## 5 Conclusions
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Site** & **Prior** & \begin{tabular}{c} **fapar** \\ **(Multi)** \\ \end{tabular} & \begin{tabular}{c} **fapar** \\ **(Single)** \\ \end{tabular} & \begin{tabular}{c} **sm** \\ **(Multi)** \\ \end{tabular} & \begin{tabular}{c} **sm** \\ **(Single)** \\ \end{tabular} & \
\begin{tabular}{c} **sm+fapar** \\ **(Multi)** \\ \end{tabular} &
\begin{tabular}{c} **sm+fapar** \\ **(Single)** \\ \end{tabular} \\ \hline AU-DaS & 2.5496 & 63.01 & 19.43 & 35.99 & 26.78 & 19.43 & 0.00 \\ CA-Gro & 1.1403 & 63.49 & 34.96 & 34.21 & 50.49 & 15.79 & 13.36 \\ CN-Sw2 & 3.8561 & \(-61.80\) & \(-39.90\) & 1.10 & \(-17.86\) & \(-45.03\) & \(-41.82\) \\ DK-Sor * & 4.6821 & \(-17.34\) & \(-14.23\) & 4.64 & / & 32.21 & \(-14.23\) \\ ES-LMa & 1.7476 & 43.52 & \(-12.89\) & \(-9.72\) & 30.43 & 7.91 & \(-4.72\) \\ FI-Sod * & 1.5081 & 22.76 & \(-6.70\) & \(-25.74\) & / & \(-32.97\) & \(-6.70\) \\ FR-Pue & 4.3716 & \(-37.53\) & 7.62 & \(-46.73\) & 3.38 & \(-35.25\) & \(-0.36\) \\ NL-Loo & 2.1479 & \(-20.50\) & \(-8.23\) & 33.75 & \(-7.97\) & 24.87 & \(-5.68\) \\ US-Kfs & 3.5734 & \(-15.22\) & 2.31 & \(-42.75\) & \(-11.02\) & \(-10.28\) & \(-22.20\) \\ US-Wkg & 1.3939 & \(-0.91\) & \(-0.50\) & \(-0.81\) & \(-0.48\) & 0.00 & 0.00 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: RMSE reduction (%, positive value means RMSE was reduced) for gross primary productivity (GPP) simulation with prior and different assimilation methods, ‘sm’ with soil moisture solely, ‘fapar’ with FAPAR solely, ‘sm+fapar’ with combination of soil moisture and FAPAR data, ‘multi’ denotes multi-site assimilation, and ‘single’ denotes single-site assimilation. Figure 11: Multi-year mean of simulated daily net ecosystem productivity (NEP) and observed data (dot) from FLUXNET. (**a–j**) corresponds to 10 sites listed in Table 6. The black line denotes simulation with prior parameter values, the blue line denotes multi-site assimilation result with soil moisture and FAPAR, the green line denotes multi-site assimilation result with soil moisture, the red line denotes multi-site assimilation result with FAPAR, the cyan line denotes single-site assimilation result with soil moisture and FAPAR from each site grid, the magenta line denotes single-site assimilation result with soil moisture from each site grid, and the dark yellow line denotes single-site assimilation results with FAPAR from each site grid. Figure 17: Multi-year mean of simulated daily gross primary productivity (GPP) and observed data (dot) from FLUXNET. (**a–j**) corresponds to 10 sites listed in Table 16. The black line denotes simulation with prior parameter values, the blue line denotes multi-site assimilation result with soil moisture and FAPAR, the green line denotes multi-site assimilation result with soil moisture, the red line denotes multi-site assimilation result with FAPAR, the cyan line denotes single-site assimilation result with soil moisture and FAPAR from each site grid, the magenta line denotes single-site assimilation result with soil moisture from each site grid, and the dark yellow line denotes single-site assimilation results with FAPAR from each site grid.