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基于Copula函数的河川径流丰枯遭遇分析
莫淑红1, 沈 冰1, 张晓伟1
西安理工大学 西北水资源与环境生态教育部重点实验室
摘要:
[目的]研究两变量联合概率的分布问题,探讨干支流的丰枯遭遇分析方法.[方法]采用Copula函数,构建了渭河干流及其支流千河年径流的联合概率分布模型,对干支流的丰枯遭遇进行分析,并绘制了干支流联合分布等值线图.[结果]宝鸡市渭河干流年径流量的边际分布服从皮尔逊Ⅲ型分布,而支流千河年径流量的边际分布服从对数正态分布,且干支流同时出现丰水年的概率大于同时出现平、枯水年的概率.[结论]用Copula法描述干支流的丰枯遭遇问题具有可行性.
关键词:  河川径流  丰枯遭遇  Copula函数
DOI:
分类号:
基金项目:国家重点基础研究发展计划项目(2007CB714106);国家自然科学基金项目(50579063);陕西省自然科学基础研究计划项目(2007D02)
Synchronous-Asynchronous encounter probability of rich-poor runoff based on copula function
Abstract:
【Objective】 The research studied the joint probability distribution with two variables and analyzed the synchronous-asynchronous encounter probability of rich-poor runoff of mainstream and tributary.【Method】 The copula theory was applied to construct the joint distribution of annual runoff in the Wei River and the Qian River,the biggest branch of Wei River in Baoji City.The synchronous asynchronous encounter probability of rich-poor runoff was analyzed and the contour map of the joint distribution was obtained.【Result】 The marginal distribution of the annual runoff in the Wei River obeys P-Ⅲ distribution,while that in the Qian River belongs to lognormal distribution,and the synchronous encounter probability of rich runoff in both rivers is greater than the probability of poor and normal runoff. 【Conclusion】 It is feasible to apply Copula function to describe the synchronous-asynchronous encounter probability of rich-poor runoff in mainstream and tributary.
Key words:  river runoff  synchronous-asynchronous encounter probability  Copula function

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