Let-It-Rain: a web application for stochastic point rainfall generation at ungaged basins and its applicability in runoff and flood modeling

Abstract

5We present a web application named Let-It-Rain that is able to generate a 1-hour temporal resolution

Evaluation of Four GLUE Likelihood Measures and Behavior of Large Parameter Samples in ISPSO-GLUE for TOPMODEL

“…The multi-modal nature of ISPSO helps particles find solutions from regions of the search space that are substantially different yet producing similar results. ISPSO was implemented in the R language [38] and has successfully been applied for floodway optimization [39], stochastic rainfall generation [40][41][42][43], storm tracking [44], and climate change studies [45,46].…”

A hybrid stochastic rainfall model that reproduces some important rainfall characteristics at hourly to yearly timescales

“…As suggested by the figure, Poisson cluster rainfall models are designed to reflect the original spatial structure of rainstorms containing multiple rain cells (Austin and Houze Jr., 1972; Olsson and Burlando, 2002), so they are good at reproducing the first-to the third-order statistics of the observed rainfall at quarter-hourly to daily accumulation levels, as well as other hydrologically important statistics such as the proportion of non-rainy periods (Olsson and Burlando, 2002). The performance of the Poisson cluster rainfall models in reproducing the statistical properties of observed rainfall has been validated for various climates at numerous locations across the globe (Bo et al, 1994;Cameron et al, 2000;Cowpertwait, 1991;Cowpertwait et al, 2007;Derzekos et al, 2005;Entekhabi et al, 1989;Glasbey et al, 1995;Gyasi-Agyei and Willgoose, 1997;Gyasi-Agyei, 1999;Islam et al, 1990;Kaczmarska et al, 2014Kaczmarska et al, , 2015Khaliq and Cunnane, 1996;Kim et al, 2013bKim et al, , 2014Kim et al, , 2016Kim et al, , 2017aKossieris et al, 2015Kossieris et al, , 2016Wheater, 1993, 1994a, b;Ritschel et al, 2017;Rodriguez-Iturbe et al, 1987, 1988Smithers et al, 2002;Velghe et al, 1994;Verhoest et al, 1997;Wasko et al, 2015). For this reason, they have been widely applied to assess the risks exerted on human and natural systems such as floods (Paschalis et al, 2014), water availability (Faramarzi et al, 2009), contaminant transport (Solo-Gabriele, 1998, and landslides…”

A doubly stochastic rainfall model with exponentially decaying pulses

“…the parameters describing the temporal structure of a storm were randomised so that each storm could have a different frequency of cells arrivals, its own cell duration and storm duration distributions (RodriguezIturbe et al 1988) so as to improve the reproduction of dry periods at a range of time-scales; this work was taken further (Kaczmarska et al 2014) to include the cell intensity distribution parameter into the randomisation; 2. other distributions were used for the cell intensity (Onof and Wheater 1994), and in particular a dependence between cell intensity and duration was introduced (Evin and Favre 2008); 3. two cell-types were considered for each season (Cowpertwait 1994); 4. work on the most useful fitting statistics was carried out (Khaliq and Cunane 1996); 5. the models were regionalised (Kim et al 2016); 6. the models' ability to reproduce extremes was examined/improved (Verhoest et al 1997;Cameron et al 2000); 7. non-stationarity was introduced to reproduce temporally evolving rainfall properties (Burton et al 2010;Evin and Favre 2013;Kaczmarska et al 2015); 8. other types of pulses were considered, e.g. by adding a jitter to a rectangular shape (Onof and Wheater 1994) or replacing the pulse by the clustering of a sequence of instantaneous pulses (Cowpertwait et al 2007); 9.…”