Short time step continuous rainfall modeling and simulation of extreme events

Spatio-Temporal Synthesis of Continuous Precipitation Series Using Vine Copulas

“…First, a temporal stochastic synthesis of rainfall is performed in different stations as single sites. The model presented by [23] is used for this purpose. The simultaneous synthesis of WSA and WSD is done using the regional empirical copula, which is described in the mentioned publication.…”

“…The development focuses on the external structure of the model. Therefore, further features related with definition and modeling of the internal structure and small events can be found in [23], which applies the same model but for single stations.…”

“…where c 14|23 , c 13|2 , and c 24|3 are conditional pairs, c 12 , c 23 , and c 34 are unconditional pairs, and f 1 , f 2 , f 3 , and f 4 are marginal densities of each of the variables. A graphical representation of this structure is shown in Figure 2, which includes a nested set of trees used to depict the decomposition.…”

“…Synthetic series are used for different purposes, e.g., planning and design, deriving long extended time series or regionalization of rainfall to areas without measurements. Among the existing precipitation models, the following types can be found: data driven generators (e.g., resampling [1,2] and disaggregation [3][4][5]), time series models (e.g., Markov chains [6]), and event-based methods [7][8][9], such as point and cluster process-based (e.g., Neyman-Scott [10][11][12][13], Barlett-Lewis [14][15][16][17][18][19][20]) or alternating renewal models [21][22][23][24].…”

“…For this reason a model based on an alternating renewal process is extended here for multiple sites. The model has been applied by [23] for modeling rainfall in single sites and was shown to be efficient for high temporal resolution applications. The model is considered easy to interpret and to transfer to new regions of interest.…”