利用季节ARIMA模型预测巴格达市Al-Rashediya水站底格里斯河水质指数

Muna Yousif, Abdul-Ahad, Shaymaa Nashat Subhee
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摘要

本研究采用时间序列分析方法对Al-Rashediya水站进水口的TGRIS河水质进行了研究。研究了9年(2013-2021年)日周期、月平均的14项水质测量参数:K+、Na+、T.S.S、T.D.S、SO42-、Cl-、Mg2+、Ca2+、T.H、Alk。、E.C、pH、Turb和Temp,由此计算WQI。对观测到的WQI时间序列的调查表明存在简单的季节行为。采用自相关函数(ACF)和部分自相关函数(PACF)确定WQI时间序列的模型阶数。发现ARIMA(0,1,1)(自回归、综合、移动平均)模型适合生成和预测河流水质。使用拟合统计量、Stationary R-squared、R-squared、RMSE、MAPE、MaxAPE、MAE、MaxAE和Normalized BIC标准来评估生成和预测结果。模型拟合的均值分别为0.250、0.338、106.248、43.119、217.295、73.758、355.509、9.419。Ljung-Box Q(18)的模型统计结果(统计学、DF和Sig.)分别为17.156、17和0.444。以上结果表明,时间序列模型具有较好的水质预测能力。本研究预测的WQI模型对未来24个月的年份(2022年和2023年)进行了预测,显示出增加的趋势,这必须加以考虑和管理。
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Forecasting Monthly Water Quality Index Using a Seasonal ARIMA Model for Tigris River at Al-Rashediya Water Station in Baghdad City
In this study, the quality of TGRIS River is studied at the intake of Al-Rashediya Water Station using time series analysis. 14 measured parameters of water quality, daily periods for 9 years (2013-2021), monthly mean averaged were studied which are: K+, Na+, T.S.S, T.D.S, SO42-, Cl-, Mg2+, Ca2+, T.H, Alk., E.C, pH, Turb, and Temp., from which WQI was calculated.  Investigation of observed WQI time series shows that there is a simple seasonal behavior. The order of model for WQI time series was determined using auto correlation function (ACF) and partial auto correlation function (PACF). ARIMA (0, 1, 1) (autoregressive, integrated, moving average) model was found suitable to generate and forecast the quality of the river water. The fit statistic for, Stationary R-squared, R-squared, RMSE, MAPE, MaxAPE, MAE, MaxAE, and Normalized BIC criteria were used for evaluating the generation and forecasting results. Their MEAN generated for the model fit were 0.250, 0.338, 106.248, 43.119, 217.295, 73.758, 355.509, 9.419, respectively. The model statistics result for Ljung-Box Q (18) (statistics, DF, and Sig.) were 17.156,17, and 0.444 respectively. The above results show that time series modeling is quite capable of water quality forecasting. In this study of the Forecasted WQI model of the becoming 24 months for the years (2022 and 2023) were predicted, shows an increasing trend, which must be considered and managed.
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