Estimating storm surge intensity with Poisson bivariate maximum entropy distributions based on copulas

This paper introduces four kinds of novel bivariate maximum entropy distributions based on bivariate normal copula, Gumbel–Hougaard copula, Clayton copula and Frank copula. These joint distributions consist of two marginal univariate maximum entropy distributions. Four types of Poisson bivariate compound maximum entropy distributions are developed, based on the occurrence frequency of typhoons, on these novel bivariate maximum entropy distributions and on bivariate compound extreme value theory. Groups of disaster-induced typhoon processes since 1949–2001 in Qingdao area are selected, and the joint distribution of extreme water level and corresponding significant wave height in the same typhoon processes are established using the above Poisson bivariate compound maximum entropy distributions. The results show that all these four distributions are good enough to fit the original data. A novel grade of disaster-induced typhoon surges intensity is established based on the joint return period of extreme water level and corresponding significant wave height, and the disaster-induced typhoons in Qingdao verify this grade criterion.     

Quantifying uncertainties associated with depth duration frequency curves

Uncertainty in depth–duration–frequency (DDF) curves is usually disregarded in the view of difficulties associated in assigning a value to it. In central Iran, precipitation duration is often long and characterized with low intensity leading to a considerable uncertainty in the parameters of the probabilistic distributions describing rainfall depth. In this paper, the daily rainfall depths from 4 stations in the Zayanderood basin, Iran, were analysed, and a generalized extreme value distribution was fitted to the maximum yearly rainfall for durations of 1, 2, 3, 4 and 5 days. DDF curves were described as a function of rainfall duration (D) and return period (T). Uncertainties of the rainfall depth in the DDF curves were estimated with the bootstrap sampling method and were described by a normal probability density function. Standard deviations were modeled as a function of rainfall duration and rainfall depth using 10⁴ bootstrap samples for all the durations and return periods considered for each rainfall station.     

Hydrologic behavior and flood probability for selected arid basins in Makkah area, western Saudi Arabia

In arid regions, flash floods often occur as a consequence of excessive rainfall. Occasionally causing major loss of property and life, floods are large events of relatively short duration. Makkah area in western Saudi Arabia is characterized by high rainfall intensity that leads to flash floods. This study quantifies the hydrological characteristics and flood probability of some major wadis in western Saudi Arabia, including Na’man, Fatimah, and Usfan. Flood responses in these wadis vary due to the nature and rainfall distribution within these wadis. Rainfall frequency analysis was performed using selected annual maximums of 24-h rainfall from eight stations located in the area. Two of the most applied methods of statistical distribution, Gumbel’s extreme value distribution and log Pearson type III distribution, were applied to maximum daily rainfall data over 26 to 40 years. The Gumbel’s model was found to be the best fitting model for identifying and predicting future rainfall occurrence. Rainfall estimations from different return periods were identified. Probable maximum floods of the major wadis studied were also estimated for different return periods, which were extrapolated from the probable maximum precipitation.     

沙尘暴灾害致灾因子三维联合分布与重现期探索

探讨多致灾因子对Copula联合分布模型在三维多致灾因子综合分析中的扩展.针对沙尘暴形成的3个基本条件:大风、丰富的沙尘源和不稳定的大气层结,以内蒙古镶黄旗1990-2008年的强沙尘暴灾害事件为案例,建立了经向环流指数、地面平均最大风速和地表土壤湿度3个基本特征变量的联合分布,计算了基于联合分布的联合重现期.研究表明,镶黄旗强沙尘暴事件的三维致灾因子符合Frank Copula函数构建条件,该函数能够很好地描述强沙尘暴灾害3个基本特征变量的联合分布,具备扩展到三维的能力.相对于二维Copula函数拟合效果,三维Frank Copula在中高尾部分的拟合有很大提高.三变量联合重现期的计算结果更加贴近实际情况.     

年最大洪水两变量联合分布研究

采用Von Mises分布拟合年最大洪水发生时间的概率分布,采用皮尔逊Ⅲ型分布拟合年最大洪水量级的概率分布,选用能够较好反映年最大洪水发生时间和量级之间相关结构的Gumbel Archimedean Copula函数,建立两变量联合分布,并定义和分析条件频率、联合频率和两变量重现期.实例分析表明年最大洪水的两变量分布拟合较好,可挖掘更多信息,为洪水设计分析提供了一条新的途径.     

海岸地区致灾台风暴潮的长期分布模式

考虑台风导致的高水位和海浪波高对风暴潮灾害的贡献,对1949年以来影响青岛地区的台风暴潮进行了抽样统计.基于二维的泊松冈贝尔逻辑分布模式,对海岸地区的致灾风暴潮进行了长期的随机分析.与传统的警戒水位法不同,新模式能够反映多种环境荷载的综合作用,推算了青岛地区的特大台风暴潮灾害的重现期.计算结果显示,二维复合分布模式适合于描述台风暴潮过程中极值水位与相应波高的联合概率,所得结论对青岛地区的防潮减灾规划和工程建设具有指导意义.     

Let’s not forget about non-land-falling cyclones: tendencies and impacts in Puerto Rico

The paper introduces a three-dimensional numerical technique to assess typhoon hazards in China coastal regions based on a series of full-set numerical meteorology simulations. The boundary and initial conditions of the simulations are provided by adding pseudorandom fluctuations, which represent the localized, short-term meteorological variations, to synoptic fields, which show the large-scale, long-term meteorological patterns. A series of bogus typhoons are inserted into the initial field to provide the “seeds” from which the artificial typhoons could grow. The initial positions and intensities of the bogus typhoons are drawn from the random variables whose statistics agree with those derived from historical typhoon track data. In the present study, 1503 full-set meteorology simulations of artificial typhoons are conducted. The extreme wind speeds versus return periods calculated from the simulation results are compared to not only the specifications in the load code, but also the results from the previous studies. It is found that the extreme wind speeds in the Pearl-River Delta are, contradicting to the common expectation, higher than at the mainland side of the Taiwan Strait, which imply that the typhoons hitting Guangdong are, on average, more intense than those influencing Fujian. Given the possibility to improve the three-dimensional meteorology model in the future, the simulation technique proposed in the present study provides a novel direction to assess the meteorological hazards, including threads posted by typhoons.

     

Performance of nested WRF model in typhoon simulations over West Pacific and South China Sea

Forecasting skill of weather research and forecasting (WRF) model in simulating typhoons over the West Pacific and South China Sea with different trajectories has been studied in terms of track direction and intensity. Four distinct types of typhoons are chosen for this study in such a way that one of them turns toward left during its motion and had landfall, while the second took a right turn before landfall. The third typhoon followed almost a straight line path during its course of motion, while the fourth typhoon tracked toward the coast and just before landfall, ceased its motion and travelled in reverse direction. WRF model has been nested in one way with a coarse resolution of 9?km and a fine resolution of 3?km for this study, and the experiments are performed with National Center for Environmental Prediction-Global Forecasting System (NCEP-GFS) analyses and forecast fields. The model has been integrated up to 96?h and the simulation results are compared with observed and analyzed fields. The results show that the WRF model could satisfactorily simulate the typhoons in terms of time and location of landfall, mean sea-level pressure, maximum wind speed, etc. Results also show that the sensitivity of model resolution is less in predicting the track, while the fine-resolution model component predicted slightly better in terms of central pressure drop and maximum wind. In the case of typhoon motion speed, the coarse-resolution component of the model predicted the landfall time ahead of the actual, whereas the finer one produced either very close to the best track or lagging little behind the best track though the difference in forecast between the model components is minimal. The general tendency of track error forecast is that it increases almost linearly up to 48?h of model simulations and then it diverges quickly. The results also show that the salient features of typhoons such as warm central core, radial increase of wind speed, etc. are simulated well by both the coarse and fine domains of the WRF model.     

不同历时设计暴雨组合的风险率分析

基于Copula理论与方法,以广州1951~2010年的日降水为例,以最大日降水量为基准,构建最大日降水量(W1)与历时3日(W3)降水量,最大日降水量(W1)与历时7日(W7)降水量两个组合的联合概率分布模式。经择优检验建立了边缘分布为广义极值和P-III型的Gumbel-Hougaard Copula两变量联合分布。随之,推算了两个组合降水的同现重现期和设计暴雨值。最后,依据条件分布计算了在大于或小于年最大日降水量特定设计暴雨条件下超过历时3日或7日降水设计值的风险率。     

温州群发性坡面泥石流临界雨量研究

温州地处浙江东南沿海,降雨充沛。台风等极端气候灾害引起的强降雨次数繁多,并可能引发地区周边泥石流等地质灾害。收集相关地区、时段的气象、水文资料,并对研究区降雨数据进行处理,在野外实地调查、遥感解译的基础上,根据研究区地质灾害调查结果,总结群发性坡面泥石流特征,分析其形成的地质环境条件。针对致灾因子降雨量与温州地区群发性泥石流灾害的因果关系,获取坡面泥石流发生周期内的各时段降雨量,并利用相关性分析确定最大1h、3h雨强为研究变量,在二维坐标平面上投影近百个案例点,拟合得出临界雨量方程,并根据泥石流发生与否划分区域计算超越概率和误报概率,得出温州地区泥石流爆发前期雨强满足"两倍关系"的经验结论,寻求解决温州地区实际泥石流地质灾害预警问题的可行性。     

区间暴雨和外江洪水位遭遇组合的风险

流域区间的治涝方案以及排涝设施的规模都与区间暴雨和外江洪水位的遭遇息息相关,因此需要研究区间暴雨与外江洪水位遭遇的风险规律.采用copula函数建立区间暴雨和外江洪水位的联合分布,用联合概率密度来描述两者遭遇的机率,提出了以遭遇为设计组合的排涝风险率和重现期的分析方法.实例研究表明,copula函数能够较好地模拟广东省阳山县区间暴雨与外江洪水位的联合分布;联合概率密度曲线表现为明显的正偏态分布,对于不超过10年一遇的暴雨,遭遇同频率的外江水位的机率最大;但对10年一遇以上的暴雨,最大遭遇机率的外江水位的重现期低于暴雨重现期;对任一排涝重现期,则有成反相关的区间最大暴雨和外江洪水位重现期的多种组合方案,且任一组合方案的暴雨重现期都大于排涝重现期.     

Coupling typhoon rainfall forecasting with overland-flow modeling for early warning of inundation

Taiwan suffers from an average of three or four typhoons annually, and the inundation caused by the heavy precipitation that is associated with typhoons frequently occurs in lowlands and floodplains. Potential inundation maps have been widely used as references to set up non-structural strategies for mitigating flood hazards. However, spatiotemporal rainfall distributions must be addressed to improve the accuracy of inundation forecasting for emergency response operations. This study presents a system for 24-h-ahead early warning of inundation, by coupling the forecasting of typhoon rainfall with the modeling of overland flow. A typhoon rainfall climatology model (TRCM) is introduced to forecast dynamically the spatiotemporal rainfall distribution based on typhoon tracks. The systematic scheme for early warning of inundation based on the spatiotemporal downscaling of rainfall and 2D overland-flow modeling yields not only the extent of inundation, but also the time to maximum inundation depth. The scheme is superior to traditional early warning method referring to the maximum extent and depth of inundation determined from conditional uniform rainfall. Analytical results show that coupling TRCM with an overland-flow model yields satisfactory inundation hydrographs for warning of the extent and peak time of inundation. This study also shows that the accuracy of forecasting spatiotemporal rainfall patterns determines the performance of inundation forecasting, which is critical to emergency response operations.     

Comparison of logistic regressions and snowfall intensity–duration threshold as forecasting tools for direct-action snow avalanches in the Presidential Range,New Hampshire,USA

Built environment, which includes some major investments in Oman, has been designed based on historical data and do not incorporate the climate change effects. This study estimates potential variations of the hourly annual maximum rainfall (AMR) in the future in Salalah, Oman. Of the five climate models, two were selected based on their ability to simulate local rainfall characteristics. A two-stage downscaling–disaggregation approach was applied. In the first stage, daily rainfall projections in 2040–2059 and 2080–2099 periods from MRI-CGCM3 and CNRM-CM5 models based on two Representative Concentration Pathways (RCP8.5 and RCP4.5) were downscaled to the local daily scale using a stochastic downscaling software (LARS-WG5.5). In the second stage, the stochastically downscaled daily rainfall time series were disaggregated using K-nearest neighbour technique into hourly series. The AMRs, extracted from 20 years of projections for four scenarios and two future periods were then fitted with the generalized extreme value distribution to obtain the rainfall intensity–frequency relationship. These results were compared with a similar relationship developed for the AMRs in baseline period. The results show that the reduction in number of wet days and increases in total rainfall will collectively intensify the future rainfall regime. A marked difference between future and historical intensity–frequency relationships was found with greater changes estimated for higher return periods. Furthermore, intensification of rainfall regime was projected to be stronger towards the end of the twenty-first century.     

A new model for calculating the design wave height in typhoon-affected sea areas

High precision design wave height is required in extreme marine environments in typhoon-affected sea areas. A new model is built under typhoon effect to calculate the design wave heights. The new model has multiple undetermined parameters, and it is able to fit observed data more flexibly and accurately. In addition, the distribution functions of this new model are based on the maximum entropy principle. Therefore, they can avoid the apriority, which means arbitrarily assigning Poisson distribution to describe the distribution of typhoon occurrence frequency and assigning Gumbel distribution or Pearson-III distribution to describe the distribution of extreme events in the process of applying the compound distribution to deduce the design elevations. The observed data of 18-year (1984–2001) extreme wave heights and the corresponding typhoon events in Maidao are used to test the model. Test results show that the new model is theoretically more stable and more precise when predicting the design wave heights under the typhoon-affected sea areas.     

登陆台风精细结构的观测、预报与影响评估

2015年立项的国家重点基础研究发展计划项目(973计划)"登陆台风精细结构的观测、预报与影响评估"将通过进行登陆台风精细结构的野外科学试验,开展登陆台风精细结构的多源资料分析理论和方法研究,探索登陆台风精细化结构演变规律及其对风雨分布的影响机理,发展高分辨率台风数值预报模式关键技术,开展台风灾害影响(预)评估方法研究等,揭示环境因子及其自身内部的多尺度系统相互作用如何影响登陆台风精细化结构的演变,以及精细结构的演变如何影响台风风雨强度和分布,力争提高登陆台风精细结构的模拟、预报和影响评估能力。     

Relationships between typhoon types and debris flow disasters in Taiwan

Frequent debris flow disasters caused by heavy precipitation during the annual typhoon season are some of the most serious disasters in Taiwan. This study is on the debris flow disasters associated with the typhoons that hit Taiwan between 1986 and 2004. Typhoon data and records of debris flow disasters available for Nantou and Hualien counties in Taiwan were analyzed. The paths and rainfall characteristics of typhoons were found to have a great effect on the debris flows at these locations. Accordingly, the typhoons were grouped into four major types based on their paths and related disasters. The relationships between rainfall intensity and accumulation and debris flow are discussed for the four major typhoon types. The information may form the basis for providing useful indicators for disaster management.     

降雨重现期及其用于滑坡概率分析的探讨

极端气候条件往往会诱发各种地质灾害,而降雨型滑坡的发生则与极值降雨关系密切。为了有效预防和控制汛期滑坡灾害的发生,定量评估滑坡灾害造成的人员与经济风险,讨论了汛期极值降雨条件下滑坡概率的分析方法。利用Gumbel极值分布理论,以三峡库区巴东县1990~2006年日降雨量为基础资料,采用统计分析方法,求取研究区在汛期(6月中旬至9月)最大一次连续降雨量、多日累积最大降雨量的极值及其分布曲线; 在此基础上,以研究区一个滑坡实例为对象,综合采用渗流模拟、稳定性分析和基于蒙特卡罗的滑坡概率分析方法,讨论了降雨极值及其重现期成果分别在降雨新生型滑坡和降雨复活型滑坡概率分析中的应用思路与方法。结果表明,随着重现期的增加,一次降雨过程的降雨量也增加; 随着降雨日数的增加,具有不同重现期降雨事件的累积降雨量均会增加,且重现期越长,累积降雨量值会越大; 降雨极值曲线分别应用于降雨新生型和降雨复活型滑坡概率分析的思路是可行并有效的。     

Relationships between typhoons,climate and crime rates in Taiwan

The literature indicates climate change is likely to cause more frequent and intense extreme weather events along with higher temperatures and altered precipitation. Taiwan frequently suffers from extremes in the form of typhoons, and their effects threaten both social stability and public security. Temperature effects through climate change are also expected to alter crime rates. We examine the immediate and longer-run impacts of typhoons and other climate variables on crime rates in Taiwan. The immediate results suggest that typhoon intensity has a significantly negative influence on rates of crime, including all violent crimes and automobile thefts. They also show that warmer temperatures have a strong positive effect on all violent crimes and all the subtypes of violent crimes. In addition, longer duration typhoons increase the immediate rates of all violent crimes, automobile thefts and muggings while decreasing the rate of burglaries. In the long run, we find that typhoon intensity, duration and landfall have persistent, lagged effects on crime that vary from negative to positive. For example, strong-intensity typhoons have significantly negative lagged effects on crimes 3–5 months in the future but positive lagged effects on crimes in future months 6–9. Finally, projections under the IPCC climate change scenarios show all violent crimes will increase.     

考虑极端天气时港珠澳大桥人工岛设计波浪要素——I.数值模拟中不利台风路径选取

假想台风下的波浪数值模拟是跨海桥隧工程风险评价的重要内容。风场的生成方法与不利路径的选择对于波浪模拟结果有极大影响。研究检验了在单一假想台风风场下进行波浪模拟的合理性,分析了台风路径对于工程区不同方向波浪影响的差异。通过构建珠江口台风浪数学模型,对采用风圈半径方法筛选出的104场台风路径,按300年一遇强度进行了蒙特卡罗模拟。结果表明,对西人工岛处波浪场有重大影响的不利台风路径处于珠江口100km范围内。由此确定了体现不同特征的7条不利台风路径,为进一步研究极端天气条件下珠江口台风浪过程提供基础。研究成果为沿海河口地区易受台风影响的大型工程波浪要素分析提供方法支撑。     

Application of bivariate extreme value distribution to flood frequency analysis: a case study of Northwestern Mexico

In Mexico, poverty has forced people to live almost on the water of rivers. This situation along with the occurrence of floods is a serious problem for the local governments. In order to protect their lives and goods, it is very important to account with a mathematical tool that may reduce the uncertainties in computing the design events for different return periods. In this paper, the Logistic model for bivariate extreme value distribution with Weibull-2 and Mixed Weibull marginals is proposed for the case of flood frequency analysis. A procedure to estimate their parameters based on the maximum likelihood method is developed. A region in Northwestern Mexico with 16 gauging stations has been selected to apply the model and regional at-site quantiles were estimated. A significant improvement occurs, measured through the use of a goodness-of-fit test, when parameters are estimated using the bivariate distribution instead of its univariate counterpart. Results suggest that it is very important to consider the Mixed Weibull distribution and its bivariate option when analyzing floods generated by a␣mixture of two populations.