Evaluating the Effects of Parameter Uncertainty on River Water Quality Predictions

André Fonseca, C. Botelho, R. Boaventura, V. J. Vilar
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Abstract

Due to the high uncertainty of model predictions, it is often challenging to draw definitive conclusions when evaluating river water quality in the context of management options. The major aim of this study is to present a statistical evaluation of the Hydrologic Simulation Program FORTRAN (HSPF), which is a water quality modeling system, and how this modeling system can be used as a valuable tool to enhance monitoring planning and reduce uncertainty in water quality predictions. The authors’ findings regarding the sensitivity analysis of the HSPF model in relation to water quality predictions are presented. The application of the computer model was focused on the Ave River watershed in Portugal. Calibration of the hydrology was performed at two stations over five years, starting from January 1990 and ending in December 1994. Following the calibration, the hydrology model was then validated for another five-year period, from January 1995 to December 1999. A comprehensive evaluation framework is proposed, which includes a two-step statistical evaluation based on commonly used hydrology criteria for model calibration and validation. To thoroughly assess model uncertainty and parameter sensitivity, a Monte Carlo method uncertainty evaluation approach is integrated, along with multi-parametric sensitivity analyses. The Monte Carlo simulation considers the probability distributions of fourteen HSPF water quality parameters, which are used as input factors. The parameters that had the greatest impact on the simulated in-stream fecal coliform concentrations were those that represented the first-order decay rate and the surface runoff mechanism, which effectively removed 90 percent of the fecal coliform from the pervious land surface. These parameters had a more significant influence compared to the accumulation and maximum storage rates. When it comes to the oxygen governing process, the parameters that showed the highest sensitivity were benthal oxygen demand and nitrification/denitrification rate. The insights that can be derived from this study play a critical role in the development of robust water management strategies, and their significance lies in their potential to contribute to the advancement of predictive models in the field of water resources.
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评估参数不确定性对河流水质预测的影响
由于模型预测的不确定性很高,因此在根据管理方案评估河流水质时,要得出明确的结论往往具有挑战性。本研究的主要目的是对水质建模系统水文模拟程序 FORTRAN(HSPF)进行统计评估,并说明如何将该建模系统用作加强监测规划和减少水质预测不确定性的重要工具。作者介绍了 HSPF 模型与水质预测相关的敏感性分析结果。计算机模型的应用主要集中在葡萄牙的阿维河流域。从 1990 年 1 月到 1994 年 12 月,在两个站点进行了为期五年的水文校准。校准之后,又对 1995 年 1 月至 1999 年 12 月的五年期水文模型进行了验证。提出了一个综合评估框架,其中包括根据常用的水文标准对模型校准和验证进行两步统计评估。为了全面评估模型的不确定性和参数敏感性,采用了蒙特卡洛法不确定性评估方法以及多参数敏感性分析。蒙特卡罗模拟考虑了 14 个 HSPF 水质参数的概率分布,这些参数被用作输入因子。对模拟溪流中粪大肠菌群浓度影响最大的参数是代表一阶衰减率和地表径流机制的参数,这些参数可有效去除透水地表 90% 的粪大肠菌群。与累积率和最大储存率相比,这些参数的影响更为显著。在氧气调节过程中,灵敏度最高的参数是本底需氧量和硝化/反硝化率。从本研究中得出的见解对制定稳健的水资源管理策略具有重要作用,其意义在于它们有可能促进水资源领域预测模型的发展。
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