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Water 2018, 10(7), 862; https://doi.org/10.3390/w10070862

Spatio-Temporal Synthesis of Continuous Precipitation Series Using Vine Copulas

Institute of Hydrology and Water Resources Management, Leibniz University of Hannover, Appelstr. 9A, 30167 Hannover, Germany
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Received: 24 April 2018 / Revised: 19 June 2018 / Accepted: 25 June 2018 / Published: 28 June 2018
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Abstract

Long and continuous series of precipitation in a high temporal resolution are required for several purposes, namely, urban hydrological applications, design of flash flood control structures, etc. As data of the temporally required resolution is often available for short period, it is advantageous to develop a precipitation model to allow for the generation of long synthetic series. A stochastic model is applied for this purpose, involving an alternating renewal process (ARP) describing a system consisting of spells that can take two possible states: wet or dry. Stochastic generation of rainfall time series using ARP models is straight forward for single site simulation. The aim of this work is to present an extension of the model to spatio-temporal simulations. The proposed methodology combines an occurrence model to define in which locations rainfall events occur simultaneously with a multivariate copula to generate synthetic events. Rainfall series registered in different regions of Germany are used to develop and test the methodology. Results are compared with an existing method in which long independent time series of rainfall events are transformed to spatially dependent ones by permutation of their order. The proposed model shows to perform as a satisfactory extension of the ARP model for multiple sites simulations. View Full-Text
Keywords: stochastic rainfall model; multivariate copula; spatial consistency stochastic rainfall model; multivariate copula; spatial consistency
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Callau Poduje, A.C.; Haberlandt, U. Spatio-Temporal Synthesis of Continuous Precipitation Series Using Vine Copulas. Water 2018, 10, 862.

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