Factors Affecting Dissolved Oxygen at Bengawan Solo River: A Spatial Filtering with Eigenvector Technique

E. Lusiana, A. Darmawan, Sarah Hutahaean, Muhammad Musa, M. Mahmudi, S. Arsad
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Abstract

The quality of the river changes according to the development of the surrounding environment which is influenced by various human activities. Analysis of factors affecting Dissolved Oxygen (DO) at Bengawan Solo River is crucial for river management purpose and pollution control. Previous research suggested the use classic multiple linear regression. However, DO measurement were usually took place of sampling sites along the river channel. Therefore, there is a high chance that the measurements results may spatially correlated. As the consequence, the utilization of multiple linear regression technique for the dataset can be inappropriate. In this paper, we applied a modification of multiple linear regression model to incorporate with spatial autocorrelation that exist in the data by adding control variable such vector eigen to the model which known as Spatial Filtering with Eigenvector (SFE). The results showed that nitrate and nitrite were the predictor variables that have a negative and significant effect. However, the model contains spatial autocorrelation. The application of SFE technique by adding three eigenvectors as control variables in the model succeeded in making the residual model free from spatial autocorrelation. However, a new problem arose where there was a violation of the non-heteroscedasticity assumption.
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班加湾索罗河溶解氧影响因素:特征向量空间滤波
受各种人类活动的影响,河流的水质随着周围环境的发展而变化。分析班加湾梭罗河溶解氧(DO)的影响因素对河流治理和污染控制具有重要意义。以往的研究建议使用经典的多元线性回归。然而,DO测量通常是在河道沿线的采样点进行的。因此,测量结果很有可能在空间上相关。因此,对数据集使用多元线性回归技术可能是不合适的。本文通过在多元线性回归模型中加入控制变量特征向量(eigen),即特征向量空间滤波(spatial Filtering with Eigenvector, SFE),对多元线性回归模型进行了改进,以吸收数据中存在的空间自相关性。结果表明,硝酸盐和亚硝酸盐是负向显著影响的预测变量。然而,该模型包含空间自相关。通过在模型中加入三个特征向量作为控制变量,应用SFE技术使残差模型摆脱了空间自相关。然而,在违反非异方差假设的情况下,出现了一个新的问题。
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