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Evaluation of Regression Models of LOADEST and Eight-Parameter Model for Nitrogen Load Estimations

机译:LOADEST回归模型和氮负荷估算的八参数模型的评估

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摘要

In this study, the Load ESTimator (LOADEST) and eight-parameter regression models were evaluated to estimate instantaneous pollutant loads under various criteria and optimization methods. As shown in the results, LOADEST, commonly used in interpolating pollutant loads, could not necessarily provide the best results with the automatically selected regression model. The various regression models in LOADEST need to be considered to find the best solution based on the characteristics of watersheds. The recently developed eight-parameter model integrated with a genetic algorithm (GA) and the gradient descent method (GDM) was also compared with LOADEST, indicating that the eight-parameter model performed better than LOADEST; however, depending on whether the eight-parameter model was used for calibration or validation, its performance varied. The eightparameter model with GDM could reproduce the nitrogen loads properly outside the calibration period (validation). Furthermore, the accuracy and precision of model estimations were evaluated using various criteria (e.g., R-2, gradient, and constant of a linear regression line). The results showed higher precisions with the R-2 values close to 1.0 in LOADEST and better accuracy with the constants (in linear regression line) close to 0.0 in the eight-parameter model with GDM. Hence, on the basis of these findings, we recommend that users need to evaluate the regression models under various criteria and calibration methods to ensure more accurate and precise results for nitrogen load estimations.
机译:在这项研究中,对负荷估算器(LOADEST)和八参数回归模型进行了评估,以估算各种标准和优化方法下的瞬时污染物负荷。如结果所示,通常用于插值污染物负荷的LOADEST不一定能通过自动选择的回归模型提供最佳结果。需要考虑LOADEST中的各种回归模型,以根据分水岭的特征找到最佳解决方案。还将最近开发的与遗传算法(GA)和梯度下降方法(GDM)集成在一起的八参数模型与LOADEST进行了比较,表明八参数模型的性能优于LOADEST。但是,根据是否使用八参数模型进行校准或验证,其性能会有所不同。使用GDM的八参数模型可以在校准周期(验证)之后正确地再现氮负荷。此外,使用各种标准(例如,R-2,梯度和线性回归线的常数)来评估模型估计的准确性和精确性。结果表明,在带有GDM的八参数模型中,LOADEST中的R-2值接近1.0时精度更高,而常数(在线性回归线中)接近0.0时精度更高。因此,基于这些发现,我们建议用户需要在各种标准和校准方法下评估回归模型,以确保氮负荷估算的结果更加准确和精确。

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