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Spatial–temporal variations of NO2 pollution in Shandong Province based on Sentinel-5P satellite data and influencing factors

  • Siting Zeng , Shijian Zhou EMAIL logo , Fengwei Wang , Yunqi Zhou and Yuan Zhang
Published/Copyright: November 3, 2025
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Abstract

With the rapid development of the social economy, nitrogen dioxide (NO2), a trace gas that is an air pollutant, has dual impacts on human health and climate change. In this study, the Google Earth Engine platform is used to retrieve the vertical column concentration inverted by the Tropospheric Monitoring Instrument (TROPOMI) sensor onboard the Sentinel-5 Precursor satellite, and the characteristics of the spatial–temporal distribution of the tropospheric NO2 column concentration in Shandong Province from 2019 to 2023 are analyzed. The results show that there is a high correlation between the NO2 column concentration retrieved from the TROPOMI and the NO2 concentration observed at ground-level monitoring points in Shandong Province (R = 0.8289). The distribution of the NO2 column concentration in Shandong Province exhibits a progressive structure of “high in the west and low in the east” with significant spatial heterogeneity. In addition, the fluctuation in the NO2 column concentration in Shandong Province has obvious cyclical and seasonal characteristics, and the change rate is “summerflat in spring and autumn, high in winter and low in summer.” The results of the geographical detectors indicate that temperature has the greatest influence on the NO2 column concentration in Shandong Province (q = 0.5). The geographically weighted regression model indicated that the NO2 column concentration was negatively correlated with the topography, temperature, and precipitation, and the correlation coefficients are −0.010, −0.952, and −0.330, respectively. It is positively correlated with the intensity of human activities, the degree of urbanization of the land, and the population density, and the correlation coefficients are 0.1610, 0.982, and 0.001, respectively.

1 Introduction

1.1 Status of atmospheric pollutants in nitrogen dioxide (NO2) and ozone (O3)

With the rapid development of the global socioeconomy, industrialization, and urbanization, air quality is increasingly deteriorating [1]. In 2020, the World Health Organization (WHO) published the “Global Air Quality Guidelines,” which highlighted that the number of deaths caused by air pollution worldwide reached several million, resulting in a significant economic burden. Consequently, the control and improvement of air quality has become an essential component of global environmental governance. To reduce global public health risks, the WHO issued the newly revised “Global Air Quality Guidelines (2021)” (hereinafter referred to as “AQG 2021”) to provide new target references for the atmospheric environmental governance of various countries [2]. In 2023, the WHO demonstrated in the Outcome Report that the implementation of various measures, such as air quality and hygienic control measures, added to the health of people around the globe.

In the study of global air pollutants, the focus is on PM2.5, PM10, O3, NO2, sulfur dioxide (SO2), and carbon monoxide (CO). According to their formation mode, pollutants can be divided into primary pollutants (such as NO2 and SO2) and secondary pollutants (such as particulate matter [PM] and O3). Primary pollutants NO2 and SO2 mainly originate from the combustion of coal, oil, natural gas, and other fuels. They also act as key precursors for PM formation. NO2 is additionally a critical precursor for O3 formation. The spatiotemporal distribution characteristics of NO2 and O3 can directly reflect the spatial differences in pollution sources and the complexity of atmospheric chemical processes.

NO2, a trace gas that is an air pollutant, plays a significant role in the troposphere, contributing to a range of urban environmental pollution problems, including acid rain, smog, and photochemical smog [3,4,5,6]. Furthermore, NO2 can be employed to ascertain regional and global air quality, human health, climate change, and ecological conditions. Atmospheric NO2 pollution can have numerous adverse effects on human health. Even if the exposure level of NO2 is below the regulatory limit, there is still a substantial public health risk [7]. Additionally, air pollution has a relatively close relationship with infectious diseases, such as childhood asthma [8] and respiratory and cardiovascular disease [9]. Whereas O3 is mainly produced by photochemical reactions of NO x with volatile organic compounds (VOCs), O3 and NO2 are closely linked through photochemical cycles. Compounds such as RO2 and HO2 convert NO to NO2 without consuming O3, leading to O3 formation. O3, a secondary photochemical product, is also generated through NO2 photolysis [10]. In 2009, Chang et al. (1951–2000) demonstrated that the increase in O3 radiative forcing in eastern China was closely tied to rising NO x emissions. Rapid industrialization in the region led to higher NO x emissions, which enhanced photochemical O3 production. Anthropogenic emissions (e.g., NO x ) drive O3’s climate effects [11]. Quantifying changes in O3 precursor emissions revealed that stratospheric O3 depletion significantly impacted the stratosphere, despite increases in anthropogenic O3 precursors [12]. Additionally, studies indicate that climate warming-induced vegetation drought stress may weaken terrestrial ecosystems’ ability to absorb O3. This not only exacerbates surface O3 pollution extremes but could also offset the O3 reduction achieved in Europe over the past three decades through stringent emission controls [13]. Such vegetation–climate–pollution interactions underscore new challenges for air quality management under climate change.

In addition, changes in O3 indirectly affect aerosols. O3 influences aerosol concentrations through ecological and hydrological cycles, while aerosol changes can, in turn, alter ozone levels [14]. Aerosols can delay precipitation by interacting with clouds when rainfall or snowfall exceeds climatic norms. They also absorb solar radiation, modifying atmospheric stability and further impacting precipitation development [15]. Extreme precipitation events can alter air pollutant concentrations through humidity and concentration effects [16]. For example, Fan et al. [17] found that the 2013 extreme flooding in the Sichuan Basin likely resulted from aerosol-enhanced conditional instability, which intensified nocturnal convection and precipitation in mountainous areas. The resulting rainfall was more severe than in other regions, prompting calls for stricter air pollutant controls to mitigate future flooding risks. In contrast, prolonged low precipitation and high evapotranspiration reduce soil moisture and groundwater levels, leading to droughts and water scarcity. As one of the most destructive natural disasters, extreme droughts elevate the frequency, intensity, and spatial extent of wildfires [18]. Concurrently, heatwaves – extreme overheating events – directly exacerbate wildfires and increase emissions of VOCs and NO2 [19,20].

From the perspective of spatial distribution characteristics, NO2 concentrations in China exhibit significant heterogeneity. In 2013, Xu et al. analyzed tropospheric NO2 trends from 1996 to 2010 and found distinct spatial disparities, with an overall increasing trend, particularly in economically developed regions like the North China Plain, Yangtze River Delta, Pearl River Delta, and Liaodong Peninsula [21]. Gao et al. studied NO2 variations in the Yangtze River Delta (2005–2013) and observed the lowest concentrations in summer and the highest in winter, followed by autumn and spring. NO2 levels increased continuously in northern Jiangsu and mid-southern Zhejiang but stabilized in southern Jiangsu and Northeastern Zhejiang. Notably, they found that abnormally low temperatures and dry weather significantly elevated NO2 concentrations [22]. In 2019, Wang et al. analyzed the spatiotemporal variation characteristics of NO2 concentrations in the Pearl River Delta region from January to August 2019 and found that the NO2 concentrations across the Pearl River Delta exhibited an overall “concave” pattern, which was associated with urban economic conditions and industrial structures [23]. In the same year, Zhao et al. focused on the North China Plain, revealing concentrated NO2 pollution in Henan, Hebei, and Tianjin (January–August 2019), highlighting the need for sustained attention to industrial city air pollution [24].

At the end of 2019, China implemented emergency measures such as work stoppages and remote working during the early stages of the Coronavirus disease 2019 (COVID-19) pandemic. These measures effectively contained the outbreak but also extended the period of weakened socioeconomic activity by 2–3 weeks, causing short-term suppression of economic activity while significantly reducing air pollutant concentrations [25]. In 2020, Tao et al. used Ozone Monitoring Instrument (OMI) satellite data to analyze changes in NO2 concentrations across China following the resumption of work and production [26]. Later in 2023, Cheng et al. employed the Environmental Trace Gases Monitoring Instrument to study NO2 variations during the pandemic in Europe, Iran, South Korea, and eastern China. They observed a significant decline in average NO2 levels during lockdowns, attributing this primarily to reduced emissions from transportation and industrial activities [27]. During the lockdown period, the decrease in NO2 concentrations was more significant in economically developed and densely populated cities. Provinces with historically high NO2 emissions, such as Jiangsu, Henan, and Shandong provinces, were particularly prominently affected by the pandemic measures [28]. Also in 2023, Wu et al. investigated NO2 spatiotemporal patterns and their socioeconomic linkages in Shanxi Province during the pandemic. They found significantly higher NO2 concentrations in the Guanzhong Plain, Northern Shanxi, and peri-urban areas compared to other regions, while socioeconomic activities were markedly impacted by containment policies. This further confirmed the strong correlation between NO2 fluctuations and human activity [29]. These studies demonstrate that in recent years, tropospheric NO2 and O3 pollution has severely affected developed regions like the Beijing–Tianjin–Hebei cluster, Yangtze River Delta, and Guangdong–Hong Kong–Macao Area, hindering nationwide air quality improvement efforts.

1.2 Air pollution monitoring by satellite remote sensing

With the changes in the needs of global and national environmental governance management, the development and updating of global or local monitoring methods and information is a constant process. Compared with traditional ground monitoring instruments, satellite remote sensing overcomes the limitations of ground measurements and can observe gaseous pollutants for a long time, thereby providing near-real-time measurement products from low to high spatial resolution, which can be applied to investigate the spatiotemporal distribution patterns of pollutants at multiple scales, as well as to infer the inversion of pollutants and the driving mechanisms behind them. Since 1995, the European Space Agency (ESA) has successively launched a series of instruments, including the Global Ozone Monitoring Experiment (GOME), Scanning Imaging Absorption Spectrometer for Atmospheric Cartography (SCIAMACHY), Tropospheric Monitoring Instrument (TROPOMI), the OMI on the Earth Observation System-Aura satellite of the National Aeronautics and Space Administration, and the GOME-2 on Meteorological operational satellite-A and Meteorological operational satellite-B (Metop-A and Metop-B) of the European Meteorological Satellite Organization, all of which can monitor the concentration of NO2 in the atmosphere.

In 2001, Leue et al. [30] proposed a quantitative method for determining global NO2 concentrations based on long time series images from the GOME monitor. In 2015, Van Damme et al. [31] employed the Metop-A instrument to monitor the seasonal pattern and inter-annual changes in NH3 in the atmosphere and found that the distribution of NH4 in various regions of the world exhibits discernible and distinctive cycles. Krotkov et al. [32] utilized OMI to observe changes in global NO2 and SO2 pollution from 2005 to 2015. The observation capabilities of the OMI sensor reflect rapid changes in air quality in different regions. Zhang et al. [33] identified the long-term trend in the NO2 concentration in China from 1997 to 2016 based on the NO2 spectral columns of the GOME, SCIAMACHY, and GOME-2A platforms. In 2017, Chen et al. [34] compared the spatiotemporal changes in the tropospheric NO2 column (TNC) products in China across five satellites, including the GOME, SCIAMACHY, OMI, GOME-2/Metop-B, and GOME-2/Metop-B. Zhang et al. [35] used the “POMINO” inversion algorithm to perform a quantitative comparative analysis of the main OMI satellite products and discussed the impact of POMINO–TROPOMI product updates and other issues.

At present, the TROPOMI mounted on the Sentinel-5P satellite of the ESA is currently the world’s most advanced satellite sensor, which further improves the accuracy and spatial resolution of monitoring and can be used to effectively monitor the global atmosphere. The TROPOMI has a higher signal-to-noise ratio and finer spatial resolution than the OMI, effectively improving the quality and accuracy of the data [36]. Butz et al. [37] proposed an accurate retrieval method based on the monitoring data of the TROPOMI to minimize the error introduced by the scattering of aerosols and cirrus particles as much as possible. Vîrghileanu et al. [38] used the Sentinel-5P satellite to monitor the changes in NO2 pollution in Europe during the outbreak of COVID-19 and performed cross-correlation analysis with ground-based NO2 data, verifying that the Sentinel-5P product can well reflect the dynamics of NO2 pollution in Europe. Moreover, Lorente et al. [39] used the TROPOMI sensor to determine the spatiotemporal distribution characteristics of NO2 emissions in cities and verified the results with an air quality database. Due to the wide distribution of coal-fired power plants in South Africa, Shikwambana et al. [40] reported for the first time the observation results of SO2 and NO2 over South Africa by Sentinel-5P and observed that SO2 and NO2 showed a partial diffusion trend in the South African region in winter, and the opposite in summer. van der Velde et al. [41] distinguished the emission of NO2 and CO from flame combustion and smoldering combustion by monitoring with the TROPOMI to study the spatial and temporal efficiency of fire combustion. In 2022, Bodah et al. [42] analyzed the monitoring data of atmospheric NO2 and CO2 pollutants from Sentinel-5P products, focusing on urban air quality and environmental assessment research. Zheng et al. [43] used the Sentinel-5P product to analyze the spatiotemporal distribution and change characteristics of the tropospheric NO2 concentration in mainland China and then further analyzed the spatiotemporal distribution of the tropospheric NO2 in the Guangdong–Hong Kong–Macao Greater Bay Area of China based on the Google Earth Engine (GEE) cloud platform [44]. In 2022, Liu et al. [45] used the Sentinel-5P product to explore the significant ring structure of the NO2 concentration in China and revealed the importance of urbanization on NO2 emissions.

Shandong Province is a significant agricultural and industrial center in China. Rapid urbanization has intensified regional pollution. China is currently focusing on the prevention and control of air pollution in the Beijing–Tianjin–Hebei region and its surrounding areas. In this context, the country has proposed air pollution control tasks for the “2 + 26” cities [46]. In 2023, China implemented a revised approach to air pollution prevention and control, with a focus on “2 + 36” key cities. This holistic strategy aims to address air pollution challenges in the Beijing–Tianjin–Hebei region, the Yangtze River Delta, and other areas. At present, there are relatively few studies on NO2 pollution monitoring in Shandong Province based on Sentinel-5P remote sensing. It is of great significance and application value to use the high-resolution TROPOMI on Sentinel-5P to monitor the NO2 column concentration in Shandong Province, analyze its spatiotemporal distribution characteristics, explore its potential influencing factors, and provide data to support the government in formulating pollution prevention and reduction policies. Therefore, this article obtained NO2 column concentration data for Shandong Province from January 2019 to December 2023 based on the GEE cloud platform, analyzed the spatial distribution and changes in the NO2 concentration in Shandong Province, and explored the potential influencing factors of NO2 pollutants in Shandong Province. The remainder of this article is organized as follows: the study area, data sources, and processing methods are briefly presented in Section 2, the results and analysis are presented in Section 3, and conclusions are given in Section 4.

2 Materials and methods

2.1 Study area

Shandong Province is located in the lower reaches of the Yellow River in the eastern coastal region of China, with geographic coordinates of 114°48′ to 122°42′ east longitude and 34°23′ to 38°17′ north latitude. It has a temperate monsoon climate, with warm and humid summers and cold and dry winters. The land area is 155,800 km2. Shandong Province is the only province in the country that has 41 major industrial categories within the province, and in 2021, the total industrial value added of Shandong Province ranked third in the country, second only to Guangdong and Jiangsu. Due to various factors, such as high population density and industrial scale development, the air pollution in Shandong Province is not ideal. The administrative division of Shandong Province is the vector data of the provincial, city, and county-level administrative divisions of Tianditu in 2024, with verification number of GS (2024) 0650 and a coordinate system of GCS_WGS_1984 (Figure 1).

Figure 1 
                  Geographical map of Shandong Province. Note: The map is made based on the standard map with the review number GS (2024) 0650, downloaded from the Standard Map Service of the Ministry of Natural Resources.
Figure 1

Geographical map of Shandong Province. Note: The map is made based on the standard map with the review number GS (2024) 0650, downloaded from the Standard Map Service of the Ministry of Natural Resources.

2.2 Data Sources

2.2.1 Sentinel-5P TROPOMI NO2

The Sentinel-5 Precursor is a satellite launched by the ESA on October 13, 2017, for air pollution monitoring. The satellite has improved the spatial resolution and signal-to-noise ratio, with a signal-to-noise ratio increase of a factor of 5, which is sufficient for monitoring various pollutants in the air [47]. The TROPOMI NO2 retrieval of TROPOMI uses the DOMINO method, which was originally developed for the NO2 inversion development method specifically for OMI sensors and applied to the NO2 inversion of multiple sensors (OMI, GOME-2, SCIAMACHY, and GOME) in the QA4ECV project [48]. In 2011, Boersma et al. proposed an improved tropospheric NO2 column retrieval algorithm (DOMINO v2.0), which corrected the across-track stripes problem caused by OMI backscatter reflectivity calibration errors, utilized the improved air mass factor (AMF) calculation, and increased the sensitivity to high-altitude NO2 distribution [49]. The TROPOMI NO2 Level 3 (L3) product of GEE cloud computing platform (COPERNICUS/S5P/OFFL/L3_NO2) utilizes the official L2 product and DOMINO v2.0 algorithm (following OMI’s QA4ECV reprocessing project). The TM5-MP chemical transport model (1° × 1° resolution) was utilized to optimize the AMF calculation. TM5-MP is a TROPOMI auxiliary model specified by the ESA. Its simulated vertical distribution of NO2 is used as an a priori profile required for calculations, converting the satellite-observed inclined column concentration into vertical column density (VCD). At the same time, the high-quality NO2 vertical profile provided by this model can effectively reduce the error of AMF in polluted regions [50]. After the inversion modeling, three-dimensional assimilation and grid data processing were further carried out, the effective pixels are integrated by median aggregation, and the data with quality mark “qa_mean > 0.6” were screened, and finally the tropospheric NO2 VCD and total NO2 column concentration products with 0.1° × 0.1° grid were generated, namely the “COPERNICUS/S5P/OFFL/L3_NO2” dataset.

Compared with L2 products, the gridded data in the L3 products provided by GEE avoids the complicated spatio-temporal matching operation of the original L2 data, and the unified assimilation process based on the TM5-MP model reduces the systematic deviation between regions. In this study, after eliminating pixels with quality assurance values less than 50 in the third-level Sentinel 5p NO2 offline products, a total of 28,725 satellite images covering the VCD of Shandong Province from January 2019 to December 2023 were selected, and 60 NO2 column concentration images of Shandong Province were synthesized monthly.

2.2.2 Surface O3 dataset based on satellite inversion

Zhu et al. [51] trained and validated Chinese, European, and US surface O3 data by using the deep learning algorithm of the Deep Forest v2021.2. 1 (DF21) model based on the LESO system, combining field measurement data from local institutions with multi-satellite data (such as TROPOMI O3 total column taken from near-real-time [NRTI] products and the total number of NO2 columns obtained by OMIs, etc.), providing calculations between surface O3 hourly surface O3 datasets provided by satellite inversion for ten years (2012–2021). This dataset shows excellent performance at 4,821 in situ sites, with strong correlation and slight deviation between predicted values and observed values, and accurately retrieves the spatial and temporal distribution of surface O3 in China, Europe, and the United States. This study uses monthly and annual data of surface O3 in China to further analyze the temporal and spatial distribution characteristics of O3 and its relationship with NO2 in Shandong Province.

2.2.3 Surface NO2 concentration data

China Urban Air Quality Real-time Publishing Platform (https://air.cnemc.cn:18007/) updates the national air quality data of China Ambient Air Quality Monitoring Station daily with a time resolution of 1 h, and the air pollutants monitored in real time are PM2.5, PM10, SO2, NO2, CO, and O3. In this article, according to the scope of China, the observation sites are selected to obtain the daily NO2 concentration change data by using linear interpolation and average value. The air quality NO2 monitoring data of each station in China obtained by processing are used as the monitoring reference data of surface NO2 concentration in China, and the monthly NO2 concentration (µg/m3) of each station in the study area is selected as the NO2 surface monitoring result for subsequent correlation analysis with the NO2 results retrieved by TROPOMI, and the distribution of stations in China.

2.2.4 Impact factor data

To verify the applicability of the NO2 inversion results from the TROPOMI in Shandong Province, air quality monitoring data collected from various stations in Shandong Province via the National Urban Air Quality Real-Time Release Platform were used as reference data for monitoring the ground NO2 concentration in Shandong Province. In this paper, the monthly NO2 concentration (µg/m3) at each station in the study area was selected as the NO2 ground monitoring result for subsequent correlation analysis with the NO2 result inverted by the TROPOMI.

The data pertinent to the analysis of potential influencing factors of NO2 in Shandong Province, as presented in this article, include the following:

  1. Vegetation factors: The Kernel Normalized Difference Vegetation Index (kNDVI) was proposed by Camps-Valls et al. [52] in 2021 on the basis of the traditional NVDI and NIRv indexes. This index can make the best use of spectral information, more accurately measure carbon source dynamics and stabilize atmospheric CO2, alleviate the pressure of global climate change, and show stronger stability and robustness. The kNDVI is calculated using the global surface spectral reflectance provided by the “MOD09GA” product [53], with a spatial resolution of 500 m;

  2. Terrain factors: The global Digital Elevation Model (DEM) dataset is derived from the “SRTM Digital Elevation Data” [54] with a spatial resolution of 30 m;

  3. Meteorological factors: The temperature and precipitation dataset is derived from the “TerraClimate” product [55], which is a global monthly climate and hydrological dataset with high resolution and wide temporal coverage and a spatial resolution of 500 m;

  4. Intensity of human activity: The nighttime light dataset used in this study is derived from the Suomi National Polar-orbiting Partnership/Visible Infrared Imaging Radiometer Suite (NPP/VIIRS) products, produced by the Earth Observation Group at the National Centers for Environmental Information (NCEI), National Oceanic and Atmospheric Administration, with a spatial resolution of 500 m [56].

  5. Spatial distribution of the population: The population dataset is derived from the “LandScan” product of the Oak Ridge National Laboratory of the US Department of Energy (https://www.ornl.gov/), provided by East View Cartographic, with a spatial resolution of 1 km.

  6. Degree of land urbanization: The land urbanization rate (LUR) was calculated using the CNLUCC dataset, which is sourced from the Resource and Environmental Science Data Platform [57], with a spatial resolution of 30 m. The remote sensing image data sources and resampling information are shown in Table 1.

  7. Socioeconomic data: The socioeconomic statistics for Shandong Province (including population, GDP, total number of civilian vehicles, and number of licensed drivers) were obtained from the National Bureau of Statistics database (https://data.stats.gov.cn/) covering the period 2019–2023.

Table 1

List of factor datasets

Factors Spatial resolution
Dataset (layer) Original Resampling
Natural factors Vegetation factors MOD09GA (kNDVI) 500 m 1 km
Topographic factors SRTM DEM 30 m 1 km
Meteorological factors TerraClimate (temperature) 500 m 1 km
TerraClimate (precipitation) 500 m 1 km
Social factors Human activity factors NPP/VIIR (Activity) 500 m 1 km
Population density factors LandScan (population) 1 km Maintain 1 km
Urbanization factors CNLUCC(LUR) 30 m Maintain 30 m

2.3 Processing methods

2.3.1 Linear correlation analysis

Linear correlation analysis is used to measure the linear relationship between two variables, mainly to measure the linear correlation between the two variables. The value range is −1 to 1, where 0 indicates no linear correlation. The calculation formula is as follows:

(1) E x y = i = 1 n ( x i x ¯ ) ( y i y ¯ ) i = 1 n ( x i x ¯ ) 2 i = 1 n ( y i y ¯ ) 2 ,

where x i and y i represent the ground-level NO2 concentration and the tropospheric column NO2 concentration within the study area, respectively, x ¯ and y ¯ represent the mean values, E x y is the correlation coefficient between the two, and n is the number of samples.

2.3.2 Nonlinear normalized vegetation index

The kNDVI is a method that summarizes a wide range of VI series based on the differences and ratios of spectral bands [52]. The specific calculation equation is as follows:

(2) kNDVI = tanh ( ( NIR red / 2 σ ) 2 ) = tanh ( NDVI 2 ) ,

where tanh is the hyperbolic tangent function, NIR represents the near-infrared band reflectance, red denotes the red band reflectance, σ is the scale parameter between the NIR and red bands, indicating the sensitivity of the index to sparse/dense vegetation areas. σ is taken as the average distance between the NIR and red reflectance of all relevant pixels.

2.3.3 Urbanization index of land

The ratio of urban land and other construction land in the China Land Use Remote Sensing Monitoring Dataset (CNLUCC) to the total scale of urban and rural construction land is calculated to construct the urbanization rate of land [58]. The calculation formula is as follows:

(3) LUR = u l + i l u l + i l + r l ,

where u l represents the scale of urban land use, i l represents the scale of other construction land use, and r l represents the scale of rural residential land use.

2.3.4 The geographical detector

A geographical detector is a statistical method used to explore and utilize spatial heterogeneity and to interpret the driving forces behind it. It can determine whether there is an interaction between two numerical or qualitative factors, thereby judging the influence of the factors on the dependent variable [59]. The calculation equation for single-factor detection is as follows:

(4) q = = 1 SSW / SST = 1 h = 1 L N h σ h 2 / N σ h 2 ,

where h = 1 , 2 , , L represents the number of categories or partitions of the factor; N h and N represent the number of samples in region h and the total number of units in the whole region, respectively; σ h 2 and σ 2 represent the variance of region h and the whole region, respectively; SSW and SST represent the sum of the within-group variances and the total variance of the whole region, respectively; and the value range of q is [0, 1].

Interaction Detection: To detect whether the explanatory power of two factors on the NO2 column concentration will change due to the interaction between the two factors, the explanatory power of the two factors on the NO2 column concentration, q ( x 1 ) and q ( x 2 ) , is computed, with the q ( x 1 x 2 ) value obtained by combining and analyzing the two factors. The interactions can be divided into five situations, as shown in Table 2.

Table 2

Types of interactions

Description Interaction
q ( x 1 x 2 ) < Min [ q ( x 1 ) , q ( x 2 ) ] Weakened, nonlinear
Min [ q ( x 1 ) , q ( x 2 ) ] < q ( x 1 x 2 ) < Max [ q ( x 1 ) , q ( x 2 ) ] Weakened, unique
q ( x 1 x 2 ) < Max [ q ( x 1 ) , q ( x 2 ) ] < q ( x 1 ) + q ( x 2 ) Enhanced, bilinear
q ( x 1 x 2 ) = q ( x 1 ) + q ( x 2 ) Independent
q ( x 1 x 2 ) > q ( x 1 ) + q ( x 2 ) Enhanced, nonlinear

2.3.5 Geographically weighted regression based on ordinary least squares (OLS)

OLS is employed to analyze the interrelationship between the explanatory variable and the dependent variable, with the objective of minimizing the sum of the squared residuals of all observations [44]. The equation is as follows:

(5) y i = β 0 + k β k x i k + ε i ,

where y i represents the NO2 column concentration for the corresponding grid i ; β 0 is a constant term; β k is the regression coefficient of the influence factor k ; x i k is the value of the influence factor k at location i ; and ε i is the random error term.

Geographically weighted regression (GWR) is a local statistical analysis method that accurately depicts the geographical spatial relationships of a research object by exploring spatial changes in the research object [60]. The calculation equation is as follows:

(6) y i = β 0 ( u i , v i ) + k β k ( u i , v i ) x i k + ε i ,

where y i represents the NO2 column concentration value for the corresponding grid i ; ( u i , v i ) is the spatial coordinate of grid i ; β 0 ( u i , v i ) is the constant term at the ( u i , v i ) coordinate; β k ( u i , v i ) is the value of the influence factor k at location ( u i , v i ) ; x i k is the value of the influence factor k at location i ; and ε i is the random error term.

3 Results and analysis

3.1 Comparison of Sentinel-5P inversion results with ground monitoring values

Current experimental studies demonstrate strong correlations between tropospheric NO2 column concentrations derived from satellite remote sensing (e.g., OMI and Sentinel-5P) and ground-level NO2 measurements. Judd et al. validated this relationship using airborne spectrometer measurements of NO2 columns, which showed good agreement with TROPOMI observations. Although TROPOMI sensors, while subject to prior surface reflectance and cloud pressure inversion errors in some urban scenarios, still offer unique advantages for validating TROPOMI in regions with large variations in NO2 concentration quantities, they can also be used in urban areas with high NO2 concentrations, and the inversion results can reach a high correlation with the ground measurement data [61]. At the same time, the accuracy of the TROPOMI inversion data can be verified by traditional ground detection equipment or by analyzing the correlation between the NO2 ground monitoring concentration released by the “China Urban Air Quality Monthly Report” and the TROPOMI inversion results [62].

This study selected the NO2 hourly concentration data series from 65 air quality monitoring stations in Shandong Province. After preprocessing, such as linear interpolation and adjacent averaging of the hourly NO2 concentration, we obtained the ground monthly NO2 concentration (µg/m3) data for Shandong Province. At the same time, we extracted the TROPOMI NO2 column concentration (mol/m2) at the corresponding geographical location and conducted a correlation analysis with the NO2 ground monitoring data. The specific results are presented in Figure 2. The results show that there is a good linear correlation between the ground NO2 concentration in Shandong Province and the NO2 column concentration in the troposphere ( R = 0.8289 ) , which is significant. This indicates that the NO2 column concentration of Sentinel-5P can stably reflect the ground NO2 concentration monitoring value.

Figure 2 
                  Correlation between site-based NO2 concentrations and tropospheric NO2 concentrations in Shandong Province.
Figure 2

Correlation between site-based NO2 concentrations and tropospheric NO2 concentrations in Shandong Province.

3.2 Column concentration of NO2 and O3 in Shandong Province

3.2.1 Temporal variation of the NO2 column concentration

During the 60-month period from 2019 to 2023, the overall NO2 column concentration in Shandong Province exhibited fluctuations, with pronounced seasonal variations and periodic fluctuations. The monthly average NO2 column concentration during the research period is presented in Figure 3(a). The maximum NO2 column concentration in Shandong Province was observed in December 2020, reaching 37.37 × 10−5 mol/m2. Conversely, the minimum value was observed in August 2020, with a concentration of 4.53 × 10−5 mol/m2. The NO2 column concentration in Shandong Province exhibited a relatively stable pattern from April to September, with a low level throughout the year. From September to November, the NO2 column concentration maintained a stable upward trend. The annual NO2 column concentration peaked in December and January. Starting in February, the NO2 column concentration gradually returned to the low value observed in April.

Figure 3 
                     (a) Monthly variation characteristics of the NO2 concentration in Shandong Province from 2019 to 2023. (b) Monthly variation characteristics of 2023 NO2 concentration and temperature from 2019 to 2023.
Figure 3

(a) Monthly variation characteristics of the NO2 concentration in Shandong Province from 2019 to 2023. (b) Monthly variation characteristics of 2023 NO2 concentration and temperature from 2019 to 2023.

The NO2 column concentration exhibited seasonal fluctuations, indicating a correlation between the NO2 concentration and temperature changes. This article further examined the NO2 concentration and monthly average temperature from 2019 to 2023, as illustrated in Figure 3(b). The results indicated a strong negative correlation between the two variables. Shandong Province is situated within the temperate monsoon climate zone, with simultaneous rain and heat. The climate is characterized by warm and humid conditions during the summer months and cold and dry conditions during the winter. When the temperature decreases, solar radiation diminishes, the rate of photochemical reactions decreases, and the residence time of NO2 in the troposphere increases, resulting in elevated NO2 concentrations. When the temperature increases, accompanied by increased rainfall [63], the concentration of NO2 decreases [64]. Consequently, fluctuations in temperature are among the factors influencing the seasonal variations in NO2 concentrations.

3.2.2 The spatial distribution of the NO2 column concentration

According to statistics on the annual spatial distribution of NO2 concentration in Shandong Province from 2019 to 2023, it can be seen from Figure 4 that NO2 air pollutants in Shandong Province are mainly distributed in the north-central and western regions of the province. In comparison with earlier years, the spatial distribution of NO2 in 2021 underwent significant modifications, as evidenced by the considerable enlargement of high-concentration areas in the north-central and western regions and the emergence of a clear diffusion trend. During 2019–2023, NO2 concentration aggregation centers appeared in Zibo City–Jinan City–Binzhou City, and the NO2 concentration in Linyi City was relatively low, but there was always a relatively high concentration in the central area of Linyi City from 2019 to 2020, which is related to the local industrial structure and emissions. As the capital city of Shandong Province, Jinan has a large population and affects the local industrial structure. According to statistics, the highest concentration of NO2 in Shandong Province appears in Binzhou City and spreads to the surroundings from this area as the center and gradually decreases, thus forming the NO2 gathering center of Zibo City–Jinan City–Binzhou City. It can be seen from Figure 4 that the eastern coastal areas of Shandong Province, such as Weihai, Yantai, and Qingdao, have humid air and low NO2 pollution levels. Affected by the industrial structure of non-heavy industries such as vigorous tourism and high level of foreign trade, the air environment is in good condition. It is worth noting that NO2 pollution in Qingdao shows a trend of gradually decreasing from the coast to the inland.

Figure 4 
                     Spatial distribution of the NO2 column concentration in Shandong Province in (a) 2019, (b) 2020, (c) 2021, (d) 2022, and (e) 2023.
Figure 4

Spatial distribution of the NO2 column concentration in Shandong Province in (a) 2019, (b) 2020, (c) 2021, (d) 2022, and (e) 2023.

By counting the area proportion of different concentrations of tropospheric NO2 in Shandong Province, as shown in Figure 5, in 2021, the proportion of high-concentration areas with average tropospheric NO2 levels of 15–25 × 10−5 mol/m2 increased by 21%, corresponding to an expansion of 31867.60 km2 in polluted area. On the contrary, the proportion of areas with a concentration of 10–15 × 10−5 mol/m2 in the same year decreased by 17% year-on-year, and the proportion of areas with a concentration of 12–15 × 10−5 mol/m2 reached the lowest, which shows that in 2021, the overall average level of NO2 pollution in Shandong Province increased, and the impact of air pollution continued to deepen. In 2023, the area of high-concentration areas with an average tropospheric NO2 concentration of 15–25 × 10−5 mol/m2 will be reduced to 5% of the total area, while the areas with a concentration of 12–15 × 10−5 mol/m2 in the same year will remain at the average level of previous years, the proportion of areas with medium and low pollution levels with a concentration of 5–12 × 10−5 mol/m2 has increased slightly. It can be seen from this that the prevention and control of NO2 pollution in Shandong Province has achieved certain results in 2023. The degree of high NO2 pollution has decreased, and the overall pollution level has been controlled to a certain extent.

Figure 5 
                     Fluctuation characteristics of the NO2 concentration classification structure from 2019 to 2023.
Figure 5

Fluctuation characteristics of the NO2 concentration classification structure from 2019 to 2023.

This article presents the spatial distribution of the annual average NO2 column concentration. The distribution of the average NO2 concentration from January 2019 to December 2023 is shown in Figure 6(a). In general, the distribution of the tropospheric NO2 column concentration in Shandong Province exhibits a “high in the west and low in the east” pattern, with the concentration in the western region typically higher, mostly ranging from 12 to 15 × 10−5 mol/m2. The areas with lower NO2 column concentrations are primarily located in the eastern region. From the city perspective, the areas with high NO2 column concentrations are mainly concentrated in Jinan, Zibo, Binzhou, Weifang, and Dongying, where the NO2 column concentration is most widely distributed between 15 and 25 × 10−5 mol/m2. Cities with lower NO2 column concentrations are located in the eastern region of Shandong Province, with concentrations primarily observed in Yantai and Weihai.

Figure 6 
                     (a) Spatial distribution and (b) hierarchical structure of the NO2 column concentration in Shandong Province from 2019 to 2023.
Figure 6

(a) Spatial distribution and (b) hierarchical structure of the NO2 column concentration in Shandong Province from 2019 to 2023.

The spatial differences in the NO2 concentration in Shandong Province from 2019 to 2023 can be divided into four levels, as shown in Figure 6(b). These levels are defined as follows: low NO2 column concentration (5 × 10−5 to 10 × 10−5 mol/m2), relatively low NO2 column concentration (10 × 10−5 to 12 × 10−5 mol/m2), medium NO2 column concentration (12 × 10−5 to 15 × 10−5 mol/m2), and high NO2 column concentration (15 × 10−5 to 25 × 10−5 mol/m2). The overall distribution structure of the NO2 column concentration levels in Shandong Province presents a progressive structure. High NO2 column concentrations are mainly distributed in the central and northern parts of Shandong Province, the center of Linyi City, and the coastal area of Qingdao City, with an area of approximately 16471.81 km2, accounting for approximately 10.58% of the total area of Shandong Province. The medium concentration area is primarily situated in the western region of Shandong Province, encompassing an area of approximately 72619.39 km2, accounting for approximately 46.63% of the total area of Shandong Province. The low-concentration area covers an area of approximately 42059.95 km2 and is primarily located in the central, northern, and southwestern parts of Shandong Province. The low-concentration area is primarily situated in the eastern region of Shandong Province, encompassing Weihai, Yantai, and some regions of Qingdao.

3.2.3 Spatiotemporal evolution of O3 column concentration and its synergistic distribution mechanism with NO2

The hourly surface O3 dataset retrieved by satellite [51] was used to visualize the O3 concentration in Shandong Province and analyze its variation law. The monthly, seasonal, and annual mean values of the inverted O3 concentration images were calculated, and the monthly, seasonal, and annual changes of O3 concentration in Shandong Province from 2012 to 2021 were obtained (Figure 7). In terms of interannual temporal changes, the average annual concentration of O3 in Shandong Province has reached 58.92 µg/m3 in recent ten years, with little overall change. Since 2012, the overall concentration of O3 in Shandong Province has gradually increased, and the average monthly concentration of O3 reached the highest value in July 2018, reaching 92.21 µg/m3. There is a slow downward trend afterwards, which may be related to the coordinated control measures of fine PM and O3 implemented by the Chinese government and the continued impact of COVID-19 on China.

Figure 7 
                     (a) Interannual and (b) monthly variation of O3 concentration in Shandong Province.
Figure 7

(a) Interannual and (b) monthly variation of O3 concentration in Shandong Province.

From the perspective of seasonal changes, the seasonal changes of surface O3 concentration in Shandong from 2012 to 2021 are the highest in summer, followed by autumn and spring, and the lowest in winter, which is contrary to the seasonal trend of high NO2 concentration in summer and winter and low in spring and autumn. From 2012 to 2019, the surface O3 concentration in Shandong Province maintained a slow growth trend in spring, summer, and autumn, with the most prominent change in the surface O3 concentration in summer and generally higher than the O3 concentration in other quarters. The O3 concentration in spring, summer, and autumn began to show a downward trend in 2020, while the O3 concentration in winter maintained a continuous downward trend in 2017 (Figure 8).

Figure 8 
                     (a) Quarterly overall change and (b) annual change of surface O3 concentration in Shandong Province.
Figure 8

(a) Quarterly overall change and (b) annual change of surface O3 concentration in Shandong Province.

In order to conduct a matching analysis with the tropospheric NO2 concentration in Shandong Province, this article selects the O3 concentration data of Shandong Province from 2019 to 2021. Its spatial distribution is shown in Figure 9, showing obvious regional differences. The high-value areas of ozone concentration are mainly concentrated in Dezhou and Liaocheng in the west, Qingdao and Yantai in the east, and the ozone concentration in the central and southern parts of Shandong is relatively low.

Figure 9 
                     Spatial distribution of the O3 concentration in Shandong Province from (a) 2019, (b) 2020, and (c) 2021.
Figure 9

Spatial distribution of the O3 concentration in Shandong Province from (a) 2019, (b) 2020, and (c) 2021.

In order to more clearly reflect the spatial synergistic distribution characteristics of tropospheric O3 and NO2 concentrations in Shandong Province, combined with the satellite data of the two pollutants, the bivariate coloring method was used to explore the interaction mechanism and regional pollution patterns of the two pollutants. From 2019 to 2021, the high O3 concentration area in northwestern Shandong was mainly rose red as a whole, as shown in Figure 10. This area was highly affected by O3, and photochemical reactions dominated O3 accumulation.

Figure 10 
                     Spatial synergistic distribution and interaction mechanism of tropospheric O3–NO2 in Shandong Province.
Figure 10

Spatial synergistic distribution and interaction mechanism of tropospheric O3–NO2 in Shandong Province.

3.3 Annual analysis of the factors influencing the NO2 column concentration based on the geographic detector

This article employs a geographic detector to investigate the influence of six factors on the annual spatial differentiation of NO2 in Shandong Province from 2019 to 2023. The results of the single factor detection are presented in Table 3. The effect of temperature on NO2 is greater than that of other factors (q = 0.5). The order of the key driving factors affecting the spatial differentiation of NO2 was as follows: temperature > precipitation > population > Activity > DEM > kNDVI.

Table 3

Detection statistics of detection factors from 2019 to 2023

Indicator 2019 2020 2021 2022 2023
q p q p q p q p q p
kNDVI 0.02 0.00 0.05 0.00 0.05 0.00 0.07 0.00 0.08 0.00
DEM 0.01 0.12 0.09 0.00 0.10 0.00 0.12 0.00 0.13 0.00
Temperature 0.48 0.00 0.49 0.00 0.47 0.00 0.49 0.00 0.57 0.00
Precipitation 0.20 0.00 0.09 0.00 0.14 0.00 0.31 0.00 0.17 0.00
Activity 0.15 0.00 0.13 0.00 0.18 0.000 0.16 0.00 0.12 0.00
Population 0.14 0.00 0.14 0.00 0.20 0.000 0.17 0.00

The interaction effect of two factors on the spatial differentiation of NO2 in Shandong Province was generally greater than that of a single factor. The results of the interaction are all double-factor enhancement or nonlinear enhancement. In addition, the interaction of the annual temperature factor with other factors is considerably more pronounced than the interaction between other influencing factors, as illustrated in Figure 11.

Figure 11 
                  Interaction diagram of impact factors in (a) 2019, (b) 2020, (c) 2021, (d) 2022, and (e) 2023.
Figure 11

Interaction diagram of impact factors in (a) 2019, (b) 2020, (c) 2021, (d) 2022, and (e) 2023.

3.4 Analysis of NO2 column concentration influencing factors based on ordinary least squares – geographically weighted regression

To study the impact of various factors on the NO2 concentration at its highest during this period, this article selects the average NO2 concentration in November and December each year as the maximum concentration of NO2 for that year. The column concentration of NO2 in Shandong Province from 2019 to 2023 was then obtained after averaging. Similarly, the average precipitation and average temperature are obtained. This article constructs 1,674 10 km × 10 km grids within the scope of Shandong Province. The “urban and rural, industrial and mining, residential land” patches were then extracted from the multiperiod land use remote sensing monitoring dataset of China in 2020. Finally, the urbanization rate of land within the grid is calculated as the LUR factor. Subsequently, the NO2 column concentration of each grid is combined with the average of each factor to construct the OLS-GWR model for the seven factors using ArcGIS and GWmodels [65,66] for each grid unit.

OLS is employed for modeling, and the results are presented in Table 4. The regression model passed the Koenker (BP) test, with a p value significant at the 1% level. This indicates that the model has statistically significant and nonstationary characteristics. Concurrently, the six variables that demonstrated statistical significance in the significance test are the DEM, temperature, precipitation, population, Activity, and LUR. Conversely, the kNDVI variable did not pass the significance test, indicating that it is not statistically significant. The DEM, temperature, and precipitation are negatively correlated with the NO2 concentration. Areas with lower altitudes, temperatures, and precipitation tend to have higher NO2 concentrations. The population, Activity, and LUR, which are positively correlated with the NO2 concentration, have coefficients of 0.001, 0.161, and 0.982, respectively. A clear linear relationship exists between the intensity of nighttime light and energy consumption. Nighttime light can reflect the actual situation of temporal and spatial changes in energy consumption in the study area [67]. Existing studies have confirmed that the amount of coal burned per unit area and population density have a very wide impact on the NO2 column concentration [68].

Table 4

Regression parameters and results of the OLS model

Variable Intercept Standard error p Value VIF
Intercept 34.729 0.620 0.000*
kNDVI −0.357 1.685 0.832 1.697
DEM −0.010 0.001 0.000* 1.289
Temperature −0.952 0.113 0.000* 1.566
Precipitation −0.330 0.026 0.000* 1.578
Population 0.001 0.000 0.000* 1.918
Activity 0.161 0.026 0.000* 2.404
LUR 0.982 0.351 0.005* 1.777
AICc: 8492.1
Coefficient of determination R 2: 0.390 Adjusted coefficient of determination Adj.R 2: 0.388
Koenker (BP) test: 0.00* Jarque-Bera test: 0.00*
Joint F-statistic: 0.00* Joint Wald test: 0.00*

Note: * Significance levels: *p < 0.01.

The OLS regression model was validated to demonstrate significant spatial heterogeneity. This means that the regression parameters will change with changes in geographical location [69]. In view of the characteristics of statistical significance and non-stationarity, the GWR model, which uses the bi-square kernel function and is judged by the AICc value, was used to model the six variables that passed the significance test. The results are shown in Table 5. Compared to that of the OLS model, the explanatory power of each factor for the NO2 concentration in the GWR model is enhanced to 97%, rendering it more suitable for the analysis of factors influencing the distribution of the NO2 concentration in Shandong Province.

Table 5

Regression results of the GWR model

Variable Bandwidth Minimum First quartile (Q1) Median Median third quartile (Q3) Maximum
Intercept 39 −79.26 9.142 24.276 39.729 123.631
DEM 39 −0.737 −0.029 −0.015 −0.001 0.752
Temperature 39 −17.694 −3.188 −1.092 1.104 12.704
Precipitation 39 −2.817 −0.209 0.200 0.698 3.479
LUR 39 −0.012 0.000 0.000 0.001 0.007
Activity 39 −0.777 0.042 0.144 0.311 4.214
Population 39 −4.066 −0.307 0.417 1.347 5.089
AICc: 3678.781
Coefficient of determination R 2: 0.986 Adjusted coefficient of determination adj. R 2: 0.977

Figure 12 clearly shows that the overall explanatory power of the GWR model for the NO2 concentration varies within Shandong Province. The area where the GWR model exhibits a lower explanatory power for the NO2 concentration in Shandong Province is approximately 5644.35 km2, while the area where the explanatory power reaches 93% is approximately 133649.10 km2, which is approximately 85.8% of the area of Shandong Province.

Figure 12 
                  Spatial distribution of the local R
                     2 of the GWR model in Shandong Province.
Figure 12

Spatial distribution of the local R 2 of the GWR model in Shandong Province.

4 Discussion

4.1 Effects of socioeconomic factors on NO2 emissions

According to the above research on the temporal and spatial distribution and influencing factors of tropospheric NO2 pollutants, it is found that the urban NO2 pollution pattern is closely related to economic growth. As shown in Figure 13, the permanent population of Shandong Province showed a slow growth trend from 2005 to 2023. By the end of 2022, the permanent population of Shandong Province reached 101.63 million, an increase of 9.15 million over 2005. At the same time, the GDP of Shandong Province has shown a continuous growth trend from 2005 to 2023, from a regional GDP of 1594.75 billion yuan in 2005 to 9206.87 billion yuan in 2023, which is 5.77 times that of 2005. The primary industry, dominated by agriculture and forestry, has a low proportion in the national economic structure, and the primary industry has developed steadily from 2005 to 2023, with an annual average of 429.491 billion yuan. The GDP of the secondary and tertiary industries continues to increase. From 2005 to 2014, the GDP of the secondary industry accounted for a higher proportion of the total GDP than that of the tertiary industry. However, since 2015, the proportion of GDP of the tertiary industry has gradually surpassed that of the secondary industry and continues to rise. The secondary industry, which is dominated by industrial production, has a large demand for energy and still produces a large amount of NO x emissions during the production process. This is why although the GDP of the secondary industry is surpassed by the tertiary industry, its proportion is still at a high level.

Figure 13 
                  (a) Permanent population of Shandong Province from 2005 to 2023. (b) GDP of Shandong Province from 2005 to 2023. (c) Total number of civilian vehicles of Shandong Province from 2005 to 2023. (d) Number of car drivers in Shandong Province from 2005 to 2023.
Figure 13

(a) Permanent population of Shandong Province from 2005 to 2023. (b) GDP of Shandong Province from 2005 to 2023. (c) Total number of civilian vehicles of Shandong Province from 2005 to 2023. (d) Number of car drivers in Shandong Province from 2005 to 2023.

With the steady increase of population, the tertiary industry, including transportation, technical services, and other industries, is developing rapidly, and the motor vehicle exhaust emissions generated during transportation have gradually become one of the important reasons affecting NO2 pollution in Shandong Province. During the period from 2005 to 2023, the total number of civilian vehicles and the number of car drivers in Shandong Province showed a continuous upward trend. In 2023, the total number of civilian vehicles in Shandong Province also reached 30.3354 million. According to the “China Statistical Yearbook 2024,” National NO x emissions in 2023 will be 12.0732 million tons. As a major industrial province, Shandong’s NO x emissions will be 1.2568 million tons, accounting for 10.41% of the country’s NO x emissions, ranking first in the country. The “China Mobile Source Environmental Management Annual Report (2023)” clarifies that the emissions of nitrogen oxides from mobile sources represented by motor vehicles and construction machinery will reach 10 million tons in 2022, which has become the primary source of air pollutants in some domestic cities. Taking Jinan City, Shandong Province as an example, nitrogen oxide emissions account for 49% of the city’s total emissions and are the largest contributor [70].

Under the background of continuous GDP growth, traffic has become the main source of NO x emissions, and it is in the stage of intensification of NO2 pollution. It is very important to change the development mode of the high energy-consuming economic growth mode. Therefore, future research needs to clarify the relationship between urbanization level and NO2 concentration distribution, not only to understand the NO2 concentration distribution in Shandong Province, but also to understand the impact of surrounding cities on NO2, and actively promote the air pollution control of “3 + 26” cities. As the total number of civilian vehicles and NO x emissions from motor vehicles continue to increase, we should encourage the development of public transportation and more policies to reduce exhaust emissions to alleviate NO x and O3 concentrations.

4.2 Interactions of temperature, urbanization, and broader atmospheric processes

Although key influencing factors such as temperature and urbanization have been identified in this study, the mechanism of these factors and their connection with wider atmospheric processes need further exploration. The positive correlation effect of temperature on NO2 concentration may involve complex photochemical reaction mechanisms [71], and high temperature conditions may not only affect the generation and conversion rate of NO2, but also affect the diffusion conditions of pollutants by changing the atmospheric boundary layer height. At the same time, although this study found that urbanization indicators (such as population density, night lighting) are negatively correlated with NO2 concentration, deep-seated factors such as energy structure transformation and industrial layout adjustment may be implied behind this relationship. How these factors pass through the atmospheric chemical process. The ultimate impact on NO2 concentration needs further exploration. In addition, regional atmospheric circulation models [72], cross-regional pollutant transport [73], and the synergistic mechanism between NO2 and other atmospheric pollutants (such as PM2.5, O3, etc.) still need to be systematically studied [74]. Future research should combine ground observation data, atmospheric chemical transport models, and multi-source remote sensing data to build a more comprehensive model of NO2 pollution formation and diffusion mechanism to provide a more accurate scientific basis for regional air pollution prevention and control.

4.3 Spatial heterogeneity and remote sensing data validation challenges

4.3.1 Environmental and geospatial specificities of Shandong

Shandong Province is a typical area of “industry-agriculture-coastal” compound pollution in China, and its spatial and temporal distribution of NO2 will be affected by many factors. The spatial distribution of NO2 concentration presents a gradient of “high in the east and low in the west” (Figure 3a), which is highly correlated with the energy structure of Jiaodong Peninsula industrial belt (Qingdao City, Yantai City) and provincial capital economic circle (Jinan City, Zibo City) [75]. The NO2 concentration in agricultural municipal areas such as Dezhou City and Liaocheng City may be related to the application of ammonia fertilizer, and the agricultural NO x emission is more significant in the crop growing season (May–August) [76]. In addition, the Taishan Mountains are located in the central part of Shandong Province, and the barrier effect on pollutant diffusion increases the NO2 residence time in the western part of Shandong Province [77]. In coastal areas, NO2 concentration is closely related to monsoon, which affects the amplitude of the NO2 diurnal cycle, thus reducing coastal NO2 concentration [78,79].

Comparing the NO2 concentration in the Pearl River Delta region with different natural conditions and industrial structure with that in Shandong Province, the results show that the seasonal fluctuation range of NO2 in the Pearl River Delta region is small, and the comparison of the monthly average concentrations of NO2 in the two places is shown in Figure 14. Among them, the monthly average tropospheric NO2 concentrations in Shandong Province and Pearl River Delta region were 12.31 × 10−5 mol/m2 and 7.15 × 10−5 mol/m2, respectively; the lowest concentrations were 4.54 × 10−5 mol/m2 and 3.91 × 10−5 mol/m2, respectively; the highest concentrations were 37.37 mol/m2 and 16.04 × 10−5 mol/m2, respectively. The highest concentration in Shandong Province is 2–3 times that in the Pearl River Delta region, which may be affected by the cumulative effect of pollution or regional transmission effect. This also reflects the impact of differences in dominant control factors in different regions on regional air pollution.

Figure 14 
                     Comparison of monthly average tropospheric NO2 concentration between Shandong Province and Pearl River Delta region.
Figure 14

Comparison of monthly average tropospheric NO2 concentration between Shandong Province and Pearl River Delta region.

The spatiotemporal evolution model of NO2 in Shandong Province provides a unique perspective for air pollution control in global industrial transformation zones, but its promotion needs to combine the heterogeneity of regional socioeconomic and natural conditions.

4.3.2 Limitations and validation challenges of Sentinel-5P

Compared with OMI sensors, the 3.5 × 5.5 km2 high-resolution NO2 products provided by TROPOMI sensors can have a more detailed understanding of the spatial distribution characteristics of NO2, thereby further locating pollution emission sources. High-resolution TROPOMI makes up for the shortcomings of low and medium spatial resolution and provides richer spatial distribution information. However, TROPOMI sensors started in 2018. Due to the limitation of observation duration, high-resolution TROPOMI sensors are still difficult to support long-sequence continuous monitoring of tropospheric NO2 polluted gases. At present, there have been studies to fuse multi-source datasets (such as satellite data, climate reanalysis, and chemical transport model datasets, etc.) through machine learning (ML) models (such as multi-stage ML frameworks, LightGBM models, etc.) to generate high temporal resolution NO2 datasets [80,81]. The satellite-based tropospheric column formaldehyde to nitrogen dioxide concentration ratio (FNR) in characterizing the sensitivity of near-surface ozone generation, Jiang et al. developed an FNR stereo distribution reconstruction method system that integrates ground-based and satellite hyperspectral remote sensing to realize the prediction of HCHO and NO2 vertical profiles independent of MAX-DOAS observation [82].

Based on the above, although this article reveals the spatial and temporal distribution pattern of regional NO2 concentration based on TROPOMI NO2 column concentration and products, there are still limitations in the ability to monitor NO2 in long-term series. Future research can integrate high-performance models and high-resolution data to build a refined point prediction system to promote the development of air pollution modeling to long-term scale data with sub-kilometer spatial accuracy.

5 Conclusions

This study employs the GEE cloud platform to obtain the column concentration of Sentinel-5P NO2 from January 2019 to December 2023. Then, we analyzed the spatiotemporal distributions, change characteristics, and influencing factors of the NO2 column concentration in Shandong Province. A comparison with ground-based NO2 concentrations demonstrated the reliability of the NO2 column concentrations retrieved by the TROPOMI sensor. Further analysis of the NO2 column concentrations revealed seasonal and periodic fluctuations in NO2 concentrations in Shandong Province. In terms of the spatial distribution, high NO2 concentrations were concentrated in the central-northern region, the city center of Linyi, and the coastal areas of Qingdao, covering approximately 10.58% of the total area. The medium-concentration areas were primarily located in the western region of Shandong Province, accounting for 46.63% of the total area.

Geographic detectors were employed to investigate the influence of natural and social factors on the distribution of NO2 concentrations. Among the social factors, the population density had the most significant impact on the distribution of NO2 concentrations, while temperature was the most influential natural factor. The explanatory power of each factor increased significantly when interactions were considered in comparison to single-factor effects. Least squares OLS and geographically weighted regression GWR models were employed to construct regression models of the influencing factors. The results indicated that population density, nighttime light intensity, and the urbanization rate promote NO2 pollution, while terrain, temperature, and precipitation have mitigating effects. Compared with the OLS model, the GWR model demonstrated superior explanatory power for the NO2 concentration distribution characteristics. This study provides a reference for governments and policy-makers in formulating relevant policies and measures.

Acknowledgments

This research was funded by the National Natural Science Foundation of China (42064001, 42374017).

  1. Funding information: This research was funded by the National Natural Science Foundation of China (Grant Nos. 42064001, 42374017).

  2. Author contributions: Conceptualization, Shijian Zhou and Siting Zeng; methodology, Yunqi Zhou and Siting Zeng; investigation, Siting Zeng and Zhang Yuan; data curation, Siting Zeng, Zhang Yuan; writing – original draft preparation, Siting Zeng; writing – review & editing, Shijian Zhou, Fengwei Wang, Yunqi Zhou and Siting Zeng; supervision, Shijian Zhou, Fengwei Wang, Yunqi Zhou and Siting Zeng; funding acquisition, Shijian Zhou. All authors have read and agreed to the published version of the manuscript.

  3. Conflict of interest: The authors declare no conflicts of interest.

  4. Data availability statement: In view of confidentiality and the need for permission from the authors, data and materials will be available on request.

Appendix

Table A1

Variable information

Serial number Variable Description (units)
Equation (1) x i The ground-level NO2 concentration (mg/m3)
y i The tropospheric column NO2 concentration (mol/m2)
x ¯ y ¯ Average value
E x y The correlation coefficient
n The number of samples
Equation (2) tanh Hyperbolic tangent function
NIR Reflectivity in the near-infrared band
red Red band reflectivity
σ The scale parameter
Equation (3) u l The scale of urban land use
i l The scale of other construction land use
r l The scale of rural residential land use
Equation (4) h The number of categories or partitions of the factor
N h The total number of units in the whole region
N The number of samples in region h
σ h 2 The variance of region h
σ 2 The whole region
SSW The sum of the within-group variances
SST The total variance of the whole region
Equation (5) y i The NO2 column concentration for the corresponding grid i (mol/m2)
β 0 Constant term
β k The regression coefficient of the influence factor k
x i k The value of the influence factor k at location i
ε i The random error term
Equation (6) y i The NO2 column concentration value for the corresponding grid i (mol/m2)
( u i , v i ) The spatial coordinate of grid i
β 0 ( u i , v i ) The constant term at the ( u i , v i ) coordinate
β k ( u i , v i ) The value of the influence factor k at location ( u i , v i )
x i k The value of the influence factor k at location i
ε i The random error term

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Received: 2024-07-08
Revised: 2025-04-29
Accepted: 2025-05-29
Published Online: 2025-11-03

© 2025 the author(s), published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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  135. Spatiotemporal and trend analysis of common cancers in men in Central Serbia (1999–2021)
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  138. Functional transformation of settlements in coal exploitation zones: A case study of the municipality of Stanari in Republic of Srpska (Bosnia and Herzegovina)
  139. Hypertension in AP Vojvodina (Northern Serbia): A spatio-temporal analysis of patients at the Institute for Cardiovascular Diseases of Vojvodina
  140. Regional patterns in cause-specific mortality in Montenegro, 1991–2019
  141. Spatio-temporal analysis of flood events using GIS and remote sensing-based approach in the Ukrina River Basin, Bosnia and Herzegovina
  142. Flash flood susceptibility mapping using LiDAR-Derived DEM and machine learning algorithms: Ljuboviđa case study, Serbia
  143. Geocultural heritage as a basis for geotourism development: Banjska Monastery, Zvečan (Serbia)
  144. Assessment of groundwater potential zones using GIS and AHP techniques – A case study of the zone of influence of Kolubara Mining Basin
  145. Impact of the agri-geographical transformation of rural settlements on the geospatial dynamics of soil erosion intensity in municipalities of Central Serbia
  146. Where faith meets geomorphology: The cultural and religious significance of geodiversity explored through geospatial technologies
  147. Applications of local climate zone classification in European cities: A review of in situ and mobile monitoring methods in urban climate studies
  148. Complex multivariate water quality impact assessment on Krivaja River
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  150. Shift in landscape use strategies during the transition from the Bronze age to Iron age in Northwest Serbia
  151. Assessing the geotourism potential of glacial lakes in Plav, Montenegro: A multi-criteria assessment by using the M-GAM model
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