长江科学院院报 ›› 2022, Vol. 39 ›› Issue (2): 7-13.DOI: 10.11988/ckyyb.20200950

• 河湖保护与治理 • 上一篇    下一篇

基于Copula函数的叶尔羌河水沙丰枯遭遇研究

居金浩1, 彭亮1,2, 何英1,2, 娜扎凯提·托乎提1, 卫仁娟3,4   

  1. 1.新疆农业大学 水利与土木工程学院,乌鲁木齐 830052;
    2.新疆水利工程安全与水灾害防治重点实验室,乌鲁木齐 830052;
    3.四川大学 水利水电学院 水力学与山区河流开发保护国家重点实验室,成都 610065;
    4.四川水利职业技术学院,成都 611230
  • 收稿日期:2020-09-12 修回日期:2020-11-13 出版日期:2022-02-01 发布日期:2022-02-11
  • 通讯作者: 彭 亮(1978-),男,新疆乌鲁木齐人,副教授,硕士,硕士生导师,主要从事干旱区水文过程及水资源利用和保护研究。E-mail: pliang_xjau@qq.com
  • 作者简介:居金浩(1995-),男,浙江嘉兴人,硕士,研究方向为水文水资源。E-mail:627384434@qq.com
  • 基金资助:
    国家自然科学基金项目(51569031);国家国际科技合作专项(2012DFA20520)

Water and Sediment Accumulation in Yarkant River Based on Copula Function

JU Jin-hao1, PENG Liang1,2, HE Ying1,2, NAZAKAT Tohti1, WEI Ren-juan3,4   

  1. 1. College of Water Conservancy and Civil Engineering, Xinjiang Agricultural University, Urumqi 830052, China;
    2. Xinjiang Key Laboratory of Water Conservancy Project Safety and Water Disaster Prevention and Control, Urumqi 830052, China;
    3. State Key Laboratory of Hydraulics and Mountain River Engineering, College of Water Resource and Hydropower,Sichuan University,Chengdu 610065, China;
    4. Sichuan Water Conservancy Vocational and Technical College, Chengdu 611230, China
  • Received:2020-09-12 Revised:2020-11-13 Published:2022-02-01 Online:2022-02-11

摘要: 为了解叶尔羌河水沙关系发展规律,采用叶尔羌河卡群站、库鲁克栏干站的径流量和输沙量资料,利用模比系数法、滑动t检验法和滑动相关系数法诊断水沙关系变异点,基于Copula函数构建水沙二维联合分布模型,对比研究不同时段下的径流量与输沙量丰枯遭遇状况。结果显示:水沙关系在1993年前后发生突变,1993—2015年水沙相关性要强于1954—1992年水沙相关性:变异前后水沙丰枯遭遇同步概率均大于水沙丰枯遭遇异步概率,且“水丰沙枯”和“水枯沙丰”两种类型的概率均为0; 1954—1992年水沙丰枯同步频率为58.97%,1993—2015年水沙丰枯同步频率达到82.61%,水沙关系变异后的水沙丰枯遭遇同步频率增加。 研究结论可为叶尔羌河流域水沙运行调度与管理提供理论依据。

关键词: 水沙关系, Copula函数, 径流量, 输沙量, 叶尔羌河

Abstract: To obtain the development law of runoff and sediment relations in the Yarkant River Basin, the variation point of runoff and sediment relation was diagnosed using the method of modulus coefficient, moving t-test, and moving correlation coefficient based on the data of runoff and sediment of the Kagun and Langan hydrologic stations. The two-dimensional joint distribution model of runoff and sediment was constructed by Copula function. Results manifest that: 1) The relationship between runoff and sediment changed dramatically around 1993. 2) The correlation between runoff and sediment in 1993-2015 was stronger than that in 1954-1992. 3) In different periods, the frequency of synchronous water and sediment was always larger than that of asynchronous water and sediment. The probability of “high water and low sediment” as well as “low water and high sediment” was both zero. 4) The frequency of synchronous water and sediment reached 58.97% from 1954 to 1992, and 82.61% from 1993 to 2015, and ever increased after 1993. The research conclusions offer theoretical basis for the operation and management of water resource in the Yarkant River Basin.

Key words: runoff-sediment relationsship, Copula function, runoff, sediment, Yarkant River

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