27 research outputs found
A continuous rainfall model based on vine copulas
Copulas have already proven their flexibility in rainfall modelling. Yet,
their use is generally restricted to the description of bivariate dependence.
Recently, vine copulas have been introduced, allowing multi-dimensional
dependence structures to be described on the basis of a stage by stage mixing
of 2-dimensional copulas. This paper explores the use of such vine copulas
in order to incorporate all relevant dependences between the storm variables
of interest. On the basis of such fitted vine copulas, an external storm
structure is modelled. An internal storm structure is superimposed based on
Huff curves, such that a continuous time series of rainfall is generated. The
performance of the rainfall model is evaluated through a statistical
comparison between an ensemble of synthetical rainfall series and the
observed rainfall series and through the comparison of the annual maxima
A copula-based stochastic generator for coupled precipitation and evaporation time series
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Global scale water stages from SAR imagery (GlosSARi) to support global flood forecasting
Despite the success of studies attempting to integrate remotely sensed data and flood modelling and the need to provide near-real time data routinely on a global scale as well as setting up online data archives, there is to date a lack of spatially and temporally distributed hydraulic parameters to support ongoing efforts in modelling. Therefore, the objective of this project is to provide a global evaluation and benchmark data set of floodplain water stages with uncertainties and assimilation in a large scale flood model using space-borne radar imagery. An algorithm is developed for automated retrieval of water stages with uncertainties from a sequence of radar imagery and data are assimilated in a flood model using the Tewkesbury 2007 flood event as a feasibility study.
The retrieval method that we employ is based on possibility theory which is an extension of fuzzy sets and that encompasses probability theory. In our case we first attempt to identify main sources of uncertainty in the retrieval of water stages from radar imagery for which we define physically meaningful ranges of parameter values. Possibilities of values are then computed for each parameter using a triangular ‘membership’ function. This procedure allows the computation of possible values of water stages at maximum flood extents along a river at many different locations. At a later stage in the project these data are then used in assimilation, calibration or validation of a flood model.
The application is subsequently extended to a global scale using wide swath radar imagery and a simple global flood forecasting model thereby providing improved river discharge estimates to update the latter