, Billür Engın Balın, Ferda Karagöz Özenç | Istanbul University |
| 2026-10-01 | [Finding green start-ups at scale: Automating selection through Natural Language Processing algorithms](https://doi.org/10.1016/j.techfore.2026.124897) | [Technological Forecasting and Social Change](https://scholar4ai.com/journals/technological-forecasting-and-social-change.md) | Stefano Bianchini, Alessandra Colombelli, Baptiste Le Masle et al. | Bureau d'Economie Théorique et Appliquée; Politecnico di Torino; Istituto Universitario di Studi Superiori di Pavia |
| 2026-10-01 | [Financial development and the environmental performance of manufacturing firms: Evidence from India](https://doi.org/10.1016/j.iref.2026.105864) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Xiuxiu Lin | University of Auckland |
| 2026-09-29 | [Review of flow capturing, flow covering, and flow interception models](https://doi.org/10.1016/j.tre.2026.105281) | [Transportation Research Part E Logistics and Transportation Review](https://scholar4ai.com/journals/transportation-research-part-e-logistics-and-transportation-review.md) | H. A. Eiselt, Vladimir Marianov, Zvi Drezner | University of New Brunswick; Pontificia Universidad Católica de Chile; California State University, Fullerton |
| 2026-09-28 | [Artificial intelligence in litigation: a systematic review of applications, challenges, and future directions](https://doi.org/10.1007/s10462-026-11697-1) | [Artificial Intelligence Review](https://scholar4ai.com/journals/artificial-intelligence-review.md) | Zehui Zhao, Mohammed Abdulazeez Jebur, Laith Alzubaidi | Queensland University of Technology; University of Information Technology and Communications |
| 2026-09-28 | [Differentially Private Stochastic Gradient Descent for Outcome Weighted Learning](https://doi.org/10.1007/s10994-026-07168-x) | [Machine Learning](https://scholar4ai.com/journals/machine-learning.md) | Aoli Yang, Jun Fan, Yunwen Lei et al. | Zhejiang Normal University; Hong Kong Baptist University; University of Hong Kong |
| 2026-09-28 | [Energy transition under fragmentation: A threshold analysis of inclusive governance in developing economies](https://doi.org/10.1016/j.enpol.2026.115623) | [Energy Policy](https://scholar4ai.com/journals/energy-policy.md) | Muhammad Azam, Ahmed Imran Hunjra, Vijay Kumar et al. | International University of Rabat; IPAG Business School; University of Waikato; … |

## Cite this page

Scholar4AI. (2026). Gravity model of trade. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/gravity-model-of-trade

```bibtex
@misc{scholar4ai-equations-gravity-model-of-trade,
  author = {{Scholar4AI}},
  title = {Gravity model of trade},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/gravity-model-of-trade}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}
```

License: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/).
