Brett M. Raczka 1 Appendices 2 Table A1. Differences in simulation setup between site-level and regional-level crossover models. Crossover Models1 Radiation site Temperature regional site regional Vegetation site regional BEPS site obs NCEP site obs NCEP site obs GLC2000 CLM-CN site obs NCEP site obs NCEP site obs MODIS CAN-IBIS site obs CFS spatial data DLEM site obs NARR ISAM LPJ-wsl ORCHIDEE N/A CRU05 (cloud cover site obs (LW and derived LW and SW SW radiation) radiation) site obs CRU, NCEP CFS spatial data Spatial Resolution Disturbance site Site Synthesis ancillary data files Site Synthesis ancillary data files regional none site ~ 1 km2 prescribed land use, ~ 1 km2 prognostic fire regional2 site regional carbon pools initialized from observations or similar sites, run from year 1900 ~400 year spinup to initialize carbon pools 0.5o SPIN UP: 1000 year, with pre-industrial CO2, recycle site climate, TRANSIENT: 100 year transient CO2 & recycled site climate (1901-site data) SPIN UP: 1000 year, with preindustrial CO2, recycle 19011930 CRU. TRANSIENT: 106 year transient CO2 with observed CRU 0.5o SPINUP: Looped 1901-1930 climate and 1901 CO2 until SPIN UP: 2000 years, recycled site climate, equilibrium. TRANSIENT: increasing TRANSIENT: 1930 to present CO2 from 1850 onward with changing climate and CO2 1 o 2.8o site obs Dynamic Site Synthesis ancillary data files site obs NARR, PRISM site obs Tian et al. (2010) Site Synthesis ancillary data files prescribed land use ~ 1 km2 32 km Loveland & Belward (1997), Haxeltine & Prentice (1996)3 Site Synthesis ancillary data files prescribed land use ~ 1 km2 1o Dynamic None (no fire, harvest, management, or stand age adjustments) MODIS UMD5 None (no fire, harvest, management, or stand age adjustments) site obs site obs Mitchell et al. site obs 2005 site obs (daily) CRU05 (monthly site obs interpolated (IGBP) to daily) site obs CRU, NCEP site obs 3 prognostic fire prognostic fire crop harvest4 ~ 1 km2 ~ 1 km2 ~ 1 km2 Other 1o 4 1More details of regional model driver data provided in Huntzinger et al. (2012) 5 2Values represent the native (submitted) resolution of the model run. Regional interim synthesis aggregated all regional simulations to a 6 minimum resolution of 1o before analysis was performed. 1 Brett M. Raczka 7 8 9 10 3 11 4 Crop havest assumes 40% biomass is emitted at crop sites. 12 13 5 (http://webmap.ornl.gov/wcsdown/wcsdown.jsp?dg_id=10004_17) to determine the crop areas, (http://glcf.umiacs.umd.edu/data/vcf/) for all other vegetation. Loveland, T.R. and Belward, A.S., 1997. The IGBP-DIS Global 1 km Land Cover Data Set, DISCover First Results. International Journal of Remote Sensing, v. 18, no. 5, p. 3,289-3,295; Haxeltine, A., and I. C. Prentice (1996), BIOME3: An equilibrium terrestrial biosphere model based on ecophysiological constraints, resource availability, and competition among plant functional types, Global Biogeochem. Cycles, 10(4), 693–709, doi:10.1029/96GB02344 14 2 Brett M. Raczka 15 Table A2. Flux biases (model output – observations) for all sites (gC/m2/yr). 16 annual NEE bias %bias BEPS -20 -15 CASA_GFED CASA-Trans CLM-CASA CLM-CN Can-IBIS 138 157 95 116 132 89 115 71 87 85 annual GPP bias %bias 109 10 47 4 - 440 41 -45 -4 annual Re bias %bias 90 10 225 24 - 535 57 71 8 DLEM 145 94 EC-MOD -38 -24 ISAM 110 71 LPJml 93 60 MC1 181 98 1127 103 -121 -11 7 1 - 327 30 - -214 -19 - 1259 134 25 3 31 -3 - 420 45 - -156 -17 - 3 MOD17 NASACASA ORCHIDEE 58 141 11 37 96 7 SIB3 153 99 TEM6 86 79 VEGAS2 All Models 156 99 101 64 666 60 1 0 -357 -36 -337 -31 43 4 677 72 155 16 -271 -30 -181 -19 141 15 Brett M. Raczka 17 Table A3. The overall modeled annual bias (model output-observations) for the 8 regional models using 18 biased shortwave radiation data. ENFT DBF CROP ENFB GRASS MISC All Sites 19 20 1 21 value. 22 * pos neg pos neg pos neg pos neg pos neg pos neg pos neg Bias NEE % 143 99 133 34 208 161 34 -55 72 32 67 3 113 34 77 48 74 20 82 56 93 -162 81 26 83 3 78 24 ∆* 44 99 47 88 40 64 79 Annual Bias1, SW Radiation gC/m2/year GPP Bias % ∆ Bias Re % -459 -447 0 376 77 811 146 499 114 515 299 632 -12 353 -316 -348 133 410 284 971 180 444 186 547 366 634 101 387 -22 -21 13 41 30 101 28 68 39 112 57 93 11 42 -28 -24 0 32 6 65 21 72 20 84 41 81 -1 33 -12 -376 -734 -353 -401 -333 -365 ∆ 33 -277 -687 -265 -361 -269 -285 Bias values are calculated by grouping all model flux data together and calculating one overall bias The ‘Δ’ value is the difference between the model groupings (positive grouping-negative grouping). 4 Brett M. Raczka 23 Table A4. GPP biases for selected regional models that use shortwave radiation products with known 24 biases. Regional Models BEPS CLM-CN DLEM ORCHIDEE 25 26 1 region site Δ region site Δ region site Δ region site Δ ENFT -319 -898 579 -367 -259 -108 -695 -330 -365 3 -171 174 GPP Annual Bias (gC/m2/year) DBF CROP ENFB GRASS MISC All Sites 205 -217 180 176 583 109 57 61 -46 -228 5 -217 148 -277 226 404 578 326 -110 -29 353 -87 234 -45 -379 -188 -288 269 541 243 -123 222 -8 48 221 -121 53 -134 129 67 48 -43 -176 356 -137 -20 174 -78 636 811 1044 850 945 666 501 -1063 447 -17 435 163 134 1873 597 868 510 503 Radiation1 Phenology Photosynthesis Soil Decomp. NCEP Custom LAI EK 1st order, w/N NCEP Prognostic EK 1st order, w/N NARR Prognostic EK 1st order, w/N CRU, NCEP Prognostic EK 1st order, w/N Orange shading indicates positive bias and blue shading negative/neutral bias. 27 5 Brett M. Raczka 28 Table A5. The overall modeled annual bias for all regional models presented by respiration formulation. nitrogen n/nitrog nitrogen DBF n/nitrog nitrogen CROP n/nitrog nitrogen ENFB n/nitrog nitrogen GRASS n/nitrog nitrogen MISC n/nitrog nitrogen All Sites n/nitrog ENFT 29 Bias NEE % 137 168 106 153 192 235 2 8 44 84 41 65 93 125 73 90 59 84 74 86 6 21 50 86 49 79 63 84 Annual Bias, Soil Carbon Decomp Formulation gC/m2/year GPP ∆ Bias % ∆ Bias -31 -47 -42 -5 -40 -24 -32 -471 -406 96 79 260 216 302 345 217 290 434 408 95 99 -28 -25 8 7 22 18 44 50 38 50 59 56 9 9 6 -65 17 44 -43 -72 26 -4 -365 -202 173 230 414 440 305 349 264 366 473 473 165 232 Re % -24 -14 17 23 44 46 47 53 55 75 72 73 18 25 ∆ -163 -56 -26 -45 -102 0 -67 Brett M. Raczka 30 Table A6. Within-site inter-annual correlation for all models. Annual Correlation1, Within Site ENFT DBF CROP ENFB GRASS MISC ALL SITES 31 32 1 NEE GPP Re -0.03 0.05 -0.21 0.20 0.09 0.20 -0.01 -0.01 0.18 -0.15 0.43 0.32 0.23 0.11 0.02 0.14 -0.03 0.42 0.31 0.17 0.10 All site-model years are grouped into a single data set, then correlation is calculated. 7 Brett M. Raczka 33 Table A7. Within-site annual correlation statistics for crossover models only. Within-Site Annual Correlation 1 (R-value) NEE R ENFT DBF CROP ENFB GRASS MISC All Sites 34 35 1 36 * region site region site region site region site region site region site region site 0.05 0.28 0.01 0.19 -0.21 0.70 0.21 0.32 0.20 0.49 0.19 0.15 0.01 0.25 GPP ∆* -0.23 -0.18 -0.91 -0.11 -0.29 0.05 -0.24 Re R -0.06 0.22 0.10 0.52 -0.14 0.53 0.45 0.59 0.41 0.63 0.25 0.43 0.09 0.46 ∆ -0.29 -0.43 -0.68 -0.14 -0.22 -0.18 -0.37 R -0.25 0.18 0.19 0.30 -0.02 0.51 0.43 0.41 0.33 0.57 0.22 0.28 0.03 0.24 ∆ -0.43 -0.12 -0.53 0.02 -0.25 -0.06 -0.21 Correlation values are calculated by grouping all site-model points together. A negative delta value denotes loss of correlation for the regional runs as compared to the site runs. 8 Brett M. Raczka 37 Table A8. Within-site annual correlation grouped by photosynthetic formulation. Annual Correlation1, Photosynthetic Formulation within-site stats NEE GPP Re R ∆ R ∆ R ∆ ENFT DBF CROP ENFB GRASS MISC All Sites 38 39 1 EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE -0.03 0.09 0.06 0.24 -0.21 -0.21 0.20 0.32 0.16 0.06 0.22 0.33 0.00 0.09 -0.12 -0.18 0.00 -0.12 0.10 -0.11 -0.08 0.02 -0.17 0.17 0.25 -0.25 0.09 0.42 0.71 0.31 0.47 0.25 0.48 0.10 0.19 0.19 -0.08 -0.33 -0.29 -0.16 -0.23 -0.08 0.00 -0.04 0.16 0.18 -0.07 0.28 0.41 0.65 0.24 0.64 0.19 0.31 0.08 0.17 0.04 -0.02 -0.34 -0.24 -0.40 -0.12 -0.09 Correlation values are calculated by grouping all site-model points together. 9 Brett M. Raczka 40 Table A9. Across-site annual correlation for all models. Annual Correlation1, Across Site ENFT DBF CROP ENFB GRASS MISC ALL SITES 41 42 1 NEE GPP Re 0.11 0.22 -0.13 -0.05 0.05 0.02 0.18 0.55 0.38 -0.48 -0.03 0.51 0.29 0.36 0.44 0.19 -0.44 -0.02 0.58 0.30 0.29 All site-model years are grouped into a single data set, then correlation is calculated. 10 Brett M. Raczka 43 Table A10. Within site annual variability for all models. Within-Site Annual Variability, Normalized SD1 (σ/σobs) NEE GPP ENFT DBF CROP ENFB GRASS MISC ALL SITES 44 45 1 46 model mean. 0.33 0.51 0.38 2.81 0.90 1.75 0.51 0.51 0.69 0.39 2.39 0.62 0.97 0.63 Re 0.23 0.89 1.00 2.03 0.61 0.91 0.56 The modeled standard deviation is normalized with respect to the observations, and calculated from 47 11 Brett M. Raczka 48 Table A11. Within-site annual variability for crossover models only. Within-Site Annual Variability (σ/σobs) NEE σ ENFT DBF CROP ENFB GRASS MISC All Sites 49 region site region site region site region site region site region site region site 0.31 0.35 0.63 1.08 0.41 0.52 3.49 2.53 0.97 0.89 1.99 1.75 0.63 0.77 GPP ∆ -0.04 -0.45 -0.11 0.95 0.08 0.24 -0.14 Re σ 0.73 0.63 1.00 1.39 0.45 0.80 3.31 1.46 0.68 0.83 1.20 1.04 0.86 0.92 ∆ 0.10 -0.39 -0.35 1.85 -0.15 0.17 -0.06 50 12 σ 0.32 0.34 1.28 1.87 1.19 1.71 2.86 1.86 0.77 0.90 1.29 1.09 0.77 0.93 ∆ -0.02 -0.59 -0.52 1.00 -0.13 0.21 -0.16 Brett M. Raczka 51 Table A12. Within-site annual variability displayed by photosynthetic formulation. Annual Variability (σ/σobs), Photosynthetic Formulation within-site NEE GPP Re σ ∆ σ ∆ σ ∆ ENFT DBF CROP ENFB GRASS MISC All Sites 52 EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE 0.27 0.16 0.59 0.29 0.44 0.15 2.75 1.63 0.84 0.27 0.62 0.23 0.62 0.23 0.11 0.30 0.29 1.12 0.57 0.38 0.38 0.45 0.42 0.66 0.60 0.32 0.30 2.16 1.48 0.50 0.34 1.04 0.49 0.61 0.45 0.03 0.06 0.03 0.67 0.16 0.55 0.16 53 13 0.22 0.18 0.89 0.61 0.91 0.53 1.96 1.39 0.57 0.32 1.06 0.42 0.57 0.36 0.04 0.28 0.39 0.57 0.25 0.64 0.22 Brett M. Raczka 54 Table A13. Within-site annual variability displayed by soil carbon decomposition formulation. Annual Variability (σ/σobs), Soil Carbon Decomp Formulation within-site NEE GPP Re σ ∆ σ ∆ σ ∆ nitrogen n/nitrog nitrogen DBF n/nitrog nitrogen CROP n/nitrog nitrogen ENFB n/nitrog nitrogen GRASS n/nitrog nitrogen MISC n/nitrog nitrogen All Sites n/nitrog ENFT 55 0.27 0.18 0.59 0.27 0.37 0.17 2.35 2.36 1.16 0.31 1.86 0.76 0.58 0.27 0.10 0.33 0.20 0.00 0.85 1.10 0.31 0.43 0.47 0.74 0.56 0.41 0.24 2.06 2.21 0.55 0.36 1.13 0.76 0.67 0.51 -0.04 0.18 0.17 -0.15 0.19 0.37 0.16 56 14 0.20 0.21 1.01 0.68 1.11 0.52 2.16 1.65 0.69 0.37 1.16 0.70 0.64 0.41 -0.01 0.33 0.59 0.51 0.31 0.46 0.22 Brett M. Raczka 57 Table A14. Across-site annual variability for all models. Across-Site Annual Variability, Normalized SD1 (σ/σobs) NEE GPP Re ENFT DBF CROP ENFB GRASS MISC ALL SITES 58 59 1 0.51 0.37 0.37 0.90 0.81 0.44 0.97 1.62 0.90 1.50 2.39 0.94 1.12 2.28 1.04 1.78 2.45 1.07 Standard deviation is normalized by observations and calculated from model mean. 60 15 Brett M. Raczka 61 Table A15. Monthly correlation for all models. Monthly Correlation1 ENFT DBF CROP ENFB GRASS MISC ALL SITES 62 63 1 NEE GPP Re 0.41 0.63 0.20 0.48 0.40 0.53 0.43 0.77 0.85 0.46 0.82 0.48 0.73 0.70 0.64 0.76 0.55 0.80 0.38 0.64 0.63 Overall correlation is calculated by grouping all site-model data pairs into one single data set. 64 16 Brett M. Raczka 65 Table A16. Monthly correlation for crossover models only. Monthly Correlation1 NEE R ENFT DBF CROP ENFB GRASS MISC All Sites 66 67 1 region site region site region site region site region site region site region site 0.39 0.46 0.56 0.63 0.00 0.60 0.49 0.61 0.32 0.44 0.46 0.41 0.33 0.55 GPP ∆ -0.06 -0.08 -0.60 -0.11 -0.12 0.05 -0.22 R 0.75 0.83 0.77 0.88 0.31 0.65 0.80 0.88 0.43 0.68 0.75 0.80 0.64 0.82 Re ∆ -0.08 -0.11 -0.34 -0.08 -0.25 -0.05 -0.17 R 0.60 0.70 0.67 0.82 0.44 0.67 0.78 0.82 0.32 0.52 0.66 0.75 0.58 0.72 ∆ -0.10 -0.15 -0.23 -0.05 -0.20 -0.09 -0.14 Correlation is calculated from all site–model data pairs in each grouping. 68 17 Brett M. Raczka 69 Table A17. Monthly correlation grouped by photosynthetic formulation. Monthly Correlation, Photosynthetic Formulation NEE R ENFT DBF CROP ENFB GRASS MISC 70 All Sites EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE 0.43 0.43 0.66 0.75 0.04 0.52 0.51 0.45 0.38 0.51 0.54 0.61 0.40 0.57 GPP ∆ -0.01 -0.09 -0.48 0.06 -0.14 -0.08 -0.18 R 0.78 0.79 0.85 0.88 0.37 0.59 0.82 0.89 0.47 0.51 0.75 0.69 0.68 0.73 Re ∆ -0.02 -0.03 -0.22 -0.07 -0.05 0.07 -0.05 R 0.63 0.70 0.76 0.78 0.53 0.60 0.79 0.89 0.37 0.42 0.67 0.60 0.63 0.66 18 ∆ -0.07 -0.03 -0.07 -0.11 -0.05 0.07 -0.03 Brett M. Raczka 71 Table A18. Monthly correlation grouped by soil carbon decomposition formulation. Monthly Correlation, Soil Carbon Decomp Formulation NEE R nitrogen n/nitrog nitrogen DBF n/nitrog nitrogen CROP n/nitrog nitrogen ENFB n/nitrog nitrogen GRASS n/nitrog nitrogen MISC n/nitrog nitrogen All Sites n/nitrog ENFT 72 0.39 0.40 0.55 0.72 -0.03 0.43 0.45 0.55 0.27 0.45 0.49 0.61 0.31 0.51 GPP ∆ -0.01 -0.18 -0.46 -0.10 -0.18 -0.12 -0.20 R 0.71 0.78 0.83 0.88 0.21 0.59 0.81 0.86 0.39 0.47 0.73 0.77 0.62 0.73 Re ∆ -0.07 -0.05 -0.38 -0.05 -0.08 -0.03 -0.10 R 0.55 0.68 0.72 0.81 0.41 0.66 0.79 0.83 0.31 0.42 0.64 0.70 0.57 0.68 19 ∆ -0.13 -0.09 -0.25 -0.04 -0.11 -0.06 -0.12 Brett M. Raczka 73 Table A19. Monthly normalized variability for all models. Monthly Variability1 (σ/σobs) NEE GPP ENFT DBF CROP ENFB GRASS MISC ALL SITES 74 75 1 0.90 0.63 0.52 1.82 0.82 1.25 0.69 0.84 0.93 0.66 1.51 0.88 1.48 0.90 Re 0.74 1.28 0.95 1.32 1.15 1.57 0.99 Variability is calculated by grouping all site-model data and observed data together. 20 Brett M. Raczka 76 Table A20. Monthly normalized variablity for crossover models only. Monthly Variability (σ/σobs) NEE σ ENFT DBF CROP ENFB GRASS MISC All Sites 77 region site region site region site region site region site region site region site 1.01 0.87 0.63 0.62 0.55 0.59 1.86 1.26 0.89 0.91 1.37 1.31 0.73 0.72 GPP ∆ 0.14 0.01 -0.04 0.60 -0.02 0.05 0.00 Re σ 1.06 0.77 1.10 0.94 0.76 0.63 1.69 1.29 0.94 0.80 1.68 1.32 1.06 0.88 ∆ 0.29 0.17 0.13 0.40 0.14 0.35 0.18 21 σ 1.02 0.67 1.77 1.37 1.26 0.91 1.58 1.31 1.31 1.00 1.91 1.41 1.32 0.97 ∆ 0.35 0.40 0.36 0.26 0.31 0.50 0.34 Brett M. Raczka 78 Table A21. Monthly normalized variability grouped by photosynthetic formulation. Monthly Variability (σ/σobs), Photosynthetic Formulation NEE σ ENFT DBF CROP ENFB GRASS MISC All Sites 79 EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE EK LUE 0.96 0.80 0.67 0.56 0.60 0.33 2.05 1.53 0.86 0.72 1.40 1.06 0.77 0.57 GPP ∆ 0.16 0.11 0.27 0.52 0.14 0.34 0.20 Re σ 0.89 0.73 0.97 0.84 0.68 0.54 1.64 1.20 0.92 0.79 1.56 1.31 0.95 0.78 ∆ 0.16 0.12 0.14 0.44 0.13 0.25 0.17 22 σ 0.79 0.63 1.34 1.15 1.01 0.80 1.44 1.04 1.24 0.98 1.65 1.42 1.06 0.86 ∆ 0.16 0.19 0.21 0.39 0.27 0.23 0.19 Brett M. Raczka 80 Table A22. Monthly normalized variability grouped by soil carbon decomposition formulation. Monthly Variability (σ/σobs), Soil Decomp Formulation NEE σ nitrogen n/nitrog nitrogen DBF n/nitrog nitrogen CROP n/nitrog nitrogen ENFB n/nitrog nitrogen GRASS n/nitrog nitrogen MISC n/nitrog nitrogen All Sites n/nitrog ENFT 81 0.93 0.76 0.67 0.49 0.60 0.35 1.99 1.95 0.89 0.74 1.34 1.13 0.75 0.57 GPP ∆ 0.17 0.18 0.25 0.04 0.15 0.21 0.18 σ 0.85 0.90 0.97 0.92 0.70 0.65 1.63 1.66 0.91 0.95 1.60 1.53 0.96 0.92 Re ∆ -0.05 0.05 0.05 -0.04 -0.04 0.07 0.03 23 σ 0.75 0.82 1.30 1.36 1.00 1.00 1.38 1.47 1.23 1.25 1.65 1.72 1.02 1.08 ∆ -0.07 -0.06 -0.01 -0.08 -0.02 -0.07 -0.06 Brett M. Raczka 82 Figure A1. Monthly averaged fluxes (gC/m2/month) for all regional models (Canibis excluded). The 83 error bars on the observations are ± 1 sigma values (best and worst-case scenarios) calculated from 84 monthly modeled uncertainty. The dashed lines that bound the average modeled values are ± 1 85 sigma across model variation. The dashed lines are not a representation of model uncertainty. 86 Figure A2. Monthly averaged fluxes (gC/m2/month) for crossover models only (Canibis included). 87 The error bars on the observations are ± 1 sigma values (best and worst-case scenarios) calculated from 88 monthly modeled uncertainty. 89 Figure A3. Monthly averaged fluxes (gC/m2/month) for photosynthetic model formulations (Canibis 90 excluded). The error bars on the observations are ± 1 sigma values (best and worst-case scenarios) 91 calculated from monthly modeled uncertainty. 92 Figure A4. Monthly averaged fluxes (gC/m2/month) for soil carbon decomposition formulations 93 (Canibis excluded). The error bars on the observations are ± 1 sigma values (best and worst-case 94 scenarios) calculated from monthly modeled uncertainty. 95 24 Brett M. Raczka 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 25 Brett M. Raczka 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 Figure A1. 143 144 145 Figure A1. 146 147 26 Brett M. Raczka 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 27 Brett M. Raczka 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 Figure A2. 198 199 28 Brett M. Raczka 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 29 Brett M. Raczka 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 Figure A3. 249 250 251 30 Brett M. Raczka 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 31 Brett M. Raczka 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 Figure A4. 300 32 Brett M. Raczka 301 302 303 304 Figure A5. 305 33 Brett M. Raczka 306 307 308 309 310 311 312 Figure A6. 34