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    基于137Cs示踪与裸岩截断效应的岩溶区RUSLE坡长因子优化

    Optimizing the RUSLE slope length factor in karst areas based on 137Cs tracing and exposed rock truncation effect

    • 摘要: 【目的】地形因子是土壤侵蚀模型中表征坡面汇流过程与侵蚀能量累积的重要参数。传统坡长因子(L)建立在坡面径流连续汇流的假设基础上,难以适用于裸岩广泛分布、径流路径频繁截断的岩溶地区,易导致土壤侵蚀量估算偏差。【方法】针对这一问题,本文以云南典型岩溶小流域为研究对象,基于137Cs示踪、径流小区观测及RUSLE模型,构建了耦合裸岩截断效应的改进坡长因子(LRc)。通过小波分析识别岩溶坡面侵蚀-沉积过程的主导空间尺度,揭示裸岩分布对有效坡长的约束特征;进一步将裸岩率引入坡长表征,构建LRc及RUSLE-Rc模型框架,并分别与径流小区实测数据和137Cs示踪结果进行验证。【结果】结果表明,岩溶坡面侵蚀-沉积过程具有显著空间周期性,其主导尺度为70 m,明显小于非岩溶坡面的200 m,表明裸岩通过截断坡面汇流路径,改变了侵蚀-沉积过程的有效尺度。引入LRc的RUSLE-Rc对两类验证数据的拟合效果均优于RUSLE模型,R²分别提高至0.61和0.69,NSE分别提高至0.52和0.43,PBIAS分别优化至10.31%和5.91%。【结论】这表明岩溶区坡长并非单纯的几何长度,而是受裸岩截断和地表流路连通性共同控制的有效汇流尺度。将裸岩截断效应纳入坡长因子修正,实现了裸岩地表特征在坡长参数中的过程化表达,为复杂岩溶下垫面条件下土壤侵蚀模拟提供了更具物理意义的参数化表达方法。

       

      Abstract: Objective Topographic factors are key parameters of the Revised Universal Soil Loss Equation (RUSLE), as they represent hillslope runoff convergence and the associated accumulation of erosive energy. The conventional slope length factor (L) is formulated under the assumption of continuous downslope runoff. However, this assumption is frequently violated in karst landscapes, where widespread exposed rock can interrupt surface flow paths and shortens the effective slope length, potentially resulting in biased estimates of soil erosion. Methods To address this limitation, a typical karst watershed in Yunnan Province, Southwest China, was selected as the study area. An improved slope length factor (LRc) incorporating the truncation effect of exposed rock was developed using 137Cs tracing, runoff plot observations, and the RUSLE framework. Wavelet analysis was applied to identify the dominant spatial scales of erosion-deposition processes on karst slopes and to examine how exposed rock constrains effective slope length. The exposed rock ratio was subsequently incorporated into the slope length calculation to derive LRc factor and establish RUSLE-Rc model. Model performance was evaluated against both runoff plot measurements and 137Cs -derived soil erosion rates. Results Erosion-deposition process on karst slopes exhibited significant spatial periodicity, with a dominant scale of approximately 70 m, markedly shorter than the 200 m scale identified on non-karst slopes. This contrast indicates that exposed rock not only alters surface cover conditions, but also modifies the spatial scale of erosion–deposition processes by interrupting runoff pathways. Incorporating this truncation effect enabled LRc to more realistically represent effective slope length in karst landscapes and improved the agreement between RUSLE-Rc estimates with both 137Cs-derived erosion rates and runoff plot observations. Compared with the conventional RUSLE model, RUSLE-Rc consistently improved model performance for both validation datasets, with R² values increasing to 0.61 and 0.69, NSE values increasing to 0.52 and 0.43, and PBIAS values decreasing to 10.31% and 5.91%, respectively. Conclusions These results indicate that slope length in karst areas is better interpreted an effective runoff-contributing scale jointly controlled by exposed rock truncation and surface flow-path connectivity, rather than simply as a geometric distance. Incorporating exposed rock truncation into the L factor therefore provides a process- informed parameterization for soil erosion modelling under complex karst surface conditions.

       

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