Large divergence of satellite and Earth system model estimates of global terrestrial CO 2 fertilization

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Large divergence of satellite and Earth system model estimates of global terrestrial CO 2 fertilization 4 5 W. Kolby Smith 1,2, Sasha C. Reed 3, Cory C. Cleveland 1, Ashley P. Ballantyne 1, William R.L. Anderegg 4, William R. Wieder 5,6, Yi Y. Liu 7, Steven W. Running 1 6 7 8 9 10 11 12 13 1 Department of Ecosystem and Conservation Sciences, University of Montana, Missoula, MT, USA; 2 Institute on the Environment, University of Minnesota, St. Paul, MN, USA; 3 Southwest Biological Science Center, U.S. Geological Survey, Moab, Utah, USA; 4 Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ, USA; 5 National Center for Atmospheric Research, Boulder, CO, USA; 6 Institute for Arctic and Alpine Research, Boulder, CO, USA; 7 ARC Centre of Excellence for Climate Systems Science & Climate Change Research Centre, University of New South Wales, Sydney, Australia. 14 15 Corresponding Author Email: wkolby@gmail.com NATURE CLIMATE CHANGE www.nature.com/natureclimatechange 1

16 17 Supplementary Table 1. CMIP5 model centers, identification numbers, and names. Modelling Center Institute ID Model Name Beijing Climate Center, China Meteorological Administration BCC BCC-CSM1-1 Community Earth System Model NSF-DOE- Contributors NCAR CESM1-BGC Met Office Hadley Centre MOHC Had-GEM2-ES Institut Pierre-Simon Laplace IPSL IPSL-CM5A-MR NOAA Geophysical Fluid Dynamics Laboratory NOAA GFDL GFDL-ESM2M 2 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange

SUPPLEMENTARY INFORMATION 18 19 Supplementary Table 2. Characteristics of the Free-Air CO2 Enrichment (FACE) experimental sites. Latitude Longitude MAT ( C) MAP (mm) Available NPP data Elevated CO2 (ppm) Aspen 1 45 40 N 89 37 W 4.9 810 2001-2003 580 Duke 1 35 58 N 79 05 W 15.5 1140 1996-2007 580 ORNL 1 35 54 N 84 20 W 14.2 1390 1998-2008 550 Pop-Euro 1 42 22 N 11 48 E 14.1 818 2000-2001 550 BioCON 2 45 N 93 W 10.3 660 1998-1999 560 PHACE 2 41 11 N 104 54 W 7.5 384 2006-2009 600 20 1 Forest FACE sites (see ref. 12 and ref. 14); 2 Non-forest Face sites (see ref. 13 and ref. 15) NATURE CLIMATE CHANGE www.nature.com/natureclimatechange 3

21 22 23 24 Supplementary Figure 1. Temporal changes in NPP for each CMIP5 model considered. a. CMIP5CO2+CLIM NPP. b. CMIP5CLIM NPP. The change in NPP (1960-2011) for individual CMIP5 models (light lines) and the ensemble mean (heavy line) are shown. The CMIP5 model that considered nutrient constraints (CESM1-BGC) is shown with a dashed line. 25 4 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange

SUPPLEMENTARY INFORMATION 26 27 28 29 30 31 32 33 34 35 Supplementary Figure 2. Terrestrial net primary productivity (NPP) trends across climatic zones. a. Climate zones boundaries defined according to Köppen-Geiger climate classification. The NPP anomaly across b. tropical, c. temperate, d. cold, and e. arid climate zones. Lines represent linear trends while shading indicates uncertainty (± 1σ) due to among-model variability for CMIP5 and model parameterization for satellite estimates. Box and whisker plots (right panels) show the distribution of estimates for the full time period. For comparison, the CMIP5 model that considered nutrient constraints (dashed green line; green circle), Flux MTE (dashed red line; red diamond), satellite FPAR (dashed cyan line; cyan circle), and satellite VOD (dashed purple line; purple square) are shown separately. Letters indicate statistically significant differences in distributions at α = 0.05. 36 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange 5

37 38 39 40 41 42 43 44 45 46 47 48 Supplementary Figure 3. Terrestrial net primary productivity (NPP) trends by biome type. a. Biome classifications defined according to the MODIS collection 5 global land-cover classification and the Köppen-Geiger climate classification. The NPP anomaly across b. northern hemisphere evergreen forest, c. northern hemisphere deciduous forest, d. temperate grassland, e. arid grassland, f. temperate shrubland, and g. arid shrubland biomes. Lines represent linear trends while shading indicates uncertainty (± 1σ) due to among-model variability for CMIP5 and model parameterization for satellite estimates. Box and whisker plots (right panels), show the distribution of estimates for the full time period. For comparison, the CMIP5 model that considered nutrient constraints (dashed green line; green circle), Flux MTE (dashed red line; red diamond), satellite FPAR (dashed cyan line; cyan circle), and satellite VOD (dashed purple line; purple square) are shown separately. Letters indicate statistically significant differences in distributions at α = 0.05. 49 6 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange

SUPPLEMENTARY INFORMATION 50 51 52 53 54 55 Supplementary Figure 4. Vapor pressure deficit (VPD) and minimum temperature (TMIN) trends across long-term climate zones. The TMIN (a.-d.) and VPD (e.-h.) anomaly across tropical, temperate, cold, and arid climate zones. Lines represent linear trends while shading indicates uncertainty (± 1σ) due to among-model variability for CMIP5 and model parameterization for satellite estimates. Box and whisker plots (right panels), show the distribution of estimates for the full time period. For comparison, the CMIP5 model that considered nutrient constraints (dashed green line; green circle) is shown separately. Letters indicate statistically significant differences in distributions at α = 0.05. 56 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange 7

57 58 59 60 61 62 63 Supplementary Figure 5. Spatial and latitudinal correlation between terrestrial net primary productivity (NPP) and minimum temperature (TMIN) from 1982 to 2011. a. CMIP5CO2+CLIM, b. CMIP5CLIM, and c. satellite estimates. In the latitudinal plots (right panels), shading indicates uncertainty (± 1σ) due to among-model variability for CMIP5 and model parameterization for satellite estimates. For comparison, the CMIP5 model that considered nutrient constraints (CESM1-BGC; top panel, dashed line), satellite VOD (bottom panel, dotted line), and satellite FPAR (bottom panel, dashed line) are shown separately. 64 8 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange

SUPPLEMENTARY INFORMATION 65 66 67 68 69 70 71 Supplementary Figure 6. Spatial and latitudinal correlation between terrestrial net primary productivity (NPP) and vapor pressure deficit (VPD) from 1982 to 2011 a. CMIP5CO2+CLIM, b. CMIP5CLIM, and c. satellite estimates. In the latitudinal plots (right panels), shading indicates uncertainty (± 1σ) due to among-model variability for CMIP5 and model parameterization for satellite estimates. For comparison, the CMIP5 model that considered nutrient constraints (CESM1-BGC; top panel, dashed line), satellite VOD (bottom panel, dotted line), and satellite FPAR (bottom panel, dashed line) are shown separately. 72 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange 9

73 74 75 76 77 78 79 Supplementary Figure 7. Change in the sensitivity of CMIP5 terrestrial net primary productivity (NPP) to vapor pressure deficit (VPD) and change in the variance of NPP and VPD from 1982 to 2011. a.-c. Tropical, d.-f. temperate, g.-i. cold, and j.-l. arid climatic zones. The change in the sensitivity of NPP to VPD was calculated as the unit change in NPP per unit change in VPD using a 10-year sliding window. The change in the variance of NPP and VPD was also calculated using a 10-year sliding window. Lines represent linear trends while shading indicates uncertainty (± 1σ) due to among-model variability. 80 10 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange

SUPPLEMENTARY INFORMATION 81 82 83 84 85 86 87 88 89 Supplementary Figure 8. Change in the sensitivity of satellite-derived terrestrial net primary productivity (NPP) to vapor pressure deficit (VPD) and change in the variance of NPP and VPD across climate zones from 1982 to 2011. a.-c. Tropical, d.-f. temperate, g.-i. cold, and j.-l. arid climatic zones. The change in the sensitivity of NPP to VPD was calculated as the unit change in NPP per unit change in VPD using a 10-year sliding window. The change in the variance of NPP and VPD was also calculated using a 10-year sliding window. Lines represent linear trends while shading indicates uncertainty (± 1σ) due to among-model variability. For comparison, the change in sensitivity of FPAR to VPD (cyan lines) is shown separately. 90 NATURE CLIMATE CHANGE www.nature.com/natureclimatechange 11