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1.
Summary Wind speeds in extra-tropical latitudes are known to be approximately Weibull distributed. Hence a Weibull distribution fitted
to all available data is often used to predict extreme winds. The most extreme values then, however, have little influence
on the estimated parent Weibull distribution, and the accuracy of the extreme value predictions obtained in this manner may
be questioned. In the present paper such a “Weibull method” is compared to a method based on statistical extreme value theory,
“the annual maxima method”. The comparison is based on 30 years of 10 minute wind speed averages measured hourly at 12 meteorological
stations located at airports in Sweden. Results show that the Weibull method generates incorrect estimates of the tails of
the distributions of wind speeds and of the distribution of yearly maximum wind speed, and that serial dependence of individual
measurements has to be taken into account. In addition, it is inherent in the Weibull method that it does not provide any
confidence bounds for the estimates. The annual maxima method avoids these problems. The measurements were rounded, first
to entire knots, and then to m/s. A further, “technical”, result is that if this rounding were disregarded in the estimation
procedure, then the computed standard errors of the parameter estimates would be erroneously low. Hence, if rounding is done,
it should be taken into account in the estimation procedure. We also believe this to be a clear indication that rounding of
the data decreases estimation accuracy. 相似文献
2.
Helmi Saidi Marzia Ciampittiello Claudia Dresti Giorgio Ghiglieri 《Theoretical and Applied Climatology》2013,113(1-2):1-15
Alpine and Mediterranean areas are undergoing a profound change in the typology and distribution of rainfall. In particular, there has been an increase in consecutive non-rainy days, and an escalation of extreme rainy events. The climatic characteristic of extreme precipitations over short-term intervals is an object of study in the watershed of Lake Maggiore, the second largest freshwater basin in Italy (located in the north-west of the country) and an important resource for tourism, fishing and commercial flower growing. The historical extreme rainfall series with high-resolution from 5 to 45 min and above: 1, 2, 3, 6, 12 and 24 h collected at different gauges located at representative sites in the watershed of Lake Maggiore, have been computed to perform regional frequency analysis of annual maxima precipitation based on the L-moments approach, and to produce growth curves for different return-period rainfall events. Because of different rainfall-generating mechanisms in the watershed of Lake Maggiore such as elevation, no single parent distribution could be found for the entire study area. This paper concerns an investigation designed to give a first view of the temporal change and evolution of annual maxima precipitation, focusing particularly on both heavy and extreme events recorded at time intervals ranging from few minutes to 24 h and also to create and develop an extreme storm precipitation database, starting from historical sub-daily precipitation series distributed over the territory. There have been two-part changes in extreme rainfall events occurrence in the last 23 years from 1987 to 2009. Little change is observed in 720 min and 24-h precipitations, but the change seen in 5, 10, 15, 20, 30, 45, 60, 120, 180 and 360 min events is significant. In fact, during the 2000s, growth curves have flattened and annual maxima have decreased. 相似文献
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The analysis of rainfall frequency is an important step in hydrology and water resources engineering. However, a lack of measuring stations, short duration of statistical periods, and unreliable outliers are among the most important problems when designing hydrology projects. In this study, regional rainfall analysis based on L-moments was used to overcome these problems in the Eastern Black Sea Basin (EBSB) of Turkey. The L-moments technique was applied at all stages of the regional analysis, including determining homogeneous regions, in addition to fitting and estimating parameters from appropriate distribution functions in each homogeneous region. We studied annual maximum rainfall height values of various durations (5 min to 24 h) from seven rain gauge stations located in the EBSB in Turkey, which have gauging periods of 39 to 70 years. Homogeneity of the region was evaluated by using L-moments. The goodness-of-fit criterion for each distribution was defined as the ZDIST statistics, depending on various distributions, including generalized logistic (GLO), generalized extreme value (GEV), generalized normal (GNO), Pearson type 3 (PE3), and generalized Pareto (GPA). GLO and GEV determined the best distributions for short (5 to 30 min) and long (1 to 24 h) period data, respectively. Based on the distribution functions, the governing equations were extracted for calculation of intensities of 2, 5, 25, 50, 100, 250, and 500 years return periods (T). Subsequently, the T values for different rainfall intensities were estimated using data quantifying maximum amount of rainfall at different times. Using these T values, duration, altitude, latitude, and longitude values were used as independent variables in a regression model of the data. The determination coefficient (R 2) value indicated that the model yields suitable results for the regional relationship of intensity–duration–frequency (IDF), which is necessary for the design of hydraulic structures in small and medium sized catchments. 相似文献
5.
本文以华北五省为研究区，基于1960—2014年小时降水数据建立1、2、3、6、12和24 h极端降水序列，对比分析稳态和非稳态假设下极端降水重现期估计的差异。研究表明：1960―2014年华北不同时间极端降水的变化趋势略有不同，时间越短呈上升趋势的站点越多，1~3 h的极端降水呈上升趋势的站点较多，稳态和非稳态假设下的20~100 a一遇重现期平均差异较大，其中，1 h极端降水的显著上升站点中，二者的平均相对误差达30%~43%；而6~24 h极端降水中，呈下降趋势的站点增多，其中，24 h极端降水显著下降站点中，二者的平均相对误差达-43%~-32%；无显著趋势站点，二者的平均相对误差大部分介于-10%~10%。随着重现期增大，二者差异的不确定性区间增大，不同变化趋势站点表现一致。研究发现，华北地区短历时极端降水强度增加，稳态假设下极端降水的重现期会严重低估。因此，选用非稳态假设估计极端降水的重现期，将降低极端降水的灾害风险。 相似文献
6.
着重论述极值统计分布在极端天气气候事件和重大工程设计中的重要意义,综述该领域国内外研究进展。例如,基于超门限峰值法（POT）的广义帕累托分布（GPD)和基于单元极大值法（BM）的广义极值分布（GEV）及其参数间的理论关系;采用极值分布模型与多状态一阶Markov链相结合构建降尺度模型模拟局地极端降水事件,推算一定重现期的极端降水量的分位数;探讨极值分布模型分位数估计误差问题,多维极值分布理论及其应用等问题。 相似文献
7.
Statistical analysis of annual maximum rainfall in North-East India: an application of LH-moments 总被引：1，自引：1，他引：0
Surobhi Deka Munindra Borah Sarat Chandra Kakaty 《Theoretical and Applied Climatology》2011,104(1-2):111-122
An attempt has been made to determine the best fitting distribution to describe the annual series of maximum daily rainfall data for the period 1966 to 2007 of nine distantly located stations in North East India. The LH-moments of order zero (L) to order four (L4) are used to estimate the parameters of three extreme value distributions viz. generalized extreme value distribution (GEV), generalized logistic distribution (GLD), and generalized Pareto distribution (GPD). The performances of the distributions are assessed by evaluating the relative bias (RBIAS) and relative root mean square error (RRMSE) of quantile estimates through Monte Carlo simulations. Then, the boxplot is used to show the location of the median and the associated dispersion of the data. Finally, it can be revealed from the results of boxplots that zero level of LH-moments of the generalized Pareto distribution would be appropriate to the majority of the stations for describing the annual maximum rainfall series in North East India. 相似文献
8.
Extremes of Daily Rainfall in West Central Florida 总被引：1，自引：0，他引：1
Saralees Nadarajah 《Climatic change》2005,69(2-3):325-342
Annual maxima of daily rainfall data dating from 1901 to 2003 are modeled for fourteen locations in West Central Florida. The generalized extreme value (GEV) distribution is fitted to data from each location. The location parameter of the GEV is formulated as a function of time to adequately describe the extremes of rainfall and to predict their future behavior. We find evidence of non-stationarity in the form of trends for eight of the fourteen locations considered. We quantify the change in extreme rainfall for each location and provide return levels for the years 2010, 2020, 2050 and 2100. We also derive estimates of return levels for daily rainfall and provide a classification of the fourteen locations based on the degree of severity of these estimates. This paper provides the first application of extreme value distributions to rainfall data specifically from Florida. 相似文献
9.
利用呼和浩特气象站1951—2009年逐日降水量资料,以年序列的第90个百分位,建立了日降水量极端气候事件的阈值,检测了近59年来呼和浩特逐日降水量极端事件的出现频率,分析了极端事件阈值和日数及降水量的年际、年代际和季节变化,结果显示:①呼和浩特日降水极端事件的阈值小,为10.6mm;全年极端事件出现的频次11d。②降水极端事件主要出现在4-10月,且8月最多。③近59年来呼和浩特全年降水极端事件及其降水量没有显著的增减变化趋势,但而进入21世纪后,极端降水事件及其降水量的变率加大,降水强度明显减小。 相似文献
10.
近32年长沙市短时强降水的气候变化研究 总被引：1，自引：0，他引：1
利用长沙市近32 a的1 h、3 h雨量资料,分析了长沙短时强降水年发生次数、月际分布、时段分布、极值分布等气候特征及1 h、3 h雨量极值趋势分析、突变检验。结果表明,长沙市1 h、3 h短时强降水年发生次数的多年平均值为4.4、3.7次,雨强平均为29.2 mm/h、14.8 mm/h。长沙发生1 h短时强降水高峰期为6-8月,3 h短时强降水高峰期为6-7月。1 h短时强降水容易发生在15-17时及20时等时段,3 h短时强降水容易发生在04-08时及01时等时段。1 h、3 h短时强降水年雨量极值大多出现在主汛期。年1 h雨量极值发生在7月最多,6、8月次之;年3h雨量极值发生在6月最多,7月次之。长沙市1 h、3 h短时强降水年雨量极值整体呈弱增加趋势,其长期趋势变化存在明显年代际变化特征和阶段性特征,无突变现象。 相似文献
11.
利用广东省深圳市30个自动气象站观测数据对深圳市近10年的气候变化趋势进行了分析,结果表明:（1）深圳市2011—2020年的平均气温增长率约1.47 ℃/(10 a),比上一个10年显著增加,气候变暖并未停滞;（2）受城市化的影响,深圳市气温日较差在较大范围内呈减小趋势,但在少数地区却反常地呈现了上升趋势;（3）深圳的地面风速总体呈下降趋势,其中发达地区风速下降更快;（4）2011—2020年深圳市的平均相对湿度呈上升趋势,最高每年增长1.33%;（5）统计深圳各区不同时次的极端降雨量数据可以发现,未发展地区的极端降雨量增速较大,年总降水量的增长率也较高,增长率最高为42.41 mm/a,而其他地区的6 h以内的滑动降水量极大值均呈下降趋势;（6）利用多个自动气象站长时间序列数据,可以对深圳局地气候变化特征进行更加精细化的分析,这对国家基本站而言是一种有益的补充,有助于更加深刻地发掘城市化与气候变化的关系。 相似文献
12.
Modelling Korean extreme rainfall using a Kappa distribution and maximum likelihood estimate 总被引：6，自引：0，他引：6
Summary Attempts to use the 4-parameter Kappa distribution (K4D) with the maximum likelihood estimates (MLE) on the summer extreme
daily rainfall data at 61 gauging stations over South Korea have been made to obtain reliable quantile estimates for several
return periods. A numerical algorithm for searching MLE of K4D by minimizing the negative log-likelihood function with penalty
method has been described. The isopluvial maps of estimated design values corresponding to selected return periods have been
presented. The highest return values are centered at sites in the south-western part of the Korean peninsula. The distribution
of return values for annual maxima of 2-day precipitation (AMP2) is more similar to the climatological features of annual
total precipitation of Korea than that of annual maxima of daily precipitation (AMP1). Our results of return values delineate
well the horizontal patterns of the heavy precipitation over the Korean peninsula.
Received January 15, 2001 Revised October 8, 2001 相似文献
13.
基于广州市5个国家气象站1981-2015年逐小时降水资料,应用线性趋势法、Mann-Kendall突变检验等方法对广州市气象站不同历时降雨年际变化特征进行分析,应用百分位法建立了一种基于降雨极值和降雨持续时间的短历时降雨综合等级评估方法,并使用此方法对2007-2011年广州市21次降雨过程进行综合评估,同时对灾损因子和短历时降雨因子进行相关性分析。结果表明,广州市短历时强降雨发生频次和极值均呈现上升趋势,其中1h强降雨频次上升趋势最为显著;综合等级评估方法对短历时降雨灾情具有一定的指示作用;短历时降雨持续时间和6h降雨极值与部分灾损因子相关系数较高。 相似文献
14.
Deo Anil Chand Savin S. Ramsay Hamish Holbrook Neil J. McGree Simon Magee Andrew Bell Samuel Titimaea Mulipola Haruhiru Alick Malsale Philip Mulitalo Silipa Daphne Arieta Prakash Bipen Vainikolo Vaiola Koshiba Shirley 《Climate Dynamics》2021,56(11):3967-3993
Southwest Pacific nations are among some of the worst impacted and most vulnerable globally in terms of tropical cyclone (TC)-induced flooding and accompanying risks. This study objectively quantifies the fractional contribution of TCs to extreme rainfall (hereafter, TC contributions) in the context of climate variability and change. We show that TC contributions to extreme rainfall are substantially enhanced during active phases of the Madden–Julian Oscillation and by El Niño conditions (particularly over the eastern southwest Pacific region); this enhancement is primarily attributed to increased TC activity during these event periods. There are also indications of increasing intensities of TC-induced extreme rainfall events over the past few decades. A key part of this work involves development of sophisticated Bayesian regression models for individual island nations in order to better understand the synergistic relationships between TC-induced extreme rainfall and combinations of various climatic drivers that modulate the relationship. Such models are found to be very useful for not only assessing probabilities of TC- and non-TC induced extreme rainfall events but also evaluating probabilities of extreme rainfall for cases with different underlying climatic conditions. For example, TC-induced extreme rainfall probability over Samoa can vary from ~ 95 to ~ 75% during a La Niña period, if it coincides with an active or inactive phase of the MJO, and can be reduced to ~ 30% during a combination of El Niño period and inactive phase of the MJO. Several other such cases have been assessed for different island nations, providing information that have potentially important implications for planning and preparing for TC risks in vulnerable Pacific Island nations.
相似文献15.
In this study, 43-year (1965–2007) monthly and annual rainfall time series of ten rainfall stations in a semi-arid region of western India are analyzed by adopting three tests for testing normality and by applying autoregressive technique for exploring persistence. Gradual trends are identified by three tests, and their magnitudes are assessed by the Sen’s slope estimator. Also, abrupt changes are detected by using four tests and they are further confirmed by two tests. Box-whisker plots revealed that the rainfalls of June and September are right skewed for all the stations. The annual rainfalls of Bhinder, Dhariawad, and Gogunda stations are found considerably right skewed. The normality tests indicated that the rainfall of July does not deviate from the normal distribution at all the stations. However, the annual rainfall is found non-normal at five stations. The monthly rainfalls of June, July, and August have persistence respectively at three (Mavli, Salumber, and Sarada), two (Kherwara and Sarada), and one (Mavli) stations, whereas the annual rainfall has persistence at Girwa and Mavli stations. Significantly increasing trend is detected at Mavli in the rainfall of July and in the annual rainfall (p value?>?0.05), while the negative trend in August rainfall at Dhariawad is found significant (p value?>?0.10). This study revealed that the presence of serial correlation does not affect the performance of the Mann-Kendall test. Mean values of trend magnitudes for the rainfalls of June, July, August, and September are 0.3, 0.8, ?0.4, and 0.4 mm year?1, respectively, and the overall mean value for the annual rainfall is 0.9 mm year?1. It is found that the standard normal homogeneity test and the Pettitt test are biased towards the end of the series to locate a change point. Conversely, the Bayesian test has a tendency to look for a change point in the beginning of time series. Confirmed abrupt changes in the rainfall time series are found in the year 2003 (Bhinder) in June; years 1974 (Mavli) and 1989 (Dhariawad and Salumber) in July; years 1972 (Sarada), 1990 (Dhariawad), and 2003 (Mavli) in August; years 1977 (Dhariawad), 1991 (Sarada), and 2004 (Kotra) in September; and in the year 1972 (Mavli and Sarada stations) in the annual series. It is emphasized that the significantly increasing trend of rainfall may have linkages with climate change and/or variability. Finally, this study recommends use of multiple statistical tests for analyzing hydrologic time series in order to ensure reliable decisions. 相似文献
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北京夏季日最大电力负荷预报模型建立方法探讨 总被引：2，自引：1，他引：1
为了探索夏季(6～8月)日气象负荷的最佳分离方式和引起日最大电力负荷波动的主要因子,以及建立预报模型最佳个数,基于北京市2005～2010年逐日最大电力负荷和同期的气象资料,分析了北京地区日最大电力负荷的变化规律,采用不同方法将气象负荷从夏季日最大电力负荷中分离出来,分析北京夏季气象负荷与气温、相对湿度、降水及炎热指数、高温持续日数、炎热日数持续时间、前一日气象负荷等因子之间的关系,并基于2005～2009年夏季逐日气象负荷和其主要影响因子采用逐步回归方法建立日最大电力负荷的预报模型,将2010年夏季北京日最大电力负荷作为预报效果的独立样本检验。结果显示:2005～2010年,北京逐日最大电力负荷具有明显的线性增长趋势,夏季日最大电力负荷具有显著的星期效应;与去掉逐年夏季日最大电力负荷趋势和夏季平均日最大电力负荷趋势相比,去掉全年逐日最大电力负荷变化趋势的夏季日气象负荷预报模型的拟合能力更优;北京夏季日气象负荷与当日气温的相关系数最高,与前一日气象负荷也关系密切;利用前一日相对气象负荷和当日气象要素一周逐日分别建立预报模型的拟合和预测效果较好。 相似文献
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利用重庆33站1961-2006年汛期(5-9月)逐日降水资料,定义了不同台站的极端降水阈值,统计出了不同台站近46a逐年汛期极端降水量,并进行时空分布特征分析。结果表明:重庆地区汛期极端降水量空间分布差异明显,一致性异常分布特征是最主要空间模态,空间分布可分为5个主要区域;各区代表站汛期极端降水量占总降水量的比重相当大;从长期变化趋势来看,整个重庆地区近46a来汛期极端降水变化趋势不显著;各区汛期极端降水主要存在着2~3a、5a左右的年际变化和11a左右的年代际振荡。 相似文献
20.
Extreme value analysis in the Danube lower basin discharge time series in the twentieth century 总被引：1，自引：0，他引：1
The daily discharge time series in the lower Danube basin (Orsova) have been considered for the 1900–2005 period. The extreme value theory (EVT) is applied for the study of daily discharges incorporating some covariates. Two methods are applied for fitting the data to an extreme value distribution: block maxima and peaks over thresholds (POT). Using the block maxima approach associated with the use of the generalised extreme value (GEV) distribution, monthly and seasonal maxima of daily discharge for 1900–2005 have been analysed. Separately the monthly maxima of daily discharge for the 1958–2001 was analysed in order to be compatible with atmospheric circulation available from ERA-40. For performing parameter estimation, the maximum likelihood estimation (MLE) method was used. From the three possible types of GEV distribution, a Weibull distribution fits both the monthly and seasonal maxima of the daily discharges very well. The North Atlantic Oscillation (NAO) and the first ten principal components (PC) of the decomposition in multi-variate empirical orthogonal functions (MEOF) of three atmospheric fields (sea level pressure, 500 hPa and 500–1000 hPa thickness) over the Atlantic-European region (ERA-40), have been introduced as covariates. An improvement over the model without the covariate is found by incorporating NAO as the covariate in location parameter, especially for the spring maxima having the NAO as predictor during the winter. Related to atmospheric circulation influence, the most significant results are obtained by incorporating the first 10 PCs of the MEOF in the location parameter of GEV distribution within a month before the month of the discharge level. Regarding the POT approach associated with generalised Pareto distribution (GPD), different thresholds have been tested for daily discharges in the period 1900–2005, where the maxima were fitted by a bounded (or beta) distribution. 相似文献