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首页> 外文期刊>Journal of Geoscience and Environment Protection >On Return Periodof the Largest Historical Flood
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On Return Periodof the Largest Historical Flood

机译:历史上最大洪水的重现期

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摘要

The use of nonsystematic flood data forstatistical purposes depends on reliability of assessment both flood magnitudesand their return period. The earliest known extreme flood year is usually thebeginning of the historical record. Even though the magnitudes of historicfloods are properly assessed, a problem of their retun periods remainsunsolved. Only largest flood (XM) is known during whole historical period andits occurrence carves the mark of the beginning of the historical period anddefines its length (L). So, it is a common practice of using the earliest knownflood year as the beginning of the record. It means that the L value selectedis an empirical estimate of the lower bound on the effective historical lengthM. The estimation of the return period of XM based on its occurrence, i.e. , gives the severe upward bias. Problem is to estimate thetime period (M) representative of the largest observed flood XM. From the discreteuniform distribution with support of the probability of the L position of XMone gets ?which has been takenas the return period of XM and as the effective historical record length. Theefficiency of using the largest historical flood (XM) for large quantileestimation (i.e. one with return period T = 100 years) has been assessed usingmaximum likelihood (ML) method with various length of systematic record (N) andvarious estimates of historical period length ?com- paring accuracywith the case when only systematic records alone (N) are used. The i-th simula-tion procedure incorporates systematic record and one largest historic flood(XMi) in the period M which appeared in the Li year backward from the end ofhistorical period. The simulation result for selected distributions, values oftheir parameters, different N and M values are presented in terms of bias (B)and root mean square error (RMSE) of the quantile of interest and widelydiscussed.
机译:非系统性洪水数据用于统计目的取决于洪水幅度及其返回周期评估的可靠性。已知最早的极端洪水年份通常是历史记录的开始。即使对历史洪水的规模进行了适当的评估,其恢复期的问题仍未解决。在整个历史时期内只有最大的洪水(XM)是已知的,其发生刻印了历史时期的开始并定义了洪水的长度(L)。因此,使用最早的已知洪水年份作为记录的开始是一种常见的做法。这意味着所选的L值是有效历史长度M的下限的经验估计。根据XM的发生估算XM的返回期,即产生严重的向上偏差。问题是估计代表最大观测洪水XM的时间段(M)。在XMone的L位置概率的支持下,从离散均匀分布中获得?,它已被用作XM的返回期和有效的历史记录长度。已使用最大似然(ML)方法评估了最大历史洪水(XM)进行大型分位数估计的效率,ML方法具有系统记录(N)的各种长度,以及历史周期长度的各种估计(com) -仅使用系统记录(N)时的准确性。第i次模拟程序结合了系统记录和M时期的最大历史洪水(XMi),M时期是从历史时期末开始的黎历年。所选分布的仿真结果,其参数值,不同的N和M值以目标分位数的偏差(B)和均方根误差(RMSE)表示,并进行了广泛讨论。

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