{'fraction_non_alphanumeric': 0.03915045442491743, 'fraction_numerical': 0.03669149731202237, 'mean_word_length': 4.761388888888889, 'pattern_counts': {'":': 0, '<': 11, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 7, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Association of Ambient Air Pollution with Nasopharyngeal Carcinoma Incidence in Ten Large Chinese Cities, 2006–2013

Large cities in China are experiencing severe ambient air pollution. Although China accounts for more than 45% of new cases of nasopharyngeal carcinoma worldwide in 2018, few studies have examined the association between ambient air pollution and the high nasopharyngeal carcinoma (NPC) incidence in China. Thus, we aim to investigate whether exposure to ambient air pollution (including nitrogen dioxide, sulfur dioxide, and PM10) would significantly affect NPC incidence in large Chinese cities. We collected panel data of ten Chinese provincial cities about local NPC incidence, air pollution level, meteorology, and city profiles during 2006 to 2013 to construct a two-way fixed-effects model to explore the association between ambient air pollution and NPC incidence, as well as possible regional and gender differences behind the association. We found that NO2 had the strongest association with NPC incidence, and the relative risks were 2.2995 (95% CI, 1.2567–4.2075) for males and 1.3010 (95% CI, 0.8212–2.0620) for females, respectively. Under cumulative exposure, it was still NO2 that had the strongest association with NPC incidence, with a relative risk of 1.8836 (95% CI, 1.2416–2.8577), compared to 1.0857 (95% CI, 0.9474–1.2450) and 1.0547 (95% CI, 0.8790–1.2663) for SO2 and PM10, respectively. In addition, males were found more sensitive to ambient air pollution than females. We also found that southern Chinese cities were more sensitive to NO2 than northern cities, which might be related to a higher humidity there. Our study reveals that exposure to ambient air pollutants like SO2, PM10, and particularly NO2, is significantly positively associated with NPC incidence in China.


Introduction
Ambient air pollution is correlated with many respiratory diseases [1][2][3]. According to World Health Organization (WHO) data, in 2016, 91% of the world population were living in places where the WHO air quality guidelines levels were not met, which is responsible for an estimated 4.2 million premature deaths worldwide every year [4]. Evidence suggests that ambient air pollution is an underlying factor of nasopharyngeal carcinoma (NPC) [5]. Specifically, studies have shown that people were more susceptible to NPC after long-term exposure to SO 2 vapor [6]. When inhaled, SO 2 quickly dissolves in water and forms SO − 3 and SO − 4 , which can cause a series of respiratory diseases, including spread of Chinese air pollution to downwind surrounding regions though air outflow has been found in previous research [24][25][26][27][28]. The rest of paper is arranged as follows: Section 2 presents the methods, Section 3 exhibits the results, Section 4 discusses the results, and Section 5 draws the conclusions.

Study Area
To study the association between ambient air pollution and NPC incidence, ten large Chinese cities (provincial capitals) were selected for collection of data in terms of air pollution, NPC incidence, meteorological conditions, and city profiles from the period 2006 to 2013. The cities are respectively Beijing, Shenyang, Changchun, Harbin, Shanghai, Chengdu, Chongqing, Wuhan, Hangzhou, and Guangzhou, covering a total population of more than one hundred million people. In Figure 1, the geographical distribution of annual average NPC incidence from 2006 to 2013 across ten selected Chinese cities is displayed. For instance, a spread of Chinese air pollution to downwind surrounding regions though air outflow has been found in previous research [24][25][26][27][28]. The rest of paper is arranged as follows: Section 2 presents the methods, Section 3 exhibits the results, Section 4 discusses the results, and Section 5 draws the conclusions.

Study Area
To study the association between ambient air pollution and NPC incidence, ten large Chinese cities (provincial capitals) were selected for collection of data in terms of air pollution, NPC incidence, meteorological conditions, and city profiles from the period 2006 to 2013. The cities are respectively Beijing, Shenyang, Changchun, Harbin, Shanghai, Chengdu, Chongqing, Wuhan, Hangzhou, and Guangzhou, covering a total population of more than one hundred million people. In Figure 1, the geographical distribution of annual average NPC incidence from 2006 to 2013 across ten selected Chinese cities is displayed. Figure 1. Geographical distribution of the annual average nasopharyngeal carcinoma (NPC) incidence of the ten large Chinese cities, from the period 2006 to 2013. Note: The color-bar on the right represents different degrees of NPC incidence-the deeper the red color, the higher the incidence.
The cities geographically distributed from southern to northern China as demarcated by the Qinling Mountains-Huaihe River, which indicates that NPC incidence, i.e., the number of cases per 100,000 population per year in a city, was higher in southern cities than in northern cities in this period, as consistent with previous research [19,29].
For the sake of investigating the long-term health effects of ambient air pollution in a period as long as possible, these ten provincial cities were selected conveniently as they are the only ones among all Chinese provincial cities which contain for up to eight years online publicly available data on NPC incidence from 2006 to 2013, as far as we are concerned.

Air Pollution Data
The annual average air pollution concentration was ascertained by using data from fixed air monitoring sites regulated by Chinese Minister of Environmental Protection. The data are published online by Municipal Statistical Bureau of each city, which reports annual average concentrations Figure 1. Geographical distribution of the annual average nasopharyngeal carcinoma (NPC) incidence of the ten large Chinese cities, from the period 2006 to 2013. Note: The color-bar on the right represents different degrees of NPC incidence-the deeper the red color, the higher the incidence.
The cities geographically distributed from southern to northern China as demarcated by the Qinling Mountains-Huaihe River, which indicates that NPC incidence, i.e., the number of cases per 100,000 population per year in a city, was higher in southern cities than in northern cities in this period, as consistent with previous research [19,29].
For the sake of investigating the long-term health effects of ambient air pollution in a period as long as possible, these ten provincial cities were selected conveniently as they are the only ones among all Chinese provincial cities which contain for up to eight years online publicly available data on NPC incidence from 2006 to 2013, as far as we are concerned.

Air Pollution Data
The annual average air pollution concentration was ascertained by using data from fixed air monitoring sites regulated by Chinese Minister of Environmental Protection. The data are published online by Municipal Statistical Bureau of each city, which reports annual average concentrations (µg/m 3 ) of various air pollutants, including PM 10 , nitrogen dioxide, and sulfur dioxide. According to the technical guidelines of the Chinese government, these monitoring sites cannot be located near major roads or industrial plants, so that they accurately reflect the general level of urban air pollution. PM 10 , instead of PM 2.5 and ozone, is selected as an independent variable mainly due to limitation in data accessibility, as the monitoring of PM 2.5 and ozone is initiated by Chinese government in 2012 at the earliest, before which only data on NO 2 , SO 2 , and PM 10 are available.

Data on NPC Incidence
Annualized summarized data on NPC incidence were obtained from the annual report of cancer register published by the Tumor Registration and Reporting System, a division affiliated with the Chinese Center for Disease Control and Prevention, which was established by the Chinese government in 1978 to provide real-time data on national incidence and mortality from all-causes. The Tumor Registration and Reporting system was established in 2002 with the approval of the Chinese Ministry of Health and comprises many cancer monitoring sites in numerous cities. If hospitals and health centers at various levels identify new cancer cases or deaths from malignant tumors, reports will be submitted to the management agency of the Tumor Prevention and Reporting System. Until 2022, more than 850 cancer registries will be included in the national cancer register annual report. The NPC incidence, overall and by sex, is reported after age weighting to facilitate comparisons between cities with different age structures.

Confounder Variables
To control for the effects of meteorology on incidence [24][25][26][27][28], urban meteorological data, including annual hours of sunshine, annual precipitation, and annual average humidity, were obtained from meteorological stations regulated by Municipal Meteorological Office in the ten cities. The monitoring standards are consistent with the international World Meteorological Organization standards.
Ambient air pollution is aggravated by automobile exhaust gas [11], which may be linked to NPC morbidity. Therefore, we controlled the number of private cars owned per 100 population to control for the effect of urban traffic conditions. Urban green coverage rate and second industrial output were added to control for the confounding effects of urban greenery and urban second industrial development [30]. Tobacco and alcohol consumption are confirmed to be potential pathogenic factors of NPC [31,32], so we adjusted for tobacco and alcohol consumption per capita (adjusted by the historical CPI (consumer price index) index for tobacco and alcohol). Similarly, per capita disposable income (adjusted to baseline by using CPI index history to eliminate inflation) was added to control for the effect of social economic status [33][34][35][36]. Levels of urban education popularization and public medical resources were controlled for by using educational personnel per capita and number of hospitals and clinics as proxies, as they may affect NPC incidence [18,36]. The Chinese government's determination to curb urban air pollution likely affects air pollutant concentrations [37], and it is reasonable to assume that the government also deals with air pollutants outside our model, such as ozone, which may also affect NPC incidence. Thus, to avoid confounding, the number of urban industrial exhaust-gas treatment facilities was used as a proxy of governmental attempts to curb air pollution.

Statistical Analysis
Descriptive statistics were generated using the mean, standard deviation (SD), and quartiles of each variable.
This study used a two-way fixed-effects model [17], based on the panel data from ten large Chinese cities from 2006 to 2013. This method removes possible confounding factors from the error term that remain constant or change synchronously over time for each city.
The two-way fixed-effects model is a generalization of the classical DID (difference-in-difference) model and is widely used in statistics and econometrics, with the following basic form: The dependent variable Y it is the NPC incidence in city i in the time point t. The key predictor variable P it represents the air pollutants examined: NO 2 , SO 2 , and PM 10 . X it is a set of control variables. v i depicts the unobserved fixed effects of an individual city, which remain constant or grow slowly over time with an effect on NPC incidence, such as social customs, rituals, and dietary habits. γ t depicts time-fixed effects and captures unobserved effects of synchronous time trends on NPC incidence across all cities, such as nationwide policies. ε it is the error term. The cluster robust standard deviation has been used to avoid serial correlation and heteroscedasticity. The data were analyzed using Stata 13.1 software.
To acquire an elasticity-interpretation of the effects between air pollution and NPC incidence, the model was fitted on logarithmic values of the original data of all variables, as follows: To ensure that the time-series of all variables were stationary, both the ADF (Augmented Dickey-Fuller) and LLC (Levin-Lin-Chu) unit root test were conducted before formal estimation. After logarithmic processing, two control variables were processed in first difference to keep stationary, including annual disposable income per capita, and tobacco and alcohol consumption. To simulate and capture the long-term effects of ambient air pollution, totally three years' lagged terms of air pollutants were added.
First, we investigated the effect of ambient air pollution on NPC incidence in the overall population, and then by sex. Considering the possibility of a regional difference in the health effects of air pollutants [17,38], to investigate the difference in sensitivity to ambient air pollution between the southern and northern cities, we further examined whether the interaction between ambient air pollutants with southern city dummy variable would have a significant effect on NPC incidence.
Second, the effect of air pollution on NPC incidence growth rate, overall and by sex, was investigated by treating the dependent variable in the first-order difference after logarithmic processing. Log-difference treatment can be used to estimate annualized growth rates of original time series and has the additional advantage of smoothing the curve as well as partially eliminating heteroscedasticity [39]. Then, interaction plots were drawn for a clearer view of the regional difference in the effect of ambient air pollution on NPC incidence and its growth rate between southern and northern Chinese cities, with simple slope tests done to test the significance of slopes [40].
Third, we investigated the cumulative health effects of ambient air pollution. If P it , P it−1 , P it−2 , and P it−3 respectively refers to the air pollution in the current, lag1, lag2, and lag3 periods, and if we make δ 1 equal the sum of β 1 , β 2 , β 3 , and β 4 , which are the coefficients of P it , P it−1 , P it−2 , and P it−3, then β 1 would equal δ 1 minus β 2 , β 3 , and β 4 , and the model could be written as: This transformation has been broadly used in finite distributed lag models [41]. In this model, the coefficient δ 1 represents the cumulative health effects or long-run propensity of exposure to ambient air pollution, for which the confidence interval (CI) can be calculated as per the standard deviation of δ 1 . The cumulative effect is essentially different from the long-term effect in that the latter assumes that the increment of air pollutant concentrations in one period will not extend to the next period, while the former assumes that the concentration increment extends from the current period to future periods.
Finally, to compare present and past findings, we transformed the model from log-log to log-linear, where air pollutants were treated in their original series but control variables remained in their logarithmic form, to calculate the adjusted relative risk (RR) of NPC incidence associated with an increment of 10 µg/m 3 in the concentrations of air pollutants, as previously reported [42]. The RR and its confidence interval were calculated as per e β∆x , where ∆x refers to a 10 µg/m 3 increment in air pollutant concentrations. The RRs for NPC incidence were analyzed in three different models: A one-pollutant model with zero lag, a one-pollutant model with three lags, and a three-pollutants model with three lags to control for the effects of pollutant numbers.
We conducted a further sensitivity analysis to test whether the effect of air pollution would change greatly after model modifications. Models with zero, one, and two lags of air pollution were established to compare with the basic model involving three lags. Then, models adjusted only for meteorological variables were established to eliminate the effect of multicollinearity on relative risks. The result is displayed in the appendix.
The data that support the findings of this study can be downloaded from four Chinese online data repositories: NPC incidence data are from China Health Database, air pollution data and meteorological data are from China City Database, data of control variables are from China Macro economy Database, all of which can be accessed on Chinese Easy Professional Superior (EPS) platform.

Data Description
The variables are summarized in Table 1. In brief, the incidence was higher in the south than in the north, and higher in men than in women, consistent with previous discoveries [19,29]. PM 10 pollution was greater in the north than in the south, while nitrogen dioxide pollution was greater in south than in the north. The annual average air pollution concentrations in the ten large Chinese cities far exceeded the requirement of WHO guideline, which set a upper limit of an annual average of 20 µg/m 3 for PM 10 , 40 µg/m 3 for NO 2 , and a daily average of 20 µg/m 3 for SO 2 [43]. Precipitation and humidity were greater in the southern than in the northern cities, while the duration of sunshine was shorter in the south, consistent with the climatic features of areas located in different geographical latitudes.

Association of Air Pollution with NPC Incidence and Its Growth Rate
Estimates of the associations between air pollution and NPC incidence (the first to fourth column) and its growth rate (the fifth to eighth column) based on a two-way fixed-effects model, after controlling for a series of possible confounding variables, are presented in Table 2, in which all variables were in logarithmic form to eliminate heteroscedasticity and estimate elasticity.
An increase in current period's NO 2 concentration is positively associated with both NPC incidence and its growth rate, overall or by sex, with or without interaction terms, with significant influences at the 1% level, except on the incidence in females (t = 0.78). For every 1% increase in NO 2 concentration in the current period, the overall NPC incidence increases by 2.509% (4.18% and 0.599% for males and females, respectively) and overall NPC incidence growth rate increases by 6.458% (8.509% and 7.769% for males and females, respectively). Similarly, the health effects of SO 2 in the current period are positively associated with both NPC incidence and its growth rate, but not quite statistically significant like NO 2 . As for PM 10 , it seems that it is most strongly associated with NPC incidence of females, instead of males.  The long-term health effects of air pollution are manifested by the fact that all significant coefficients in the lag2 period are positive in relation to both NPC incidence and incidence growth rate. For example, a 1% increase in the concentration of SO 2 is associated with an increase in NPC incidence from 1.125% to 1.824%, and an increase in its growth rate from 1.993% to 2.759%; and a 1% increase in the concentrations of PM 10 is significantly related to a 1.077% and 1.908% increase in overall NPC incidence and its growth rate, respectively.
For males, the air pollutant with the strongest influence in the current and lag3 period is NO 2 , and that in the lag1 and lag2 period is PM 10 . For instance, every 1% increase in NO 2 concentration in the current period increases NPC incidence of males by 4.18%. While for females, possibly due to a comparatively lower incidence versatility compared to males, as displayed in Table 1, the influences of some lagged terms are not as statistically significant as they are for males. However, from the perspective of NPC incidence growth rate, which amplifies the volatility of incidence and captures more slight variations by calculating log-difference, many terms become significant, and it is still NO 2 that has the strongest influence in the current and lag3 period; moreover, the air pollutant with the strongest effect in the lag2 period is still PM 10 , like in the case of males. We noticed that PM 10 in the current period was negatively correlated with NPC incidence, except for females, perhaps because of an underestimation due to the failure to consider use of anti-haze masks among citizens, as well as the tendency for people to stay indoors when air pollution is severe [17]. Moreover, the detrimental effect of PM 10 on men may require a longer incubation period, as from the lag1 period (p = 0.068), lag2 period (p = 0.078), to lag3 period (p = 0.518), PM 10 is positively associated with NPC incidence. In sum, the result implies that males are more sensitive to the effect of NO 2 on NPC incidence than females, as all coefficients related to NO 2 in the third column (males) are larger than that in the fourth column (females).
In addition, we also noticed that the influences of NO 2 on NPC incidence in the lag1 period are significantly negative, which appears to suggest that the increase in NO 2 concentration is responsible for the earlier onset of NPC from the next year to this year. Similarly, both NO 2 and PM 10 in the lag1 period are negatively correlated with NPC incidence growth rate, perhaps due to a higher cardinality, and many studies have suggested that the exposure-response relationship will become less steep as air pollution levels increase, which may help explain why higher concentrations of air pollution are related to lower NPC incidence growth rate for NO 2 and PM 10 in the lag1 period [38,44].
With respect to control variables, average annual disposable income per capita, industrial exhaust-gas treatment facilities, private-car-ownership per 100 population, number of hospitals and clinics, educational personnel per capita, and precipitation are negatively correlated with NPC incidence, while average annual air humidity, hours of sunshine per year, green coverage rate, total output value of secondary industry, and per capita consumption of tobacco and alcohol are positively correlated with NPC incidence. The estimation result of control variables is shown in Table A1.
To investigate the regional difference, three interaction terms consisting of the current-period air pollution with a southern city dummy variable were added, but none were significant unless the interactive term containing PM 10 , which had the lowest t-value, was removed. Then, as compared with northern cities, every 1% increase in current NO 2 concentration in southern cities is associated with another 2.228% increase in NPC incidence, and another 2.259% increase in NPC incidence growth rate, while northern cities appear to be influenced more by SO 2 .
The interactive plots are shown in Figure 2A,B.
In Figure 2A, the sensitivity of NPC incidence to NO 2 differs between northern (simple slope t = 10.922, p = 0.000) and southern (simple slope t = 11.688, p = 0.000) cities. Similarly, in Figure 2B, the sensitivity of NPC incidence growth rate to NO 2 differs between northern (simple slope t = 5.630, p = 0.000) and southern (simple slope t = 7.345, p = 0.000) cities. In the condition that other factors are kept constant at their average, when NO 2 concentration increases by one interquartile range (IQR) from the average, NPC incidence increases by 7 (≈ e 3.6453 −e (3.2523 + 3.6453)/2 ) per 100,000 population in northern cities and 18 (≈ e 2.7917 −e (2.7917 + 2.7556)/2 ) per 100,000 population in southern cities, indicating a marked regional difference. In the condition that all factors including air pollution level are kept constant at their average, the average NPC incidence is 32 (≈(e 3.6453 + e 3.2523 )/2) per 100,000 population nationwide, and the average annual NPC incidence growth rate is approximately 42% (≈(1.0688 − 0.2203)/2) nationwide, indicating an increasing trend in NPC incidence over time. In Figure 2A, the sensitivity of NPC incidence to NO2 differs between northern (simple slope t = 10.922, p = 0.000) and southern (simple slope t = 11.688, p = 0.000) cities. Similarly, in Figure 2B, the sensitivity of NPC incidence growth rate to NO2 differs between northern (simple slope t = 5.630, p = 0.000) and southern (simple slope t = 7.345, p = 0.000) cities. In the condition that other factors are kept constant at their average, when NO2 concentration increases by one interquartile range (IQR) from the average, NPC incidence increases by 7 (≈ e 3.6453 −e (3.2523 + 3.6453)/2 ) per 100,000 population in northern cities and 18 (≈ e 2.7917 −e (2.7917 + 2.7556)/2 ) per 100,000 population in southern cities, indicating a marked regional difference. In the condition that all factors including air pollution level are kept constant at their average, the average NPC incidence is 32 (≈(e 3.6453 + e 3.2523 )/2) per 100,000 population nationwide, and the average annual NPC incidence growth rate is approximately 42% (≈(1.0688 − 0.2203)/2) nationwide, indicating an increasing trend in NPC incidence over time.

Cumulative Health Effect of Air Pollution on NPC Incidence and its Growth Rate
To better evaluate the long-term cumulative health effects of air pollution, long-run propensity covering four years was calculated for each air pollutant (Table 3). When the concentration of air pollutants increases by 1% annually during the current year and future three years, the cumulative health effect will be a 3.4%, 1.547%, and 2.152% increase in NPC incidence and an 8.899%, 6.315%, and 3.539% increase in NPC incidence growth rate, for NO2, SO2, and PM10, respectively. For overall NPC incidence, the air pollutant with the strongest cumulative health effects is NO2, followed by PM10 and SO2; and for overall incidence growth rate, the air pollutant with the strongest cumulative health effects is also NO2, however followed by SO2 and PM10 successively.

Cumulative Health Effect of Air Pollution on NPC Incidence and Its Growth Rate
To better evaluate the long-term cumulative health effects of air pollution, long-run propensity covering four years was calculated for each air pollutant (Table 3). When the concentration of air pollutants increases by 1% annually during the current year and future three years, the cumulative health effect will be a 3.4%, 1.547%, and 2.152% increase in NPC incidence and an 8.899%, 6.315%, and 3.539% increase in NPC incidence growth rate, for NO 2 , SO 2 , and PM 10 , respectively. For overall NPC incidence, the air pollutant with the strongest cumulative health effects is NO 2 , followed by PM 10 and SO 2 ; and for overall incidence growth rate, the air pollutant with the strongest cumulative health effects is also NO 2 , however followed by SO 2 and PM 10 successively.  Table 4 summarizes the relative risks of NPC attributable to air pollution, respectively, in a one-pollutant model with zero lag (Model 1), a one-pollutant model with three lags (Model 2), and a three-pollutants model with three lags (Model 3). The cumulative relative risks are shown in Model 4. The four models separately estimate the relative risks of NPC incidence in relation to air pollution, overall and by sex, adjusted for all control variables. In the one-pollutant model with zero lag (Model 1), one-pollutant model with three lags (Model 2), and three-pollutants model with three lags (Model 3), it is NO 2 that has the largest effect on incidence overall and by sex in the current period, and the health effects are gradually strengthened from Model 1 to Model 3. In Model 3, the adjusted RRs of NPC in relation to NO 2 in the current period are of 1.5062 (95% CI, 1.2278-1.8478), 2.2995 (95% CI, 1.2567-4.2075), and 1.3010 (95% CI, 0.8212-2.0620), respectively, while SO 2 is not strongly associated with NPC incidence in the current period and has a significant but weak association with NPC incidence in females (adjusted RR = 1.0001, 95% CI = 1.0000−1.0003) in the lag1 period, and PM 10 in the current period is most strongly associated with NPC incidence in females, with an RR of 1.2649 (95% CI, 1.0674-1.4990). Taken together, NO 2 is most strongly associated with NPC incidence either overall, in males, or in females across three models in the current period. Note: Σ means the relative risk of NPC incidence associated with a 10 µg/m 3 increase in air pollutants concentrations annually lasting for four years. * p < 0.1, ** p < 0.05, *** p < 0.01. 95% CI in parentheses. Numbers keep four decimals.

Relative Risks of NPC Incidence in Relation to Ambient Air Pollution
Model 4 exhibits the cumulative relative risks of NPC incidence overall and by sex, in relation to cumulative exposure to three air pollutants, NO 2 , SO 2 , and PM 10 , specifically with a 10 µg/m 3 increment in concentration annually lasting for four years. The relative risks of NPC incidence overall associated with cumulative exposure to SO 2 and PM 10 are 1.0857 (95% CI, 0.9474-1.2450) and 1.0547 (95% CI, 0.8790-1.2663) respectively, and the cumulative exposure to NO 2 has a significant positive effect on NPC incidence overall and in males, and a positive but not significant effect in females: the RR values were 1.8836 (95% CI, 1.2416-2.8577), 3.5187 (95% CI, 1.2479-9.9215), and 1.2742 (95% CI, 0.7161-2.2696), respectively. In sum, under cumulative exposure, the air pollutant with the strongest adjusted RRs is NO 2 , both overall and by sex. A forest plot of this result has been drawn in Figure 3.
Note: Σ means the relative risk of NPC incidence associated with a 10 μg/m 3 increase in air pollutants concentrations annually lasting for four years. * p < 0.1, ** p < 0.05, *** p < 0.01. 95% CI in parentheses. Numbers keep four decimals. Model 4 exhibits the cumulative relative risks of NPC incidence overall and by sex, in relation to cumulative exposure to three air pollutants, NO2, SO2, and PM10, specifically with a 10 μg/m 3 increment in concentration annually lasting for four years. The relative risks of NPC incidence overall associated with cumulative exposure to SO2 and PM10 are 1.0857 (95% CI, 0.9474-1.2450) and 1.0547 (95%CI, 0.8790-1.2663) respectively, and the cumulative exposure to NO2 has a significant positive effect on NPC incidence overall and in males, and a positive but not significant effect in females: the RR values were 1.8836 (95% CI, 1.2416-2.8577), 3.5187 (95% CI, 1.2479-9.9215), and 1.2742 (95% CI, 0.7161-2.2696), respectively. In sum, under cumulative exposure, the air pollutant with the strongest adjusted RRs is NO2, both overall and by sex. A forest plot of this result has been drawn in Figure 3.

Sensitivity Analysis
In a sensitivity analysis of models separated by sex with different numbers of lagged terms, the results remain robust, especially those for NO2. Exposure to NO2 and SO2 leads to an increase in NPC incidence in the current period, which is greater in males, while PM10 appears more harmful to females (Table A2). Regarding the growth rate of NPC incidence, the effects of air pollutants are largely positive, and the effects of NO2 in the current period are all significantly positive, for which the effects are stronger on males than on females (Table A3). In a sensitivity analysis of RRs in models with different numbers of pollutants and adjusted only to meteorological variables, estimates are largely unchanged. In the three-pollutants model with zero lag, the one-pollutant model with zero lag, and the one-pollutant model with three lags, the adjusted RRs for NO2 remain quite similar, from 1.1026 (95% CI, 0.9623-1.2634), 1.122 (95% CI, 0.985-1.278), to 1.0862 (95% CI, 0.9831-1.2). In sum, the relative risks associated with NO2 are mostly greater than those for SO2 and PM10, in all but lag1 period (Table A4).

Discussion
This study is based on a two-way fixed-effects model and panel data from ten large Chinese cities during 2006 to 2013 to examine the association between ambient air pollution and NPC incidence. Several confounding factors, including levels of education popularization, levels of medical treatment, levels of urban greening, consumption of tobacco and alcohol per capita, disposable income per capita, second industrial development, and meteorological conditions are

Sensitivity Analysis
In a sensitivity analysis of models separated by sex with different numbers of lagged terms, the results remain robust, especially those for NO 2 . Exposure to NO 2 and SO 2 leads to an increase in NPC incidence in the current period, which is greater in males, while PM 10 appears more harmful to females (Table A2). Regarding the growth rate of NPC incidence, the effects of air pollutants are largely positive, and the effects of NO 2 in the current period are all significantly positive, for which the effects are stronger on males than on females (Table A3). In a sensitivity analysis of RRs in models with different numbers of pollutants and adjusted only to meteorological variables, estimates are largely unchanged. In the three-pollutants model with zero lag, the one-pollutant model with zero lag, and the one-pollutant model with three lags, the adjusted RRs for NO 2 remain quite similar, from 1.1026 (95% CI, 0.9623-1.2634), 1.122 (95% CI, 0.985-1.278), to 1.0862 (95% CI, 0.9831-1.2). In sum, the relative risks associated with NO 2 are mostly greater than those for SO 2 and PM 10 , in all but lag1 period (Table A4).

Discussion
This study is based on a two-way fixed-effects model and panel data from ten large Chinese cities during 2006 to 2013 to examine the association between ambient air pollution and NPC incidence. Several confounding factors, including levels of education popularization, levels of medical treatment, levels of urban greening, consumption of tobacco and alcohol per capita, disposable income per capita, second industrial development, and meteorological conditions are adjusted for. By applying individual fixed-effects and time fixed-effects, we are able to control for most potential confounding factors that cannot be adjusted for in time-series and cross-sectional models, such as percentage of smokers, demographic structure, dietary habits, epidemic and virus status, and nationwide policies [17].
The analysis shows that ambient air pollution, particularly from NO 2 , is strongly associated with NPC incidence in China. For every 1% increase in NO 2 concentrations, the overall NPC incidence increases by at least 1.706%, and the overall NPC incidence growth rate increases by at least 5.598%. These findings are consistent with previous studies who reported that NO 2 displayed the strongest association with NPC incidence, or CBD (Cerebrovascular Disease) and CVD (Cardiovascular Disease) mortality, as compared to SO 2 and PM 10 [2,15]. The harmful effect of indoor air pollution can support our finding from another perspective: An increased NPC risk has been found associated with daily incense burning (Adjusted OR = 2.49, 95% CI: 1.33-4.66) in women, and the adjusted OR for daily burning with good ventilation (1.35, 95% CI: 0.92-1.98) is much lower than that with poor ventilation (2.08, 95% CI: 1.02-4.24) [45]. Moreover, compared with non-users, frequent wood fuel use is also associated with NPC risk (OR 1.95, 95% CI, 1.65-2.31) [46]. Because only few previous studies examine the relationship between ambient air pollution and NPC, this empirical study enriches the relevant literature and demonstrates new mechanisms underlying NPC pathogenesis [14].
Analysis of sex differences sheds light on the reasons for the marked sex difference in NPC incidence in China and the rest of the world [47,48]. The model estimation results indicate that NO 2 has a significantly greater effect on men than on women. The NPC incidence and incidence growth rate for males are 6.97 and 1.09 times those of females (Table 2), respectively, perhaps because of physiological differences between sexes [17,18]. Significant gender differences in risk of NPC has also been found in passive smoking in previous research [49].
In our analysis of the long-term relationship, the model result shows that NO 2 in the lag2 and lag3 period, as well as SO 2 and PM 10 in the lag1 and lag2 period, have a significant positive association with NPC incidence (Table 2). These findings indicate that exposure to air pollution even three years ago still has significant positive effects on NPC incidence in the current year [20]. As for the cumulative health effect of a 10 µg/m 3 increase in NO 2 concentration for the successive four periods, the relative risks for NPC are respectively 3.5187 (95% CI, 1.2479-9.9215) for males, 1.2742 (95% CI, 0.7161-2.2696) for females, and 1.8836 (95% CI, 1.2416-2.8577) overall, higher than that of SO 2 and PM 10 .
Intriguingly, we are surprised by the finding that humidity, higher in southern cities, is strongly positively associated with NPC incidence and its growth rate (Table A1). This suggests that air humidity may be another important factor affecting the nasopharynx, possibly because in moist air, PM 2.5 and PM 10 particles generate more toxic reactive oxygen species through combination with water molecules [50], and so did nitrogen dioxide through similar mechanisms [51]. It is suggested that people should not stay outside for too long on foggy days with heavy air pollution. Future molecular chemistry studies should attempt to explain the role of humidity in NPC incidence. Moreover, by adding an interaction term, we do note that the effect of nitrogen dioxide on NPC incidence is significantly greater in southern cities than in northern cities, which may be explained by the higher humidity in southern cities.
According to the latest nitrogen dioxide map released by European Space Agency on December, 2019, nitrogen dioxide levels over most areas of China, such as the Beijing-Tianjin-Hebei Region, Yangtze River Delta, and Pearl River Delta, was much beyond 100 µmol/m 2 , more serious than that of neighboring countries [52], and highly likely imposing negative health effects on the human body [36]. In densely populated urban areas in China, vehicle exhaust is an important source of NOx, besides industrial waste gas. The current study suggests that NO 2 may be potential pathogenic factors of NPC: Thus, to ensure public health, regulators must implement restrictive policies to control industrial and automobile exhaust emissions, encourage use of clean energy, and promote popularization of new-energy vehicles to reduce ambient air pollution levels [53,54]. Moreover, the Chinese government should stick to the emission abatement strategy to improve the environmental health [37].
This study has limitations that warrant considerations. First, we only consider the long-term health effects of air pollution across a span of four years. However, future research should use longer delays of air pollution in panel data models to systematically examine the patterns of long-term health effects of ambient air pollution. Second, data of ozone, which is toxic to humans, could not be obtained because of data limitations; however, this does not affect the statistical power of our estimates. Third, although the individual fixed-effects and time fixed-effects capture specific urban characteristics that do not change or change slowly and synchronized changes in all cities over time, they cannot be used to control for factors that change asynchronously across cities, such as the rate of breathing mask use, which may lead to underestimation of the harmful effect of PM 10 on NPC incidence, but the missing variable would not influence the effect estimation of NO 2 or SO 2 , as both air pollutants can still penetrate through breathing masks. Fourth, we do not consider the health effects of indoor air pollution. If people prefer to stay at home because of severe ambient air pollution, the health impact of ambient air pollution might be underestimated [17]. Finally, future empirical studies should include more medium-sized cities, to improve the external validity of the conclusions.

Conclusions
Ambient air pollution is strongly positively associated with NPC incidence in ten large Chinese cities across a long period. The effect of NO 2 on NPC incidence is stronger in men than in women, which suggests that men are more sensitive to NO 2 . In addition, through as of yet unidentified mechanisms, humidity may increase the harmful effects of air pollution on NPC incidence, which are greater in southern (more humid) cities than in northern cities. Larger panel studies including medium-sized cities and longer periods, and spatial-temporal studies would likely yield additional useful information.
Author Contributions: T.Y., J.D. and Y.L. originated and designed the study. T.Y., Y.L., W.Z., Z.C. and J.D. implemented the analysis, prepared the database, and conducted the quality assurance, interpretation of the results, and revision of the manuscript. T.Y. and Y.L. wrote the paper. All authors reviewed the paper and provided significant feedback. All authors have read and agreed to the published version of the manuscript.

Conflicts of Interest:
The authors declare no conflict of interest. Table A1. Association between air pollution and NPC incidence and NPC incidence growth rate (Estimation result of control variables).    Note: * p < 0.1, ** p < 0.05, *** p < 0.01. Table A4. Sensitivity analysis of relative risks (95% CI) of NPC incidence associated with a 10 µg/m 3 increase in air pollutant concentration, adjusted only for meteorological variables with or without lagged terms. Note: * p < 0.1, ** p < 0.05.