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Autoregressive models in environmental forecasting time series: a theoretical and application review
Jatinder Kaur1,2, Kulwinder Singh Parmar3, Sarbjit Singh4
1Department of Mathematics, Guru Nanak Dev University College Verka, Amritsar, Punjab, India, 143501.
This study reviews the evolution of the Autoregressive Integrated Moving Average (ARIMA) model, a powerful tool for environmental and health time series analysis. Hybrid ARIMA models demonstrate superior robustness and pattern-capturing abilities for accurate forecasting.
Area of Science:
- Environmental Science
- Data Science
- Public Health
Background:
- Globalization, industrialization, and urbanization impact the environment and human health.
- Understanding these impacts requires advanced analytical tools like time series analysis.
- The Autoregressive Integrated Moving Average (ARIMA) model is a widely used time series forecasting method.
Purpose of the Study:
- To review the evolutionary stages of the ARIMA model.
- To analyze the application of ARIMA and its hybrid forms in environmental and health contexts.
- To highlight the importance of ARIMA for environmental and health forecasting.
Main Methods:
- Comprehensive literature review of over 100 research papers.
- Analysis of pure ARIMA models and hybrid ARIMA modeling approaches.
- Focus on applications in environment, health, and air quality domains.
Main Results:
- ARIMA models are highly correlated with environmental studies.
- Hybrid ARIMA models show increased robustness and better pattern recognition compared to pure ARIMA.
- Combined models offer more reliable and uniform time series analysis.
Conclusions:
- Hybrid ARIMA models are essential for accurate environmental and health forecasting.
- Forecasting using ARIMA and its variants aids in proactive public health and environmental policy.
- The integration of multiple models or hybrid approaches is a standard practice for robust time series analysis.
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