## Appendix A
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**ID** & **SITE** & **LAT** & **LON** & **BIO** \\ \hline
1 & BE-Lon & 50.5516 & 4.7461 & CRO \({}^{*}\) \\
2 & DE-Seh & 50.8706 & 6.4497 & CRO \\
3 & FI-Jok & 60.8986 & 23.5135 & CRO \\
4 & IT-CA2 & 42.3772 & 12.026 & CRO \({}^{*}\) \\
5 & US-CRT & 41.6285 & \(-\)83.347 & CRO \({}^{*}\) \\
6 & US-Lin & 36.3566 & \(-\)119.84 & CRO \\
7 & US-Tw3 & 38.1159 & \(-\)121.65 & CRO \\
8 & US-Twt & 38.1087 & \(-\)121.65 & CRO \({}^{*}\) \\
9 & US-ARM & 36.6058 & \(-\)97.489 & CRO \({}^{*}\) \\
10 & US-Ne2 & 41.1649 & \(-\)96.47 & CRO \\
11 & US-Ne3 & 41.1797 & \(-\)96.44 & CRO \\
12 & DE-Kli & 50.8931 & 13.5224 & CRO \\
13 & FR-Gri & 48.8442 & 1.9519 & CRO \({}^{*}\) \\
14 & US-Ne1 & 41.1651 & \(-\)96.477 & CRO \({}^{*}\) \\
15 & IT-Noe & 40.6026 & 8.1512 & CSH \\
16 & US-KS2 & 28.6086 & \(-\)80.672 & CSH \({}^{*}\) \\
17 & CA-Oas & 53.6289 & \(-\)106.2 & DBF \\
18 & CA-TPD & 42.6353 & \(-\)80.558 & DBF \\
19 & DE-Hai & 51.0792 & 10.453 & DBF \({}^{*}\) \\
20 & DK-Sor & 55.4859 & 11.6446 & DBF \({}^{*}\) \\
21 & FR-Fon & 48.4764 & 2.7801 & DBF \\
22 & IT-CA1 & 42.3804 & 12.0266 & DBF \({}^{*}\) \\
23 & IT-CA3 & 42.38 & 12.0222 & DBF \\
24 & IT-Col & 41.8494 & 13.5881 & DBF \\
25 & IT-Isp & 45.8126 & 8.6336 & DBF \({}^{*}\) \\
26 & IT-Ro1 & 42.4081 & 11.93 & DBF \\
27 & IT-Ro2 & 42.3903 & 11.9209 & DBF \\
28 & PA-SPn & 9.3181 & \(-\)79.635 & DBF \({}^{*}\) \\
29 & US-Ha1 & 42.5378 & \(-\)72.172 & DBF \({}^{*}\) \\
30 & US-MMS & 39.3232 & \(-\)86.413 & DBF \({}^{*}\) \\
31 & US-Oho & 41.5545 & \(-\)83.844 & DBF \\
32 & US-UMB & 45.5598 & \(-\)84.714 & DBF \({}^{*}\) \\
33 & US-UMd & 45.5625 & \(-\)84.698 & DBF \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Eddy covariance (EC) sites information used for research, including site id (ID), site name (SITE), latitude and longitude (LAT, LON), and biome type (BIO). The asterisk is used to verify the model. \begin{table}
\begin{tabular}{c c c c c} \hline
**ID** & **SITE** & **LAT** & **LON** & **BIO** \\ \hline
34 & US-WCr & 45.8059 & \(-\)90.08 & DBF \\
35 & ZM-Mon & \(-\)15.438 & 23.2528 & DBF * \\
36 & RU-Skp & 62.255 & 129.168 & DNF \\
37 & AU-Cum & \(-\)33.615 & 150.724 & EBF * \\
38 & AU-Tum & \(-\)35.657 & 148.152 & EBF \\
39 & AU-Wac & \(-\)37.426 & 145.188 & EBF * \\
40 & AU-Whr & \(-\)36.673 & 145.029 & EBF * \\
41 & AU-Wom & \(-\)37.422 & 144.094 & EBF \\
42 & BR-Sa1 & \(-\)28.8567 & \(-\)54.959 & EBF \\
43 & BR-Sa3 & \(-\)3.018 & \(-\)54.971 & EBF * \\
44 & FR-Pue & 43.7413 & 3.5957 & EBF * \\
45 & GF-Guy & 5.2788 & \(-\)52.925 & EBF \\
46 & IT-Cp2 & 41.7043 & 12.3573 & EBF \\
47 & IT-Cp2 & 41.7053 & 12.3761 & EBF \\
48 & MY-PSO & 2.973 & 102.306 & EBF \\
49 & AU-ASM & \(-\)22.283 & 133.249 & ENF * \\
50 & CA-NS1 & 55.8792 & \(-\)98.484 & ENF \\
51 & CA-NS2 & 55.9058 & \(-\)98.525 & ENF \\
52 & CA-NS3 & 55.9117 & \(-\)98.382 & ENF * \\
53 & CA-NS4 & 55.9144 & \(-\)98.381 & ENF \\
54 & CA-NS5 & 55.8631 & \(-\)98.485 & ENF \\
55 & CA-Obs & 53.9872 & \(-\)105.12 & ENF * \\
56 & CA-Qfo & 49.6925 & \(-\)74.342 & ENF \\
57 & CA-SF1 & 54.485 & \(-\)105.82 & ENF \\
58 & CA-SF2 & 54.2539 & \(-\)105.88 & ENF * \\
59 & CA-TP1 & 42.6609 & \(-\)80.56 & ENF \\
60 & CA-TP2 & 42.7744 & \(-\)80.459 & ENF * \\
61 & CA-TP3 & 42.7068 & \(-\)80.348 & ENF \\
62 & CA-TP4 & 42.7102 & \(-\)80.357 & ENF * \\
63 & CH-Dav & 46.8153 & 9.8559 & ENF * \\
64 & CZ-BK1 & 49.5021 & 18.5369 & ENF \\
65 & DE-Lkb & 49.0996 & 13.3047 & ENF * \\
66 & FI-Let & 60.6418 & 23.9595 & ENF \\
67 & FR-LBr & 44.7171 & \(-\)0.7693 & ENF * \\
68 & IT-La2 & 45.9542 & 11.2853 & ENF \\  
ig & \(-\)36.65 & 145.576 & GRA \\
87 & CH-Cha & 47.2102 & 8.4104 & GRA * \\
88 & CH-Fru & 47.1158 & 8.5378 & GRA \\
89 & CH-Oe1 & 47.2858 & 7.7319 & GRA \\
90 & CN-Chg & 44.5934 & 123.509 & GRA * \\
91 & CN-Dan & 30.4978 & 910.664 & GRA * \\
92 & CN-Du2 & 42.0467 & 116.284 & GRA \\
93 & CN-HaM & 37.37 & 101.18 & GRA \\
94 & CZ-BK2 & 49.4944 & 18.5429 & GRA * \\ \hline \end{tabular}
\end{table} 
Table 1: Cont.