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自动基流分割方法在黄土高原昕水河流域适用性分析

亢小语 张志强 陈立欣 许行 冷曼曼

亢小语, 张志强, 陈立欣, 许行, 冷曼曼. 自动基流分割方法在黄土高原昕水河流域适用性分析[J]. 北京林业大学学报, 2019, 41(1): 92-101. doi: 10.13332/j.1000-1522.20180087
引用本文: 亢小语, 张志强, 陈立欣, 许行, 冷曼曼. 自动基流分割方法在黄土高原昕水河流域适用性分析[J]. 北京林业大学学报, 2019, 41(1): 92-101. doi: 10.13332/j.1000-1522.20180087
Kang Xiaoyu, Zhang Zhiqiang, Chen Lixin, Xu Hang, Leng Manman. Applicability of automatic baseflow separation method in Xinshui River Basin of the Loess Plateau, northern China[J]. Journal of Beijing Forestry University, 2019, 41(1): 92-101. doi: 10.13332/j.1000-1522.20180087
Citation: Kang Xiaoyu, Zhang Zhiqiang, Chen Lixin, Xu Hang, Leng Manman. Applicability of automatic baseflow separation method in Xinshui River Basin of the Loess Plateau, northern China[J]. Journal of Beijing Forestry University, 2019, 41(1): 92-101. doi: 10.13332/j.1000-1522.20180087

自动基流分割方法在黄土高原昕水河流域适用性分析

doi: 10.13332/j.1000-1522.20180087
基金项目: 

“三北”地区防护林体系结构定向调控技术研究与示范 2015BAD07B03

详细信息
    作者简介:

    亢小语。主要研究方向:水土保持、生态水文与流域管理。Email:kxy942698@126.com  地址:100083北京市海淀区清华东路35号北京林业大学水土保持学院

    责任作者:

    张志强,博士,教授。主要研究方向:侵蚀控制、生态水文与流域管理。Email:zhqzhang@bjfu.edu.cn  地址:同上

  • 中图分类号: S157; P333

Applicability of automatic baseflow separation method in Xinshui River Basin of the Loess Plateau, northern China

  • 摘要: 目的昕水河流域是晋西北黄土高原重点流域内的代表性河流,是黄土高原水土流失最严重的地区之一。在黄土高原昕水河流域选择适宜的基流分割方法十分重要。方法本文以黄土高原昕水河流域大宁水文站1956—2014年实测径流资料为基础,采用目前国内外普遍采用的4类8种自动基流分割方法进行基流分割,包括数字滤波法(Lyne-Hollick滤波法(DF one)和Eckhardt滤波法(DF two))、基流指数法(标准法和改进法)、时间步长法(固定时间间隔法、滑动时间间隔法、局部最小值法)和PART法,并利用Nash-Sutcliffe系数(E值)和平均相对误差法(MRE值)对基流分割结果进行评价,并通过基流指数特征值和流量过程线,分析不同基流分割方法在昕水河流域的适用性。结果DF one(0.925,3次)的准确度更高(E=0.76,MRE=1.24%),所分割基流过程线较为平滑,能够较好的反映出昕水河流域流量过程线退水段的物理规律。结论应用DF one(0.925,3次)对昕水河流域进行基流分割是一种稳定可靠的方法。昕水河流域多年基流量平均值为0.45亿m3,多年平均基流指数为0.366。

     

  • 图  1  昕水河流域地形、水文站、气象(雨量)站分布图

    Figure  1.  Distribution map of topography, hydrological station and meteorological (rainfall) station of the Xinshui River Basin in the Loess Plateau

    图  2  PART法分割昕水河流域基流年际变化趋势图

    Figure  2.  Chart of the baseflow trend in Xinshui River Basin by the PART method

    图  3  HYSEP法分割昕水河流域基流年际变化趋势图

    SL.滑动时间间隔法; LM.局部最小值法; FI.固定时间间隔法。下同。SL, sliding interval method; LM, local minimum method; FI, local minimum method; FI, fixed interval method. The same below.

    Figure  3.  Chart of the baseflow trend in Xinshui River Basin by HYSEP

    图  4  基于BFIf、BFIk计算的基流指数随时间步长(N值)变化

    BFIf.基流指数标准法; BFIk.基流指数改进法。下同。BFIf, baseflow index standard method; BFIk, baseflow index modifed method. The same below.

    Figure  4.  Variations of baseflow index with time step (N value) based on BFIf and BFIk method

    图  5  BFI法分割昕水河流域基流年际变化趋势图

    Figure  5.  Chart of baseflow trend in Xinshui River Basin by BFI method

    图  6  one分割昕水河流域基流年际变化趋势图

    Figure  6.  Chart of the baseflow trend in Xinshui River Basin by DF one

    图  7  DF two分割昕水河流域基流年际变化趋势图

    Figure  7.  Chart of baseflow trend in Xinshui River Basin by the DF two method

    图  8  不同基流分割方法平水年(1984)、丰水年(1985)和枯水年(1986)的流量过程线

    Figure  8.  Runoff process lines in median water year (1984), high water year (1985) and low water year (1986) under different base flow separation methods

    图  9  不同基流分割方法的各年基流指数箱型图

    Figure  9.  Annual baseflow index box plot of different baseflow separation methods

    图  10  不同基流分割方法年基流量估算值与枯水指数估测值对比

    Figure  10.  Comparison of annual baseflow estimation and dry water index estimation for different baseflow separation methods

    表  1  昕水河流域各雨量站、气象站和水文站的基本信息

    Table  1.   Basic information of rain stations, weather stations and water stations in Xinshui River Basin

    站别
    Station type
    站名
    Station name
    高程
    Elevation/m
    经度
    Longitude
    纬度
    Latitude
    数据序列
    Data series
    雨量、气象站
    Rainfall, meteorology station
    下李Xiali 111°01′12″E 36°48′36″N 1977—2014
    (降水Rainfall)
    三多
    Sanduo
    110°49′12″E 36°23′24″N 1977—2014
    (降水Rainfall)
    交口
    Jiaokou
    111°11′24″E 36°59′24″N 1977—2014
    (降水Rainfall)
    大宁
    Daning
    765.9 110°27′00″E 36°16′48″N 1973—2006
    (气象Meteorology)
    1958—2015
    (降水、气象Rainfall, meteorology)
    侯马
    Houma
    433.8 111°22′12″E 35°39′00″N 1958—2016
    (降水、气象Rainfall, meteorology)
    吉县
    Jixian
    851.3 110°40′48″E 36°04′48″N 1958—2016
    (降水、气象Rainfall, meteorology)
    临汾
    Linfen
    449.5 111°30′00″E 36°03′00″N 1958—2016
    (降水、气象Rainfall, meteorology)
    隰县Xixian 1 052.7 110°54′00″E 36°46′48″N 1958—2016
    (降水、气象Rainfall, meteorology)
    太谷
    Taigu
    785.8 111°55′12″E 37°01′48″N 1958—2016
    (降水、气象Rainfall, meteorology)
    离石
    Lishi
    950.8 111°06′00″E 37°03′00″N 1959—2016
    (降水、气象Rainfall, meteorology)
    蒲县
    Puxian
    1 030.6 111°03′36″E 36°14′24″N 1960—2006
    (气象Meteorology)
    水文站
    Hydrological station
    大宁
    Daning
    765.9 110°27′00″E 36°16′48″N 1956—2014
    下载: 导出CSV

    表  2  DF one与其他方法基流指数比较

    Table  2.   Comparison of BFI between DF one and other methods

    年份Year DF one HYSEP BFI
    β=0.95 β=0.925 β=0.85 SL LM FI BFIf BFIk
    第1次
    First time
    第2次
    Secondtime
    第3次
    Third time
    第1次
    First time
    第2次
    Secondtime
    第3次
    Third time
    第1次
    First time
    第2次
    Secondtime
    第3次
    Third time
    1984 0.631 0.475 0.401 0.674 0.530 0.457 0.734 0.614 0.549 0.563 0.573 0.557 0.459 0.458
    1985 0.556 0.392 0.317 0.599 0.441 0.367 0.668 0.528 0.454 0.476 0.404 0.498 0.373 0.363
    1986 0.674 0.552 0.479 0.713 0.600 0.531 0.776 0.675 0.615 0.639 0.645 0.637 0.591 0.588
    1984—1986 0.602 0.448 0.374 0.645 0.499 0.426 0.709 0.583 0.515 0.534 0.505 0.542 0.493 0.434
    下载: 导出CSV

    表  3  不同自动基流分割方法各年基流指数值的统计特征

    Table  3.   Statistical characteristics of the annual baseflow index of different automatic baseflow separation methods

    统计值
    Statistic value
    PART HYSEP BFI 数字滤波法
    Digital filtering method
    SL LM FI BFIf BFIk DF one DF two
    最大值Maximum 0.845 0.806 0.826 0.829 0.795 0.779 0.675 0.777
    最小值Minimum 0.247 0.274 0.240 0.265 0.209 0.211 0.226 0.482
    极值比Extreme ratio 3.424 2.941 3.444 3.123 3.806 3.695 2.982 1.613
    平均值Average 0.505 0.487 0.468 0.488 0.430 0.431 0.402 0.640
    标准差Standard deviation 0.160 0.141 0.146 0.144 0.144 0.144 0.123 0.078
    变差系数Variation coefficient 0.313 0.288 0.309 0.294 0.332 0.331 0.305 0.165
    下载: 导出CSV

    表  4  不同基流分割方法准确性分析

    Table  4.   Accuracy analysis of different baseflow separation methods

    方法Method 项目Item E MRE/%
    PART 0.43 27.66
    数字滤波法 DF one 0.76 1.24
    Digital filtering method DF two -0.67 72.52
    HYSEP SL 0.59 23.40
    FI 0.58 23.05
    LM 0.66 16.84
    BFI BFIf 0.71 6.38
    BFIk 0.71 6.41
    下载: 导出CSV
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  • 收稿日期:  2018-03-20
  • 修回日期:  2018-05-30
  • 刊出日期:  2019-01-01

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