泰森多边形法在小流域面雨量计算中的应用

为探究泰森多边形法在小流域面雨量计算中的适用性，以地处江淮丘陵区适宜进行产汇流机制等水文基础理论研究的典型闭合小流域花山流域为例，结合流域现状站点分布和地形特点，选取流域多年面雨量、典型场次与典型日面雨量三种不同降雨量级实例，分别采用算术平均法、泰森多边形法和等值线法计算面雨量进行对比。年面雨量和场次面雨量计算中泰森多边法对比等值线法计算值相对误差小于 1.00%，日面雨量计算值相对误差小于 2.00%；算术平均法在典型场次面雨量样本中有 40.0%的计算值相对误差大于 1.00%，最大相对误差为 -2.47%，在典型日面雨量样本中有36.8%的计算值相对误差大于 2.00%，最大相对误差为 9.38%。结果表明：不同降雨量级使用泰森多边形法计算面雨量比算术平均法更接近于等值线法计算值；算术平均法在降雨量较小时受局部降雨影响计算误差较大，在年面雨量计算时可以和泰森多边形法互换使用。

Application of Thiessen Polygon method in area rainfall calculation of small basin

In order to explore the applicability of Thiessen Polygon method in the calculation of areal rainfall in small basins, Huashan basin, a typical closed small basin located in the Jianghuai hilly area, which is suitable for the basic hydrological theory research such as runoff yield and concentra-tion mechanism, is taken as an example. In combination with the distribution of current stations and topographic characteristics of the basin , three different rainfall magnitude examples are selected, namely, multi-year areal rainfall, typical field and typical daily rainfall. The arithmetic mean method for the calculation of surface rainfall compares with the Thiessen Polygon method and the con-tour method. By analyzing the data, it can be concluded that the relative error of the Thiessen multi-lateral method compared to the contour method in calculating annual and regional rainfall can be con-trolled within 1.00%, and the daily rainfall calculation should not exceeded 2.00%; The relative error of 40.0% of the calculated values of the arithmetic mean method in the typical field samples exceeds 1.00%, with a maximum of -2.47%. The relative error of 36.8% of the calculated values in the typical daily samples exceeded 2.00%, with a maximum of 9.38%. The results showed that the surface rainfall calculated by Thiessen Polygon method was closer to the isoline method than that calculated by arith-metic mean method for different rainfall magnitudes; The calculation error of arithmetic mean method was large due to the influence of local rainfall when the rainfall was small, so it can be used inter-changeably with Thiessen Polygon method when calculating annual rainfall.