Forecasting of Monthly Rainfall in Dir (L) KP Pakistan With ARMA Models

Authors

  • Aimal Khan Quaid-i-Azam University, Islamabad. Author
  • Habib Ullah Khan University of Malakand, Chakdara Dir Lower. Author
  • Muhammad Ismail University of Peshawar. Author

DOI:

https://doi.org/10.62345/jads.2025.14.1.57

Keywords:

Ljung-Box Test, Forecast Accuracy, Rainfall Forecasting, ARMA Models, Time Series Analysis Box-Jenkins Methodology, Time Series Analysis

Abstract

This study focuses on forecasting monthly mean rainfall in District Dir (Lower) using various ARMA models to identify the most suitable approach for accurate rainfall prediction. Rainfall forecasting is a critical and intriguing area of study, and the Box-Jenkins methodology, which employs ARMA models, is highly effective for analyzing and forecasting time series with diverse patterns of variation. The ARMA modeling process involves defining, estimating, diagnosing, and forecasting stages, making it well-suited for this application. Based on the analysis, the ARMA (4,4) model emerged as the best fit for the dataset, evaluated using SIGMASQ, AIC, and SC criteria, which yielded the smallest values and confirmed through the Ljung-Box Q-test. Using the ARMA (4,4) model, the study successfully forecasted monthly mean rainfall in District Dir (lower) from June 2022 to May 2028.

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Author Biographies

  • Aimal Khan, Quaid-i-Azam University, Islamabad.

    Department of Statistics, Quaid-i-Azam University, Islamabad. 
    Corresponding Author Email: aimalkhan@stat.qau.edu.pk 

  • Habib Ullah Khan, University of Malakand, Chakdara Dir Lower.

    Department of Statistics, University of Malakand, Chakdara Dir Lower. Email: habibullah858@uom.edu.pk 

  • Muhammad Ismail, University of Peshawar.

    Department of Statistics, University of Peshawar. Email: Ismailfromdirdir@gmail.com 

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Published

2025-03-01

How to Cite

Forecasting of Monthly Rainfall in Dir (L) KP Pakistan With ARMA Models . (2025). Journal of Asian Development Studies, 14(1), 734-750. https://doi.org/10.62345/jads.2025.14.1.57

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