ARIMA and Exponential Smoothing Model to Forecast Average Annual Precipitation in Bharatpur, Nepal

Sarad Chandra Kafle, Ekta Hooda
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Abstract

Precipitation includes different kinds of moisture that fall from the sky to the Earth's surface, like rain, snow, sleet, hail, or drizzle. In places with flat terrain like Bharatpur, rainfall is the predominant form of precipitation. Therefore, in the plains of Nepal, most of the precipitation comes in the form of rainfall. Rainfall is a natural occurrence known for its unpredictable nature, making it difficult to predict accurately. However, there are statistical methods that can help forecast future rainfall using past data. This research focuses on developing a reliable forecasting model: Auto Regressive Integrated Moving Average and Exponential Smoothing for the prediction of average annual precipitation in Bharatpur, Nepal. The primary objectives are to develop, compare, and identify the superior model between these two approaches. Utilizing average annual adjusted precipitation data (PRECTOTCORR) obtained from the National Aeronautics and Space Administration website for the period 1990 to 2021, both the models were trained and validated using distinct training and test sets. The comparison of these models is based on the minimum Mean Squared Error criterion. The findings reveal that the ARIMA (1, 2, 1) model effectively predicts average annual precipitation in Bharatpur for future periods, outperforming the Exponential Smoothing Model. The results indicate that the time series model for the studied area differs from those of previously examined regions, highlighting the need for a model tailored to the specific characteristics of this region. The research provides valuable insights for stakeholders involved in water management and agricultural planning within the region. Accurate rainfall predictions, as demonstrated by the superior performance of the ARIMA model, can empower decision-making processes related to water resource management and agricultural planning. This, in turn, has the potential to enhance productivity and sustainability outcomes.
预测尼泊尔巴拉特布尔年均降水量的 ARIMA 和指数平滑模型
降水包括从天而降落到地球表面的各种水汽,如雨、雪、雨夹雪、冰雹或细雨。在巴拉特布尔这样地势平坦的地方,降雨是降水的主要形式。因此,在尼泊尔平原地区,大部分降水都以降雨的形式出现。降雨是一种自然现象,具有不可预测的特点,因此很难准确预测。不过,有一些统计方法可以利用过去的数据帮助预测未来的降雨量。这项研究的重点是开发一种可靠的预测模型:自回归综合移动平均法和指数平滑法用于预测尼泊尔巴拉特布尔的年平均降水量。主要目的是开发、比较和确定这两种方法中的优越模型。利用从美国国家航空航天局网站获取的 1990 年至 2021 年调整后年平均降水量数据(PRECTOTCORR),使用不同的训练集和测试集对两种模型进行了训练和验证。这些模型的比较基于最小均方误差标准。研究结果表明,ARIMA(1,2,1)模型能有效预测巴拉特布尔未来时期的年平均降水量,优于指数平滑模型。研究结果表明,所研究地区的时间序列模型与之前研究的地区有所不同,这突出表明需要一个适合该地区具体特点的模型。这项研究为该地区参与水资源管理和农业规划的利益相关者提供了宝贵的见解。ARIMA 模型的卓越性能表明,准确的降雨预测可以增强水资源管理和农业规划相关决策过程的能力。这反过来又有可能提高生产力和可持续性成果。
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