河南省旬降水量的标度不变性分析

干旱区地理 ›› 2015, Vol. 38 ›› Issue (5): 920-926.

河南省旬降水量的标度不变性分析

王纪军^1,2, 胡彩虹³, 潘攀¹, 竹磊磊¹, 李凤秀¹

1. 河南省气候中心, 河南郑州 450003;
2. 国家气候中心气候研究开放实验室, 北京 100081;
3. 郑州大学, 河南郑州 450012

收稿日期:2015-01-04 修回日期:2015-04-27 出版日期:2015-09-25
作者简介:王纪军(1970-),男,河南偃师人,博士,高工,主要从事气候与气候变化研究工作.Email:Wjj_wang@hotmail.com
基金资助:
流域水文过程对极端气候事件敏感性研究(51079131);河南省不同流域水文过程对极端降水事件的响应(CCSF201312)

Scale invariance analysis of the 10-day precipitation in Henan Provice

WANG Ji-jun^1,2, HU Cai-hong³, PAN Pan¹, ZHU Lei-lei¹, LI Feng-xiu¹

1. Henan Provincial Climate Center, Zhengzhou 450003, Henan, China;
2. Laboratory of Climate Studies, National Climate Center, CMA, Beijing 100081, China;
3. Zhengzhou University, Zhengzhou 450012, Henan China

Received:2015-01-04 Revised:2015-04-27 Online:2015-09-25

摘要/Abstract

摘要： 利用河南省107个气象观测站1961-2012年逐旬降水量资料,分析了河南省旬降水量的时空变化特征,并利用去趋势波动分析方法探讨了河南省旬降水量的标度不变性。结果表明:(1)河南省逐旬平均降水量及其站间均方差52 a平均为20.6 mm和15.4 mm,其概率分布均不服从正态分布,为正偏态分布。(2)河南省逐旬降水量及其站间均方差的累积离差均具有阶段性变化特征,在阶段内均具有极为显著的线性变化趋势,能够通过信度为0.001极显著水平的检验。(3)河南省逐站旬降水量的标度指数均在0.5以下,表明时间序列具有非持久性。河南省旬降水量标度指数空间变异性较小,具有正态分布的特征。

关键词: 去趋势波动分析, 旬降水量, 河南省

Abstract: Using the 10-day precipitation data of 107 meteorological stations in Henan Province from 1961 to 2012, the variability on temporal-spatial characteristics of mean 10-day precipitation and its standard error among meteorological stations, and the variability on cumulative difference of the mean 10-day precipitation and its standard error among meteorological stations were analyzed with mathematical statistical methods. At the same time, the scale invariance of mean 10-day precipitation were studied with the detrended fluctuation analysis(DFA) method. The results showed that:the mean 10-day rainfall and its standard errors among meteorological stations were 20.6 mm and 15.4 mm, respectively; the skewness coefficients were 2.2 and 2.4, respectively; the sharpness coefficients were 6.1 and 9.8, respectively; the stand error of skewness coefficient and sharp sharpness were 0.06 and 0.11, respectively; therefore, the probability distributions of mean 10-day precipitation and its stand error among meteorological stations were not subject to normal distribution, and subject to positively skew distribution. The cumulative difference of precipitation and its mean standard error among the meteorological stations had the same phase characteristics, and all the stages had the extremely significant linear trends at the 0.001 significant level. The trend rate of mean 10-day precipitation and its standard error among meteorological stations were 49.2 mm·10 d^-1 and 18.7 mm·10 d^-1, respectively. The mean of the scale index in Henan Province were 0.34, and the variability of scale index among meteorological stations was very small, which skewness coefficient and sharpness were 0.26 and 0.43, respectively, which standard error of skewness coefficient and sharpness coefficient were 0.23 and 0.46, respectively, thus, the spatial distribution of scale index was in accord with the normal distribution. The scale index of mean 10-day precipitation of meteorological stations in Henan Province were all below 0.5, showed that time series of mean 10-day precipitation had no persistent and the original sequence were inversely related, i.e., if there was an upward trend in the previous sequence, then it had a downward trend in the future, and vice versa. This also indicated that the inversion frequency of the 10-day precipitation sequence was higher than that of the random process.

Key words: Detrended Fluctuation Analysis(DFA), decadal Precipitation, Henan Province

中图分类号:

P426.61

王纪军, 胡彩虹, 潘攀, 竹磊磊, 李凤秀. 河南省旬降水量的标度不变性分析[J]. 干旱区地理, 2015, 38(5): 920-926.

WANG Ji-jun, HU Cai-hong, PAN Pan, ZHU Lei-lei, LI Feng-xiu. Scale invariance analysis of the 10-day precipitation in Henan Provice[J]. , 2015, 38(5): 920-926.

参考文献

[1] 张斌,史凯,刘春琼,等.元谋干热河谷近50年分季节降水变化的DFA分析[J].地理科学, 2009, 29(4):561-566.[ZHANG Bin, SHI Kai, LIU Chunqiong, et al. Changes of seasonal precipitation of Yuanmou dry-hot valley in recent 50 years based on method of DFA[J]. Scientia Geographica Sinica, 2009, 29(4):561-566.]

[2] 王楠,李栋梁,张杰.黄河中上游流域夏季异常降水的变化特征及环流分析[J].干旱区地理, 2012, 35(5):754-763.[WANG Nan, LI Dongliang, ZHANG Jie. Variations and circulation pattern of drought and flood in summer at middle and upper reaches of Yellow River[J]. Arid Land Geography, 2012, 35(5):754-763.]

[3] 周顺武,王传辉,吴萍,等.青藏高原强降水日数的时空分布特征[J].干旱区地理, 2012, 35(1):23-31.[ZHOU Shuwu, WANG Chunhui, WU Ping, et al. Temporal and spatial distribution of strong precipitation days over the Tibetan Plateau[J]. Arid Land Geography, 2012, 35(1):23-31.]

[4] 杨金虎,江志红,刘晓芸,等.近半个世纪中国西北干湿演变及持续性特征分析[J].干旱区地理, 2012, 35(1):10-22.[YANG Jinhu, JIANG Zhihong, LIU Xiaoyun, et al. Influence research on spring vegetation of Eurasia to summer drought-wetness over the northwest China[J]. Arid Land Geography, 2012, 35(1):10-22.]

[5] 孔祥伟,于乐江,刘新伟.西南地区冬季旱涝特征及其与北极涛动关系[J].干旱区地理, 2012, 35(6):875-882.[KONG Xiangwei, YU Lejiang, LIU Xinwei. Spatial and temporal characteristics of winter drought/flood in southwest China and correlation with Arctic Oscillation[J]. Arid Land Geography, 2012, 35(6):875-882.]

[6] 刘闻,曹明明,宋进喜,等.陕西年降水量变化特征及周期分析[J].干旱区地理, 2013, 36(5):865-874.[LIU Wen, CAO Mingming, SONG Jianxi, et al. Spatio-temporal distribution and temporal periodicity of annual precipitation in Shaanxi Province[J]. Arid Land Geography, 2013, 36(5):865-874.]

[7] 朱晓炜,杨建玲,崔洋,等. 1961-2009年西北地区东部降水时空分布及成因[J].干旱区研究, 2013, 30(6):1094-1099.[ZHU Xiaowei, YANG Jianling, CUI Yang, et al. Spatiotemporal distribution and formation causes of precipitation in the east of northwest China during the period of 1961-2009[J]. Arid Zone Research, 2013, 30(6):1094-1099.]

[8] 罗潋葱,秦伯强,朱广伟.太湖上游的水文特征及灾害分析[J].灾害学, 2004, 19(1):21-26.[LUO Liancong, QING Boqiang, ZHU Guanawei. Analysis on hydrological characteristics and disasters in the upper area of Taihu Lake[J]. Journal of Catastrophology, 2004, 19(1):21-26.]

[9] 罗潋葱,秦伯强,朱广伟.太湖流域上游降水特征分析[J].地理科学, 2004, 24(4):472-476.[LUO Liancong, QING Boqiang, ZHU Guanawei. Precipitation characteristics in the upper area of Taihu Lake[J]. Scientia Geographica Sinica, 2004, 24(4):472-476.]

[10] 张耀存,张录军.东北气候和生态过渡区近50年来降水和温度概率分布特征变化[J].地理科学, 2005, 25(5):561-566.[ZHANG Yaocun, ZHANG Lujun. Precipitation and temperature probability characteristics in climatic and ecological transition zone of Northeast China in recent 50 years[J]. Scientia Geographica Sinica, 2005, 25(5):561-566.]

[11] 佟春生,黄强,刘涵,等.黄河径流序列标度不变性分析及区域预测研究[J].自然资源学报, 2007, 22(4):634-639.[TONG Chunsheng, HUANG Qiang, LIU Han, et al. Scale invariant analysis and runoff trend prediction of the runoff time series in the Yellow River[J]. Journal of Natural resources, 2007, 22(4):634-639.]

[12] 莫淑红,吕继强,沈冰,等.基于去趋势波动分析的降雨演变特性分析[J].西安理工大学学报, 2010, 26(2):148-151.[MO Shuhong, LV Jiqiang, SHEN Bing, et al. Research on the evolvement characteristic of the precipitation based on DFA[J]. Journal of Xi'an University of Technology, 2010, 26(2):148-151.]

[13] 赵静,吕继强,宁有丰,等.西安市降雨和气温的非趋势性波动分析[J].水资源与水工程学报, 2011, 22(2):74-76, 81.[ZHAO Jing, LV Jiqiang, NING Youfeng, et al. Detrended fluctuation analysis of precipitation and atmospheric temperature in Xi'an[J]. Journal of Water Resources & Water Engineering, 2011, 22(2):74-76.]

[14] 杜海波,吴正方,张娜,等.近60 a丹东极端温度和降水事件变化特征[J].地理科学, 2013, 33(4):473-480.[DU Haibo, WU Zhengfang, ZHANG Na, et al. Characteristics of extreme temperature and precipitation events over Dandong during the last six decades[J]. Scientia Geographica Sinica, 2013, 33(4):473-480.]

[15] HARTMANN H, BECKER S, KING L. Quasi-periodicities in Chinese precipitation time series[J]. Theoretical and Applied Climatology, 2008, 92(3-4):155-163.

[16] 郑腾飞,郭建茂,尹继福,等.基于DFA法的江苏省极端降水时空分布特征研究[J].自然灾害学报, 2012, 21(4):76-83.[ZHENG Tengfei, GUO Jianmao, YIN Jifu, et al. DFA-based research on spatiotemporal distribution of extreme precipitations in Jiangsu Province[J]. Journal of Natural Disasters, 2012, 21(4):76-83.]

[17] PENG C K, BULDYREV S V, H av lin S, et al. Mosaic organization of DNA nucleotides[J]. Physical Review E, 1994, 49(2):1685-1689.

[18] 方建刚,毛名策,程肖侠.陕西降水的正态性特征分析[J].西北大学学报(自然科学版), 2009, 39(1):131-136.[FANG Jiangang, MAO Mingce, CHENG Xiaoxia. The analysis of statistics distribution characteristics on precipitation in Shaanxi[J]. Journal of Northwest University(Natural Science Edition), 2009, 39(1):131-136.]

[19] 王纪军,任国玉,匡晓燕,等.河南省月和年降水量正态性分析[J].气候与环境研究, 2010, 15(4):522-628.[WANG Jijun, REN Guoyu, KUANG Xiaoyan, et al. Normality analysis of the mont hly and annual precipitation in Henan Province[J]. Climatic and Environmental Research, 2010, 15(4):522-528.]