Global Sensitivity Analysis of CASC2D Hydrological Model Parameters

LI Xiao-ying, ZHANG Jin-hui, ZHAO Hong-jie

Journal of Changjiang River Scientific Research Institute ›› 2025, Vol. 42 ›› Issue (6) : 111-117.

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Journal of Changjiang River Scientific Research Institute ›› 2025, Vol. 42 ›› Issue (6) : 111-117. DOI: 10.11988/ckyyb.20240525
Water-Related Disasters

Global Sensitivity Analysis of CASC2D Hydrological Model Parameters

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Abstract

[Objectives] The parameter calibration of the CASC2D hydrological model is mainly based on manual trial-and-error methods. It lacks a global sensitivity analysis of model parameters and the identification of relationships between parameters and simulation indices based on such analysis. Therefore, there remains considerable room for further exploration and discussion regarding parameter calibration methods and practices for the CASC2D hydrological model. [Methods] The CASC2D model is relatively suitable for flood forecasting in small semi-arid watersheds. This study selected the region upstream of the Suyukou hydrological station in the eastern foothills of the Helan Mountains as the study area. The Sobol index method, a representative global sensitivity analysis approach, was employed. Independent and global sensitivity analyses were conducted for eight key parameters of the CASC2D hydrological model, based on three performance indicators derived from simulation results: peak flow timing, peak discharge, and coefficient of determination. These analyses identified the correlations between model sensitive parameters and model-simulated peak discharge, peak flow timing difference, and coefficient of determination, providing references for model parameter calibration. [Results] The three parameters with the greatest global influence on the peak flow timing were saturated hydraulic conductivity (Ks), channel roughness coefficient (nc), and soil water deficit (Md). The peak flow timing of flood was mainly related to the infiltration calculation in the model. During the flow concentration process, channel routing played a controlling role, while overland flow routing played a supporting role. Additionally, the peak flow timing of flood was negatively correlated with river width (L) and vegetation interception (I), and positively correlated with nc, overland flow roughness coefficient (ns), Ks, capillary pressure head (Hc), and Md. The parameters that had the greatest global influence on peak discharge and coefficient of determination were Ks, Hc, and nc. Flood peak discharge was jointly influenced by infiltration characteristic parameters, overland flow routing parameters, and channel routing parameters. Among them, infiltration characteristics played the dominant role, while in the routing process, overland flow routing was relatively more influential. Coefficient of determination was mainly related to infiltration characteristics and channel routing parameters, with the former being dominant. Additionally, peak discharge showed positive correlations only with nc, ns, Ks, Hc, and Md. Coefficient of determination was negatively correlated with I and Ks, but positively correlated with L, ns, Hc, and Md. [Conclusions] This study further explores and supplements research on global sensitivity analysis of CASC2D hydrological model parameters. It proposes the types and sequence for adjusting eight key parameters in response to errors in peak discharge, peak flow timing, and coefficient of determination during initial calibration. The study also suggests reasonable increase or decrease ranges for each parameter based on their sensitivity to different indicators. These findings provide references for properly selecting the directions and ranges of parameter adjustments during calibration. Due to the interactions among parameters, the selection of adjustment directions and ranges during calibration should be based on each parameter’s independent sensitivity and degree of interaction obtained from the first-order and total effect indices. The research findings can provide references for manual calibration efforts and improve the efficiency of parameter calibration. Furthermore, given the current lack of research on automated calibration for this model, the findings offer strategic guidance for the development of automated calibration algorithms.

Key words

Sobol index method / global sensitivity analysis / CASC2D hydrological model / parameter calibration

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LI Xiao-ying , ZHANG Jin-hui , ZHAO Hong-jie. Global Sensitivity Analysis of CASC2D Hydrological Model Parameters[J]. Journal of Changjiang River Scientific Research Institute. 2025, 42(6): 111-117 https://doi.org/10.11988/ckyyb.20240525

References

[1]
刘增祥, 骆顺成, 陆勇, 等. 河道淤泥气泡混合土物理性质的多因素影响及敏感性分析[J]. raybet体育在线 院报, 2025, 42(1):1-7.
(LIU Zeng-xiang, LUO Shun-cheng, LU Yong, et al. Multi Factor Influence and Sensitivity Analysis of Physical Properties of Mixed Soil with River Silt and Bubbles[J]. Journal of Changjiang River Scientific Research Institute, 2025, 42(1): 1-7. (in Chinese))
[2]
伍鹤皋, 于金弘, 石长征, 等. 基于正交试验法的埋地钢管参数敏感性分析[J]. raybet体育在线 院报, 2021, 38(8):97-103.
Abstract
埋地钢管在设计时需考虑管周土体和沟槽对钢管的影响,但土体力学参数和沟槽形态参数对钢管结构的影响研究不够深入。通过引入正交试验法,以钢管最大竖向变形和钢管顶、腰、底处环向弯曲应力为试验指标,进行回填土变形模量E<sub>1</sub>、砂垫层变形模量E<sub>2</sub>、垫层包角θ、沟槽底部开挖宽度B和沟槽侧壁倾角α关于试验指标的敏感性分析。研究表明:对钢管变形和应力敏感性较高的因素有E<sub>1</sub>、E<sub>2</sub>、α;B的敏感性较低;θ的敏感性最低。埋地钢管的土体变形模量高、沟槽窄对钢管结构有利,沟槽侧壁倾角影响较为复杂,需结合具体工程进行分析。研究成果可为合理选取埋地钢管的结构设计参数,提供一定的参考依据,同时也为类似问题提供一种分析思路。
(WU He-gao, YU Jin-hong, SHI Chang-zheng, et al. Sensitivity Analysis of Buried Steel Pipe Parameters Based on Orthogonal Experimental Method[J]. Journal of Yangtze River Scientific Research Institute, 2021, 38 (8): 97-103. (in Chinese))
In the design of buried steel pipes, the influences of surrounding soil and trench on the steel pipes need to be taken into consideration, which are researched inadequately. The sensitivities of such parameters inclusive of the deformation modulus <i>E</i><sub>1</sub> of backfill, the deformation modulus <i>E</i><sub>2</sub> of sand bedding, the bedding angle <i>θ</i>, the trench bottom width <i>B</i>, and the inclination angle <i>α</i> of trench sidewalls to test indices (maximum vertical deformation of pipe, circumferential bending stresses of pipe top, springline, and bottom) were examined via an orthogonal test method. Results suggest that <i>E</i><sub>1</sub>, <i>E</i><sub>2</sub>, and <i>α </i>are highly sensitive to<i> </i>the test indices, while <i>B </i>bears low sensitivity to the test indices, and <i>θ </i>has the lowest sensitivity. The high soil deformation modulus and narrow excavation trench are beneficial to the structure of buried steel pipes, while the inclination angle of trench sidewalls has a complex influence on pipes and needs to be analyzed in line with specific situation. The research findings provide references for the parameter design of buried steel pipes.
[3]
吴光东, 许继军, Hoshin Gupta, 等. 新安江流域abcd水量平衡模型及参数敏感性分析[J]. raybet体育在线 院报, 2019, 36(7):23-27,40.
Abstract
abcd水量平衡模型在国外得到了广泛应用,但在国内应用基本处于空白状态。为了探究该模型在我国中小流域应用的适应性及有效性,在介绍abcd模型的原理及结构的基础上,将其应用于新安江流域的径流预报模拟。在国内首次对abcd模型的4个参数进行敏感性分析,采用单变量法和多变量法分别探讨模型的性能指标对参数变化的响应程度。结果表明:校验阶段汛期与非汛期Nash确定性系数(Nash-Sutcliffe efficiency, NSE)分别为0.929和0.863,表明拟合程度较高;参数敏感性分析对于提高abcd模型参数率定的效率和精度具有显著意义;单变量法与多变量法结果相近,NSE对参数c最为敏感。通过对比径流模拟值与实测值,得出该模型模拟精度高、具有较高的适应性,能够广泛应用于我国中小流域。
(WU Guang-dong, XU Ji-jun, GUPTA H, et al. The “Abcd” Water Balance Model: Application to Xin’an River Basin and Sensitivity Analysis[J]. Journal of Yangtze River Scientific Research Institute, 2019, 36(7): 23-27, 40. (in Chinese))
Despite wide application abroad, the “<i>abcd</i>” water balance model is barely used in China. In order to explore the applicability and effectiveness of the “<i>abcd</i>” model in small and medium-sized watersheds in China, we first of all expound the principle and structure of the “<i>abcd</i>” model, and applied the model to the runoff forecasting simulation for Xin’an River Basin. Moreover, we examined the sensitivity of four parameters of the “<i>abcd</i>” model for the first time in China by comparing the simulated values with measured values, and further discussed the responses of performance indicators to parameter changes using univariate and multivariate methods. Results manifested that Nash-Sutcliffe efficiency (NSE)in verification is 0.929 in flood season and 0.863 in non-flood season, indicating a high fitting degree. Meanwhile, sensitivity analysis could evidently improve the efficiency and accuracy of calibration. Result of the univariate method is similar to that of the multivariate method, and NSE is the most sensitive to parameter <i>c</i>. In conclusion, the “<i>abcd</i>” model can be widely applied to small and medium-sized watersheds in China with high accuracy and adaptability.
[4]
郭晨煜, 吕海深, 朱永华, 等. WRF-Hydro模型参数在河西内陆河流域的敏感性分析[J]. 水利水电科技进展, 2023, 43(6):120-127.
(GUO Chen-yu, Hai-shen, ZHU Yong-hua, et al. Sensitivity Analysis of WRF-Hydro Model Parameters in the Inland River Basin of Hexi[J]. Progress in Water Resources and Hydropower Technology, 2023, 43 (6): 120-127. (in Chinese))
[5]
CUKIER R I, FORTUIN C M, SHULER K E, et al. Study of the Sensitivity of Coupled Reaction Systems to Uncertainties in Rate Coefficients. I Theory[J]. The Journal of Chemical Physics, 1973, 59(8): 3873-3878.
[6]
CUKIER R I, LEVINE H B, SHULER K E. Nonlinear Sensitivity Analysis of Multiparameter Model Systems[J]. Journal of Computational Physics, 1978, 26(1): 1-42.
[7]
CUKIER R I, SCHAIBLY J H, SHULER K E. Study of the Sensitivity of Coupled Reaction Systems to Uncertainties in Rate Coefficients. III. Analysis of the Approximations[J]. The Journal of Chemical Physics, 1975, 63(3): 1140-1149.
[8]
MORRIS M D. Factorial Sampling Plans for Preliminary Computational Experiments[J]. Technometrics, 1991, 33(2): 161-174.
[9]
SOBOL I M. Sensitivity Estimates for Nonlinear Mathematical Models[J]. Math Modeling & Computational Experiment, 1990(1):112-118.
[10]
李致家, 龚俊超, 孙明坤. 中国半湿润流域WRF-Hydro模型参数敏感性分析[J]. 河海大学学报(自然科学版), 2023, 51(5):1-8,55.
(LI Zhi-jia, GONG Jun-chao, SUN Ming-kun. Parametric Sensitivity Analysis of WRF-hydro Model in a Semi-humid Watershed of China[J]. Journal of Hohai University(Natural Sciences), 2023, 51(5):1-8,55. (in Chinese))
[11]
刘鹏霄, 马立山, 唐中楠, 等. 基于Morris与Sobol法的SWMM模型参数敏感性分析[J]. 河北建筑工程学院学报, 2021, 39(1): 153-158, 163.
(LIU Peng-xiao, MA Li-shan, TANG Zhong-nan, et al. Sensitivity Analysis of SWMM Model Parameters Based on Morris and Sobol Method[J]. Journal of Hebei Institute of Architecture and Civil Engineering, 2021, 39(1): 153-158, 163. (in Chinese))
[12]
QIN C, JIN Y, TIAN M, et al. Comparative Study of Global Sensitivity Analysis and Local Sensitivity Analysis in Power System Parameter Identification[J]. Energies, 2023, 16(16): 5915.
[13]
KALA Z. Global Sensitivity Analysis Based on Entropy: From Differential Entropy to Alternative Measures[J]. Entropy (Basel), 2021, 23(6): 778.
[14]
马瀚青, 张琨, 马春锋, 等. 参数敏感性分析在遥感及生态水文模型中的研究进展[J]. 遥感学报, 2022, 26(2): 286-298.
(MA Han-qing, ZHANG Kun, MA Chun-feng, et al. Research Progress on Parameter Sensitivity Analysis in Ecological and Hydrological Models of Remote Sensing[J]. National Remote Sensing Bulletin, 2022, 26(2): 286-298. (in Chinese))
[15]
毕彪, 钱云楷, 艾宪锋, 等. 基于HYDRUS-1D模拟的降雨入渗条件下VG模型参数敏感性分析[J]. raybet体育在线 院报, 2021, 38(7): 36-41.
Abstract
为了定量描述土壤水力参数变化对HYDRUS-1D模型输出变量10 cm层土壤水分动态分布、累积入渗量及湿润锋运移距离的影响,分别对HYDRUS-1D模型中的VG模型的5个土壤水力参数进行单因素扰动,采用修正的Morris筛选法分析降雨入渗条件下各土壤水力参数的敏感性。结果表明:模型参数的敏感性并不是一成不变的,针对不同的输出结果,参数敏感性随时间变化规律不同,根据研究需要确定参数敏感性区间对简化试验工作具有重要意义;边界条件也是影响模型参数敏感性的重要因素之一;对于不同的受影响研究对象,5个参数的敏感性不同。因此在应用模型模拟时,应该确保高敏感性参数的准确性及边界条件的真实性。
(BI Biao, QIAN Yun-kai, AI Xian-feng, et al. Sensitivity Analysis of VG Model Parameters under Rainfall Infiltration Using HYDRUS-1D Simulation[J]. Journal of Yangtze River Scientific Research Institute, 2021, 38(7): 36-41. (in Chinese))
The aim of this study is to quantify the influence of hydraulic parameters of soil on three output variables of HYDRUS-1D. The three parameters include:dynamic distribution of soil moisture in 10 cm layer, cumulative infiltration capacity, and migration distance of wetting front. By individually perturbing the five hydraulic parameters, namely, <i>θ</i><sub>r</sub>, <i>θ</i><sub>s</sub>, <i>K</i><sub>s</sub>, <i>α</i>, and <i>n</i> in the HYDRUS-1D VG model, we examined the sensitivities of these five parameters under rainfall infiltration by using the modified Morris screening method. Results manifested the importance of determining the intervals of parameter sensitivity to simplifying tests process. The sensitivities of model parameters changed with time depending on different output results. Boundary condition is also a crucial factor that affects the model parameter sensitivity. In addition, the sensitivity of each of the five parameters differs with various research objects. In conclusion, the accuracy of highly sensitive parameters and the authenticity of boundary conditions should be ensured.
[16]
程亦菲, 夏军强, 周美蓉, 等. 一维水沙耦合模型参数敏感性分析:以2020年黄河下游洪水演进为例[J]. 水力发电学报, 2022, 41(12):100-110.
(CHENG Yi-fei, XIA Jun-qiang, ZHOU Mei-rong, et al. Sensitivity Analysis of One-Dimensional Water Sediment Coupling Model Parameters: A Case Study of Flood Evolution in the Lower Yellow River in 2020[J]. Journal of Hydroelectric Power, 2022, 41 (12): 100-110. (in Chinese))
[17]
李承璐. 贺兰山东麓苏峪口流域洪水模拟及预警指标研究[D]. 银川: 宁夏大学, 2023.
(LI Cheng-lu. Study on Flood Simulation and Early Warning Index in Suyukou Watershed at the Eastern Foot of Helan Mountain[D]. Yinchuan: Ningxia University, 2023. (in Chinese))
[18]
刘天怡, 李小明. 基于Sobol指数法的电磁阀参数敏感性分析[C]// 中国科协航空发动机产学联合体,中国空天动力联合会.第七届空天动力联合会议暨中国航天第三专业信息网第四十三届技术交流会论文集. 北京: 中国空天动力联合会, 2023:2-9.
(LIU Tian-yi, LI Xiao-ming. Sensitivity Analysis of Electromagnetic Valve Parameters Based on Sobol Index Method[C]// China Association for Science and Technology Aviation Engine Industry Association, China Aerospace Power Federation. Proceedings of 7th Aerospace Power Joint Conference and 43rd Technical Exchange Conference of China Aerospace Third Professional Information Network. Beijing: China Aerospace Power Federation, 2023:2-9. (in Chinese))
[19]
张汉辰. 基于物理基础的分布式水文模型产汇流研究[D]. 南京: 河海大学, 2019.
ZHANG Han-chen. Research on Distributed Hydrological Models Based on Physical Foundations for Production and Concentration of Flow[D]. Nanjing: Hohai University, 2019. (in Chinese))
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