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Figure S1. Comparison of carbon flux (Gross Primary Production (GPP) and Net Biome Productivity (NBP)) response to interannual variations in climate estimated by two approaches.

Figure S2. The magnitude of regional Gross Primary Production (GPP) during 1982–2008 estimated by the 10 carbon cycle models and a data driven model tree ensemble approach (JU11, Jung et al., 2011) and Net Biome Productivity (NBP) during 1980–2009 estimated by the 10 carbon cycle models during 1980–2009 over four different regions.

Figure S3. Cumulative frequency distribution for Gross Primary Production (GPP) during 1982–2008.

Figure S4. Correlation matrix displaying correlation coefficient between pairs of detrended anomalies of regional Gross Primary Production (GPP) during 1982–2008.

Figure S5. Correlation matrix displaying correlation coefficient between pairs of detrended anomalies of regional Net Biome Productivity (NBP) during 1980–2009.

Figure S6. The response of regional Gross Primary Production (GPP) and regional Net Biome Production (NBP) to interannual variation in temperature and interannual variation in precipitation during 1982–2008 over four different regions.

Figure S7. The response of regional Gross Primary Production (GPP) and regional Net Biome Production (NBP) to interannual variation in precipitation and interannual variation in precipitation during 1982–2008 over four different regions.

Figure S8. Comparison of (a) the response of global Net Biome Productivity (NBP) to interannual variations in temperature and the response of the sum in NBP and fire emission to interannual variations in temperature, (b) the response of global NBP to interannual variations in precipitation and the response of the sum in NBP and fire emission to interannual variations in precipitation.

Figure S9. The response of regional Gross Primary Production (GPP) to rising atmospheric CO2 concentration during 1982–2008 over four different regions.

Figure S10. The response of regional Net Biome Productivity (NBP) to rising atmospheric CO2 concentration during 1980–2009 over different regions.

Table S1. Ten carbon cycle models used in this study.

Table S2. Characteristics of warming experiment sites in this study.

Table S3. Site characteristics of FACE experiment sites in this study.

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