Data sources. This study necessitates the integration of data and methodologies from diverse sources and scientific disciplines. We utilize global military expenditure from the Stockholm International Peace Research Institute[18] and global GDP[19] (USD at constant 2015 prices) from 1995 to 2021 to obtain the global military expenditure as a percentage of GDP. CO2 emission intensity (kg/USD) during 1995 and 2021 is computed by dividing historic anthropogenic CO2 emissions (from fossil fuels and industry, excluding land-use change) sourced from[20, 21] by global GDP[22] (USD in constant 2017 of PPP). Annual anthropogenic CO2 emissions for five SSP scenarios during 2015–2100 are derived from data in Figures SPM.4 and SPM.10 (v20210809)[1, 23, 24]. Global surface temperature changes since 1850–1900 for five SSPs during 2015–2099 are obtained from data in Figure SPM.8 (v20210809) in IPCC AR6[1, 25]. Global GDP projections (USD in constant 2010 of PPP) for the five SSPs are provided by Jiang et al.[26]
Quantification of the relationship between military expenditure ratio and CO2 emission intensity. We use the historic data from 1995 to 2021 to quantify the relationship between CO2 emission intensity and global military expenditure ratio. The CO2 emission intensity time series was linearly detrended before analysis. Acknowledging the potential noncontemporaneous effects of the global military expenditure ratio on CO2 emission intensity, we compute their lagged Pearson correlation coefficients (Extended Data Table 1). This analysis reveals that the military expenditure ratio of the current year significantly influences CO2 emission intensity for the current and subsequent two years. Consequently, we use the ratios of correlation coefficients with lags of 0, 1, and 2 years as weights for the current and preceding two years to calculate the three-year weighted averages of the global military expenditure ratio. These three-year weighted average ratios serve as explanatory variables, and the detrended CO2 intensity as the dependent variable, in constructing our linear regression model (Fig. 1b; Eq. 1).
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)
Significance analysis. The time series of detrended CO2 emission intensity and the weighted global military expenditure ratio from 1995 to 2021 conform to a normal distribution (Extended Data Fig. 6). Therefore, we employ Student’s t-test to assess the statistical significance of the correlation coefficient between these two series. The effective sample size of the N years of data is calculated using Eq. 2.1[27], accounting for their temporal correlation. The 95% confidence interval (CI) of the regression coefficient (m) was determined using Equation 2.2.
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)
Quantification of the relationship between CO2 emissions and GST changes. The IPCC AR6 exhibits a near-linear relationship between cumulative CO2 emissions and the increase in GST, as the transient climate response (TCRE) to cumulative CO2 emissions remains constant. This relationship holds true during periods of net positive global CO2 emissions; however, there is limited evidence for the quantitative application of TCRE to estimate temperature evolution under conditions of net negative CO2 emissions[24]. Both the SSP1-1.9 and SSP1-2.6 scenarios anticipate net negative annual CO2 emissions after 2050, rendering the linear relationship inapplicable. Consequently, we estimated the evolution of GST changes by constructing a relationship between annual CO2 emissions and the annual change in GST increase using polynomial fitting for the five SSPs (Extended Data Fig. 5).
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19. USD at constant 2015 prices. World Bank. Retrieved from https://data.worldbank.org/indicator/NY.GDP.MKTP.KD.
20. Friedlingstein, P. et al., Global Carbon Budget 2023. Earth Syst. Sci. Data, 15, 5301-5369, https://doi.org/10.5194/essd-15-5301-2023, 2023.
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