1. Introduction
Solar ultraviolet (UV) radiation affects human health differently depending on the level of exposure. UV radiation is the primary driver of vitamin D synthesis in the skin [
1,
2], which has positive effects on human health. Among other things, vitamin D supports musculoskeletal health and beneficially modulates the systemic immune response [
3]. As vitamin D can also be obtained through supplementation, exposure to solar radiation should be limited due to its harmful effects, such as sunburn (erythema), eye damage (photokeratitis, cataract), and an increased risk of skin cancer [
4,
5].
With the discovery of the Antarctic ozone hole in 1985, growing concerns about rising ultraviolet radiation levels on the Earth’s surface led to the establishment of monitoring networks. In addition to changes in atmospheric ozone concentration, changes in cloud cover, aerosols, and surface albedo can significantly influence the UV radiation at the ground. These factors are impacted by climate change, and there are numerous interactions and feedback reactions between them and climate change [
6,
7,
8]. A current data and trend analysis of UV measurement series in Dortmund and Uccle shows a statistically significant increase in ground-level UV radiation since 1997 and 1991, respectively, with the evaluation of influencing factors suggesting that changes in cloud cover are a main reason for this increase at these two locations [
9].
Although ground-based measurements provide the actual radiation levels on the Earth’s surface, their spatial range of validity is confined to the surroundings of the measurement station since local conditions of surface albedo as well as atmospheric conditions of cloud cover, ozone and aerosol amount have a strong impact on the measured radiation. An advantage of satellite-based imagery is its ability to provide extensive geographic coverage. However, their acquisition is not continuous, and the representativeness of the resulting data depends on the spatial, spectral and radiometric resolution of the measurement device onboard the satellite. Moreover, with this technique, it is not possible to measure the UV radiation at the Earth’s surface directly, but there are methods of combining radiative transfer modelling with satellite data to calculate UV maps [
10,
11,
12,
13,
14].
In this study, we present a straightforward method for generating UV Index maps (UVI, see definition in [
15]) by combining clear-sky model calculations with cloud modification factors (CMF) derived from satellite imagery to account for the impact of cloud cover on the UV Index. Nowadays this method is in routine use in the framework of the Austrian Solar UV Measurement Network to calculate UV Index maps of Europe every 15 minutes.
2. Materials and Methods
The following sections detail the ground-based measurements used to evaluate the representativeness of the satellite-derived UV Index maps, describe the clear-sky model along with its input parameters, and outline the method for estimating the cloud modification factor. Additionally, the process of generating the UV Index maps is presented.
2.1. Ground-Based Measurements
To compare the satellite-derived UV Index maps with ground-based measurements, UV Index data measured at 25 sites (see
Figure 1) located in Germany (16 stations) and Austria (9 stations) were selected from the German Solar UV Monitoring Network and the Austrian Solar UV Measurement Network, respectively. In addition, data from two Swiss stations provided to the Austrian Solar UV Measurement Network by the Physical Meteorological Observatory in Davos (PMOD/WRC), is used for the comparison.
Reliability of the data, coverage of the year 2022 and a measurement repeat cycle of at least 10 minutes were the criteria for selection. The sites cover rural and urban areas from the sea in the North of Germany to the alpine region in the South, covering different altitudes. Most of the stations (19) are located below 900 m a.s.l., five of them are at intermediate altitudes from 900 m a.s.l. to 1600 m a.s.l. and three high alpine stations are located in the Alps above 2500 m a.s.l..
For the measurements predominantly broadband devices are utilized (see
Table 1), which are either sglux ERYCA broadband radiometer (site acronyms with 4 letters, Germany) or Solar Light Model 501 (site acronyms with 3 letters, Austria and Switzerland). At seven sites of the German Solar UV Monitoring Network spectral measurements are performed with mostly BTS2048-UV-S-WP spectroradiometers (site acronyms with 2 letters except for DO) and a Bentham DTM300 double monochromator at Dortmund (DO) (see site description in [
9]).
The measurement devices of the German Solar UV Monitoring Network are usually calibrated once a year with uncertainties of
for the spectral devices, and
for the broadband radiometers, respectively. The Austrian Solar Light detectors are calibrated once a year with an uncertainty of
[
16] and also PMOD/WRC is performing calibrations every year with a calibration uncertainty of
according to the calibration certificates. All calibrations are traceable to the SI-Units via Physikalisch-Technische Bundesanstalt (PTB).
The UV Index measurements were homogenized to 10 minute mean values and then interpolated to match the timeline of satellite cloud information, which is available every 15 minutes. Since the calculation of the CMF is associated with significant uncertainties for low solar elevations and to limit the effect of the horizon on ground-based measurements, further analysis is conducted with data from solar elevations of 20° and higher. While for the four most southern sites 20° solar elevation is reached even around winter solstice at noon, this is not the case for more northern stations. The effect of the limitation in solar elevation is increasing with latitude leading to data from January, November and December of 2022 being ignored for further analysis for the most northern stations TODO and ZIRC. Most of the stations provide data covering the whole year leading to 9.000 up to 10.500 data points (10 minute means) per station for the analysis, with significant data gaps only for WFJ (gap from 2022-08-17 to 2022-12-01) and LI (gap from 2022-01-01 2022-04-06) reducing the number of data points to approximately 7700 for both stations.
2.1.1. Filtering of Ground-Based Measurements
The satellite-derived UV Index maps depend on two factors: clear-sky model calculations for each pixel and the derived CMF to incorporate the effect of cloudiness. So, first clear-sky model calculations are compared to ground-based UV Index data gathered under clear-sky conditions.
To filter the measurements for clear-sky conditions, the idea is to take advantage of the smooth behaviour of the UV Index in the course of a cloudless day and the magnitude of the measurements being close to the clear-sky model calculation. If the standard deviation of three consecutive ratios of measurement to clear-sky model value within a rolling window is less than 0.03 and each ratio exceeds 0.7, then these data points are considered to represent cloud-free conditions.
With this filtering method between 59% and 78% of ground-based data per site is found to represent cloudy conditions with an average of 66% across all stations. The proportion for most of the stations is close to this average (see
Appendix A). The largest portion of cloudy measurements is found at FIBG with 78%, whereas the lowest amount of clouds is found at DOR (59%) closely followed by FRHA with 60%.
2.2. Clear-Sky Model
A lookup table of erythemal irradiance at the surface for clear-sky conditions (
) was pre-calculated with the sdisort solver of the radiative transfer model libRadtran [
17,
18]. The entries of
are solar elevation, height above sea level (m a.s.l.), total column ozone, surface albedo and Angstrom
. The grid points (see
Table 2) of
were chosen so that the discrepancy between an interpolated and calculated value is less than 1%. The eccentricity of the Earth’s orbit is taken into account by a separate multiplication factor as found in the libRadtran source code.
For the operational nowcasting system of the Austrian Solar UV Measurement Network clear-sky UV Index maps for the desired area are extracted from
by providing day-to-day forecasts of ozone, albedo and aerosol optical depth (AOD at 340 nm) from the Copernicus Atmospheric Monitoring Service (CAMS) global model forecast [
19] with a resolution of 0.4° (approximately 29 km × 44 km), where Angstrom
is calculated from the AOD with Angstrom
= 1.4.
The broadband albedo product of CAMS (forecast surface albedo) covers the wavelength range from UV to near-infrared [
20]. However, this broad coverage makes it a general estimate and less specific for the UV surface albedo required as input for
. According to [
21], spectral surface albedo measurements from 335 nm to 772 nm for various natural surfaces (e.g. grasslands, deciduous forests, and deserts) indicate an increase in surface albedo with rising wavelength, starting from low values around 0.05 in the UV. In comparison, during the summer of 2022 (May to October), over 90% of CAMS broadband surface albedo values across all sites range between 0.1 and 0.2, indicating an overestimation of surface albedo in the UV range.
Under winter conditions, the CAMS broadband surface albedo analysed for all site pixels in the year 2022 does not exceed 0.58, even at high-altitude stations with a lot of snow cover. This is partly due to the CAMS albedo value representing a mean value over a rather big pixel area (about 29 km × 44 km). Especially for high-altitude sites, the corresponding CAMS pixel areas encompass a highly variable topography from low valley altitudes to mountain tops with non-uniform snow cover. Additionally, the alpine region is largely forested, and these forests typically lose their snow cover soon after snowfall reducing the satellite-measured surface albedo. The discrepancy between the local surface albedo influencing the ground-based measurements and the satellite-measured surface albedo due to the aforementioned geographical factors is strongly dependent on the exact location of the site in the CAMS pixel and the local surroundings.
Moreover, the broadband nature of the CAMS surface albedo product leads to an underestimation of UV surface albedo across all sites. Ground-based surface albedo measurements conducted in Greenland under snow and ice conditions show significantly higher UV albedo values, ranging from 0.65 (aged snow) to 0.85 (fresh snow), with albedo decreasing as wavelength increases [
21]. Additional research [
22,
23,
24] indicates that surface albedo for snow-covered areas in the UV varies between 0.6 and 0.95, depending on snow type (e.g., fresh, old, wet, or dry). This demonstrates that local UV albedo, especially in winter with snow cover, can be higher than the satellite-derived broadband estimate.
To address the discrepancy between broadband and UV surface albedo, CAMS surface albedo values below 0.2 (summer cut-off) were adjusted to 0.05, and those above 0.2 were increased by 30%, capping the maximum UV surface albedo at 0.75 for high-altitude stations. This is a simple approach that does not take into account site-specific geographical factors, resulting in higher uncertainties in surface albedo estimates for high-altitude locations. Reducing these uncertainties would require the application of individual correction factors tailored to each site, which could be derived through detailed 3-dimensional modelling specific to the characteristics of each location.
For the spatial distribution of the altitude a.s.l. the digital elevation model GTOPO30 [
25] with a resolution of 30 arc seconds (approximately 920 m × 600 m) is used and the solar elevation is calculated to match the timing of satellite cloud information from the SEVIRI instrument onboard the Meteosat Second Generation (MSG) satellite.
The aforementioned method for operational UV Index map nowcasting was adapted for the retrospective analysis with data from 2022 presented in this manuscript. Instead of CAMS total column ozone predictions, we employed measured total column ozone from NASA’s Ozone Monitoring Instrument (OMI, Total Column Daily L3) [
26] with a resolution of 0.25° (approximately 18 × 28 km for the DACH region) as input to
, as these measured ozone data were also used in the calibration of the ground-based measurements of the Austrian and Swiss stations. Moreover, this reduces the uncertainties associated with forecasted data compared to measured ones. An analysis of both ozone data sets for the site pixels shows, that on average the OMI data are about 4 DU lower than CAMS values where 65% of all data agree within
DU and 93% are within
DU. In rare cases, larger differences of up to 99 DU have been found in the comparison for the year 2022.
2.3. Cloud Modification Factor
To account for cloud cover, a cloud modification factor (CMF) is applied, representing the reduction in transmitted radiation due to cloud reflection. The CMF ranges from 0 to 1, where a value of 0 indicates an overcast scenario (no radiation reaches the surface), and 1 represents clear-sky conditions (no cloud impact). The UV Index for all-sky conditions (
) including clouds is defined as the product of CMF and the clear-sky UV Index (
):
Our approach for computing the for nowcasting UV maps, integrates data from the MSG satellite, the CAMS broadband forecast albedo and a predefined lookup table ().
MSG is the operational geostationary weather satellite of the European meteorological satellite program, equipped with the Spinning Enhanced Visible and Infrared Imager (SEVIRI) instrument. For the
calculation, the visible spectral channel VIS0.6 µm (central wavelength 635 nm, wavelength range 560 nm - 710 nm) is used, which measures the top-of-atmosphere (TOA) radiance. This measurement provides information about the amount of radiation reflected by clouds and surface albedo. The temporal resolution is 15 min for a full disc scan and the spatial resolution is 3 km × 3 km at the sub-satellite point [
27,
28]. Additionally, we obtain the Cloud Mask product from EUMETCast-Europe, which describes the scene (clear-sky or cloud) on a pixel level, with the same resolution [
29].
The satellite data and CAMS albedo data are resampled onto a regular latitude-longitude grid with 0.05° resolution, for the selected DACH region (longitude 5.2°E - 17.2°E, latitude 45.2°N - 55.2°N). For resampling satellite data, the nearest neighbour resampling from the pyresample package within the SatPy library is used [
30], and for CAMS albedo data, the scipy RegularGridInterpolator with linear interpolation is applied [
31]. This process results in a grid of 200 × 240 pixels, with a spatial resolution of approximately 4 km×6 km.
The is determined for each pixel, with the Cloud Mask indicating if a calculation is required. If the Cloud Mask marks a pixel as cloudy, is computed; otherwise, it is set to one, indicating clear-sky conditions.
For the estimation of
for a cloudy pixel, the minimum and maximum TOA radiance at 635 nm (
and
) are derived from the
. The
considers geometrical factors (distance Sun-Earth, solar zenith and azimuth angle, satellite viewing angle) and surface albedo. The
was generated using the libRadtran radiative transfer model (version 2.0.5) [
17,
18] with the DISORT solver [
32], the standard atmosphere afglus (U.S. Standard) [
33], the extraterrestrial spectrum (atlas plus modtran) and the default aerosol model [
34].
The maximum TOA radiance () is then calculated with an albedo of 1, simulating maximum reflectance, which resembles the effect of thick clouds. In this scenario, can be set to 0. The minimum TOA reflectance () corresponds to surface albedo under clear-sky conditions and is calculated using the CAMS broadband forecast albedo. In this clear-sky scenario, can be set to 1.0.
Based on these boundary conditions, a linear interpolation between the two points (
, 1) and (
, 0) is performed (detailed information see
Appendix B). As illustrated in
Figure 2 the measured TOA radiance for the pixel
is then used to compute the
value from the linear fit as:
2.4. UV Index Map Generation
For the generation of the final UV Index maps
, first a clear-sky UV Index map
is generated from the lookup table
using total column ozone data — either measurements from OMI for retrospective analyses or CAMS forecasts for nowcasting — alongside surface albedo and aerosol forecasts from CAMS as inputs. Details about the preprocessing steps of CAMS data necessary to obtain Angstrom
as well as surface albedo estimates valid for the UV wavelength range are discussed in
Section 2.2. Once all input data for
are available, clear-sky UV Index maps can be calculated for the entire day ahead. After receiving MSG SEVIRI images every 15 minutes, the cloud modification factor map (
) is calculated and, by a simple multiplication with
, transformed into the final UV Index map
.
In
Figure 3 an example of the data involved in the determination of the final UV Index map for a summer day at noon (2022-06-24 at 12:00 pm UTC) is depicted. The input data from CAMS forecast albedo (a) is homogeneously low in summer. A cloud formation covering most of the DACH region dominates the MSG VIS0.6 µm channel (b) and the Cloud Mask (c), which leads to reduced
values in the cloud-covered areas (d). The calculated clear-sky map
(e) and the final UV Index map
(f) are displayed following the colour coding for UV Index presentations defined by WHO/WMO [
15]. For the DACH area the UV Index typically reaches levels between 6 and 11 at noon in summer for clear-sky conditions, where the highest values (UVI 11) can be found at high altitudes in the alpine region. The substantial effect of clouds reducing the UV radiation reaching the Earth’s surface can be seen in the final UV Index map
(f).
A second example for winter conditions can be found in
Appendix C, where the increase in surface albedo especially in the alpine region due to snow cover can be seen nicely.
3. Results
Ground-based UV Index measurements of 27 sites in the DACH area are compared to the corresponding satellite-derived UV Index map pixel values. Although satellite-derived and ground-measured UV Index values specify the same physical quantity, their spatial and temporal scopes are different. The satellite-derived map value represents an average over the pixel for a certain point in time. In contrast, ground-based UVI measurements are strongly dependent on the actual cloud situation (especially for broken cloud conditions) and on localized surface albedo and they are often averaged over time. Moreover, nearby obstacles or the horizon (especially in mountainous areas) have an impact on the ground measurements.
For the statistical analyses, the homogenized ground measurements (10 minute averages) from 2022 were temporally interpolated to align with the acquisition schedule of MSG satellite data, which is used to assess cloud cover. The ground-based data is then compared to corresponding values from the satellite-derived UV Index maps () by selecting the pixels that encompass the ground station locations.
The greatest temporally variable influence of all atmospheric parameters on the UV Index is cloud cover. So, for the following analysis the dataset is divided into values measured and calculated under clear-sky conditions and those under cloudy conditions using the filtering method outlined in
Section 2.1.1.
3.1. Comparison of Ground-Based Measurements and Satellite-Derived UV Index Maps for Clear-Sky Conditions
When comparing satellite-derived and ground-measured UV Index data for clear-sky conditions, there can be discrepancies due to the uncertainties in the ground-based measurements (calibration uncertainties) or the radiative transfer model calculations (LUT) used to determine the clear-sky UV Index maps. The latter are strongly dependent on the quality of the model input parameters used and their ability to represent the local conditions influencing the ground-based measurements. Moreover, uncertainties arise from the filtering method used to identify data points corresponding to cloud-free conditions.
For the statistical evaluation shown in
Figure 4, the ratio of measured to calculated UV Index (
) is derived for each point in time and then grouped in solar elevation bands with a width of 10° starting at 20° solar elevation. For each subset the median value (black dot), 25% and 75% percentiles (black) and 5% and 95% percentiles (grey) are depicted.
In general the results of the spectral measurements in Germany (two-letter site acronyms) show the best agreement between measurement and model with almost no dependency on solar elevation. The ratio of most broadband data from Germany (four-letter acronyms) and from Austria and Switzerland (three-letter acronyms) exhibit a solar elevation dependency. Median values are lower for lower solar elevations where data gathered in and around winter dominate the statistics, whereas the agreement is better for higher solar elevations (summer data). This dependency is not apparent in the median values from the northernmost sites TODO and ZIRC, but becomes increasingly pronounced when examining the southern sites. As previously mentioned in
Section 2.1, data from November, December, and January 2022 were excluded from the statistical evaluation of these two sites due to the low solar elevations in winter, which did not meet the 20° cut-off.
To determine whether the observed decrease in the ratio of ground-measured to satellite-derived UV Index values with decreasing solar elevation is related to the broadband measurements, comparisons were conducted. Broadband measurements from DAV and KIR were evaluated against spectrally resolved measurements obtained using a double-monochromator Brewer instrument (MKIII B163) at DAV and a Bentham double-monochromator (DTM300) at KIR. The results demonstrate strong agreement between the broadband and spectrally resolved measurements, with no indication of solar elevation affecting the accuracy of the broadband measurements.
The sites in the South are located predominantly in the alpine region with much more pronounced topography compared to the North. Here, especially in winter, the impact of small-scale snow cover on the ground-based measurements is significant, but can not be taken into account due to the coarse resolution of the CAMS albedo forecast. To eliminate the impact of winter albedo data on the statistics, all data points with a corresponding CAMS broadband surface albedo higher than 0.2 (summer cut-off) were excluded leading to the new statistics presented in
Figure 4 with median, 5% and 95% percentiles in blue. The blue statistics correspond to the same solar elevation bands as the black statistics but are slightly offset to the right in
Figure 4 to enhance clarity.
For the northern stations, CAMS predicts little to no snow cover, except for FIBG, which is situated at a higher altitude (1215 m a.s.l.) compared to most other German sites. For the alpine stations in the South the statistics improve, especially for the high mountain stations SON, WFJ and DAV but not for the high mountain station ZS.
Discrepancies between satellite-derived and ground-measured UV Index arise from uncertainties in the calibration of the ground-based measurements (see
Section 2.1) and from the clear-sky model calculations, with the latter primarily due to uncertainties in input parameters. CAMS albedo and AOD parameters are not only forecasted data but also need to be adapted to better fit for UV Index calculations (see
Section 2.2). Moreover, changing atmospheric conditions for aerosol and ozone during the course of a day are not taken into account, as only one input value per day is used in the calculations. The same applies to surface albedo which can change during a day due to snowfall or snow melt. Therefore, significant discrepancies may occur on individual days, but no systematic effect is anticipated in the data comparison over the course of the year 2022.
To reduce uncertainties in the comparison between ground-measured and satellite-derived UV Index values due to the impact of the horizon on ground-based measurements, data corresponding to solar elevations below 20° are omitted in the analysis. Nevertheless, an uneven horizon reduces the diffuse radiation measured by the detector for all solar elevations. This effect is strongest for low solar elevations as in this regime the proportion of diffuse radiation is higher than for larger solar elevations. The horizon-dependent reduction of the diffuse radiation cannot be detected by satellite imagery leading to discrepancies between ground-based and satellite-derived UV Index values. On top of that, a major issue is the comparison of ground measurements that are sensitive to very local conditions with UV Index maps based on satellite imagery resulting in mean values valid for pixel-sized areas (discussion see
Section 4).
Although the results shown in
Figure 4 are less favourable, particularly for the lower solar elevation bands, the absolute difference between the satellite-derived and ground-measured UV Index is small as can be seen in
Appendix D.
3.2. Comparison of to
Next we discuss cloudiness which has a great impact on ground-based UV Index measurements. While clouds typically reduce solar radiation at the ground, broken cloud formations can sometimes enhance UV radiation at the Earth’s surface due to backscattering [
35,
36]. Such cloud structures can not be adequately represented by
which is a mean value over a pixel with the size of approximately 4 km×6 km. Moreover,
is limited to 1, so enhancements of UV radiation can not be reproduced. For broken cloud conditions and in mountainous areas the cloud situation affecting the ground-based measurements is changing rapidly with time. Such short-time changes can not be captured by satellite data which provides snapshots every 15 minutes.
In
Figure 5 scatter plots of ground-measured cloud modification factors (
/
) to satellite-derived
are shown for all sites and all-sky conditions. The correlation of both quantities is between 0.8 and 0.9 for the lower altitude sites and lower for the high altitude sites ZS (0.68), SON (0.57), WFJ (0.69) and DAV (0.78).
The uncertainties of
arise partly from the calibration uncertainties of the ground-based measurements (see
Section 2.1) and the stability of the measurement devices. Additionally, the limitations of satellite-derived input data (especially albedo) to adequately represent local conditions result in clear-sky UV Index data that capture the conditions at the ground only to a certain extent.
The low representativeness of albedo also affects the
calculation, where erroneously high albedo means that the interval between the minimum (
) and maximum (
) irradiance shrinks, leading to higher uncertainties in the CMF (Equation (
2)). Also, for higher albedo values the method of modelling
with a linear fit becomes less accurate as described in
Appendix B.
Under broken cloud conditions, discrepancies between satellite-derived and ground-based cloud modification factors can become more pronounced. Significant differences arise when gaps in cloud cover allow direct solar radiation to reach the detector, while satellite imagery interprets the scene as a uniform cloud layer, thereby underestimating
. Conversely, small clouds blocking the sun from the detector but being undetected by satellite imagery also lead to increased differences. Due to the pixel averaging small scale or inhomogeneous clouds cannot be resolved by the satellite, leading to poor skill in detection of broken cloud conditions as well [
37]. The discrepancy between the concept of highly localized point measurements and satellite-derived mean values over pixel-sized areas is most pronounced for high-altitude locations with complex, rapidly changing cloud climatology leading to the low correlation found for these sites.
3.3. Comparison of Ground-Based Measurements and Satellite-Derived UV Index Data for all-Sky Conditions
When assessing the concordance between satellite-derived and ground-measured UV Index values across all-sky conditions (both clear and cloudy), the uncertainty is considerably influenced by the climatology of cloudiness. As illustrated in
Appendix A the proportion of measurements with and without cloud cover is about 66% across all sites throughout the year 2022. Most stations are close to this average. Therefore the impact of cloudiness on the statistics for all-sky conditions is very similar for all sites except for FIBG (see discussion later in this section).
In
Figure 6 the median value (black dots), 5% and 95% (grey) and 25% and 75% (black) percentiles of the difference of satellite-derived to ground-measured UV Index (
) evaluated for 10° wide solar elevation bands is depicted for all sites and all-sky conditions.
Naturally, the differences are small for low solar elevations since the UV Index values are also small under these conditions. The differences get higher with higher solar elevations and for most sites the satellite-derived UV Index is overestimating the ground-based measurement as displayed in
Table 3 (mean difference). The most pronounced underestimation is found for ZS, where the satellite-derived values are on average 0.54 UVI (see
Table 3) smaller than the ground measurements for clear-sky conditions. This can be explained by an underestimation of surface albedo by the CAMS model input as discussed in
Section 4.
The interquartile range (25th–75th percentiles) and the 90% range (5th–95th percentiles) increase with the altitude of the site, with the highest ranges for SON (3109 m a.s.l.), but also the results for FIBG, ZS, DAV, WFJ and GER (all situated between 1215 m.a.s.l. and 2660 m a.s.l.) are increased compared to the lower altitude sites.
To analyse the overall performance of the satellite-derived UV Index the mean values of
and the percentage of satellite-derived data within
UVI (U0.5) and within
UVI (U1.0) compared to the ground-based measurement is given in
Table 3 for clear-sky and all-sky conditions. On average the satellite-derived UV Index maps do overestimate the ground-based UV Index by some tenth except for some stations in the North (TODO, LI, SZ, MP, DO) and the high mountain station ZS in the South. In general, the results in
Table 3 deteriorate from North to South for both clear-sky and all-sky conditions with the worst percentages found for the high mountain stations ZS and SON.
For clear-sky conditions more than 95% of data are well within U1.0 for most sites except for some in the South with the minimum percentages found for ZS (86.3%) and SON (85.9%). The percentages drop for U0.5 (clear-sky) and show more spread from North to South with the lowest value for ZS of 59%.
The all-sky statistics are significantly impacted by uncertainties associated with cloudiness affecting the UV Index. The results for U1.0 are about 93% for the northern stations (except for FIBG) and drop to lower values in the South with the lowest values again for ZS (75.7%) and SON (74.8%). Also for U0.5, ZS and SON show the lowest percentages with 51.1% (ZS) and 52.9% (SON) and again the results are better for the more northern stations.
The results of FIBG for all-sky conditions are remarkable. The stations GOER, FIBG and ANDE are close in latitude, so their data cover the same period of the year due to the 20° cut-off in solar elevation. GOER and ANDE are located at low altitudes (238 m and 76 m a.s.l) whereas FIBG is situated at a low mountain range at 1215 m a.s.l.. All three sites show very similar results for the comparison of ground-based to satellite-derived clear-sky UV Index (see
Figure 4) and consequently their results for U0.5 and U1.0 for clear-sky conditions are also close together. However, this is not true for the percentages for all-sky conditions in
Table 3. Here, the results of FIBG are about 10% lower than those from the other two stations. This is due to the greater impact of cloudiness on the statistics of FIBG with 78% cloudy measurements compared to GOER with 69% and ANDE with only 63% of measurements with cloudy conditions. Moreover, the correlation coefficient of
to
is slightly lower for FIBG (0.82) than for ANDE (0.85) and GOER (0.87) adding to the decrease in U0.5 and U1.0 for the FIBG data set.
4. Discussion
For comprehensive and area-wide information on health-relevant UV Index values or erythemal irradiance, satellite-based calculations are indispensable. Satellite data provide the significant advantage of covering extensive areas, enabling the creation of UV Index maps. Depending on the application of the data or the scientific questions to be answered, the averaging of the data over pixel-sized areas can be beneficial. However, this comes with limitations, such as the loss of small-scale variations within the pixel area. Moreover, satellite imagery is capturing data for single points in time (snapshots).
When comparing satellite-derived and ground-measured UV Index for clear-sky conditions, discrepancies can occur for various reasons. There are uncertainties in both datasets, for example in case of ground-based measurements due to calibration uncertainties or stability issues of the detectors between calibrations. The accuracy of the satellite-derived UV Index values, which are mainly determined by radiative transfer model calculations, strongly depends on the quality of the model input parameters used and their ability to represent the local conditions influencing the ground-based measurements. Moreover, uncertainties of the satellite products (SEVIRI visible channel VIS0.6 µm and the Cloud Mask) used for the CMF calculation reduce the accuracy of the satellite-derived UV Index maps for cloudy conditions. As a result, the resolution of satellite data used to calculate UV Index maps becomes a significant factor when comparing satellite-derived and ground-measured UV Index values.
In
Figure 7 map sections for all measurement sites (red dot) with the location and size of the respective pixels used in the UV Index map generation process are depicted. The input data for the clear-sky LUT from CAMS (surface albedo and AOD) have a resolution of 0.4° (approximately 29 km×44 km) (orange). In contrast, OMI total column ozone data offer a finer resolution of 0.25° (approximately 18 km×28 km) (green). Satellite data from MSG are used to calculate the cloud modification factor
with a resolution of 0.05° (approximately 4 km×6 km) (blue).
The topography (grey shading in
Figure 7) becomes increasingly pronounced as latitude decreases. In the North, the stations TODO (5 m a.s.l.) and ZIRC (30 m a.s.l.) which are located in the coastal region of the Baltic Sea, have relatively flat terrain. Southwards, the landscape rises significantly in the alpine region, where the highest station (SON) is located at an altitude of 3106 m a.s.l..
Some measurement sites are situated so closely that they fall within the same pixel: FRHA in Germany and DOR in Austria share the same CAMS pixel (marked with *). Additionally, DAV and WFJ in Switzerland are close enough to share not only the CAMS pixel but also the smaller OMI pixel (marked with **).
Ground-based UV Index measurements are significantly affected by local conditions such as surface albedo and atmospheric conditions like cloudiness. Consequently, modelling UV Index data from satellite imagery to accurately reflect ground-based measurements poses significant challenges, particularly in complex terrain. This process relies on input parameters that accurately represent the local environment, which is not a strong suit of satellite data due to its inherent limitations in capturing small-scale cloudiness and localized features like surface albedo.
Especially the surface albedo needed for the simulation of the alpine stations when parts of the terrain are covered by snow cannot be accurately represented by a mean value over a rather large CAMS pixel size. For example, for the stations IBK and KIR situated in the Inn Valley at much lower altitudes than the average CAMS pixel altitude covering high mountain areas, the surface albedo value is overestimated leading to median values in the ratio of ground-measured to satellite-derived UV Index for clear-sky conditions below 0.9 (see
Figure 4) which is well outside the uncertainty of the detector calibrations (±7%). When omitting the data points corresponding to higher surface albedos (snow cover) the results improve (black versus blue statistics in
Figure 4).
The CAMS pixel corresponding to the high-altitude station ZS encompasses a roughly equal mix of mountainous and lower-altitude regions near the edge of the Alps. This composition leads to an underestimation of surface albedo, which in turn results in low values for
at this station. Consequently, the median ratio of ground-measured to satellite-derived UV Index values shown in
Figure 4 is notably high, around 1.1 for ZS. When omitting the data points corresponding to high CAMS surface albedo values (blue statistics) the underestimation becomes evident because there are no data omitted for higher solar elevation bands (no blue statistics for solar elevations of 50° and higher) suggesting that there is no snow cover outside the winter season. However, this observation is not realistic for the high-altitude station ZS (altitude 2660 m a.s.l.), which is situated in the Alps below the summit of Mount Zugspitze and above a seasonal snowfield. A comparison of the CAMS broadband surface albedo data for ZS and HP (Hohenpeissenberg, located at 977 m a.s.l. in the Alpine foothills to the north-east of ZS) further underscores this discrepancy. Despite the substantial altitude difference, the CAMS data show nearly identical snow-free periods: April 5 to December 10, 2022, for HP and April 10 to November 21, 2022, for ZS. Moreover, unlike to the other high-mountain sites, no improvement is observed in the comparison of black and blue statistics for ZS. This is because a significantly larger number of data points should be classified as winter data, and thus should be excluded for the determination of the blue statistics.
The result for WFJ in
Figure 4 (black and blue statistics) is slightly better than those for DAV, suggesting that the CAMS surface albedo (same CAMS pixel for both sites) is better suited to describe the situation for the station WFJ located at an altitude of 2540 m a.s.l.. As shown in
Figure 7, the CAMS pixel covers high mountain terrain with almost no lower altitude areas and is therefore overestimating the surface albedo for Davos (DAV) located in the valley at 1610 m a.s.l.. Also, the measurement site’s location in the valley results in a horizon that reduces the amount of diffuse radiation reaching the detector. When assuming isotropic radiation, this horizon effect has been quantified for DAV as a 5.4% reduction in diffuse radiation. This reduction is more pronounced at lower solar elevations, where diffuse radiation constitutes a larger proportion of the total radiation compared to higher solar elevations. Since the horizon effect is not accounted for in the calculation of the UV Index maps,
overestimates ground-based measurements across all solar elevations, with the discrepancy being most significant at lower solar elevations (see blue statistics in
Figure 4).
Both effects lead to a mean overestimation of the differences between satellite-derived and ground-based UV Index for clear-sky conditions for DAV of 0.15 UVI compared to WFJ with a slight underestimation of -0.08 UVI (see
Table 3). This shows, that in fact a site-specific adaption (depending on topography) of the CAMS broadband surface albedo to the UV wavelength range (see
Section 2.2) as well as the consideration of the site-specific horizon effect would be necessary to reduce the discrepancies between ground-measured and satellite-derived UV Index values.
When cloudy conditions are included in the analysis, additional uncertainties arise from two main sources: the determination of the cloud modification factor (CMF) through the linear fitting process and the limitations of satellite data (resolution approximately 4 km×6 km) in detecting small-scale clouds. The impact of the latter depends on the cloud situation. For an overcast sky the limitations due to the satellite pixel resolution are less distinct than for broken cloud conditions over less pronounced terrain and become even more impactful when the cloud situation at high altitude sites is considered. Here, the rugged terrain leads to localized cloud dynamics with rapidly changing cloud conditions that cannot be resolved spatially or temporally by satellite imagery. This leads to a significant decrease in the percentages of U0.5 and U1.0 for the all-sky case compared to the clear-sky values for the sites in the Alps, especially for the high mountain stations ZS, SON and WFJ, but also for DAV, GER and FIBG (not in the Alps but on a low mountain range in Germany) and to a lesser extent to all other (low altitude) sites (see
Table 3).
The best agreement between ground-based and satellite-derived UV Index data is observed at the stations MB and SZ, which are both located at low altitudes and in relatively flat terrain. According to the CAMS broadband surface albedo there were hardly any snow events at these two stations in the year 2022. At both sites spectral measurements with low calibration uncertainties (
) are performed and in the comparison between ground-based and satellite-derived UV Index data for clear-sky conditions no dependency on solar elevation is found (see
Figure 4). Also, the correlation between
and
is high with 0.9 at MB and 0.88 at SZ (see
Figure 5) leading to the highest percentages for U0.5 (83.9% for MB and 84.6% for SZ ) and U1.0 (95.7% for MB and 95.5% for SZ) for all-sky conditions (see
Table 3).
5. Conclusions
In this study, the method of nowcasting UV index maps for Europe as used within the Austrian Solar UV Measurement Network is presented. To nowcast the UV Index maps, first clear-sky UV Index maps are retrieved from a pre-calculated lookup table (LUT) of erythemally weighted UV radiation by employing forecasted data of total column ozone, surface albedo and aerosol optical depths from the CAMS global model forecast. To incorporate the effects of clouds in the model, a cloud modification factor map is derived from SEVIRI imagery, which is recorded every 15 minutes onboard the MSG satellites. With this method nowcasted UV Index maps are calculated every 15 minutes and published timely on the website
www.uv-index.at together with ground-based measurements to increase awareness and improve public health measures [
38].
The separation of the UV index into a clear-sky model and the cloud contribution in the form of a modification factor is widely employed [
10,
11,
13,
14,
39,
40], because clouds introduce the highest variability in UV index [
41], whereas the clear-sky UV index can be predicted very well with radiative transfer models if information on total column ozone, aerosol, and surface albedo is available in sufficient quality.
By comparing ground-based measurements of 27 stations in the area of Germany, Austria and Switzerland to the corresponding map pixel values the representativeness of the satellite-derived UV Index maps is assessed. For the comparison, ground-based data from the year 2022 are employed and the satellite-derived UV Index maps are generated in retrospect by using measured total column ozone data from OMI instead of forecasted ozone values from CAMS.
The analysis of the percentages of UVI differences (satellite-derived minus ground-measured UVI) being within
UVI (U0.5) and
UVI (U1.0) (see
Table 3) for clear-sky conditions show a North-South gradient with better agreement for the northern stations. This is attributed to the less complex topography compared to the alpine region in the South. On one hand, UV Index measurements at the Earth’s surface are highly influenced by local factors such as surface albedo and cloudiness. On the other hand, the calculated UV Index maps are derived from satellite imagery, which is constrained by its resolution and cannot capture small-scale conditions accurately. The CAMS surface albedo data average over 29 km×44 km sized pixels and therefore cannot resolve the surface albedo situation in mountainous areas with small-scale snow cover (see
Figure 7).
When considering cloudy conditions the uncertainty of the CMF determination due to the linear fitting as well as the poor skill in detecting small-scale clouds with satellite imagery (4 km×6 km pixel size) is added, leading to lower percentages in U0.5 and U1.0 for all sites compared to the clear-sky case. This effect of cloudiness and especially broken clouds on the statistics is most pronounced for the high mountain stations and decreases with site altitude.
In conclusion, satellite-derived UV Index maps provide area-wide data that enable the deduction of effective protective measures, as recommended by the World Health Organization (WHO, [
15]). These maps complement ground-based measurements effectively, with high accuracy especially for regions with low to moderate altitudes and increased uncertainties for high altitudes. Since ground-based measurements of the UV Index are restricted locally in their validity, the next step is to explore potential synergies between ground-based measurements and satellite-derived maps. The objective is to investigate opportunities for combining ground-based measurements with satellite-derived maps, thereby benefiting from the high accuracy of ground measurements alongside the extensive coverage provided by satellite data. Additionally, integrating data from the Meteosat Third Generation (MTG) satellites, once available, into the CMF calculations is anticipated to reduce uncertainties. This improvement stems from the enhanced spatial and temporal resolution of the MTG satellite imagery, allowing for a more detailed representation of cloudy conditions.
Author Contributions
Conceptualization, B.K., R.G., A.K., V.S., J.S. and S.L.; Data curation, B.K., S.L., J.G., G.H. and R.G.; Formal analysis, B.K. and R.G.; Funding acquisition, A.K.; Investigation, B.K., R.G., V.S. and M.S.; Methodology, B.K., R.G., A.K., V.S. and M.S.; Software, B.K., R.G., V.S. and M.S.; Supervision, A.K.; Validation, B.K., R.G., V.S., M.S., J.S., S.L., J.G., G.H. and A.K.; Visualization, B.K., R.G. and V.S., Writing–original draft preparation, B.K. and R.G.; Writing – review and editing, B.K., R.G., V.S., M.S., J.S., S.L. and A.K.
Funding
The project "Measurement and Analysis of Solar UV Radiation in Austria" (Austrian Solar UV Measurement Network) is supported by a grant from the Federal Ministry for Climate Action, Environment, Energy, Mobility, Innovation and Technology (BMK).
Data Availability Statement
The measurements of the Austrian Solar UV Measurement Network are available on request as of the publishing date. Recent UV index time series and current maps of Europe can be viewed at
www.uv-index.at.
Acknowledgments
The authors thank Mario Blumthaler for valuable discussions and suggestions on all aspects of the study. The authors thank the Meteorological Observatories Lindenberg and Hohenpeissenberg of the German National Meteorological Service (DWD) for providing ground measurements of the stations Lindenberg and Hohenpeissenberg, the Federal Institute for Occupational Safety and Health (BAuA) for providing ground measurements of the station Dortmund and the Leibniz Institute for Tropospheric Research (TROPOS) for providing ground measurements of the station Melpitz. This publication uses Copernicus Atmosphere Monitoring Service Information [2023]; neither the European Commission nor ECMWF is responsible for any use that may be made of the information it contains.
Conflicts of Interest
The authors declare no conflicts of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript; or in the decision to publish the results.
Abbreviations
The following abbreviations are used in this manuscript:
| AOD |
Aerosol Optical Depth |
| CAMS |
Copernicus Atmospheric Monitoring Service |
| CMF |
Cloud Modification Factor |
| DACH |
Germany, Austria and Switzerland |
| LUT |
Lookup Table |
| MSG |
Meteosat Second Generation satellites |
| MTG |
Meteosat Third Generation satellites |
| OMI |
NASA’s Ozone Monitoring Instrument |
| PMOD/WRC |
Physical Meteorological Observatory in Davos / World Radiation Center |
| PTB |
Physikalisch-Technische Bundesanstalt |
| TOA |
Top Of Atmosphere |
| UV |
Ultraviolet |
| UVI |
UV Index |
Appendix A. Proportion of Measurements Taken Under Cloudy Versus Clear-Sky Conditions
Figure A1.
The proportion of measurements representing clear and cloudy conditions for each site (from North to South). The orange line indicates the mean proportion at 66%. The largest portion of cloudy measurements is found at FIBG with 78%, whereas the lowest amount of clouds is found at DOR with 59% closely followed by FRHA with 60%.
Figure A1.
The proportion of measurements representing clear and cloudy conditions for each site (from North to South). The orange line indicates the mean proportion at 66%. The largest portion of cloudy measurements is found at FIBG with 78%, whereas the lowest amount of clouds is found at DOR with 59% closely followed by FRHA with 60%.
Appendix B. Analysis of Linear Fitting in the CMF sat Calculation
The choice of using a linear fitting within the
calculation in this publication is based on simulations using the libRadtran model for various cloud scenarios [
17,
18].
We simulated the TOA radiance at 635 nm, corresponding to the MSG visible channel VIS0.6 µm, alongside the surface-level radiation at 300 nm. The 635 nm wavelength is highly sensitive to the reflectance of clouds and surface albedo, while the 300 nm represents the UV radiation reaching the surface. Below, we analyse the relationship between these two parameters under varying cloud and surface albedo scenarios.
First, we examined the relationship for a homogeneous water cloud layer and varying surface albedo. The cloud layer was defined between 2 km and 3 km altitude, with a droplet radius of 10 µm and a liquid water content (LWC) ranging from 0.0 to 3
. A clear-sky condition is represented by an LWC of zero. The
is then calculated as the ratio of the 300 nm radiance under cloudy conditions to that under clear-sky conditions. Thus, the
is derived as the ratio of the surface radiance at 300 nm for various LWCs to the clear-sky radiance value (LWC equals 0).
Figure A2 a) shows the TOA radiance at 635 nm plotted against the
at the surface for solar zenith angles (SZA) of 30°, 45°, and 60°, with surface albedo ranging from 0.1 to 0.9 (in 0.1 increments). For surface albedos below 0.5, the relation can be approximated as linear.
To further validate, we extended the analysis to various water cloud configurations (
Table A1 (# 1 - 5)) with a fixed surface albedo of 0.1 (see
Figure A2 b)). The results confirm the robustness of the linear relationship across different cloud thicknesses and droplet compositions. This demonstrates that for homogeneous water clouds, regardless of their specific cloud composition, the linear relationship between 635 nm TOA radiance and
remains consistent.
In
Figure A2 c) the same analysis is performed for ice clouds (
Table A1 (# 6 - 8)). Here, the linear relationship is less applicable, whereas a quadratic fit provides a better approximation.
Our analysis indicates that the linear relationship holds well for surface albedos below 0.5, specifically in scenarios involving water clouds. Based on CAMS broadband surface albedo data from 2022, 97% of the broadband surface albedo values for the selected DACH region are below 0.4.
However, in high-albedo environments (high-altitude, snow-covered regions) or in the presence of ice clouds, this model becomes less accurate, and alternative approaches such as a quadratic fit may be considered if cloud-type data is available as demonstrated in e.g. Jesus et al. [
13].
Figure A2.
a) Simulation of a homogenous cloud layer and varying surface albedo between 0.1 and 0.9 in 0.1 steps, for SZAs 30°, 45° and 60°. Linear fits have been added. b) Simulation results of several water clouds (see
Table A1), for the same SZAs and a fixed surface albedo of 0.1. Linear fits have been added. c) Simulation result of several ice clouds (see
Table A1), for the same SZAs and a fixed surface albedo of 0.1. Quadratic fittings have been added.
Figure A2.
a) Simulation of a homogenous cloud layer and varying surface albedo between 0.1 and 0.9 in 0.1 steps, for SZAs 30°, 45° and 60°. Linear fits have been added. b) Simulation results of several water clouds (see
Table A1), for the same SZAs and a fixed surface albedo of 0.1. Linear fits have been added. c) Simulation result of several ice clouds (see
Table A1), for the same SZAs and a fixed surface albedo of 0.1. Quadratic fittings have been added.
Table A1.
Overview of the different cloud scenarios used for the simulations.
Table A1.
Overview of the different cloud scenarios used for the simulations.
| # |
Type |
Altitude |
Thickness |
Droplet Radius |
Liquid / Ice Water Content |
| 1 |
Water Cloud |
1 km |
1 km |
10 µm |
(0 - 3)
|
| 2 |
Water Cloud |
2 km |
1 km |
10 µm |
(0 - 3)
|
| 3 |
Water Cloud |
2 km |
2 km |
10 µm |
(0 - 3)
|
| 4 |
Water Cloud |
2 km |
2 km |
5 µm |
(0 - 3)
|
| 5 |
Water Cloud |
2 km |
2 km |
15 µm |
(0 - 3)
|
| 6 |
Ice Cloud |
9 km |
1 km |
20 µm |
(0 - 4.5)
|
| 7 |
Ice Cloud |
10 km |
1 km |
20 µm |
(0 - 4.5)
|
| 8 |
Ice Cloud |
9 km |
2 km |
20 µm |
(0 - 4.5)
|
Appendix C. UVI Nowcasting Map Example for 2022-03-12
Figure A3.
Example for the UVI nowcasting map, calculated for 2022-03-12 at 12:00 pm (UTC) for the DACH region (longitude 5.2°E - 17.2°E, latitude 45.2°N - 55.2°N). In a) - c) the input data are shown, where a) is the CAMS forecast surface albedo, b) is the MSG VIS0.6 µm channel and c) is the Cloud Mask. The calculated and maps are displayed in sub-figures d) and e), respectively. The final UV Index map considering clouds is shown in f).
Figure A3.
Example for the UVI nowcasting map, calculated for 2022-03-12 at 12:00 pm (UTC) for the DACH region (longitude 5.2°E - 17.2°E, latitude 45.2°N - 55.2°N). In a) - c) the input data are shown, where a) is the CAMS forecast surface albedo, b) is the MSG VIS0.6 µm channel and c) is the Cloud Mask. The calculated and maps are displayed in sub-figures d) and e), respectively. The final UV Index map considering clouds is shown in f).
Appendix D. Differences of Satellite-Derived and Ground-Measured UVI Data for Clear-Sky Conditions
Figure A4.
Median (black dot), 5% and 95% (grey) and 25% and 75% (black) percentiles of the difference of satellite-derived to ground-based UV Index data () evaluated for 10° wide solar elevation bands for all 27 sites (from North to South) and for clear-sky conditions.
Figure A4.
Median (black dot), 5% and 95% (grey) and 25% and 75% (black) percentiles of the difference of satellite-derived to ground-based UV Index data () evaluated for 10° wide solar elevation bands for all 27 sites (from North to South) and for clear-sky conditions.
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