Coupling a Neural Network with a Spatial Downscaling Procedure to Improve Probabilistic Nowcast for Urban Rain Radars
Abstract
:1. Introduction
2. Materials and Methods
2.1. Data
2.2. PredNet
2.3. Proposed Methodology: Stochastic PredNet
- A set of equally probable scenarios S is generated in the hour before the forecast is issued, injecting into the neural network’s estimate D of the measured data a noise component consistent with the difference in spatial detail between the measured data and those “assimilated” by the network itself, using the multipliers N defined in Equation (5);
- With the same method, at each nowcast time step f ahead of 5’, a stochastic component, consistent with the uncertainty evaluated under similar conditions in the period immediately preceding its emission, is added to the prediction;
- We impose that the mean value of the ensemble members is equal to the deterministic unperturbed prediction of PredNet ( precedure), and that the Cumulative Distribution Function ( precedure) of the predicted field is equal to that of the last observed field;
- Starting from step 2, the procedure is iterated for all 12 time steps of 5’ each, and for each ensemble member, obtaining , the one-hour forecast for the chosen number M of scenarios.
Algorithm 1: Pseudocode of the stochastic PredNet algorithm |
2.4. The Benchmark Nowcast Technique: STEPS
3. Results
3.1. Spread–Skill
3.2. CRPS
3.3. Rank Histogram
3.4. Reliability Diagram
3.5. ROC Curve
4. Discussion
- We proposed a physical-statistical interpretation of the result obtained from the application of the PredNet network for the nowcasting of radar images, as the ensemble mean of a probabilistic forecast;
- This interpretation was tested by constructing around the unperturbed forecast an ensemble of scenarios obtained by adding noise, with the correct spatial correlation, compatible with the scales not explicitly resolved by the PredNet;
- The detailed analysis made on extended data set leads us to conclude that the method we proposed has performance superior or equal to the probabilistic STEPS method, which represents a well recognized benchmark;
- The proposed solution, based on a generative model, succeeds at providing an overall good quality probabilistic prediction for the entire domain covered by the radar and thus solves the problem that occurs when implementing a prediction procedure based on optical flow for a radar of limited spatial range;
- For a domain of small size, the extrapolation phase of the procedure can be performed with limited computational resources, allowing it to be performed in low-cost edge-computing devices that can be included in the same radar apparatus.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Class | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
Color (RGB) | 255 | 236 | 196 | 156 | 156 | 180 | 180 | 180 | 164 | 252 | 252 | 252 | 252 | 252 | 228 |
255 | 254 | 254 | 234 | 218 | 198 | 254 | 234 | 218 | 254 | 234 | 218 | 190 | 158 | 158 | |
255 | 252 | 252 | 252 | 252 | 252 | 156 | 156 | 156 | 156 | 156 | 156 | 196 | 156 | 164 | |
Rainfall (mm/h) | 0 | 1 | 2 | 4 | 8 | 12 | 16 | 24 | 32 | 40 | 48 | 56 | 64 | 80 | 100 |
Level L | ||||
---|---|---|---|---|
0 | (1, 96, 96) | (1, 96, 96) | (2, 96, 96) | (1, 96, 96) |
1 | (16, 48, 48) | (16, 48, 48) | (32, 48, 48) | (16, 48, 48) |
2 | (32, 24, 24) | (32, 24, 24) | (64, 24, 24) | (32, 24, 24) |
3 | (64, 12, 12) | (64, 12, 12) | (128, 12, 12) | (64, 12, 12) |
Tresh [mm/h] | NN | STEPS |
---|---|---|
1 | 0.96 | 0.93 |
2 | 0.96 | 0.93 |
5 | 0.96 | 0.94 |
10 | 0.95 | 0.94 |
16 | 0.94 | 0.93 |
20 | 0.93 | 0.91 |
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Marrocu, M.; Massidda, L. Coupling a Neural Network with a Spatial Downscaling Procedure to Improve Probabilistic Nowcast for Urban Rain Radars. Forecasting 2022, 4, 845-865. https://doi.org/10.3390/forecast4040046
Marrocu M, Massidda L. Coupling a Neural Network with a Spatial Downscaling Procedure to Improve Probabilistic Nowcast for Urban Rain Radars. Forecasting. 2022; 4(4):845-865. https://doi.org/10.3390/forecast4040046
Chicago/Turabian StyleMarrocu, Marino, and Luca Massidda. 2022. "Coupling a Neural Network with a Spatial Downscaling Procedure to Improve Probabilistic Nowcast for Urban Rain Radars" Forecasting 4, no. 4: 845-865. https://doi.org/10.3390/forecast4040046