---
title: "Autoregressive distributed lag (ARDL): formula and papers"
description: "Autoregressive distributed lag (ARDL) was mentioned in 23 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #41 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/autoregressive-distributed-lag-ardl
markdown_url: https://scholar4ai.com/equations/autoregressive-distributed-lag-ardl.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
share_text: "Autoregressive distributed lag (ARDL) was mentioned in 23 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #41 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)
---

# Autoregressive distributed lag (ARDL)

$$
y_t = \alpha + \sum_{i=1}^{p}\phi_i\, y_{t-i} + \sum_{j=0}^{q}\beta_j^\top x_{t-j} + \varepsilon_t
$$

Regresses a series on its own lags and current and lagged regressors; the bounds test checks for a long-run relation.

- area: Time series
- 3 papers in the last 7 days
- Names searched for: autoregressive distributed lag, ARDL, NARDL, QARDL, CS-ARDL

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

## Key findings

- Autoregressive distributed lag (ARDL) was mentioned in 23 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #41 of the 104 equations and models mentioned.
- By journal category: Economics (11), Finance (7), Management (4) and Operations Research (1).
- Most of them appeared in International Review of Economics & Finance (5), Future Business Journal (4) and The Journal of Economic Asymmetries (3).
- Often mentioned together with Cointegration and error correction (VECM) (10), Ordinary least squares (OLS) (9) and Instrumental variables (two-stage least squares) (7).
- Datasets named in the same papers: World Development Indicators (World Bank) (8), International Energy Agency (IEA) (4) and Economic Policy Uncertainty index (3).
- From Oct 2023 to Sep 2026, 119 archived papers mentioned Autoregressive distributed lag (ARDL) in their title, abstract or keywords, most of them in May 2025 (9).

## 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 |
|---|---:|---:|---:|---:|
|  | 49 | 62 | 8 | 119 |

*Papers mentioning Autoregressive distributed lag (ARDL), newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-23 | [The boiling point: How climate stress fuels crime in a Caribbean context](https://doi.org/10.1016/j.jeca.2026.e00486) | [The Journal of Economic Asymmetries](https://scholar4ai.com/journals/the-journal-of-economic-asymmetries.md) | Hilal Yıldız, Esra Güney | Sakarya University |
| 2026-10-23 | [Evaluating machine learning and econometric models for inflation forecasting: evidence from a Sub-Saharan African panel](https://doi.org/10.1186/s43093-026-01003-4) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Baffour Osei, Abigail Boatemaa, Isaac Nyame et al. | University of Skills Training and Entrepreneurial Development; University of Bradford; Kwame Nkrumah University of Science and Technology; … |
| 2026-10-20 | [Exploring the nexus between renewable energy consumption, ores and metals exports, and foreign direct investment: Evidence from Iceland](https://doi.org/10.1016/j.jeca.2026.e00483) | [The Journal of Economic Asymmetries](https://scholar4ai.com/journals/the-journal-of-economic-asymmetries.md) | Ramil I. Hasanov, Mandeep Mahendru, Amar Rao et al. | Azerbaijan State University of Economics; Samarkand State University named after Sharof Rashidov; Széchenyi István University; … |
| 2026-10-17 | [Threshold asymmetries in Nigeria’s inflation dynamics](https://doi.org/10.1007/s10258-026-00300-8) | [Portuguese Economic Journal](https://scholar4ai.com/journals/portuguese-economic-journal.md) | Ali Umar Ahmad, Bashir Yakubu Sani, Ahmad Rajab Jwailes et al. | Universiti Malaysia Terengganu; Maryam Abacha American University of Nigeria; China University of Geosciences; … |
| 2026-10-12 | [Productivity convergence for the capable? Endogenous capabilities, the great recession, and the effectiveness of EU Cohesion Policy](https://doi.org/10.1007/s00168-026-01569-5) | [The Annals of Regional Science](https://scholar4ai.com/journals/the-annals-of-regional-science.md) | Federico Colozza, Massimo Bagarani, Luigi Salvati | University of Pavia; Marconi University; University of Messina |
| 2026-10-08 | [Entrepreneurship development, corruption perception, and sustainable development outcomes in emerging economies: the moderating role of digital financial inclusion](https://doi.org/10.1186/s43093-026-01019-w) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Seun Adebowale Adebanjo |  |
| 2026-10-08 | [Behavioral drivers of cryptocurrency markets: A systematic review](https://doi.org/10.1016/j.jbef.2026.101265) | [Journal of Behavioral and Experimental Finance](https://scholar4ai.com/journals/journal-of-behavioral-and-experimental-finance.md) | Sebastian Steindl, Hans Rüdiger Kaufmann, Bernd Britzelmaier | University of Nicosia; Pforzheim University of Applied Sciences |
| 2026-10-07 | [Geopolitical risk and the spatial convergence of renewable energy consumption: Evidence from 1996 to 2026](https://doi.org/10.1016/j.iref.2026.105920) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Liu He, 邹佰峰, Xing Chiang | Northeast Agricultural University; Northeast Forestry University; City University of Macau |
| 2026-10-06 | [Asymmetric transmission of oil shocks and geopolitical risk to inflation in an energy-importing economy: multi-threshold evidence from Morocco](https://doi.org/10.1016/j.jeca.2026.e00481) | [The Journal of Economic Asymmetries](https://scholar4ai.com/journals/the-journal-of-economic-asymmetries.md) | Amine Kendri, Hafid El Hassani | Sidi Mohamed Ben Abdellah University |
| 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 | [Accounting for the Unaccounted: Correcting Pakistan’s Grid Electricity Demand Forecasts Using Solar PV Import Proxies and Deep Learning](https://doi.org/10.1007/s10614-026-11439-z) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Muhammad Imran, Atif Khan Jadoon, Tariq Mahmood | University of the Punjab |
| 2026-10-04 | [Watts to wealth: Electricity, efficiency, and industrial asset pricing](https://doi.org/10.1016/j.iref.2026.105924) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Anna Pirogova |  |
| 2026-10-04 | [Capital expenditure and sustainability performance among listed firms in Ghana: the mediating role of ESG disclosure quality](https://doi.org/10.1186/s43093-026-01012-3) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Samuel Antwi, Prince Yeboah Boateng, Edward Asumadu et al. | University of Professional Studies |
| 2026-10-02 | [The impact of international clean energy finance and public policies on the low-carbon energy transition: Evidence from Egypt and Brazil](https://doi.org/10.1016/j.enpol.2026.115647) | [Energy Policy](https://scholar4ai.com/journals/energy-policy.md) | Tunahan Değirmenci, Yusuf Ünsal | Sakarya University; Azerbaijan State University of Economics; Anadolu University |
| 2026-10-01 | [Globalization channels and business cycle synchronization: The roles of capital mobility and China's bilateral trade](https://doi.org/10.1016/j.iref.2026.106000) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Dong Yao, Wanyin Zhong, Liang Chen et al. | Chengdu Jincheng College; Chengdu Medical College |
| 2026-10-01 | [Does energy security reduce growth volatility under uncertainty? New evidence from emerging economies](https://doi.org/10.1016/j.jpolmod.2026.107123) | [Journal of Policy Modeling](https://scholar4ai.com/journals/journal-of-policy-modeling.md) | Do Thi My Huong, Lee Chin, Siong Hook Law | Universiti Putra Malaysia; Ho Chi Minh City Open University; Tashkent State University of Economics |
| 2026-10-01 | [Tourism expansion and sustainable economic growth in Bangladesh: long-run gains or hidden costs?](https://doi.org/10.1186/s43093-026-01016-z) | [Future Business Journal](https://scholar4ai.com/journals/future-business-journal.md) | Md. Mominul Islam | Southeast University |
| 2026-09-30 | [Catalysts or constraints? The dual role of natural resources and greenfield investment amid geopolitical risk](https://doi.org/10.1016/j.enpol.2026.115627) | [Energy Policy](https://scholar4ai.com/journals/energy-policy.md) | Priyanka Pradhan, Rajib Kumar Malik, Narayan Sethi et al. | National Institute of Technology Rourkela; Indian Institute of Management Sambalpur |
| 2026-09-30 | [Long-run dynamics and cyclical patterns of R&D and innovation: evidence from Italy](https://doi.org/10.1016/j.seps.2026.102622) | [Socio-Economic Planning Sciences](https://scholar4ai.com/journals/socio-economic-planning-sciences.md) | A. Ciccarelli, Audrey De Dominicis, Greta Torquati | University of Teramo |
| 2026-09-29 | [Aid disaggregation and revenue response in developing countries: an asymmetric analysis for Pakistan](https://doi.org/10.1007/s10258-026-00298-z) | [Portuguese Economic Journal](https://scholar4ai.com/journals/portuguese-economic-journal.md) | Tahir Mukhtar, Zainab Jehan, Saira Tufail | Fatima Jinnah Women University; International Islamic University, Islamabad |
| 2026-09-29 | [Energy transitions, informal economic pressures, and carbon dynamics: A multidecadal panel assessment of APEC's renewable–efficiency nexus](https://doi.org/10.1016/j.iref.2026.105911) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Hang Wang, Chunnan Wang, Zichen Liu | Beijing Technology and Business University; Nanjing Normal University |
| 2026-09-28 | [Entrepreneurial orientation and technological innovation performance: The mediating role of knowledge transfer in Chinese SMEs](https://doi.org/10.1016/j.iref.2026.105903) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Jiabei He, Jin Shen, Yafang Tao | Jiangsu University of Science and Technology; Nanjing Normal University |
| 2026-09-27 | [Do ESG capabilities buffer climate risk? Firm-level evidence on corporate profitability across U.S. sectors](https://doi.org/10.1016/j.najef.2026.102729) | [The North American Journal of Economics and Finance](https://scholar4ai.com/journals/the-north-american-journal-of-economics-and-finance.md) | Kazeem O. Isah | University of South Africa |

## Cite this page

Scholar4AI. (2026). Autoregressive distributed lag (ARDL). Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/autoregressive-distributed-lag-ardl

```bibtex
@misc{scholar4ai-equations-autoregressive-distributed-lag-ardl,
  author = {{Scholar4AI}},
  title = {Autoregressive distributed lag (ARDL)},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/autoregressive-distributed-lag-ardl}},
  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/).