协同矩阵耦合泰森多边形的时空面雨量展布方法——以长江流域为例

Spatio-Temporal Rainfall Distribution Method Based on Synergistic Matrix Coupling Thiessen Polygons:A Case Study in the Yangtze River Basin

面雨量作为区域降雨代表性指标,通常采用多站点展布计算,而多单元周围有效站点的筛选与协同计算是提升展布精度的一大挑战。本文提出一种协同矩阵耦合泰森多边形的时空面雨量展布方法,通过构建站点-控制区域的权重系数矩阵,在空间上实现多站点协同展布,最大程度的利用了相关有效站点信息;以长江流域305个气象站点1980—2019年日降雨观测数据为基础,将站点雨量数据展布到由水资源分区叠加行政分区形成的263个区域上。与传统泰森多边形相比,本方法实现基于多线程的多区域多时段运算,提高了计算效率;同时能够减少气象站点分布不均所带来的误差,特别在流域暴雨天气具有一定的优势。研究表明本方法在多区域多站点面雨量一体化展布时具有较好的适应性。

As a representative indicator of regional rainfall,areal rainfall is usually calculated by multi-site distribution,but the screening and cooperative calculation of effective sites around multiple units becomes a challenge to improve the distribution accu‐racy.This paper proposed a spatial-temporal rainfall distribution method with synergistic matrix coupled Thiessen polygons.By con‐structing the weight coefficient matrix of site-control area,the coordinated distribution of multi-site is realized in space,and the relevant effective site information is utilized to the greatest extent.Based on the daily rainfall observation data of 305 meteorologi‐cal stations in the Yangtze River Basin from 1980 to 2019,the data were distributed to 263 regions formed by superimposing wa‐ter resources divisions and administrative divisions.Compared with the traditional Thiessen polygon,this method realizes the multi-region and multi-period calculation based on multi-threading,which improves the calculation efficiency;at the same time,it can reduce the error caused by the uneven distribution of meteorological stations,especially in the rainstorm weather of the basin.The research shows that this method has good adaptability to the integrated distribution of surface rainfall in multiple regions and stations.