利用基于标准化降水指数的 ARIMA/SARIMA 模型进行阿富汗干旱预测

IF 0.3 Q4 MATHEMATICS Matematika Pub Date : 2023-12-28 DOI:10.11113/matematika.v39.n3.1478
Reza Rezaiy, A. Shabri
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引用次数: 0

摘要

干旱预测在战略规划和地下水供应管理中起着至关重要的作用。在本研究中,我们利用自回归综合移动平均(ARIMA)和季节 ARIMA(SARIMA)模型,基于标准化降水指数(SPI)预测阿富汗的干旱事件。我们使用 1991 年至 2015 年的月平均降水量数据进行模型训练,并使用 2016 年至 2020 年的数据进行模型验证。统计分析包括评估平均绝对误差 (MAE)、均方根误差 (RMSE) 和平均绝对百分比误差 (MAPE),结果表明,在 SPI 3、SPI 6、SPI 9、SPI 12 和 SPI 24 中,应用于 SPI 24 的 SARIMA 模型表现出最准确的预报性能,RMSE(0.1492)、MAE(0.1039)和 MAPE(22.3732%)。随后,采用 ARIMA/SARIMA 模型预测来年的干旱事件。值得注意的是,这是首次对阿富汗的干旱指数进行统计分析。因此,这项研究的成果可应用于各个领域,包括水资源管理和环境预防。
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Using the ARIMA/SARIMA Model for Afghanistan's Drought Forecasting Based on Standardized Precipitation Index
Forecasting drought plays a vital role in strategic planning and the management of underground water supply. In this study, we utilized autoregressive integrated moving average (ARIMA) and Seasonal ARIMA (SARIMA) models to predict drought events in Afghanistan, based on the standardized precipitation index (SPI). We used monthly average precipitation data from 1991 to 2015 for model training, while data from 2016 to 2020 were employed for model validation. The results of the statistical analysis, which  encompassed evaluating Mean Absolute Error (MAE), Root Mean Squared Error (RMSE), and Mean Absolute Percentage Error (MAPE), indicated that among the SPI 3, SPI 6, SPI 9, SPI 12, and SPI 24, the SARIMA models applied to the SPI 24 demonstrated the most accurate forecasting performance with RMSE (0.1492), MAE (0.1039), and MAPE (22.3732%) compared to SPI 3, SPI 6, SPI 9, and SPI 12. Subsequently, the ARIMA/SARIMA models were employed to forecast drought events for the upcoming year. It’s noteworthy that this constitutes the first-ever statistical analysis of the drought index in Afghanistan. Therefore, the outcomes of this study can be applied across diverse sectors, including water resource management and environmental precautions.
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来源期刊
Matematika
Matematika MATHEMATICS-
自引率
25.00%
发文量
0
审稿时长
24 weeks
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