基于线性矩法的广东极端降水区域频率分析
Regional Frequency Analysis of Extreme Rainfall in Guangdong Using L-Moments Approaches
DOI: 10.12677/JWRR.2013.21002, PDF,  被引量    科研立项经费支持
作者: 黄 强*, 陈子燊, 刘占明*：中山大学地理科学与规划学院水资源与环境系；刘曾美：华南理工大学水利水电工程系
关键词: 极端降水；区域频率分析；线性矩法；分布函数；区域频率曲线；Extreme Rainfall; Regional Frequency Analysis; L-Moments Approach; Frequency Distribution Function; Growth Curve
摘要: 利用1951~2010年广东省24个气象站点每年的最大日降水量资料，应用基于线性矩的区域频率分析方法进行频率分析。根据影响降水形成的主要因素，将整个广东分成了6个子区域，分别为珠江三角洲流域、北江流域、东江流域、西江流域、韩江及东南沿海诸河流域和粤西诸河流域。除北江流域选用Kappa分布外，其余5个子区域均选用GLO分布作为它们的区域分布函数。珠江三角洲流域、北江流域、韩江及东南沿海流域和粤西沿海流域500年以下重现期，东江流域和西江流域100年以下重现期的频率曲线分位值具有较高的可靠性，由它们估算的设计值可用作工程设计的参考标准。
Abstract: Based on the 1951-2010 observed precipitation datas of annual maximum daily precipitation in 24 meteorological stations of Guangdongprovince, the regional frequency of extreme rainfall was analyzed using L-moments approaches. According to the main factors of rainfall formation, the wholeGuangdongwas divided into six subregions, which located in the Pearl River Delta,BeijiangRiver basin,DongjiangRiver basin,XijiangRiver basin,HanjiangRiver basinand eastern coastal region, and western coastal region, respectively. Except theBeijiangRiver basinwith the Kappa distribution, other five subregions all select the GLO distribution for their regional frequency distributions. The growth curve show a high reliability in quantiles of 500 return years in the Pearl River Delta, Beijiang River basin, Hanjiang River basin and eastern coastal region, and western coastal region, and 100 return years in the Dongjiang River basin and Xijiang River basin, which can be used for the engineering design standard.
文章引用：黄强, 陈子燊, 刘曾美, 刘占明. 基于线性矩法的广东极端降水区域频率分析[J]. 水资源研究, 2013, 2(1): 7-13. http://dx.doi.org/10.12677/JWRR.2013.21002

参考文献

[1] HAYLOCK, M., NICHOLLS, N. Trends in extreme rainfall indices for an updated high quality data set for Australia, 1910- 1998. International Journal of Climatology, 2000, 20: 1533- 1541.
[2] 郭军, 任国玉, 李明财. 环渤海地区极端降水事件概率分布特征[J]. 气候与环境研究, 2010, 15(4): 425-432. GUO Jun, REN Guoyu and LI Mingcai. Characteristics of the probability distribution of the extreme precipitation events around the Bohai Bay. Climatic and Environmental Research, 2010, 15 (4): 425-432. (in Chinese)
[3] KITE, G. W. Frequency and risk analysis in hydrology. Littleton: Water Resources Publications, 1988.
[4] GUTTMAN, N. B. The use of L-moments in the determination of regional precipitation climates. Journal of Climate, 1993, 6(12): 2309-2325.
[5] ZRINJI, Z., BURN, D. H. Flood frequency analysis for ungaug- ed sites using a region of influence approach. Journal of Hydrology, 1994, 153(1): 1-21.
[6] DALRYMPLE, T. Flood frequency analysis. Washing-ton DC: Water Supply Paper 1953 A, 1960.
[7] CUNNANE, C. Methods and merits of regional flood frequency analysis. Journal of Hydrology, 1988, 100: 269-290.
[8] STEDIGER, J. R., VOGEL, R. M. and FOUFOULA-GEORGIOU, E. Frequency analysis of extreme events. New York: McGraw- Hill, 1993.
[9] HOSKING, J. R. M., WALLIS, J. R. Some statistics useful in re- gional frequency analysis. Water Resources Research, 1993, 29 (2): 271-281.
[10] HOSKING, J. R. M., WALLIS, J. R. Regional frequency analy- sis: An approach based on L-moments. Cambridge: Cambridge University Press, 1997.
[11] PARIADA, B. P., KACHROO, R. K. and SHRESTHA, D. B. Regional flood frequency analysis of Mashi-Sabarmati basin (Subzone 3-a) using index flood procedure with L-moments. Water Resource Management, 1998, 12: 1-12.
[12] ADAMOWSKI, K. Regional analysis of annual maximum and patial duration flood data by nonparametric and L-moment methods. Journal of Hydrology, 2000, 229(3): 219-231.
[13] PEE, M. C., WANG, Q. J., VOGEL, R. M., et al. The utility of L-moment ratio diagrams for selecting a regional probability distributions. Hydrological Sciences Journal, 2001, 46(1): 147- 155.
[14] LEE, S. H., MAENG, S. J. Frequency analysis of extreme rain- fall using L-moment. Irrigation and Drainage, 2003, 52(3): 219- 230.
[15] KJELDSEN, T. R., JONES, D. A. Prediction uncertainty in a median-based index flood method using L-moments. Water Resources Research, 2006, 42(7): 1-12.
[16] NORBIATO, D., BORGA, M., SANGATI, M., et al. Regional frequency analysis of extreme precipitation in the eastern Italian Alps and the Augest 29, 2003 flash flood. Journal of Hydrology, 2007, 345(3-4): 149-166.
[17] SAF, B. Regional flood frequency analysis using L-moments for the Buyuk and Kucuk Menderes River basins of Turkey. Jour- nal of Hydrologic Engineering, 2009, 14(8): 783-794.
[18] NGONGONDO, C. S., XU, C. Y. and TALLAKSEN, L. M. Re- gional frequency analysis of rainfall extremes in southern Ma- lawi using the index rainfall and L-moments approaches. Sto- chastic Environmental Research and Risk Assessment, 2011, 25 (7): 939-955.
[19] 陈元芳, 王庆荣, 沙志贵, 等. 线性矩法在长江中下游区域水文频率计算中的应用[J]. 河海大学学报(自然科学版), 2002, 31(2): 207-211. CHEN Yuanfang, WANG Qingrong, SHA Zhigui, et al. Appli- cation of L-moment based regional flood frequency analysis me- thod to middle and lower Yangtze River. Journal of Hohai Uni- versity (National Sciences), 2002, 31(2): 207-211. (in Chinese)
[20] 陈永勤, 黄国如. 基于线性矩法的东江流域区域枯水频率分析[J]. 应用基础与工程科学学报, 2005, 13(4): 409-416. CHEN Yongqin, HUANG Guoru. Regional low flow frequency calculation with L-moments method at Dongjiang River basin. Journal of Basic Science and Engineering, 2005, 13(4): 409-416. (in Chinese)
[21] YANG Tao, XU Chongyu, SHAO Quanxi, et al. Regional flood frequency and spatial patterns analysis in the Pearl River Delta region using L-moments approach. Stochastic Environmental Research and Risk Assessment, 2010, 24(2): 165-182.
[22] YANG Tao, SHAO Quanxi, HAO Zhenchun, et al. Regional frequency analysis and spatiotemporal pattern characterization of rainfall extremes in the Pearl River basin, China. Journal of Hydrology, 2010, 380(3-4): 386-405.
[23] SHI Peng, CHEN Xi, QU Simin, et al. Regional frequency ana- lysis of low flow based on L-moments: Case study in Karst area, southwest China. Journal of Hydrologic Engineering, 2010, 15: 370-377.
[24] 胡宜昌, 董文杰, 何勇, 等. 21世纪初极端天气气候事件研究进展[J]. 2007, 22(10): 1066-1075. HU Yichang, DONG Wenjie, HE Yong, et al. Progress of the study of extreme weather and climate events at the beginning of the twenty first century. Advance in Earth Science, 2007, 22(10): 1066-1075. (in Chinese)
[25] GREENWOOD, J. A., LANDWEHR, J. M., MATALAS, N. C., et al. Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form. Water Resources Research, 1979, 15(5): 1049-1054.
[26] HOSKING, J. R. M. L-moments: Analysis and estimation of distributions using linear combinations of order statistics. Royal Statistical Society, 1990, 52(1): 105-124.
[27] VOGEL, R. M., FENNESSEY, N. M. L-moment diagrams should replace product moment diagrams. Water Resources Research, 1993, 29(6): 1745-1752.
[28] SANKARASUBRAMANIAN, A., SIRNIVASAN, K. Investiga- tion and comparison of sampling properties of L-moments and conventional moments. Journal of Hydrology, 1999, 218(1): 13- 34.
[29] HOSKING, J. R. M. The four parameters kappa distribution. IBM Journal of Research and Development, 1994, 38(3): 251-258.
[30] ROSSI, F., VILLANI, P. Regional flood estimation methods. Dordrecht: Kluwer Academic, 1994.
[31] JAVELLE, P., OUARDA, T. B. M., LANG, M., et al. Develop- ment of regional flood-duration-frequency curves based on the index-flood method. Journal of Hydrology, 2002, 258(1): 249- 259.
[32] SATYANARAYANA, P., SRINIVAS, V. V. Regional frequency analysis of precipitation using large-scale atmospheric variables. Water Resources Research, 2008, 113(D24): 1-16.