Please wait a minute...
img img
高级检索
地球科学进展  2001, Vol. 16 Issue (3): 339-345    DOI: 10.11867/j.issn.1001-8166.2001.03.0339
学术论文     
小波变换在河西地区水文和气候周期变化分析中的应用
陈仁升,康尔泗,张济世
中国科学院寒区旱区环境与工程研究所,甘肃 兰州  730000
APPLICATION OF WAVELET TRANSFORM ON ANNUAL RUNOFF,YEARLY AVERAGE AIR TEMPERATURE AND ANNUAL PRECIPITATION PERIODIC VARIATIONS IN HEXI REGION
CHEN Ren-sheng, KANG Er-si, ZHANG Ji-shi
Cold and Arid Regions Environmental and Engineering Research Institute,Chinese Academy of Sciences,Lanzhou730000,China
 全文: PDF 
摘要:

小波时—频分析由于其局部优化性质而优于傅立叶分析。应用Meyer小波,对甘肃河西地区近50 a来年径流量、年降水量和年平均气温做周期分析,发现河西地区水文气象序列的变化周期基本在35 a、22 a、11 a、5~6 a和2~3 a左右的时间尺度上浮动。而这些基本周期正是太阳黑子活动周期或海—气相互作用的周期,说明河西地区水文、气象序列的周期变化受天体运动变化的影响。天体运动直接影响降水和气温的周期变化,进而在一定的下垫面条件下,影响径流的周期变化。

关键词: 气象序列周期分析小波变换河西地区水文序列    
Abstract:

Hexi Region lies in the inland area of Northwest China that is semi-arid and arid region. Because of relatively scare precipitation in this area, the main water resources are the runoff from the mountain drainage basin. Precipitation, evapotranspiration and runoff are the dynamic factors of the water resources balance of this region, while precipitation and air temperature are main factors that effect evapotranspiration. Therefore, it is very important to know the variation regularities of the hydrological and meteorological series in this region. For this purpose, we use the Meyer wavelet transform method that has being used extensively in hydrology and in meteorology, to analysis the periodic regularities of the annual precipitation, yearly average air temperature and annual runoff in Hexi region.The Meyer wavelet function is:
Ψ(ω) ={  0                        |  ω |   [23π,83π]
               (2π)-1/2eiω/2sin(π2v(32π ω - 1))23π  ≤ω≤  43π
              (2π)-1/2eiω/2cos(π2v(34π ω - 1))43π  ≤ω  ≤83π                 (1)
Where  v(x)=x4(35-84x+70x2-20x3)           0 ≤x ≤1
     To discrete Hydrologic and Meteorological seriesr(k), the Lagrange A Trous algorithm is:
    w(i,j) =-∞r(t)1 /a1/2 Ψ((t-b)/a)dt               (2)
where   a=2-j,and b=a·j, they are scaling coefficient and position coefficient respectively;w(i,j) is wavelet coefficient at level i position j.
    Using low-pass wave filter, we can get the approximation coefficient CA1, and using high-pass filter,we can get the detail coefficient CD1. Then, we decompose the CA1into CA2and CD2in the same way, and so on. Now we reconstruct the approximation and detail coefficient Aiand Di,i=1,2,…n, wherenis decomposed level of the hydrologic or meteorological series. At last, we get the reconstructed hydrologic or meteorological series using the next equation:
r(k) =An(k) +Σni=1Di(k)               (3)
    Plot the graph of the reconstructed hydrologic or meteorological series, from which we can find the periods of these series. If the series are long enough, the approximation coefficient Anwill provide the tendency period. Fromi=1~5, the periods thatDireflect are from short to long relatively.The results show that the periods of average annual air temperature and yearly precipitation series of Hexi Region are accordant, and they vary at 35 a, 22 a, 11 a, 5~6 a and 2~3 a or 4 a. It agrees with the variation regularities of the mutual action of sea and atmosphere, and of the sunspot. They both affect the climatic change of the globe. Thus they effect the periodic changes of runoff.

收稿日期: 2000-10-09 出版日期: 2001-06-01
:  P343  
基金资助:

“九五”国家重点科技攻关项目“河西走廊黑河流域山区水资源变化和山前水资源转化监测研究”(编号:96-12-03-s);国家自然科学基金重点项目“西北干旱区内陆河流域水资源形成与变化的基础研究”(编号:49731030);中国科学院寒区旱区环境与工程研究所知识创新工作项目“内陆河流域SVAT系统和陆面水文过程”(编号:210016)联合资助.

通讯作者: 陈仁升(1974-),男,山东沂水人,博士研究生,主要从事内陆河区水文水资源的研究.     E-mail: eskang@ns.lzb.ac.cn
作者简介: 陈仁升(1974-),男,山东沂水人,博士研究生,主要从事内陆河区水文水资源的研究. E-mail:eskang@ns.lzb.ac.cn
服务  
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章  

引用本文:

陈仁升,康尔泗,张济世. 小波变换在河西地区水文和气候周期变化分析中的应用[J]. 地球科学进展, 2001, 16(3): 339-345.

CHEN Ren-sheng, KANG Er-si, ZHANG Ji-shi. APPLICATION OF WAVELET TRANSFORM ON ANNUAL RUNOFF,YEARLY AVERAGE AIR TEMPERATURE AND ANNUAL PRECIPITATION PERIODIC VARIATIONS IN HEXI REGION. Advances in Earth Science, 2001, 16(3): 339-345.

链接本文:

http://www.adearth.ac.cn/CN/10.11867/j.issn.1001-8166.2001.03.0339        http://www.adearth.ac.cn/CN/Y2001/V16/I3/339

[1]  Chen Longhen, Qu Yaoguang. Water and Land Resources and Their Rational Development and Utilization in the Hexi Region[M]. Beijing: Science Press, 1992.1-8. [陈隆亨,曲耀光.河西地区水土资源及其合理开发利用[M].北京:科学出版社,1992.1-8.]
[2]  Gansu Province Committee of Agricultural Division, Gansu Province Hydrological Central Station. Investigation, Evaluation and Fitting Utilization of Water Resources in Hexi Region[R]. 1992. 24-25. [甘肃省农业区划委员会,甘肃省水文总站.河西水资源调查评价及合理利用研究[R]. 1992. 24-25.]
[3]  Kang Ersi, Cheng Guodong, Lan Yongchao,et al. A model for simulating the response of runoff from the mountainous watersheds of inland river basins in the arid area of northwest China to climatic changes [J]. Science in China(Series D),1999, 29(Supp 1): 52-63. [康尔泗,程国栋,蓝永超,等.西北干旱区内陆河流域出山径流变化趋势对气候变化响应模型[J].中国科学(D辑),1999, 29(Supp.1):48-54.]
[4]  Tang Maocang. Rudiment analysis of plateau monsoon annual variation [J]. Plateau Meteorology, 1984, 3(3): 76-82.[汤懋苍.高原季风年际变化的初步分析[J].高原气象,1984,3(3):76-82.]
[5]  Liu Xiaodong, Jiao Yanjun. Sensitivity of the east Asian monsoon climate to the Tibetan Plateau uplift [J]. Chinese Journal of Atmosphere Sciences, 2000, 24(5): 593-607.[刘晓东,焦彦军.东亚季风对青藏高原隆升的敏感性研究[J].大气科学,2000,24(5):593-607.]
[6]  Ding Yongjian, Ye Baisheng, Zhou Wenjuan. Temporal and spatial precipitation distribution in the Heihe Catchment,Northwest China, during the past 40 a [J]. Journal of Glaciology and Geocryology, 1999, 21(1):42-48.[丁永建,叶佰生,周文娟.黑河流域过去40 a来降水时空分布特征[J].冰川冻土,1999,21(1):42-48.]
[7]  Li Peiji, Mi Desheng. Perpetual snow distribution of China[J]. Journal of Glaciology and Geocryology, 1983, 5(4):9-13.[李培基,米德生.中国积雪分布[J].冰川冻土,1983,5(4):9-13.]
[8]  Yang Zhenniang. Glacier water resources and effect of glacier water in stream runoff in Qilian Mountain[A]. In: Lanzhou Institute of Glaciology and Geocryology, Chinese Academy of Sciences, ed. Memoirs of Lanzhou Institute of Glaciology and Geocryology, Chinese Academy of Sciences, No.7[C]. Beijing: Science Press, 1992. 10-20.[杨针娘.祁连山冰川水资源及其在河流中的作用[A].见:中国科学院兰州冰川冻土研究所编.中国科学院兰州冰川冻土研究所集刊第7号[C].北京:科学出版社,1992. 10-20.]
[9]  Fu Huien, Che Kejun. Study on hydrological effect of forest in north slope of Qilian Mountain[A]. In: Forest, Hydrology and Watershed Administration Committee of Forestry, China,ed. China Collection of Academical Papers on Forestry and Hydrology[C]. Beijing: Surveying and Mapping Press, 1989.111-118.[傅辉恩,车克钧.祁连山(北坡)森林水文效应的研究[A].见:中国林学森林水文与流域管理委员会主编.全国森林水文学术讨论文集[C].北京:测绘出版社,1989. 111-118.]
[10]  Wang Jinye, Che Kejun, Yan Kelin,et al. Analysis of the runoff components in the forestry area of the Qilian Mountains and their temporal and spatial variation [J]. Journal of Glaciology and Geocryology, 1999, 21(1):59-63.[王金叶,车克钧,闫克林,等.祁连山森林覆盖区河川径流组成与时空分布变化分析[J].冰川冻土,1999,21(1):59-63.]
[11]  Burman R, Pochod L O. Evaporation, Evapotranspiration and Climatic Data[M]. Netherland: Elsevier Science B V,1994.1-20.
[12]  Lai Zuming, Ye Baisheng. Evaluating the water resources impacts of climate warming in cold alpine regions by the water balance model: modeling the Urumqi River Basin [J].Science in China (Ser B), 1991, 34(11): 1 362.[赖祖铭,叶佰生.高寒山区流域的水量平衡模型及气候变暖趋势下径流的可能变化——以天山乌鲁木齐河为例[J].中国科学(B),1991, 21(6): 652-658.]
[13]  Kang Ersi, Ohmrura A. Model of energy, water volume, mass balance and runoff over the glaciated drainage in Tianshan Mountains [J]. Science in China (Ser B), 1994, 24(9):983-981.[康尔泗,Ohmura A.天山冰川作用流域能量、水量和物质平衡及径流模型[J].中国科学(B辑),1994,24(9):983-991.]
[14]  Liu Changming, Ren Hongzun. Experiment, Calculation and Analysis of Changing of Amount of Water [M]. Beijing: Science Press, 1988. 1-5.[刘昌明,任鸿遵.水量转换实验与计算分析[M].北京:科学出版社,1988. 1-5.]
[15]  Pei Buxiang. Evaporation, Transpiration Measurement and Calculation [M]. Beijing: China Meteorological Press,1987. 9-52.[裴步祥.蒸发和蒸散的测定与计算[M].北京:气象出版社,1987. 9-52.]
[16]  Ding Jing, Liu Quanshou. Stochastic Hydrology [M]. Beijing: China Hydraulic Engineering and Hydroelectricity Press, 1997. 49-54.[丁晶,刘权授.随机水文学[M].北京:中国水利水电出版社,1997. 49-54.]
[17]  Huang Zhongshu. Spectral Analysis and its Utilization in Hydrometeorology [M]. Beijing: China Meteorological Press,1983. 1-5,65-78,104-128,167-179.[黄忠恕.波谱分析方法及其在水文气象学中的应用[M].北京:气象出版社,1983.1-5,65-78,104-128,167-179.]
[18]  Cheng Zhengxing. Introduction of Wavelet Analysis [M].Xi' an: Xi' an Traffic University Press, 1995. 2-24.[程正兴.小波分析导论[M].西安:西安交通大学出版社,1995. 2-24.]
[19]  Daubechies I. Ten lectures on wavelets[A]. In:SIAM, ed. CBMS-NSF Conferences Series in Applied Mathematics[C].London: Cambridge Univ Press, 1992. 117-119, 137, 152.
[20]  Li Xianbin, Dingjing, Li Houqiang. Predicable methods on combination of wavelet transform and artificial neural network [J]. Journal of Hydraulic Engineering, 1999, (2):10-16.[李贤彬,丁晶,李后强.基于子波变换序列的人工神经网络组合预测[J].水利学报,1999,(2):10-16.]
[21]  Li Xianbin, Dingjing, Li Houqiang. Wavelet transform analysis and its potential application in hydrology and water resources [J]. Journal of Sichuan Association University,1999, 11(4): 49-52.[李贤彬,丁晶,李后强.子波分析及其在水文水资源中的潜在应用[J].四川联合大学学报(工程科学版),1999,11(4):49-52.]
[22]  Ding Jing, Li Xianbin, Li Houqiang,et al. A new analysis method of hydrology and water resources—wavelet analysis[J]. Hydrological Technology Information , 1997, 14(2):16-21.[丁晶,李贤彬,李后强,等.水文水资源分析新方法——子波分析[J].水文科技信息,1997,14(2):16-21.]
[23]  Li Dongliang Xie Jinnan, Wanglei,et al. The periodic variation of annual precipitation in East Gansu[J]. Plateau Meteorology, 2000, 19(3):296-303.[李栋梁,谢金南,王蕾,等.甘肃河东年降水量的周期变化[J].高原气象,2000,19(3):296-303.]
[24]  Mallat S. A theory for multiresolution signal decomposition:the wavelet representation [J]. IEEE Pattern Anal and Machine Intell, 1989,11(7):674-693.
[25]  Aussen A, Murtagh F. Combing neural network forecasts on wavelet transform time series [J]. Connection Science,1997, (9): 113-121.
[26]  Aussen A, Campell J, Murtagh F. Wavelet based feature extraction and decomposition, strategies for financial forcasting[J]. Journal of Computational Intelligence in Finance, 1997,1-17.
[27]  Wan Shaowu. Scale, structure and their formation reason of long-term weather process[A]. In:Yangtse River Watershed Planning House, ed. Collection of Long-term Hydrometeorological Forecasting Papers[C]. Beijing: China Meteorological Press, 1981. 5-11.[王绍武.长期天气过程的尺度、结构及其形成原因[A].见:长江流域规划办公室主编.中长期水文气象预报文集第二集[C].北京:气象出版社,1981. 5-11.]
[28]  Kang Xingcheng. Study of the climatic variation in the Qilian Mountain Region for the historical period[A]. In: Lanzhou Institute of Glaciology and Geocryology, Chinese Academy of Sciences,ed. Memoirs of Lanzhou Institute of Glaciology and Geocryology, Chinese Academy of Sciences, No.7[C].Beijing: Science Press, 1992. 54-63.[康兴成.祁连山历史时期气候变化探讨[A].见:中国科学院兰州冰川冻土研究所编.中国科学院兰州冰川冻土研究所集刊第7号[C].北京:科学出版社,1992. 54-63.]
[29]  Xu Guochang, Dong Anxiang. Quasi 3-year periods of precipitation in West China[J]. Plateau Meterology, 1982, 1(2):11-16. [徐国昌,董安祥.我国西部降水量的准三年周期[J].高原气象,1982,1(2):11-16.]
[30]  Huang Jiayou. Spectral Analysis in Meteorology [M]. Beijing: China Meteorological Press, 1984. 13-68.[黄嘉佑.气象中的谱分析[M].北京:气象出版社. 1984. 13-68.]

[1] 祁晓凡,杨丽芝,韩 晔,尚 浩,邢立亭. 济南泉域地下水位动态及其对降水响应的交叉小波分析[J]. 地球科学进展, 2012, 27(9): 969-978.
[2] 罗坚,姜勇强,戴彩悌. 提升小波变换在气象格点数据无损压缩中的应用[J]. 地球科学进展, 2012, 27(4): 460-465.
[3] 王国栋, 康建成, Han Guoqi, 刘超, 闫国东. 中国东海海平面变化多尺度周期分析与预测[J]. 地球科学进展, 2011, 26(6): 678-684.
[4] 吴兆福,高飞,陶庭叶. 小波变换后的噪声信息在大坝变形监测精度评定中的应用[J]. 地球科学进展, 2008, 23(6): 590-594.
[5] 吴兆福;高飞;宫鹏. 基于边缘特征的遥感影像小波变换融合法[J]. 地球科学进展, 2005, 20(7): 705-709.
[6] 方创琳,刘彦随. 河西地区生态重建与经济可持续发展战略研究[J]. 地球科学进展, 2001, 16(2): 251-256.