基于R软件优化绘制皮尔逊Ⅲ型频率曲线  

Optimization of PearsonⅢFrequency Curve Based on R Software

作　　者：何妹 赵华荣[1] 姚越 金鑫[1] HE Mei;ZHAO Huarong;YAO Yue;JIN Xin(College of Environmental Science and Engineering,Guilin University of Technology,Guilin 541006,China)

机构地区：[1]桂林理工大学环境科学与工程学院,广西桂林541006

出　　处：《人民珠江》2021年第2期7-11,共5页Pearl River

基　　金：国家自然科学基金项目(51369009);广西自然科学基金项目(2016GXNSFAA380116)。

摘　　要：皮尔逊Ⅲ型(P-Ⅲ型)频率曲线是水文分析过程常用的频率分析曲线。以某水文测站47年的年径流量实测资料,根据适线法和纵向离差平方和最小准则确定最优适线参数和频率分布曲线。利用R和Notepad++软件实现了水文频率计算、拟合和制图过程,并且在拟合过程中增加自动查找最优适线参数;最终输出经验频率、统计参数初值、最小纵向离差平方和及最优频率曲线。应用结果表明:运用R软件进行水文频率分析,可以快捷、高效地计算出不同分布参数和频率曲线的离差平方和,提高了拟合精度和工作效率,降低了水文频率计算的工作量,为水文频率曲线的优化绘制提供了一种新的实现方法。The PearsonⅢfrequency curve is a common frequency curve in hydrological analysis process.Based on the 47-year annual runoff data of a hydrological station,this paper defines the optimal fitting parameters and frequency distribution curve according to the curve fitting method and the minimum sum of squares of longitudinal deviation,carries out the hydrological frequency calculation,fitting and mapping through the R and Notepad++software,and adds the automatic finding program of the optimal fitting parameters in the fitting process to output the empirical frequency,the initial value of statistical parameters,the minimum sum of squares of longitudinal deviation and the optimal frequency curve.The application results show that using R software for hydrological frequency analysis can quickly and efficiently calculate the sum of squares of deviation of different distribution parameters and frequency curves,improve the fitting accuracy and work efficiency,and reduce the workload of hydrological frequency calculation,so it is a new method for the optimal drawing of hydrological frequency curve.

关 键 词：R软件 皮尔逊Ⅲ型曲线 水文频率计算 最小纵向离差平方和 

分 类 号：TV11[水利工程—水文学及水资源] P333[天文地球—水文科学]