枯水流量概率分布的数学模型

枯水流量概率分布的数学模型

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contributed at 2018-12-04

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Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
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枯水流量概率分布的数学模型

 

(1)概率点距相关系数检验法,简称PPCC(probability plot correlation coefficient)法:

 

 

       

               

式中,x(i)xm分别表示排序后的实测值和实测样本的均值;yi)ym分别是假设分布相应于xi)的理论值和均值,理论上,

 

 

   

   

2)枯水径流的概率分布可选择的理论分布:

 从实用性考虑,各种假设分布的概率点据的计算方法如下:

1)皮尔逊Ⅲ型(P-Ⅲ)分布:

 采用Wilson-Hilfenty变换法计算yt),即:

 

 

          

 

式中,Pi为排序后实测序列中xi)对应的经验频率,这里采用Blom无偏估值公式:

      

    

式中,i为实测序列排序后的序号;n为序列长。

 2)对数皮尔逊Ⅲ型(P-Ⅲ)分布:

           仍采用Wilson-Hilfenty变换法,即:

 

           

P-Ⅲ分布。

       3)截尾正态(TN)分布:

       所谓截尾正态分布是指当正态分布计算值为负时令其为零,即:

 

                

 

4)二参数对数正态(LN-2)分布:

 

             

 

 

5)三参数对数正态(LN-3)分布:

 

            

 

式中,xmσ分别表示ln[x(i)-ɑ]的均值和均方差;ηi同前。

6)耿贝尔(E-1)分布

耿贝尔分布即极值I型分布,将其转换为从大到小排序的逆变换公式

其形式如下:

 

                  

 

式中,αβ为耿贝尔分布参数;Pi用耿贝尔分布的Gringorten公式计算,即:

 

                  

 

冯国章,王双银:河流枯水流量特征研究。自然资源学报,1995,10(2)

 

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How to Cite

《资源环境数学模型手册》 (2018). 枯水流量概率分布的数学模型, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/43c01ef2-75c4-4c7d-ae8a-d55afb15eeab
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Last modifier : 
zhangshuo
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Contributor(s)

initial contribute: 2018-12-04

Authorship

Affiliation:  
岳天祥编著
Email:  
yue@lreis.ac.cn
Homepage:  
View
Is authorship not correct? Feedback

History

Last modifier : 
zhangshuo
Last modify time : 
2020-10-29
Modify times : 
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