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Multivariate modeling of flood characteristics using Vine copulas
Environmental Earth Sciences ( IF 2.8 ) Pub Date : 2020-09-26 , DOI: 10.1007/s12665-020-09199-6
Fatih Tosunoglu , Faruk Gürbüz , Muhammet Nuri İspirli

Vine copulas provide a great deal of flexibility in modeling complex dependence structures between the variables. In spite of its importance, very limited attention has been paid in hydrology field. In the present study, multivariate modelling of flood characteristics was performed using traditional Archimedean and Elliptical and Vine copulas. In the first phase, flood characteristics [peak (Q), volume (V) and duration (D)] were computed from daily streamflow of 18 stations located in the Euphrates River Basin, Turkey. Based on various model selection criteria, the gamma and Weibull distributions for Q series, the logistic and generalized extreme value distributions for V series and the logistic, log-logistic and generalized extreme value distributions for D series were mostly found to be the best appropriate univariate models. In the second phase, the considered copulas were evaluated for modeling joint distribution of flood QVD triplets at each station. On evaluating their performance by various copula selection methods, graphical procedures and tail dependence analysis, the Vine copulas have been identified as the most valid models. In last phase, conditional and joint return periods of different flood Q, V and D combinations were estimated and the spatial distribution of the return periods were drawn using Geographic Information Systems tool.



中文翻译:

使用藤蔓copulas的洪水特征的多变量建模

藤蔓copulas为建模变量之间的复杂依存结构提供了很大的灵活性。尽管它很重要,但是在水文学领域却很少受到关注。在本研究中,使用传统的阿基米德和椭圆和藤蔓copulas进行了洪水特征的多变量建模。在第一阶段,根据位于土耳其幼发拉底河流域的18个站点的日流量计算洪水特征[峰(Q),流量(V)和持续时间(D)]。基于各种模型选择标准,Q系列的γ和Weibull分布,V的对数和广义极值分布数列和D系列的对数,对数对数和广义极值分布通常被认为是最合适的单变量模型。在第二阶段中,对考虑的系动词进行了评估,以模拟每个站点的洪水QVD三胞胎的联合分布。通过各种copula选择方法,图形化程序和尾部相关性分析评估其性能,Vine copulas被认为是最有效的模型。在最后阶段,不同洪水QVD的条件和联合返回期 估计组合,并使用地理信息系统工具绘制返回期的空间分布。

更新日期:2020-09-26
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