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The SIA method for spatial analysis of precipitation in the upper-middle reaches of the Yangtze River

机译：长江中上游降水空间分析的SIA方法

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摘要

Using geographic information system (GIS) techniques and the newest seasonal and annual average precipitation data of 679 meteorological stations from 1971 to 2000, the multiple regressions equations of the precipitation and topographical variables are established to extract the effect of topography on the annual and seasonal precipitation in the upper-middle reaches of the Yangtze River. Then, this paper uses a successive interpolation approach (SIA), which combines GIS techniques with the multiple regressions, to improve the accuracy of the spatial interpolation of annual and seasonal rainfall. The results are very satisfactory in the case of seasonal rainfall, with the relative error of 6.86%, the absolute error of 13.07 mm, the average coefficient of variation of 0.070, and the correlation coefficient of 0.9675; in the case of annual precipitation, with the relative error of 7.34%, the absolute error of 72.1 mm, the average coefficient of variation of 0.092, and the correlation coefficient of 0.9605. The analyses of annual mean precipitation show that the SIA calculation of 3-5 steps considerably improves the interpolation accuracy, decreasing the absolute error from 211.0 mm to 62.4 mm, the relative error from 20.74% to 5.97%, the coefficient of variation from 0.2312 to 0.0761, and increasing the correlation coefficient from 0.5467 to 0.9619. The SIA iterative results after 50 steps identically converge to the observed precipitation.
机译：利用地理信息系统（GIS）技术和1971年至2000年679个气象站的最新季节性和年度平均降水数据，建立了降水和地形变量的多元回归方程，以提取地形对年度和季节性降水的影响在长江中上游。然后，本文采用逐次插值法（SIA），将GIS技术与多元回归相结合，以提高年降水量和季节降雨的空间插值的准确性。在季节性降雨的情况下，结果是非常令人满意的，相对误差为6.86％，绝对误差为13.07 mm，平均变异系数为0.070，相关系数为0.9675；在年降水量的情况下，相对误差为7.34％，绝对误差为72.1 mm，平均变异系数为0.092，相关系数为0.9605。对年平均降水量的分析表明，通过3-5步的SIA计算，极大地提高了插值精度，将绝对误差从211.0 mm降低至62.4 mm，相对误差从20.74％降低至5.97％，变异系数从0.2312至0.0761，并将相关系数从0.5467增加到0.9619。 50个步骤后的SIA迭代结果完全收敛到观察到的降水。

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