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    基于地面站点插值与遥感降尺度的山地区域降雨侵蚀空间数据精度对比研究

    Comparative study on the accuracy of spatial rainfall erosion data in mountainous regions based on ground station interpolation and remote sensing downscaling

    • 摘要: 【目的】降雨侵蚀力因子(R)的空间精度对区域土壤侵蚀预报至关重要。在站点稀疏、地形复杂的山地区域,传统空间插值难以准确反映降水空间分异,融合多源环境变量的统计降尺度虽具理论优势,但与地面插值结果的精度差异尚缺乏系统评估。【方法】以西南高山峡谷区为研究对象,基于GPM遥感降水数据和多尺度地理加权回归(MGWR)降尺度方法,获得2015—2020年全区250m分辨率多年平均R因子。设置不同比例(10%、20%、30%)地面站点验证情景,采用反距离权重(IDW)、普通克里金(OK)两种方法插值生成相同时空分辨率的R因子,系统评估不同方法间的精度差异。【结果】(1)IDW插值、OK插值和MGWR降尺度得到的全区多年平均R因子均值分别为1781、1773和2484 MJ·mm/(hm2·h·a),差异主要源于无站区;IDW与OK空间分布基本一致,但在少站区和无站区与MGWR差异显著。(2)不同验证情景下,降尺度(MGWR)结果在全区的RMSE分别较IDW插值和OK插值降低14%~17%和13%~20%、MAE分别降低18%~24%和16%~25%、R2均显著提高,两种地面插值的精度并无显著差异。(3)MGWR降尺度对R因子精度的提升在少站区更显著。【结论】MGWR降尺度能显著提升R因子空间数据精度,且在站点稀疏区域优势更为突出。研究结果可在为复杂地形或资料缺失区域的降雨侵蚀力空间制图方法优选提供依据。

       

      Abstract: Abstract:ObjectiveThe rainfall erosivity factor (R) is a crucial input parameter for soil erosion models, and the accuracy of its values and spatial distribution is essential for regional and watershed soil erosion prediction and prevention. In high mountain canyon regions with sparse and unevenly distributed stations and complex terrain, traditional spatial interpolation methods struggle to accurately reflect the spatial variability of precipitation. While statistical downscaling that integrates multi-source environmental variables theoretically offers advantages, systematic evaluations of its accuracy differences and variation patterns compared to ground-based interpolation results are still lacking. MethodsTo address this, this study focuses on the high mountain canyon area of southwestern China. Based on GPM remote sensing precipitation data and the Multiscale Geographically Weighted Regression (MGWR) downscaling method, we obtained spatial distribution data of the multi-year average R factor at 250m resolution for the entire region from 2015 to 2020. Under different validation station distribution scenarios (10%, 20%, 30%), we used two common interpolation methods, Inverse Distance Weighting (IDW) and Ordinary Kriging (OK), to derive R factor data with the same temporal sequence and resolution. We then systematically evaluated the accuracy differences among these methods. The results indicate: Results(1) The multi-year average R factor values for the entire region obtained by IDW interpolation, OK interpolation, and MGWR downscaling were 1781, 1773, and 2484 MJ·mm/(hm²·h·a), respectively. These differences were primarily caused by the variation in values in areas without ground stations, mainly in the Himalayan region. The two ground-based interpolation results (IDW and OK) showed relatively consistent values and distributions across the entire region but differed significantly from the downscaling (MGWR) results in areas with few or no stations. (2) Under different proportions of validation station scenarios, the downscaling (MGWR) results showed a reduction in RMSE by 14%–17% and 13%–20% compared to IDW and OK interpolation, respectively, at the regional scale; MAE decreased by 18%–24% and 16%–25%, respectively; and R² significantly increased. There was no significant difference in accuracy between the two ground-based interpolation methods. (3) MGWR downscaling can significantly improve the accuracy of spatial R factor data compared to the two ground-based interpolation methods (IDW and OK), with particularly noticeable improvement in areas with sparse ground stations.Conclusion MGWR downscaling can significantly improve the spatial accuracy of the R factor, with particularly evident advantages in regions with sparse ground observations. The findings can provide a basis for selecting optimal methods for spatial mapping of rainfall erosivity in regions with complex terrain or insufficient data.

       

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