the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Simulation and evaluation of local daily temperature and precipitation series derived by stochastic downscaling of ERA5 reanalysis
Abstract. Reanalysis products such as the ERA5 reanalysis are commonly used as proxies for observed atmospheric conditions. These products are convenient to use due to their global coverage, the large number of available atmospheric variables and the physical consistency between these variables, as well as their relatively high spatial and temporal resolutions. However, despite the continuous improvements in accuracy and increasing spatial and temporal resolutions of reanalysis products, they may not always capture local atmospheric conditions, especially for highly localised variables such as precipitation. This paper proposes a computationally efficient stochastic downscaling of ERA5 temperature and precipitation. The method combines information from ERA5 and surface observations from nearby stations in a non-linear regression framework that combines generalised additive models (GAMs) with regression splines and auto-regressive moving average (ARMA) models to produce realistic time series of local daily temperature and precipitation. Using a wide range of evaluation criteria that address different properties of the data, the proposed framework is shown to improve the representation of local temperature and precipitation compared to ERA5 at over 4000 locations in Europe over a period of 60 years.
Status: final response (author comments only)
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RC1: 'Comment on egusphere-2025-3180', Anonymous Referee #1, 27 Nov 2025
- AC1: 'Reply on RC1', Silius Mortensønn Vandeskog, 02 Dec 2025
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RC2: 'Comment on egusphere-2025-3180', Anonymous Referee #2, 20 Jan 2026
This manuscript presents a three-step stochastic downscaling framework designed to downscale daily temperature and precipitation from the ERA5 reanalysis dataset. The manuscript is well-written overall, and the results demonstrate a solid and comprehensive analysis. However, I have two substantive concerns that warrant further consideration. First, regarding the precipitation occurrence modeling, the authors employ a Bernoulli distribution while acknowledging that temporal dependence structures cannot be adequately incorporated into the precipitation occurrence process due to the infeasibility of transforming binary precipitation occurrence into Gaussian random variables. This represents a notable limitation, as the temporal structure in precipitation occurrence may not be sufficiently preserved under this approach. Given this acknowledged technical constraint, I would encourage the authors to discuss why traditional Markov chain-based methods, which are well-established for modeling temporal dependencies in precipitation occurrence, were not adopted as an alternative. Second, while the authors acknowledge that their proposed downscaling method treats precipitation and temperature independently and thus cannot capture multivariate relationships between these variables, it remains unclear whether the framework is capable of preserving spatial or inter-site dependence structures within the downscaled precipitation and temperature fields themselves. The ability to maintain realistic spatial coherence is critical for many hydrological applications, and I recommend that the authors provide additional results and discussion addressing the performance of their method in reproducing spatial dependence patterns across the downscaled domain.
Citation: https://doi.org/10.5194/egusphere-2025-3180-RC2 - AC2: 'Reply on RC2', Silius Mortensønn Vandeskog, 03 Feb 2026
Data sets
Observed weather, ERA5 weather, CPRCM weather and DEM altitudes at all weather stations in the paper Silius M. Vandeskog https://github.com/NorskRegnesentral/downscaleToPoint
Model code and software
Code for creating all results in the paper Silius M. Vandeskog https://github.com/NorskRegnesentral/downscaleToPoint
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Please see my detailed comments in the attachment.