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Preliminary Analysis
A thorough preliminary analysis of the data is a fundamental prerequisite for robust econometric modeling, as it establishes the essential characteristics and behavior of the underlying variables. This stage involves examining descriptive statistics to understand central tendencies, dispersion, and normality, while graphical inspections such as box plots and growth rate trends provide critical visual insights into the distribution, variability, and temporal evolution of the series. This foundational step is crucial for identifying potential outliers, understanding the scale of variables, and forming initial hypotheses about relationships, thereby informing the appropriate selection of subsequent econometric techniques and guarding against spurious results derived from misunderstood data properties.
Table 1 descriptive analysis and correlation are examined in this research. According to Jarque-Bera statistics, to environmental impact, increase in the travel sector, electricity use, economic expansion, trade openness, and direct foreign investment are all divided evenly. The findings demonstrate that the carbon impact has a mean value of 11.82, a range of 11.34 to 12.21, and no significant variations. GDP and JV are the variables that vary the most, with an average figure of 4.13 and 1.21, a minimal figure of 1.01 and 0.37, and the highest values of 7.54 and 3.67, respectively. However, there aren't any more significant variations in the growth of the tourist industry, commerce, or energy utilization during the period of investigation. Last but not least, over the observation time frame, commerce and power utilization do not exhibit those kinds of differences from mean values.
Table 2 offers a focused perspective of the growth rates of the annual percentage change of key variables, including Environmental Footprint (EF), Tourism & Travel (T&T), Gross Domestic Product (GDP), Energy Usage (EU), Carbon Impact, Visitor Percentage, and Tourism Revenue every four years. It presents a snapshot of the patterns of the trends in these variables across four-year differences. In so doing, it reveals the way in which the rates were changing across different periods. The fluctuating rates, from positive to negative and back again reflect the dynamic nature of China's environmental, economic, and tourism sectors and the way in which the direction of the country's trajectory changed over time. As this periodic perspective reveals, the changes of growth and decline occurred at regular intervals, punctuating the overall rates and identifying moments of growth or decline that were taking place throughout this study's timeframe.
Figure 1 shows vertical box plots display the median, quartiles, and variability of Environmental Footprint (EF), GDP, Tourism & Travel (T&T), and Energy Use (EU) in China over the sample period.
Figure 2 shows the horizontal box plots that visualize the spread, central tendency, and potential outliers for Environmental Footprint (EF), GDP, Tourism & Travel (T&T), and Energy Use (EU) in China across the study period.
Econometric methodology and pre-testing
The validity of any time-series analysis hinges on rigorous pre-testing to ensure the data meets the necessary statistical assumptions, thereby preventing misleading inferences. This phase involves conducting unit root tests, such as the Zivot and Andrews test, to determine the stationarity properties of the variables and account for potential structural breaks a vital step to avoid the pitfalls of spurious regression. Following this, cointegration testing via the ARDL bounds approach and complementary methods is employed to ascertain the existence of a stable long-run equilibrium relationship among the variables, which is a mandatory condition for estimating meaningful long-run coefficients. These diagnostic procedures collectively validate the chosen Autoregressive Distributed Lag (ARDL) framework as the appropriate and robust methodology for investigating the dynamic interplay between tourism, economic growth, and environmental footprint in China.
Table 3 reveals the diverse metrics across six Chinese regions. North China has a moderately low EF (15.49) but an enormous energy usage (1667.24) and GDP (6976.31). South China possesses the maximum EF (17.15), while also leading tourism & travel (9.13), and GDP (9479.18), indicating a degree of correlation between economic activity and environmental impact. East China and West China both found themselves with metaphorical middle-ground EFs (16.03 and 15.45, respectively), but diverged notably in GDP and energy usage, East China with a lower GDP (3497.25) but higher energy usage (1967.93). Central China was in possession of the lowest EF (14.24), but also in possession of the lowest GDP (3141.53), a differing economic-environmental dynamic. Northeast China's EF (16.46) is sandwiched between moderate to high values across all categories, with Tourism & Travel (7.3), and GDP (8828.34) being noteworthy examples. The numerical variation within these categories speaks to the uniqueness of environmental and economic profiles, and in turn the complexity of regional development and environmental impact, in China
Table 4 presents the results of the Zivot and Andrews unit root test, which assesses the stationarity of the variables while accounting for a single endogenously determined structural break. The findings indicate that at levels, the variables for Tourism & Tourism-squared (T&T, T&T2), Open Trade (OT), and Joint Ventures (JV) are stationary, as their t-statistics are significant at the 5% level, with structural breaks identified between 2003 and 2007. However, the Environmental Footprint (EF), GDP, and Energy Use (EU) series are non-stationary at levels. When these variables are transformed into first differences, EF, EU, and JV become stationary, confirming they are integrated of order one, I(1). This mixed order of integration justifies the use of a cointegration approach that is robust to structural breaks for subsequent analysis.
Figure 3 shows the four-panel time series plot illustrates the historical trajectories of Environmental Footprint (EF), GDP, Tourism & Travel (T&T), and Energy Use (EU), highlighting their co-movement and growth patterns over three decades.
Table 5 presents the outcomes of the bounds testing procedure for cointegration within an ARDL framework. The results confirm the existence of a significant long-run cointegrating relationship in all seven models where a different variable is specified as the dependent variable. This is evidenced by the computed F-statistics for each model, which exceed the upper-bound critical value at the 1%, 5%, or 10% significance levels. The selected ARDL lag structures, which vary across models, indicate different short-run dynamic adjustments among the variables. These robust findings validate the presence of a stable long-run equilibrium relationship between the environmental footprint (EF), travel and tourism (T&T), economic growth (GDP), energy use (EU), open trade (OT), and joint ventures (JV), forming a solid foundation for estimating long-run coefficients.
Table 6 discusses all the descriptive statistics and various tests. The Engle-Granger Johansen (EG-JO) test results in a T-statistic of 20.297 which exceeds the 5% critical value of 10.420, indicating there is cointegration among the variables. As well, using the Boswijk-Ben and Banerjee (BO-BDM) test along with the EG-JO produces a T-statistic of 21.002 which is above the 5% critical value of 19.888, which again indicates cointegration with the variables. These results imply that the variables in question are highly related and potentially in long-run equilibrium.
Figure 4 shows scatter plots illustrating the relationships between Environmental Footprint (EF) and Gross Domestic Product (GDP), and between Tourism & Travel (T&T) and Energy Usage (EU). Each plot includes a fitted regression line to highlight overall trends. The EF GDP plot suggests a slight positive association, while the T&T EU plot shows a weak, nearly flat relationship. These visuals help assess the strength and direction of correlations among the variables.
Long-run results of ARDL
The ARDL long-run results are presented in and they demonstrate that tourism and travel in China contribute to environmental deterioration as their GDP contributions rise along with the nation's environmental cost. According to the results, a rise in tourism and travel spending of 1% would result in an almost 2.3% increment in CO2 emission spending.
Table 7, the long-run analysis confirms a statistically significant inverted U-shaped relationship between travel and tourism (T&T) and the environmental footprint, thereby validating the Environmental Kuznets Curve (EKC) hypothesis for China. The positive coefficient for T&T and the negative coefficient for T&T² indicate that tourism initially increases environmental degradation, but after reaching a calculated turning point, it begins to reduce it. Furthermore, economic growth (GDP) and energy use (EU) significantly increase the environmental footprint, while open trade (OT) appears to reduce it. Joint ventures (JV) have a smaller but statistically significant positive impact, supporting the pollution haven hypothesis. The model is robust, with a good fit (R² = 0.67) and no issues of non-normality or heteroscedasticity.
Short-term outcomes of ARDL
According to Table 6's findings for the short term, traveling and tourism have a negligible effect on the nation's environmental footprint. On the contrary, travel and tourism as a whole could have a very positive effect on China's environmental footprint. This demonstrates that China's tourism industry is environmentally friendly, as evidenced by its resistance to local pollution growth. There is evidence that, even in the short term, increasing tourist industry operations and making them almost twice as large would then enhance the ecosystem and promote economic development that is self-sustaining. The report's outcomes are in line with some research and the pioneering literature that holds that tourist numbers have a viable connection to the environment.
In Table 8, the dynamic adjustments of the variables are captured alongside the crucial error correction mechanism. The highly significant and negative coefficient of the CointEq(-1) term (-0.927) confirms a rapid speed of adjustment back to long-run equilibrium following a short-run shock, with approximately 93% of any disequilibrium being corrected within one period. In the short run, the one-period lag of tourism-squared (D(T&T^2)(-1)) and economic growth (D(GDP)) exhibit a significant positive pressure on environmental degradation. Similarly, both current and lagged energy use (D(EU) and D(EU)(-1)) significantly increase the environmental footprint. Open trade (D(OT)) shows a significant short-run benefit by reducing the footprint, while joint ventures (D(JV)) significantly worsen it, providing immediate support for the pollution haven hypothesis.
Toda-Yamamoto causation test outcomes
To avoid biased estimates from potential mixed order of integration I(0) and I(1), this study employs the Toda-Yamamoto (T-Y) approach to Granger non-causality55.The test is applied within a VAR model where the optimal lag length (*k*) is determined by information criteria (e.g., AIC), and the maximal order of integration (d_max) is added to ensure robustness. Causality is tested using a standard Wald test (χ² statistic) for the first *k* lags of the hypothesized causal variable. A p-value below the 0.05 significance threshold leads to the rejection of the null hypothesis of non-causality, confirming a statistically significant Granger-causal relationship. The T-Y results reveal a bidirectional causality between China's environmental footprint (EF) and energy use (EU), and between EF and tourism & travel (T&T). This indicates a feedback loop where changes in these variables significantly influence each other. A unidirectional causality runs from joint venture (JV) inflows to EF (p < 0.05), supporting the pollution haven hypothesis, but not vice-versa. In contrast, no significant short-run causality was found between open trade (OT) and EF at the 5% threshold, suggesting trade's environmental impact is channeled through longer-term equilibria. These findings clarify the immediate dynamic interactions that underpin the long-run cointegrating relationships established earlier.
Table 9 shows the counterfactual analysis of policy changes from 2005 to 2018, presented in Table 9, reveals distinct trade-offs between economic and environmental objectives. The impact estimates were generated by applying the calibrated Autoregressive Distributed Lag (ARDL) model to simulate a baseline "no-policy" scenario for each variable. The percentage impacts reflect the model-derived average annual difference between this simulated baseline and the actual observed data following each policy's implementation, isolating the effect of the policy shock. The results show that stringent environmental regulations, such as the Carbon Emission Regulation and Green Energy Transition (2018), were most effective in reducing the environmental footprint (EF) and energy use (EU), with EF reductions of 8% and 7% respectively. However, these policies were associated with slight short-term declines in GDP and tourism (T&T), highlighting a potential cost to economic growth. In contrast, growth-oriented policies like the Economic Stimulus Plan (2008) and Tourism Development Initiative (2010) successfully boosted GDP and visitor numbers but had modest or negative impacts on environmental indicators. Crucially, policies such as the Renewable Energy Incentive Program and the National Ecotourism Plan demonstrate a more synergistic outcome, stimulating economic and tourism growth while simultaneously reducing environmental pressures. This suggests a viable pathway for decoupling development from environmental degradation when policies are designed to align incentives across sectors.
In Table 10, a network of significant causal relationships between the variables is identified. Most notably, a strong bidirectional causality exists between the environmental footprint (EF) and travel & tourism (T&T), confirming their interdependent relationship. Furthermore, unidirectional causality runs from energy use (EU) and open trade (OT) to EF, identifying them as drivers of environmental degradation. The results also reveal a tourism-led growth dynamic, as T&T causes economic growth (GDP), but not vice versa. Finally, a bidirectional causal link is found between T&T and joint ventures (JV), and between T&T and OT, highlighting the interconnected nature of tourism, investment, and trade. The error correction term is insignificant across all models, indicating that the captured causalities are primarily short-run in nature.
Figure 5 shows a heat map illustrating the Toda Yamamoto causation test outcomes across key variables, including EF, GDP, T&T, EU, Carbon Impact, and Sector Percentage. Higher intensity values indicate a stronger causal influence from the row variable to the column variable. This visualization highlights asymmetries in causal relationships and helps identify which factors exert the greatest directional impact.
Figure 6 shows that CUSUM plot displaying the stability of model parameters over time, with the cumulative sum of recursive residuals shown against the 5% significance bounds. The CUSUM line remaining within the confidence limits indicates parameter stability and absence of structural breaks. This visual test helps assess the robustness and reliability of the estimated model.
Figure 7 shows the CUSUM of Squares plot, illustrating the cumulative sum of squared recursive residuals relative to the 5% significance bounds. The movement of the curve within the confidence limits suggests stability in the variance of the model parameters over time. This diagnostic test helps detect potential structural changes affecting model consistency.
Table 11 has a detailed projection on changes with both curves forecasted In the five years from 2021 to 2025. As these statistics suggest, it future dynamics of environmental variables, economic factors and criminal laws will all be affected in China. The Environmental Footprint (EF) is forecast to grow steadily at 2.22% and the Tourism & Travel (T&T) sector by 2.68%, indicators of a consistent trend toward increasingly greater negative environmental impacts in both industries. Gross Domestic Product (GDP ) is predicted to grow with a robust 4.90% a year Chinese GDP will continue on its upward course. Energy Usage (EU) is expected to grow at 4.49%, indicating a steady rise in energy consumption. More notably, the Carbon Impact displays greater variation in this element, ranging from 2.04% to 5.26%! What this points out is that the carbon emissions environmental impact is particularly uneven. Visitor Percentage, which reflects the fluctuation of tourism dynamics, also has variations in forecasted growth rates. This in fact ranges from a base figure of 1.69% right on up to 4.72%. This fluctuation might be due to changing trends in global and domestic tourism, affected by policy changes, economic conditions and environmental awareness. Tourism Revenue is another important indicator for the tourism industry, forecast to vary between 1.36% and 2.69%. The economic benefits earned from tourism activities will continue to shift.
DATA AVAILABILITY
The datasets used in this study were taken from publicly available sources. The annual time-series data for China (1990-2023) can be accessed and downloaded from the following repositories to ensure full transparency and replicability: Environmental Footprint (EF): Global Footprint Network Data Platform (https://data.footprintnetwork.org). Tourism & Travel (% of GDP), GDP, Energy Use, Joint Venture (FDI), Open Trade: The World Bank's World Development Indicators (https://databank.worldbank.org/source/world-development-indicators). And Supplementary Tourism Data: National Bureau of Statistics of China (http://www.stats.gov.cn/english/).

Figure 1: Vertical Box Plots Illustrating the Distribution of EF, GDP, T&T, and EU in China (1990-2020). Please click here to view a larger version of this figure.

Figure 2: Horizontal box plots depicting the variability of EF, GDP, T&T, and EU in China (1990-2020). Please click here to view a larger version of this figure.

Figure 3: Time Series Analysis of Environmental Footprint, GDP, Tourism & Travel, and Energy Usage in China (1990-2020). Please click here to view a larger version of this figure.

Figure 4: Scatter Plots with Regression Lines Examining Relationships Between EF, GDP, T&T, and EU. Please click here to view a larger version of this figure.

Figure 5: The heat map of Toda-Yamamoto causation outcomes. Please click here to view a larger version of this figure.

Figure 6: C.U.S.U.M plot. Please click here to view a larger version of this figure.

Figure 7: C.U.S.U.M. Squared. Please click here to view a larger version of this figure.
Table 1: Descriptive statistics Please click here to download this Table.
Table 2: Comprehensive Annual Growth Rates of Key Variables (1990-2020) Please click here to download this Table.
Table 3: Comparative Analysis Across Different Chinese Regions. Please click here to download this Table.
Table 4: Test Analysis of Zivot and Andrews Please click here to download this Table.
Table 5: Bounds testing outcomes Please click here to download this Table.
Table 6: Correlation outcome. Please click here to download this Table.
Table 7: Long-term variables. Please click here to download this Table.
Table 8: Short-run results. Please click here to download this Table.
Table 9: Policy Changes and Their Impacts on Key Variables. Please click here to download this Table.
Table 10: Toda Yamamoto causation outcomes. Please click here to download this Table.
Table 11: Forecasting of Future Trends for Key Variables (2021-2025). Please click here to download this Table.