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Article

Mitigating Climate Warming: Mechanisms and Actions

1
Retired, Key Laboratory for Middle Atmosphere and Global Environment Observation (LAGEO), Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
2
National Research Council of Italy, Institute of Polar Sciences (CNR-ISP), Via P. Gobetti 101, 40129 Bologna, Italy
3
TUBITAK Marmara Research Center, Polar Research Institute, Gebze Kocaeli 41470, Türkiye
*
Authors to whom correspondence should be addressed.
Atmosphere 2025, 16(10), 1170; https://doi.org/10.3390/atmos16101170
Submission received: 8 August 2025 / Revised: 1 October 2025 / Accepted: 6 October 2025 / Published: 9 October 2025
(This article belongs to the Section Biosphere/Hydrosphere/Land–Atmosphere Interactions)

Abstract

To validate a positive relationship between air temperature (T) and atmospheric substances (S/G, a ratio of diffuse solar radiation to global solar radiation) found at four typical stations on the Earth, and a further investigation was conducted. Based on the analysis of long-term solar radiation, atmospheric substances, and air temperature at 29 representative stations of baseline surface radiation network (BSRN) in the world, the relationships and the mechanisms between air temperature and atmospheric substances were studied in more detail. A universal non-linear relationship between T and S/G was still found, which supported the previous relationship between T and S/G. This further revealed that a high (or low) air temperature is strongly associated with large (or small) amounts of atmospheric substances. The mechanism is that all kinds of atmospheric substances can keep and accumulate solar energy in the atmosphere and then heat the atmosphere, causing atmospheric warming at the regional and global scales. Therefore, it is suggested to reduce the direct emissions of all kinds of atmospheric substances (in terms gases, liquids and particles, and GLPs) from the natural and anthropogenic sources, and secondary formations produced from atmospheric compositions via chemical and photochemical reactions (CPRs) in the atmosphere, to slow down the regional and global warming through our collective efforts, by all mankind and all nations. Air temperature increased at most BSRN stations and many sites in China, and decreased at a small number of BSRN stations during long time scales, revealing that the mechanisms of air temperature change were very complex and varied with region, atmospheric substances, and the interactions between solar radiation, GLPs, and the land.

1. Introduction

Solar radiation, as the most important energy source for the Earth, controls the changes in atmospheric substances in the form of gases, liquids, and particles (GLPs) and the movements of the atmosphere, as well as climate change. These GLPs come from (1) direct emissions from all kinds of sources, including greenhouse gases (GHGs, CO2, N2O, CH4, etc.), non-GHGs (NO2, SO2, O3, anthropogenic and biogenic volatile organic compounds (AVOCs and BVOCs), aerosols, etc.), (2) and indirect production through chemical and photochemical reactions (CPRs) [1,2,3,4]. Global warming appears in the most representative and vulnerable regions/sites (the Antarctic, Arctic, and Tibetan Plateau, the world’s third pole) and many sites in China during the 20th century and has been reported by the Intergovernmental Panel on Climate Change (IPCC) and many studies [5,6,7,8,9,10,11,12]. Some possible mechanisms are proposed, including solar radiation, astronomical factors, changing oceanographic and atmospheric circulations, regional air–sea-ice feedback, etc. Among them, anthropogenic increases in GHGs are considered a common cause [6,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29]. Are there any other important and basic reasons behind the phenomenon of global warming or climate change? It is still of great importance to further investigate the mechanisms associated with regional and global climates and climate change. Therefore, solar radiation and its transfer (absorption and scattering in the atmosphere and reflections at the top of the atmosphere (TOA) and the surface) and the link between air temperature and atmospheric substances should be fully studied using surface- and satellite-based observations and model estimations.
It has been found that there is a strong positive correlation between air temperature (T) and atmospheric substances (S/G) at four representative sites on the Earth, and the mechanisms related to the complicated processes are discussed and reported in references [13,14,15,16,17,18,19,20,21,22,23,24,25]. The aim of this study is to further investigate this relationship between T and S/G at more typical sites on the Earth using reliable hourly data collected at the Baseline Surface Radiation Network (BSRN), which provides unified high-quality reference measurements of solar radiation with unified standards for routine maintenance and regular calibration [26,27,28]; to explore and validate mechanisms under several atmospheric situations, i.e., (1) different S/G levels (idealized with S/G < 0.5 and 0.6, and all sky (i.e., realistic) conditions with S/G = 0–1.0), and (2) different solar altitudes, corresponding to different levels of (1) atmospheric substances and (2) global solar radiation, respectively. Considering that (1) solar radiation is evidently attenuated by atmospheric GLPs, the large observational errors usually appear at low solar radiations, especially at high GLP loads (e.g., clouds, aerosols, sand storms, precipitation, and air pollutants), and (2) solar radiation measurements are strongly influenced by solar altitudes, i.e., larger cosine errors occur at lower solar altitudes; and finally to propose suggestions to mitigate regional and global climate warming effectively.

2. Data and Methodology

2.1. Data

Solar radiation data (global, direct, and diffuse solar radiation on a horizontal plane, described as G, D, and S (Wm−2), respectively) were obtained from the sites of the BSRN (https://bsrn.awi.de, accessed on 10 October 2024). Meteorological parameters (i.e., air temperature, T, °C) were also obtained from the BSRN stations. The criteria for the data selection were that the time scale was more than 7 years with continuous hourly observations, and 29 stations were selected and used in the analysis [26]. The annual statistics of 29 stations were 17.2 on average, 16 for the median, and 7 and 30 for the minimum and maximum, respectively. As an example, we briefly report the sampling numbers (n) of hourly solar radiation and air temperature data used in the analysis of 29 stations: 7112, 51,040, and 25,275 (minimum, maximum, average, the same hereinafter) for h > 10° and 8469, 54,282, and 27,858 for all h under S/G < 0.5 conditions; 7759, 55,512, 28,931 for h > 10° and 9559, 60,524, 32,570 for all h under S/G < 0.6 conditions; 16,668, 98,768,52,246 for h > 10° and 18,840, 113,445, and 63,032 for all h under all sky conditions (S/G = 0–1.0).
As for the instruments, taking Dome C (75°06′ S, 123°21′ E, 3233 m) in the Antarctic as an example, the observational instruments are introduced briefly. Global solar irradiance and diffuse horizontal irradiance were measured by secondary standard unshadowed and shadowed pyranometers, respectively (model CM22, Kipp & Zonen Inc., Delft, The Netherlands). Direct beam irradiance was measured by a pyrheliometer (CH1, Kipp & Zonen Inc., Delft, and The Netherlands). All radiation sensors should be calibrated every 2 years according to the unified BSRN protocols [27,28]. Meteorological variables, such as air temperature and relative humidity (RH) were obtained from the IPEV/PNRA Project “Routine Meteorological Observation at Station Concordia”—http://www.climantartide.it (accessed on 10 October 2024). The surrounding region of the Dome C site is covered by surface snow, and the air temperature varies from −80 °C to −20 °C. A minimum air temperature of −98 °C has been observed. The atmosphere is cold, dry, clear, and clean [29,30,31,32]. The detailed information for the instruments at other BSRN stations can be seen on the website (https://bsrn.awi.de, accessed on 10 October 2024). The BSRN provides high-quality measurements of downwelling solar and terrestrial radiation (LR001); most stations also measure upwelling components (LR003) in order to define the surface radiation balance.

2.2. Methodology

To fully understand the basic characteristics of solar radiation and air temperature at the selected BSRN stations under all skies (cloudiness ranged from 0 to 1), observed hourly G > 20 W m−2 (avoiding the large cosine error of the sensor at low solar altitudes), and all other corresponding observed data were used to calculate the daily, monthly, and annual values. The extreme hourly values of solar radiation (G, S, and D) and the ratio S/G (dimensionless, diffuse radiation/global radiation, representing atmospheric substances in the whole atmospheric column) > 1.0 were excluded. The data criterion that the observed solar radiation should be in the range of 0–1.2 times the extraterrestrial radiation was used [14]. The selected stations and their main descriptions are shown in Table 1.
To further validate whether this phenomenon was also common at other sites on the Earth and to investigate the possible mechanism of climate warming, more extensive studies on some typical BSRN stations on the northern and southern hemispheres were conducted, as BSRN stations can provide high-quality observational data. Atmospheric substances directly and indirectly influence physical, chemical, and biological processes, and the relationship between T and S/G. Then, S/G values lower than 0.5 and 0.6 (as representatives of relative clear atmosphere, compared to higher S/G values) were used firstly. As the measurement error of observed solar radiation is influenced by solar altitude (h, degree), solar altitudes greater than 5°, 10°, 15°, and 20° were also selected.
For data analysis, hourly values were used to obtain daily averages. Based on the daily averages, the monthly average can be calculated. Finally, annual means were determined from monthly averages.

3. Results

3.1. A Strong Positive Relationship Between T and GLPs Under Relatively Clear Sky Conditions (S/G < 0.5 and S/G < 0.6)

One previous study determined a strong positive relationship between the annual average of air temperature and atmospheric substances (represented by S/G) (T = 66.85 × ln(S/G) + 39.89, R (correlation coefficient) =0.974) at four representative stations on the Earth (two polar sites, one middle-latitude site, and one low-latitude site, namely Sodankylä in the Arctic (67.367 N, 26.630 E, 184 m), Dome C in the Antarctic, Ankara (39°58′21.7′′ N, 32°51′49.3′′ E, 890 m) in Türkiye, and Qianyanzhou (26°44′48′′ N, 115 °04′13′′ E, 110.8 m) in China) [25] under all sky conditions, indicating that an internal interaction/link existed between net energy (kept in the atmospheric substances such as gases, liquids and solids, i.e., the energy at the top of the atmosphere–the corresponding value at the surface) and all kinds of GLP substances in the atmosphere, i.e., more atmospheric substances in the atmosphere will lead to a higher air temperature (or climate warming), and vice versa.
The most representative 26 stations were selected for the analysis, without the consideration of three stations (GOB, ISH, and IZA, representing desert gravel, asphalt, and rock surfaces, respectively) because of their poor, i.e., insufficient, representativeness, and due to not being the main focus of our study; although, these three stations met the above data selection criteria. According to the hourly values at 26 out of 29 BSRN stations, the annual mean values in multiple years of T and S/G were analyzed and their relationships are shown in Figure 1 and Figure 2. The numbers of sampling point (n) hourly values used in the analysis at 26 stations, for two situations of S/G, < 0.5 and <0.6, are given in Table 2 and Table 3. The error analyses were conducted using the equations displayed in Figure 1 and Figure 2 and the partial derivative. The maximum relative bias of T was estimated to be ± 11.3%, according to the relative biases of global and direct solar radiation of 8.0% and 3.3%, respectively [33]. Clear positive relationships were also found between T and S/G for situations where S/G was < 0.5 and <0.6. The higher the solar altitude, the stronger the correlations (R) in the relationship between T and S/G. The correlations between T and S/G at S/G < 0.6 were larger than the corresponding ones at S/G < 0.5 at different solar altitudes, implying that the sample number is an important factor influencing the relationships under relatively clean atmosphere conditions (i.e., S/G < 0.6), and S/G < 0.6 was more representative of relatively clear atmospheric conditions. Therefore, the evident relationships between T and S/G were still found in the most representative BSRN stations, covering some previously representative sites on the Earth. This further confirmed that the atmospheric GLPs are a significant factor in (1) keeping the atmospheric internal energy (via absorbing and scattering global solar radiation) that heats the atmosphere (causing climate warming), and (2) controlling the relationship between T and S/G [25].

3.2. A Relationship Between T and Atmospheric Substances at 29 Sites Under All Skies (S/G = 0–1.0)

To thoroughly investigate the complex relationship between T and S/G at 29 stations under all sky conditions (S/G = 0–1.0)—the three stations (GOB, ISH, and IZA representing special surfaces, i.e., desert gravel, asphalt, and rock, respectively) were taken into consideration separately from the other 26 stations—the hourly mean values over multiple years (7 to 30 years) of T and S/G were also studied. Table 4 reports the sample numbers of hourly and annual values at 29 stations. Their relationships are reported in Figure 3. Compared to the situations S/G < 0.5 and S/G < 0.6, there were no evident correlations for all solar altitudes, and the negative correlations at low h (>5°, >10°, and all) turned to positive correlations at high h (>15° and >20°), indicating the following under all sky conditions: (1) The dominant energy absorbed and scattered by GLPs in the atmosphere was not effectively used to heat the atmosphere because most of it was consumed by high concentrations of GLPs at low altitudes (which appeared, in the morning and evening, to be influenced by anthropogenic emissions) to produce new GLPs through CPRs with each other (e.g., NOx, SO2, AVOCs, BVOCs, O3, H2O, PM (particulate matter), aerosol optical depth (AOD), clouds, OH and excited NO2 (NO2*) radicals, etc.) in the UV (290–400 nm) and visible (VIS, 400–700 nm) regions [15,16,17,18,19,20,21,22,24,25]. (2) Very low positive correlations between T and S/G also existed at high h values (e.g., strong and sufficient global solar radiation (UV, VIS, etc.) was used in CPRs to produce new GLPs, most of which can be used effectively to warm the atmosphere). So, the high GLP loads changed or “hid to some extent” the correlations/links between T and S/G, while the low GLP loads (under a relatively clean atmosphere) are conducive to exhibiting the internal relationship clearly, compared to high GLP loads. (3) The three additional stations also caused/contributed to low correlations for the 29 stations, compared to those for the 26 stations. These three stations were GOB, ISH, and IZA with desert gravel, asphalt, and rock surfaces, and were not suitable as representative sites on the Earth. Therefore, this is a feasible way to explore/capture the internal law of nature by selecting relatively clean atmospheric conditions (i.e., low GLPs, together with high solar radiation and air temperature).

3.3. A Relationship Between T and Atmospheric Substances Under All Skies (S/G = 0–1.0) Using Polynomial Fitting

To thoroughly understand the complicated mechanism between T and S/G, further investigations were conducted using polynomial fitting for the relationship between T and S/G at 29 stations under all skies. The results are shown in Figure 4. The correlations between T and S/G increased with the solar altitude from 5° to 20°, and were larger than the corresponding values in Section 3.2. This reveals that there were two ways in which air temperature changed—air temperature increased with the increase in S/G when S/G < 0.5, and decreased with the increase in S/G when S/G > 0.5, indicating that atmospheric substances play the crucial and controlling roles in air temperature and its change—through the storage of solar energy in the atmosphere and through its usage: (1) most of the solar energy were used to heat the atmosphere at low-S/G conditions, while (2) most of them were consumed by GLPs in CPRs via different ways (discussed in the above sections) and were not fully used to heat the atmosphere at high-S/G conditions. It is evident that the S/G = 0.5 is a turning point/balance point in controlling the relationship between T and S/G from positive to negative. Based on the above, it can be recognized that the air temperature decreases (climate cooling) at some sites and regions, due to the high atmospheric substance content (high S/G); in contrast, air temperature increases at the two polar regions because they have the low atmospheric substance contents with S/Gs of 0.59 and 0.31 for the Sodankylä and Dome C stations, respectively [23]. Furthermore, it is natural and reasonable that the air temperature increases in some regions and decreases in other regions on the Earth.
It should be noted that the relationships (equations) between T and S/G under different S/G conditions describe the mean state of the atmosphere over long time scales, and that there were fluctuations at each site.

3.4. Application of the Relationship Between T and S/G (S/G < 0.6, h > 20°)

The relationship between T and S/G determined using 26 stations at S/G < 0.6 and h > 20° is described as
T = 85.32 × ln(S/G) + 125.73    (R = 0.723, n = 26)
where T is the air temperature and S/G is the ratio of diffuse solar radiation to global solar radiation. This equation was applied to estimate the air temperature. The result is shown in Figure 5. The minimum T of −273.15 ◦C (absolute zero) can be achieved when S/G decreased to 0.009327, which is in good agreement with the 0.009251 value determined using a similar equation at four typical stations (Sodankylä, Dome C, Ankara, and Qianyanzhou) [25]. The air temperature inferred using more representative BSRN stations over multiple years is also in good agreement with the absolute zero in thermodynamics. It represents very low GLP loads and a clean atmosphere, i.e., a highly idealized state on the Earth.
Continuously applying Equation (1), the minimum air temperature can be decreased to −46136.9 ◦C at S/G = 1 × e−542.2, and similar results were also obtained by our previous study at four stations [25]. They implied that there would be an extremely cold atmosphere (or clod surface/source in the universe) at extremely low atmospheric compositions (close to zero, with no power to keep the energy inside), together with the conditions of close to no light (S = 0)). This very strange temperature violates the present law of thermodynamics. In addition, there was no output of T at S/G = 0, indicating that temperature is an important parameter of the atmosphere and matter. A similar relationship to that in Equation (1) was previously obtained at four typical sites (including two polar sites) using good quality observations; e.g., the Qianyanzhou and Sodankylä stations have similar standard deviations of the observed global solar radiation as the Dome C site [24,25]. It should be mentioned that the above sites cover the northern and southern hemispheres. The relationship between T and S/G existed at most typical climate (or latitude) zones, including the Arctic and Antarctic circles, with time scales ranging from 18,840 to 113,445 h for all altitudes under all skies, corresponding to 7–30 years.
Merali (2013) [34] reports that the “Temperature in a gas can reach below absolute zero thanks to a quirk of quantum physics”, and this can be understood as an example and a primary support for the above results and speculations. More explorations and confirmations by different disciplines are necessary in the future.
It should be emphasized that this study investigated the relationships between T and S/G across multiple years under relatively idealized atmospheric states, and discovered the mechanism behind the phenomenon. These relatively idealized atmospheric states can be considered as the idealized average states of the atmosphere at typical BSRN stations.
Based on Equation (1), it is further speculated that there are no limitations for the minimum T for the idealized atmosphere, implying that these situations may be possible somewhere in the universe. This is also based on some similarities described in the origin of the universe (e.g., the big bang) and the movements (e.g., rotation and revolution) of the nine planets in the solar system. The relationship between T and S/G expresses a link between the internal energy and GLPs in the atmosphere, and is further assumed to exist on other planets or elsewhere in the universe. This hypothesis may be considered as a reference point from which to explore the basic features of the universe in the future. The large positive and negative temperatures may reflect the true temperature, and the small mean temperature of the universe.

3.5. Mechanism Analysis of the Relationship Between T and S/G

In nature, air temperature reflects the net internal energy accumulated and stored in the atmosphere. When global solar radiation transfers into the atmosphere, it is absorbed and scattered by GLPs in the atmosphere. Part of this energy is utilized by many GLPs reacting with VOCs and O3 through OH and NO2* radicals, and H2O in the UV and visible regions [3,4,15,16,17,18,19,20,21,22,23,24,25], and the remaining energy can be used to warm the atmosphere. In addition, large amounts of GLPs (GHGs (CO2, CH4, N2O, water vapor, etc.), non-GHGs (thousands of AVOCs and BVOCs, a-dicarbonyl compounds, organic aerosols from the oxidations of BVOCs, etc.) absorb and/or use UV, visible, and near-infrared radiation and warm the atmosphere [3,15,16,17,18,19,20,21,22,23,24,25,35,36,37,38,39,40,41]. More attention should be paid to numerous UV, visible, and near-infrared absorbers (NO2, SO2, O3, VOCs, and their oxidation products; nitrated aromatic gases; nitrated and aromatic aerosols; and fine particulate matter (BC and SOA); etc.) [42,43,44,45,46,47,48], along with their absorption and scattering energy. No matter how the GLPs change in the atmosphere, the available global solar energy is the dominant controlling factor in GLPs’ change and their conversions between their gas, liquid, and particle phases.
An empirical model of global solar radiation (EMGSR, Equation (2)) is developed with reasonable calculations of G at the surface and at the top of the atmosphere (TOA). It can also calculate the absorbing and scattering losses or attenuations caused by atmospheric GLPs, and the reflections at the surface and the TOA [23,24,25,40,41]. The air temperature increase at the Dome C station in the Antarctic during 2006–2016 was mainly caused by the increases in absorbing and scattering losses, well as being associated with the increases in both S/G (representing the scattering GLPs) and water vapor pressure at the ground (representing the absorbing GLPs). This is a robust confirmation of the positive relationship between T and S/G. The important and core mechanism of T and S/G at Dome C is displayed very clearly, which is beneficial as the atmosphere at Dome C is the cleanest and driest on Earth (i.e., the lowest absorbing and scattering GLPs, reflected by E and S/G, respectively). Additionally, the aerosol optical depth (AOD) is also the lowest on Earth. Meanwhile, the air temperature also increased at the Sodankylä (in 2001–2018) [41], Qomolangma (2007–2020), and Ankara province (2017–2019) stations, and the causes of these air temperature increases are changed and different to that at Dome C due to differences in the atmospheric GLPs, the absorbing and scattering losses and their ratios to the total loss, and the reflections (or albedos) at the surface and TOA [30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50]. Therefore, a complex mechanism existed at each site but varied across sites, depending on the GLPs (both absorbing and scattering, and their relative contributions to the total GLPs), and their energy roles (and the distributions of absorption and scattering), along with the interactions between GLPs and G at the TOA, in the atmosphere, and at the surface. This is the key reason to control the air temperature and its change. Based on the integrated results at different sites with different time scales, the basic and similar internal laws and mechanisms associated with the interactions between T and S/G were revealed without the influences of location and time period; i.e., the law represents the basic features of solar radiation and atmospheric substances and their interactions, and is thus independent of place and time.
G c a l = A 1 e kWm × cos ( SZA ) + A 2 e S / G o b s + A 0
where the subscripts cal and obs express the calculated and observed hourly values of global solar exposure (MJ m−2), SZA is the solar zenith angle (degree), and S is the diffuse solar radiation (MJ m−2) on the horizontal plane. The first and second terms on the right side of Equation (2) describe the absorption and scattering of GLPs in the atmosphere, respectively. Coefficients A1 and A2 express the individual G at the TOA associating with the absorption and scattering GLPs, respectively, and A0 expresses the reflection of G at the TOA [23,24,25,40,41]. Additionally, the albedos at the TOA and the surface can be calculated using the coefficients in the empirical model of G (EMGSR).
As an example for using the EMGSR, 1) the calculated absorbing loss (GLA) divided by S/G and then air temperature (GLA/(S/G)/T) is 0.23, 0.29, and 0.08 MJ m−2 °C−1 for the Dome C), Sodankylä, and Qianyanzhou sites, revealing that the atmosphere at the two polar regions has higher stored energy and heat capacity per unit of atmospheric GLPs (S/G) and T than Qianyanzhou (by about three-fold) [40]. 2) The positive correlations are 0.963 between T and G’ +GLA and 0.903 between mean T and G’ for Sodankylä, Qianyanzhou, and Dome C sites, indicating that the available G at the surface also contributes to the increase in air temperature, and the surface type and area are also important factors. Here, G’( = Gcal × (1-albedo at the surface)) is the absorbed global solar radiation at the ground and a potential source of heating energy as longwave radiation that warms the atmosphere.
The following important issues should be emphasized: (1) That there are many absorbers in the UV and visible regions, such as H2O, formaldehyde [51], methyl hydroperoxide (CH3OOH), aldehydes [52], H2O2, and D2O2 vapors [53], nitrated aromatic gases, nitrated and aromatic aerosols and other fine particles, and VOCs and their oxidation products [18,20,21,53,54,55,56,57]. (2) Radicals are produced in the UV and visible regions, such as OH radicals produced from O3 photolysis (O3 + hν(λ < 320 nm)→O(1D) + O2, O(1D) + H2O→2OH) [15,16,17,18]; HO2 radicals produced from HCHO photolysis [51], where excited NO2* reacts with water molecules [19]; and the photolysis of CH3OOH and O3∙H2O clusters [20,58]. Almost all GLPs can react with OH and the above additional radicals, H2O, NO2*, and VOCs in CPRs, and produce new types of GLPs, during which much UV and visible energy is transferred, consumed directly by absorbers and/or indirectly by using the energy from other absorbers, and/or is accumulated in the atmosphere.
In the near-infrared and/or infrared regions, there are many absorbers. Apart from the common GHGs (water vapor, CO2, CH4, and N2O), there are AVOCs and BVOCs (e.g., bromomethyl peroxy radical (CH2BrOO)) [42]; HFC-125 and HFC-143a [59]; HCHO, HCDO, and DCDO [60]; isoprene [61] and acetone [62]; water dimer (H2O2) [63]; and particles (e.g., smoke particles, organic carbon (OC), and black carbon (BC)) [64,65,66]. The isoprene exhibits infrared (IR) absorption [60], extending its roles from the UV and visible regions to the IR region. All of the above VOCs and their oxidized compounds with IR absorption properties made significant CPR connections between the UV, VIS, and IR regions, forming an entire CPRs system.
To summarize the above, some GLPs exhibit absorption in the UV and visible regions, the others without absorption properties can use the energy indirectly via CPRs with OH, HO2, NO2* radicals, H2O, and the substances exhibiting absorption. Namely, almost all GLPs absorb, transfer, and utilize UV, visible, and near-infrared (NIR) energy through different ways/mechanisms (Equation (3)). The most important thing to emphasize is that the OH and NO2* radicals play the key roles in CPRs in a single phase of a gas, liquid, and particle, and their connections/conversions. Additionally, water vapor plays vital roles in the production of OH and NO2* radicals, as well as in IR absorption. The absorbing loss/attenuation of global solar radiation in the atmosphere in the total loss caused by the absorbing GLPs plays a dominant role at some typical regional and global sites, such as in the three polar regions, at a medium latitude (Ankara province), a low-latitude (Qianyanzhou) site (the contributions of absorbing loss to total loss range from 62.0% at Sodankylä to 95.5% at Dome C) [23,24,25,40,41], and in Greece [67] (43 stations, 35.1–41.5° N), revealing that the absorbing GLPs are predominant in the total GLPs and result in dominant absorption loss in the atmosphere as a heating source in the above regions (48 stations), which is the dominant reason why we control the emissions of the main GHGs (CO2, CH4, N2O, etc.). Furthermore, the scattering loss of global solar radiation plays secondary roles and also contributes to energy utilization in the atmosphere–land system. Therefore, the atmospheric compositions obey the basic law during their changes (Equation (3)).
GLPs   ( NOx ,   SO 2 ,   VOCs ,   H 2 O ,   PM )   +   ( OH ,   HO 2 ,   NO 2 * . . . )   radicals   abs . ,   sca . ,   and   use UV ,   VIS ,   IR New   GLPs   ( O 3 ,   PM ,   clouds )
Based on this study and other studies, air temperature increased at most sites, but also decreased at other sites. The reasons and mechanisms are clearly shown at Dome C, and changed and varied across the sites. The key factors controlling the air temperature change are absorbing and scattering GLPs and their contributions to the total GLPs, the loss of G in the atmosphere, reflections of G at the TOA and the surface, and the absorption of G by the ground. The above parameters and their changes play significant roles in the effectively internal energy of the atmosphere (EIEA, the energy that can be used to heat the atmosphere) and air temperature, and the atmospheric GLPs and solar radiation should be studied as a whole.
It should also be mentioned that there are still more unmeasured and simulated chemicals and radicals (e.g., missing simulated OH [68]), the roles of which in the atmosphere were ignored and should be fully considered in model studies (e.g., General Circulation Models (GCMs) [69] and climate change. The energy balance method (EMGSR) provides a tool to understand the dynamic energy roles and connections for all GLPs in their associated physical, chemical, and photochemical processes without considerations of the specific processes, radicals, and chemicals, especially those that remain unknown and/or unmeasured [15,16,17,18,19,20,21,24,25,36,37,38,39,57].
Given the radiation transfer in the atmosphere, combined with its interactions with the absorption and scattering GLPs and the ground (Figure 6, Equations (2) and (3)), it is suggested to reduce the direct emissions of all sorts of GLPs (GHGs, non-GHGs, liquids, and particles), and the secondary production of GLPs via CPRs in the atmosphere. Only in this way can a clearer atmosphere be achieved, can more carbon be stored in plants, and can regional and global climate warming be slowed down [70,71]. Finally, multiple beneficial effects and friendly and suitable environments for the nature–human system will be established in the future by the efforts of all humankind. This recommendation is further supported by using more typical and reliable BSRN station measurements over long time scales (7–30 years) than those in our previous proposed model using four stations [25]. To reduce direct GLP emissions, apart from the regular measures (more stringent emission controls of NOx, SO2, CO, AVOCs, PM, etc.), BVOC emissions should be taken into consideration to a greater extent—especially if an afforestation strategy will be conducted to achieve carbon neutrality in the world [70,71]—as BVOCs are highly reactive and react to OH radicals and most GLPs, and produce new GLPs (O3, SOA, PM2.5, etc.). BVOCs also play significant bridge roles in chemical transformations along with solar energy usage (PAR and UV) among gases, liquids, and solids in the atmosphere, and between the atmosphere and the biosphere [3,15,16,17,18,19,20,21]. Therefore, it is suggested to take action to mitigate their emission, with the main aims being to reduce high BVOC emissions, including (1) by planting trees, grasses, and flowers using low or no isoprene and monoterpene emitters [72,73,74] in big cities and mega-city regions in the future; (2) by cutting the branches of trees and grasses after 16:00 in cities and gardens, and spraying and/or shading the canopies of plants if possible, considering that BVOC emissions are larger at high PAR and temperatures [1,3,73,74]; (3) by reducing biomass burning or adjusting the time period of biomass burning (with after 16:00 suggested), as high BVOC emissions along with O3 production occur during and after burning periods [73,74]. Based on the above actions, the secondary formation of new GLPs through CPRs can be reduced effectively.
It should be noted that (1) O3 and SOA are important secondary GLP products, and O3 and some SOAs are UV and VIS absorbers [3,15,16,17,18,19,20,21]. (2) Water vapor is a critical component and one of the important GHGs and contributes to S/G. It also plays vital roles in (a) OH and NO2* formation through CPRs and new GLP productions (e.g., aerosols, clouds), and (b) the absorption and scattering of solar global radiation [15,16,17,18,19,20]. Additionally, water vapor is strongly associated with air temperature and relative humidity, and water vapor and S/G are usually higher in summer than in winter [3]. (3) In the context of global warming, observations and model studies report that an increase in temperature usually together with an increase in solar radiation (UV, VIS, and NIR) affects changes in air quality, because the chemical reaction rates of reactants and new photochemical reaction products (in gas, liquid, and solid phases, e.g., O3, aerosols, etc.) and BVOC emissions will increase, resulting in severe air pollution, more solar radiation accumulation in the atmosphere, and less solar radiation arriving at the ground [3,15,16,23,24,25,73,74,75,76,77]. (4) The relationship of T and S/G demonstrates an intrinsic link and basic interaction between the internal energy of the atmosphere (EIEA) and atmospheric GLPs in the whole column. It contains many significant aspects: (a) matter, i.e., GLPs, including NOx, SO2, CO, CO2, CH4, N2O, AVOCs, BVOCs, H2O, O3, aerosols (SOA, BC, PM2.5, PM10, and sands in sand storms), clouds, rainfall, snow, and hail; (b) energy, including solar radiation and its transfers and stays (absorbing and scattering losses) in the atmosphere, reflections at the TOA and the surface (i.e., albedos at the TOA and the surface), as well as radiation reaching at the surface. These aspects influence solar energy exchange and balance in the sun–atmosphere–land system. The GLPs affect the albedos at the TOA and the surface through absorption and scattering processes, which are reported in typical sites [23,24,25,40,41]. All of above factors drive and/or influence regional and global climate and climate change via different ways, and vise versa. The multiple interactions between all kinds of GLPs and all sorts of energies occur every day, evolving‌ with time. Tremendous quantities of GLPs exist and change in the atmosphere–land system, playing very sophisticated roles via different physical, chemical, and biological processes; some of them are understood, and the others are still to be investigated or remain unknown [3,15,17,68]. Energy estimations that GLPs utilized/associated with give us a better opportunity to understand their roles effectively without attention being paid to each chemical component and their concentration in measurements and simulations. Their energy roles can be split into absorption, scattering, and reflection, and can be studied from the TOA to the ground as one whole. Therefore, this energy-based method is another way to fully study the sun–GLPs–surface (including land and oceans) system [23,24,25,40,41]. Thus, extensive observations and solar radiation transfer and balance investigations of the interactions between GLPs and the oceans are an urgent necessary, and should be thoroughly studied, as the oceans occupy about 70% of the Earth’s surface.
On the basis of the above discussions, it is feasible and effective to develop and apply EMGSR to thoroughly study global solar radiation and its interactions with GLPs, as well as the reflections at the surface and TOA, together with climate change in the interested regions.
To clearly discover the internal law of nature, it is suggested to select and use relatively clear atmospheric conditions (such as S/G < 0.5 or 0.6) for the analysis. Under these conditions, the internal law of nature was less affected by the influence of high GLP loads together with low solar radiation and its larger observational errors.

4. Discussions

Phenomena of Air Temperature Change at More Sites Under All Sky Conditions

The change rates of air temperature (during day time, same as in the above text), global solar radiation, and S/G, as well as mean S/G, at 29 stations are given in Table 5.
The air temperature increased at 21 stations, corresponding to the increases in G and S/G (station number SN = 7), the increases in G and decrease in S/G (SN = 12), the decrease in G and increase in S/G (SN = 1), and the decreases in G and S/G (SN = 1). The S/G ranged from 0.28 to 0.82, with an average of 0.60 for 21 stations. The air temperature decreased at eight stations, corresponding to the decreases in G and S/G (SN = 3) and the relatively high S/G, generally above 0.5, the decrease in G and increase in S/G (SN = 3), and the increases in G and S/G (SN = 2). There was a very complicated relationship between the air temperature changes and G and S/G, and it was not easy to find a clear correlation, implying that air temperature and its change was not influenced/controlled by some key factors/parameters, but by the energy (i.e., absorbed and scattered global solar radiation) that heats the atmosphere [23,24,25,40,41]. Though most BSRN stations showed air temperature increases with a ratio of 72.4% in all BSRN stations (n = 29), there were some other stations (with a ratio of 27.6%) that displayed decreases in air temperature, indicating that both increases and decreases in air temperature happened in the natural environment. Generally, there were evident relationships between air temperature increases and S/G levels for 21 stations, as well as between air temperature drops and S/G levels for 8 stations, indicating that S/G level is not the only factor influencing air temperature change. There were no clear spatial patterns in air temperature change related to latitude, altitude, and surface type. Meanwhile, energy (lost in the atmosphere, including through absorbing and scattering, and longwave radiation emitted from the ground) is the main and key driving factor warming the atmosphere. This is confirmed by some studies at typical sites on the Earth [23,24,25,40,41]. The above-mentioned energy plays different roles associated with absorbing and scattering GLPs and their changes, and is site-dependent.
Numerous studies have reported that air temperature has increased at a total of 186 stations in China (see Table 6 in reference [25]). Combined with the above observations, air temperature increased at most sites, and also decreased at other sites. Therefore, air temperature change or climate change is a challenging task to fully investigate, and more specific research is needed at every site or region.
We should also pay attention to the geographical and astronomical factors, along with the atmospheric factors affecting solar radiation, and their roles in climate change (e.g., climate warming and/or cooling) [25].
In view of the better development of the economies of all countries, healthy atmospheric environments (i.e., a clean atmosphere) and a suitable climate (i.e., slowing down climate warming), we should consider a balanced way to adjust the above issues and make effective policies.
According to the relationships between T and S/G under different conditions of S/G (<0.5, <0.6, and all) in Section 3.1, Section 3.2 and Section 3.3, we also should consider a suitable extent to which to reduce climate warming, so as to avoid an adverse and extreme event in terms of reducing S/G, because air temperature will be gradually decrease with the decrease in atmospheric substances (anthropogenic emissions and secondary production associated with the development of the economy) at S/G < 0.5, S/G < 0.6, and at other values. There are control points for the warming range to be a suitable temperature range for human beings; a relatively low temperature range or very low temperature ranges are not suitable for human life, depending on the locations with special GLPs (e.g., Figure 1, Figure 2, Figure 3 and Figure 4). There are also constraints when using Equation (1) with S/G < 0.6 and others under different situations (h and S/G). The S/G = 0 is an idealized hypothesis for further exploration of the possibility for a minimum air temperature. There are balances to be struck concerning mitigating climate warming or cooling (site, GLPs, and associated energy dependence), economic and social development, and suitable environments for human beings, animals, and plants, etc. The controllable range will depend on the efforts of the government, all industries, scientific research, and so forth.
One important issue should be emphasized: that a change or a large change in global solar radiation should be considered in climate studies and climate change, because it will lead to the changes in global solar radiation in the atmosphere, at the TOA and the surface over all regions globally, along with atmospheric substances and their internal relationships, i.e., the Earth system. These influencing factors include solar activity, solar constants, the orbit of the Earth and its axial inclination, the Earth’s angular rotation [78,79], etc.

5. Conclusions

On the basis of analyzing the reliable global solar radiation and meteorological variables over long time scales (7 to 30 years with hourly continuous measurements) at 29 BSRN stations on the Earth, a strong non-linear positive relationship between air temperature and atmospheric substances (i.e., T and S/G) existed extensively, which further confirmed the similar relationship previously found at four typical stations on the Earth, revealing that the atmospheric substances (GLPs) keep and accumulate internal energy in the atmosphere via the absorption and scattering of global solar radiation, and absorb longwave radiation from the ground under all sky conditions. Solar radiation interacts with atmospheric compositions, resulting in the different uses and distributions of solar energy in the atmosphere. Most of the above energy is used to heat the atmosphere and leads to regional and global climate warming. The mechanism of the relationship between T and S/G was obtained by analyzing the global and diffuse solar radiation and meteorological variables under relatively idealized atmospheric conditions (i.e., S/G < 0.5 and 0.6). The reliable and long time scale solar radiation and meteorology data, selected from 29 BSRN stations from across the whole Earth, reflect the changes in and the interactions among solar radiation, atmosphere, GLPs, climate change, and the orbit of the Earth in an integrated manner. The method of using an idealized atmospheric state along with corresponding measurements is a better way to deeply investigate the physical and chemical laws in the real atmosphere. Therefore, it is recommended for all humankind and all nations to reduce GLPs from all kinds of sources, including direct emissions from anthropogenic and biogenic emissions, and indirect formations of new GLPs via CPRs. GLPs include all the GHGs (CO2, CH4, N2O, etc.), non-GHGs (AVOCs, BVOCs, etc.), and liquids and particles, because some of them are absorbers in the UV, visible, and infrared regions, and the others indirectly use UV, visible, and infrared radiation when reacting with the UV, VIS, and IR absorbers. In the sun–atmosphere–land system, global solar radiation is absorbed, scattered, transferred, and utilized by all GLPs through different processes and mechanisms. There are two ways in which air temperature changes under natural atmospheric conditions, positive and negative, due to different mechanisms. Air temperature increases were common at most BSRN sites and also at many sites in China. In the meantime, there were some other BSRN stations that showed air temperature decreases. These differences imply very complex mechanisms in air temperature change, depending on the key controlling factors, atmospheric substances (absorbing and scattering, and their relative ratio), the total loss of G in the atmosphere (including the losses of absorption and scattering and their distributions in the total loss), reflections at the TOA and the surface, available longwave radiation, land type and structure, etc. In other words, air temperature change reflects the changes in the internal energy of the atmosphere, and depends on the region. Most current studies focus only on the warming effects of several key GHGs and/or absorbing aerosols (black carbon, SOA, etc.), but this is one aspect of the warming effects caused by absorbing GLPs, and is incomplete in terms of global warming and climate change studies. All kinds of GLPs and their associated energy roles in the atmosphere, as well as in the sun–atmosphere–land system, should be comprehensively studied. More specific studies are still needed for the selected sites and regions of the Earth. Through the continuous efforts of the people and nations, climate warming should be reduced, and a clearer atmospheric environment and better health for human beings should also be achieved. In the future, we should create a friendly and harmonious environment for the people and nature.

Author Contributions

Methodology, investigation, and writing, J.B.; data fusion, review & editing, X.W., A.L., X.Z., and E.A. All authors have read and agreed to the published version of the manuscript.

Funding

This research was supported by the National Natural Science Foundation of China (Grant NO. 42261144751) and Dragon 5 projects (ID 59013).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The 29 BSRN data can be obtained from the BSRN website (https://bsrn.awi.de, accessed on 10 October 2024) or by a request to corresponding authors.

Acknowledgments

The authors thank H.T. Liu from the Institute of Atmospheric Physics, Chinese Academy of Sciences (IAP, CAS), for his help. We thank C. Lanconelli from the European Commission, Joint Research Centre, Ispra (VA) I-21027, Italy: A. Lupi, V. Vitale, and M. Busetto from the National Research Council of Italy, Institute of Polar Sciences (CNR-ISP), Bologna, Italy; A. Driemel from the Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, Germany; L. Rihimaki from the National Oceanic & Atmospheric Administration; K.L. Li and T. Song from Nanjing Zhongkehuaxing Emergency Science and Technology Research Institute, Nanjing, China; the researchers at 29 BSRN stations for data collection and the maintenance of instruments; and A. Heikkilä from the Finnish Meteorological Institute, Climate Research Unit, Helsinki, Finland. The authors extend special thanks to the anonymous reviewers for their beneficial comments.

Conflicts of Interest

The authors declare no conflicts of interest.

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Figure 1. The relationships between annual mean T and S/G for 26 BSRN stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) (S/G < 0.5). The lines are non-linear fittings for T and S/G (described by y and x, respectively).
Figure 1. The relationships between annual mean T and S/G for 26 BSRN stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) (S/G < 0.5). The lines are non-linear fittings for T and S/G (described by y and x, respectively).
Atmosphere 16 01170 g001
Figure 2. The relationships between annual mean T and S/G for 26 BSRN stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) (S/G < 0.6).
Figure 2. The relationships between annual mean T and S/G for 26 BSRN stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) (S/G < 0.6).
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Figure 3. The relationships between annual mean T and S/G for 29 BSRN stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) under all sky conditions (S/G = 0–1.0).
Figure 3. The relationships between annual mean T and S/G for 29 BSRN stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) under all sky conditions (S/G = 0–1.0).
Atmosphere 16 01170 g003
Figure 4. Same as Figure 3, but using polynomial fitting for T and S/G.
Figure 4. Same as Figure 3, but using polynomial fitting for T and S/G.
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Figure 5. The calculated hourly averages of air temperature under all sky conditions using Equation (1) for two situations at S/G = 0.1–1.0 (left) and 0.0–1.0 (right).
Figure 5. The calculated hourly averages of air temperature under all sky conditions using Equation (1) for two situations at S/G = 0.1–1.0 (left) and 0.0–1.0 (right).
Atmosphere 16 01170 g005
Figure 6. Global solar radiation transfers in the atmosphere, reflections at the TOA and the surface, and longwave radiation converted from the received global solar radiation.
Figure 6. Global solar radiation transfers in the atmosphere, reflections at the TOA and the surface, and longwave radiation converted from the received global solar radiation.
Atmosphere 16 01170 g006
Table 1. The 29 BSRN stations and their characteristics.
Table 1. The 29 BSRN stations and their characteristics.
Station Full NameAbbreviationLocationLatitudeLongitudeElevationFirst Dataset in ArchiveSurface TypeTopography TypeRural/UrbanKöppen–Geiger Classification
AlertALECanada, Lincoln Sea82.5−62.412716 August 2004tundrahillyruralET (Polar, tundra)
BarrowBARAK, USA71.3−156.681 January 1995tundraflatruralET (Polar, tundra)
BillingsBILOK, USA36.6−97.53171 June 1993grassflatruralCfa (Temperate, no dry season, hot summer)
BoulderBOUCO, USA40.1−105.015771 January 1992grassflatruralBSk (Arid, steppe, cold)
CabauwCABNetherlands52.04.901 December 2005grassflatruralCfb (Temperate, no dry season, warm summer)
CarpentrasCARFrance44.15.11001 August 1996cultivatedhillyruralCsa (Temperate, dry summer, hot summer)
Chesapeake LightCLHNorth Atlantic Ocean, USA36.9−75.7371 June 2000water, oceanflatruralNaN (NaN)
CenerCNRSpain, Navarra42.8−1.64711 July 2009asphaltmountain valleyurbanCfb (Temperate, no dry season, warm summer)
DarwinDARAustralia−12.4130.9301 June 2002grassflatruralAw (Tropical, savannah)
Concordia Station, Dome CDOMAntarctica−75.1123.332331 January 2006glacier, accumulation areaflatruralEF (Polar, frost)
FukuokaFUAJapan33.6130.431 April 2010asphaltflaturbanCfa (Temperate, no dry season, hot summer)
GobabebGOBNamibia, Namib Desert−23.615.040715 May 2012desert gravel flatruralBWh (Arid, desert, hot)
Georg von NeumayerGVNAntarctic, Dronning Maud Land−70.7−8.3421 January 1992iceshelfflatruralNaN (NaN)
IshigakijimaISHJapan24.3124.25.71 April 2010asphaltflatruralAf (Tropical, rainforest)
IzañaIZASpain, Tenerife28.3−16.52372.91 March 2009rockmountain topruralCsb (Temperate, dry summer, warm summer)
KwajaleinKWAMarshall Islands8.7167.7101 March 1992water, oceanflatruralAf (Tropical, rainforest)
LindenbergLINGermany52.214.11251 September 1994cultivatedhillyruralDfb (Cold, no dry season, warm summer)
Langley Research CenterLRCVA, USA37.1−76.431 December 2014grassflaturbanCfa (Temperate, no dry season, hot summer)
MomoteMANPapua New Guinea−2.1147.461 September 1996grassflatruralAf (Tropical, rainforest)
MinamitorishimaMNMJapan, Minami-Torishima24.3154.07.11 April 2010water (ocean)flatruralNaN (NaN)
Nauru IslandNAUNauru−0.5166.971 November 1998rockflatruralAf (Tropical, rainforest)
Ny-ÅlesundNYANorway, Spitsbergen78.911.9111 August 1992tundramountain valleyruralET (Polar, tundra)
Palaiseau, SIRTA ObservatoryPALFrance48.72.21561 May 2003concreteflaturbanCfb (Temperate, no dry season, warm summer)
PayernePAYSwitzerland46.86.94911 September 1992cultivatedhillyruralDfb (Cold, no dry season, warm summer)
PetrolinaPTRBrazil−9.1−40.33871 December 2006concrete, since 2015: shrubflatruralBSh (Arid, steppe, hot)
SonnblickSONAustria47.113.03108.91 January 2013rockmountain topruralET (Polar, tundra)
South PoleSPOAntarctica−90.0−24.828001 January 1992glacier, accumulation areaflatruralEF (Polar, frost)
SyowaSYOAntarctica−69.039.6291 January 1994sea icehillyruralNaN (NaN)
TatenoTATJapan36.1140.1251 February 1996grassflaturbanCfa (Temperate, no dry season, hot summer)
Table 2. The sampling number (n) for hourly values at 26 stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) (S/G < 0.5).
Table 2. The sampling number (n) for hourly values at 26 stations at different solar altitudes (h > 5°, 10°, 15°, 20°, and all altitudes) (S/G < 0.5).
Station (Abbr.)h > 5°h > 10°h > 15°h > 20°all
ALE81987112543732318469
BAR11,63110,2658451662411,817
BIL53,57451,04047,51143,65354,282
BOU38,29236,12533,85630,39039,446
CAB20,51419,53017,59215,21820,686
CAR52,25149,38345,08240,19353,754
CLH27,93026,71624,93322,84328,621
CNR22,06320,82819,42817,56022,552
DAR30,13729,02327,68026,25130,165
DOM33,29826,62020,57815,36236,139
FUA16,51616,17815,41414,53116,550
GVN30,67525,60020,92916,44433,828
KWA20,39720,22719,69619,27020,442
LIN33,38831,81228,27225,17933,681
LRC16,53415,77914,70613,48816,847
MAN25,13024,59624,31623,01325,233
MNM29,36128,73227,40025,55129,512
NAU30,16029,33828,95727,88830,298
NYA24,52021,16415,34010,55625,024
PAL22,46321,44419,38617,03922,769
PAY43,13241,05938,37934,07743,540
PTR10,80310,4569957924211,065
SON12,32711,2639913809613,154
SPO35,38731,561250,39159,9936,242
SYO30,85626,14921,65517,47233,900
TAT39,22837,13335,22431,73139,641
Table 3. Same as Table 2, but for S/G < 0.6.
Table 3. Same as Table 2, but for S/G < 0.6.
Station (Abbr.)h > 5°h > 10°h > 15°h > 20°all
ALE90607759588534919559
BAR13,65311,6539495745414,105
BIL58,80955,51251,21446,94960,524
BOU42,12339,34136,76632,93044,037
CAB20,51419,53017,59215,21820,686
CAR56,45352,91648,04742,69158,993
CLH30,89129,24727,16824,77332,087
CNR24,87823,28821,62719,45525,740
DAR33,90932,09930,47128,86534,154
DOM34,72427,53521,20915,77638,270
FUA19,83319,16618,07016,95519,987
GVN33,38727,65122,51817,67137,750
KWA23,72123,31922,40521,76323,863
LIN40,01337,55533,11229,38340,871
LRC18,18417,18215,97014,58418,783
MAN29,76628,77628,32526,69630,100
MNM32,80531,68229,89427,67233,306
NAU34,78333,17932,59031,18535,161
NYA27,97523,73017,05611,70629,033
PAL26,73625,23922,68619,86427,548
PAY49,33746,36443,09937,98850,308
PTR12,09111,63211,05210,25612,650
SON13,48712,31310,824886914,473
SPO38,28833,79126,56216,86939,498
SYO33,36128,08323,19718,69537,624
TAT45,29042,61740,17736,13246,207
Table 4. Same as Table 2, but for 29 BSRN stations under all sky conditions (S/G = 0–1.0), and number of years (NY).
Table 4. Same as Table 2, but for 29 BSRN stations under all sky conditions (S/G = 0–1.0), and number of years (NY).
Station (Abbr.)h > 5°h > 10°h > 15°h > 20°AllNY
ALE26,83722,47716,775970129,0969
BAR54,41143,57634,66726,78758,55618
BIL92,44485,90378,08770,72097,49525
BOU66,69860,76455,97549,17970,79118
CAB64,37957,83448,70039,84767,25517
CAR83,28576,73568,46159,76588,69322
CLH51,73447,86343,80639,27954,56215
CNR47,38543,14039,29234,30049,53512
DAR48,64345,30742,50539,34450,66312
DOM40,61631,17823,62917,41346,26015
FUA46,92544,10440,24437,19248,48512
GOB40,62737,88334,78431,90143,85410
GVN96,80776,63760,92247,050100,00029
ISH47,25644,72741,44737,85248,94112
IZA50,36946,25243,11338,55653,97313
KWA40,38837,38934,61333,20541,68217
LIN98,07688,26473,00861,2641E+0526
LRC30,98728,71726,35123,68732,4618
MAN60,52356,08653,98550,15263,41916
MNM48,69945,65342,07838,39351,20412
NAU52,47646,84745,66743,16654,29514
NYA100,00087,20260,69141,3131E+0530
PAL61,41456,33448,86340,41064,50119
PAY100,00098,76888,44973,483100,00029
PTR17,61916,66815,51214,37818,8407
SON37,04233,65029,43724,63839,48810
SPO56,26947,34936,40522,78961,19419
SYO80,10464,26451,12939,79192,18427
TAT54,41143,57634,66726,78758,55626
Table 5. The change rates of air temperature, global solar radiation, and S/G per year (°C/year, W m−2/year, unitless), together with mean S/G, at 29 BSRN stations.
Table 5. The change rates of air temperature, global solar radiation, and S/G per year (°C/year, W m−2/year, unitless), together with mean S/G, at 29 BSRN stations.
Station (Abbr.)TGS/GMean S/G
ALE−0.2332−0.4839−0.00810.73
BAR0.00321.3839−0.00050.82
BIL0.01790.1726−0.00090.52
BOU−0.08360.21690.00320.51
CAB0.04921.4756−0.00360.70
CAR−0.02790.18266E−050.47
CLH0.05641.8210.00110.54
CNR0.04930.58380.00070.58
DAR−0.0044−0.20850.00170.48
DOM0.0050.7969−0.00080.45
FUA0.08892.6255−0.00580.67
GOB0.0697−0.7316−3 × 10−140.29
GVN0.00680.13830.00110.73
ISH0.0661.1379−0.0030.67
IZA0.0249−1.0228−0.00080.28
KWA−0.0092−3.1484−0.00310.53
LIN0.07860.8227−0.00240.69
LRC0.07770.8246−0.00140.54
MAN−0.0077−1.6140.00230.62
MNM0.10830.74370.10830.49
NAU−0.0413−0.7612−0.04130.51
NYA0.05160.19280.00110.79
PAL0.04736.8274−0.02420.73
PAY0.07141.2654−0.00130.64
PTR0.0193−1.05560.00270.49
SON0.03610.2437−0.00620.69
SPO−0.0257−1.59540.00430.48
SYO0.01970.64730.00070.67
TAT0.01520.6856−0.00180.65
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Bai, J.; Wan, X.; Lupi, A.; Zong, X.; Arslan, E. Mitigating Climate Warming: Mechanisms and Actions. Atmosphere 2025, 16, 1170. https://doi.org/10.3390/atmos16101170

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Bai J, Wan X, Lupi A, Zong X, Arslan E. Mitigating Climate Warming: Mechanisms and Actions. Atmosphere. 2025; 16(10):1170. https://doi.org/10.3390/atmos16101170

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Bai, Jianhui, Xiaowei Wan, Angelo Lupi, Xuemei Zong, and Erhan Arslan. 2025. "Mitigating Climate Warming: Mechanisms and Actions" Atmosphere 16, no. 10: 1170. https://doi.org/10.3390/atmos16101170

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Bai, J., Wan, X., Lupi, A., Zong, X., & Arslan, E. (2025). Mitigating Climate Warming: Mechanisms and Actions. Atmosphere, 16(10), 1170. https://doi.org/10.3390/atmos16101170

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