2022
DOI: 10.1016/j.jhydrol.2021.127285
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Extending a joint probability modelling approach for post-processing ensemble precipitation forecasts from numerical weather prediction models

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Cited by 13 publications
(8 citation statements)
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“…For given ensemble outputs, the CRPS corresponds to the integrated quadratic distance between the cumulative distribution function (CDF) of the ensemble outputs and the observation. According to previous studies (Gneiting & Ranjan, 2011; P. Zhao et al., 2022), we also use twCPRS to assess the model performance on predicting heavy precipitation events. CRPS and twCRPS can be expressed as: CRPS=()F()PtO()Pt2dPt $\text{CRPS}={\int }_{-\infty }^{\infty }{\left(F\left({P}_{t}\right)-O\left({P}_{t}\right)\right)}^{2}d{P}_{t}$ twCRPS=()F()PtO()Pt2ω(P)dPt $tw\text{CRPS}={\int }_{-\infty }^{\infty }{\left(F\left({P}_{t}\right)-O\left({P}_{t}\right)\right)}^{2}\omega (P)d{P}_{t}$ where ω ( P ) is a weight function that equals 1 (or 0) if P ≥ q (or P < q ); and q (95% in this study) is a given threshold.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…For given ensemble outputs, the CRPS corresponds to the integrated quadratic distance between the cumulative distribution function (CDF) of the ensemble outputs and the observation. According to previous studies (Gneiting & Ranjan, 2011; P. Zhao et al., 2022), we also use twCPRS to assess the model performance on predicting heavy precipitation events. CRPS and twCRPS can be expressed as: CRPS=()F()PtO()Pt2dPt $\text{CRPS}={\int }_{-\infty }^{\infty }{\left(F\left({P}_{t}\right)-O\left({P}_{t}\right)\right)}^{2}d{P}_{t}$ twCRPS=()F()PtO()Pt2ω(P)dPt $tw\text{CRPS}={\int }_{-\infty }^{\infty }{\left(F\left({P}_{t}\right)-O\left({P}_{t}\right)\right)}^{2}\omega (P)d{P}_{t}$ where ω ( P ) is a weight function that equals 1 (or 0) if P ≥ q (or P < q ); and q (95% in this study) is a given threshold.…”
Section: Methodsmentioning
confidence: 99%
“…For given ensemble outputs, the CRPS corresponds to the integrated quadratic distance between the cumulative distribution function (CDF) of the ensemble outputs and the observation. According to previous studies (Gneiting & Ranjan, 2011;P. Zhao et al, 2022), we also use twCPRS to assess the model performance on predicting heavy precipitation events.…”
Section: Continuous Rank Probability Score (Crps)mentioning
confidence: 99%
“…Uncertainty can also be directly accommodated within the objective function(s), for example, having objective function values averaged across the range of inflows used (Saadatpour et al 2020). This is an intuitive approach and has been used in other applications, for example, post-processing ensemble climate forecasts (Zhao et al 2022). Yet another approach is to have the objective function calculated as the total of a criterion over the range of inflows used, for example, total hydro-electric power generated (Ghimire and Reddy 2014), total demand deficit (Saadatpour et al 2020) or total environmental stress (Mortazavi et al 2012).…”
Section: Incorporating Uncertainty In Reservoir Operation Optimisatio...mentioning
confidence: 99%
“…Over the past decades, ensemble forecast products have been a major contributor to improving weather forecasts (Yang et al, 2015;Zhao et al, 2022). These products take into account the uncertainty of initial states and process description in numerical weather forecasting models.…”
Section: Introductionmentioning
confidence: 99%