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\title{Supplementary material}

\begin{document}

\maketitle

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\begin{longtable}[c]{rlrrrr}
  \caption{SVR, $\rho$, and $t_{ig}$ averaged by species and size class. Numbers in parentheses are standard deviation. Missing size classes indicate that branches from a species had no branchwood in those diameters.\label{tab:S1short}}\\

  
\hline  
\textbf{Species} & \textbf{Size} & \textbf{SVR} & \textbf{$\rho$} & \textbf{t$_{ig}$} & \textbf{p$_{mass}$} \\ \hline
& & $m^{-1}$ & $kg/m^{3}$ & $s$ & \\
\hline
  \endfirsthead

\hline  
\textbf{Species} & \textbf{Size} & \textbf{SVR} & \textbf{$\rho$} & \textbf{t$_{ig}$} & \textbf{p$_{mass}$} \\ \hline
& & $m^{-1}$ & $kg/m^{3}$ & $s$ & \\
  \hline
  \endhead
 
 \hline
 \endfoot

 \hline\hline
 \endlastfoot 
ABGR & Foliage & 5892 (1108) & 427.71 (34.36) & 9.4 (1.3) & 0.46 \\ 
ABGR & 1-hr & 2131 (375) & 556.64 (35.53) & 32.9 (7) & 0.18 \\ 
ABGR & 10-hr & 528 (153) & 569.96 (25.98) & 298.9 (33.8) & 0.37 \\ 
\hline
ABLA & Foliage & 4790 (1543) & 432.24 (46.57) & 7.1 (1.1) & 0.46 \\ 
ABLA & 1-hr & 2124 (334) & 511.93 (28.89) & 31.7 (7.5) & 0.16 \\ 
ABLA & 10-hr & 684 (183) & 500.76 (12.15) & 295.3 (28.1) & 0.37 \\ 
\hline
LAOC & Foliage & 3529 (1140) & 274.03 (23.24) & 4.3 (0.3) & 0.21 \\
LAOC & 1-hr & 2390 (600) & 545.81 (50.47) & 21.3 (8.4) & 0.36 \\ 
LAOC & 10-hr & 1318 (308) & 562.97 (12.45) & 84.4 (25.1) & 0.43 \\ 
\hline
PIEN & Foliage & 4278 (1084) & 488.65 (55.3) & 8.4 (1.8) & 0.52 \\
PIEN & 1-hr & 2847 (871) & 497.81 (35.98) & 26.7 (12.8) & 0.19 \\ 
PIEN & 10-hr & 903 (129) & 541.68 (28.02) & 227 (35.3) & 0.29 \\ 
\hline
PIAL & Foliage & 5097 (734) & 417.97 (29.77) & 5.9 (0.8) & 0.43 \\ 
PIAL & 1-hr & 1645 (619) & 496.85 (42.94) & 47.4 (13.1) & 0.20 \\ 
PIAL & 10-hr & 714 (151) & 542.04 (22.53) & 252.6 (26.4) & 0.37 \\ 
\hline
PICO & Foliage & 5398 (2034) & 449.8 (21.58) & 6.4 (1) & 0.45 \\ 
PICO & 1-hr & 2202 (575) & 491.14 (52.58) & 37.4 (14) & 0.21 \\ 
PICO & 10-hr & 716 (141) & 512.96 (22.26) & 197.9 (24.7) & 0.34 \\ 
\hline
PIMO & Foliage & 6470 (1137) & 409.23 (24.5) & 4.4 (0.7) & 0.38 \\ 
PIMO & 1-hr & 1870 (424) & 471.79 (33.14) & 55.8 (12.7) & 0.14 \\ 
PIMO & 10-hr & 578 (138) & 515.12 (32.03) & 341.6 (54.2) & 0.48 \\ 
\hline
PIPO & Foliage & 4479 (440) & 474.68 (38.07) & 6 (1.2) & 0.35 \\
PIPO & 1-hr & & & & .01 \\    
PIPO & 10-hr & 945 (281) & 534.6 (40.64) & 162.3 (75.6) & 0.64 \\ 
\hline
PSME & Foliage & 4760 (1188) & 425.38 (41.08) & 8 (0.9) & 0.46 \\ 
PSME & 1-hr & 1998 (355) & 535.99 (47.78) & 29 (9.1) & 0.21 \\ 
PSME & 10-hr & 769 (186) & 560.1 (24.21) & 198.8 (47) & 0.33 \\ 
\hline
THPL & Foliage & 5135 (951) & 363.59 (31.4) & 7.3 (1.4) & 0.40 \\
THPL & 1-hr & 2023 (439) & 464.92 (30.46) & 40 (11.2) & 0.19 \\ 
THPL & 10-hr & 597 (171) & 461.76 (16.78) & 238.3 (27.3) & 0.40 \\ 
\hline
TSHE & Foliage & 9136 (3181) & 403.4 (83.91) & 5.5 (0.8) & 0.37 \\
TSHE & 1-hr & 3071 (861) & 574.36 (40.69) & 30.5 (9.7) & 0.18 \\ 
TSHE & 10-hr & 647 (187) & 596.09 (24.18) & 252.1 (28.5) & 0.45 \\ 
    \bottomrule
\end{longtable}

\begin{longtable}[c]{rlrrrrr}
  \caption{SVR, $\rho$, $t_{ig}$ averaged by species and experimental size class. $p_{mass}$ and $p^{*}$ are the mass proportions within all the foliage, 1-hr and 10-hr size classes and within the single time lag class (either 1-hr or 10-hr) respectively. Numbers in parentheses are standard deviation. Mass proportions are averaged over all branches for a species, and therefore do not add up to 1. \label{long}}\\
  

\hline  
\textbf{Species} & \textbf{Size} & \textbf{SVR} & \textbf{$\rho$} & \textbf{t$_{ig}$} & \textbf{p$_{mass}$} & \textbf{p$^{*}$} \\\hline
& $mm$ & $m^{-1}$ & $kg/m^{3}$ & $s$ & \\
\hline
  \endfirsthead

\hline  
\textbf{Species} & \textbf{Size} & \textbf{SVR} & \textbf{$\rho$} & \textbf{t$_{ig}$} & \textbf{p$_{mass}$} & \textbf{p$^{*}$} \\ 
\hline
& $mm$ & $m^{-1}$ & $kg/m^{3}$ & $s$ & & \\
  \hline
  \endhead
 
 \hline
 \endfoot

 \hline\hline
 \endlastfoot 
ABGR & Foliage & 5892 (1108) & 427.71 (34.36) & 9.4 (1.3) & 0.46 & -  \\  
ABGR & 0-2 & 3224 (583) & 538.04 (36.17) & 10.7 (3.4) & 0.07 & 0.42 \\ 
ABGR & 2.1-4 & 1909 (270) & 557.64 (39.88) & 28.6 (6.4) & 0.06 & 0.34 \\ 
ABGR & 4.1-6 & 1260 (196) & 574.25 (33.4) & 59.5 (10.3) & 0.04 & 0.24 \\ 
ABGR & 6.1-11 & 902 (199) & 574.28 (33.07) & 114.2 (40.2) & 0.11 & 0.29 \\ 
ABGR & 11.1-16 & 457 (55) & 560.21 (27.51) & 217.5 (66.3) & 0.08 & 0.21 \\ 
ABGR & 16.1-21 & 362 & 568.05 & 440.6 & 0.12 & 0.33 \\ 
ABGR & 21.1-26 & 321 & 580.98 & 485.5 & 0.10 & 0.27 \\ 
\hline
ABLA & Foliage & 4790 (1543) & 432.24 (46.57) & 7.1 (1.1) & 0.46 & - \\ 
ABLA & 0-2 & 3137 (471) & 495.33 (33.54) & 10.3 (3.4) & 0.07 & 0.41 \\ 
ABLA & 2.1-4 & 1983 (323) & 515.84 (32.18) & 24 (11.1) & 0.06 & 0.34 \\ 
ABLA & 4.1-6 & 1250 (99) & 524.63 (20.85) & 60.9 (6.8) & 0.04 & 0.26 \\ 
ABLA & 6.1-11 & 918 (164) & 507.92 (17.41) & 146.1 (27.1) & 0.07 & 0.20 \\
ABLA & 11.1-16 & 692 (531) & 505.06 (17.92) & 309.5 (78.4) & 0.13 & 0.36 \\ 
ABLA & 16.1-21 & 465 & 502.64 & 484.1  & 0.11 & 0.29 \\ 
ABLA & 21.1-26 & 402 & 462.59 & 323.3 & 0.14 & 0.27 \\ 
\hline
LAOC & Foliage & 3529 (1140) & 274.03 (23.24) & 4.3 (0.3) & 0.21 & - \\ 
LAOC & 0-2 & 3043 (650) & 474.99 (67.02) & 14.5 (3.2) & 0.02 & 0.07 \\ 
LAOC & 2.1-4 & 2332 (290) & 571.51 (28.58) & 17.8 (9) & 0.19 & 0.53 \\ 
LAOC & 4.1-6 & 2012 (737) & 567.32 (42.74) & 29.3 (10.2) & 0.15 & 0.40 \\ 
LAOC & 6.1-11 & 1489 (344) & 559.26 (13.92) & 82 (28.1) & 0.25 & 0.58 \\ 
LAOC & 11.1-16 & 806 & 574.09 & 91.5 & 0.17 & 0.40 \\ 
\hline
PIEN & Foliage & 4278 (1084) & 488.65 (55.3) & 8.4 (1.8) & 0.52 & - \\ 
PIEN & 0-2 & 3898 (484) & 452.99 (25.44) & 6.2 (1.8) & 0.06 & 0.31 \\ 
PIEN & 2.1-4 & 2911 (1307) & 511.02 (40.81) & 21.4 (7.8) & 0.09 & 0.45 \\ 
PIEN & 4.1-6 & 1732 (463) & 529.43 (40.5) & 52.5 (20.9) & 0.05 & 0.24 \\ 
PIEN & 6.1-11 & 1107 (135) & 543.23 (29.5) & 103.7 (37.1) & 0.06 & 0.22\\
PIEN & 11.1-16 & 820 (65) & 538.8 (6.44) & 221.8 (6.1) & 0.10 & 0.35 \\ 
PIEN & 16.1-21 & 824 & 544.45 & 358.1 & 0.18 & 0.63 \\ 
\hline  
PIAL & Foliage & 5097 (734) & 417.97 (29.77) & 5.9 (0.8) & 0.43 & - \\
PIAL & 2.1-4 & 1921 (361) & 468.59 (50.76) & 35.2 (9.5) & 0.05 & 0.25 \\ 
PIAL & 4.1-6 & 1370 (829) & 525.1 (35.17) & 59.7 (16.5) & 0.15 & 0.75 \\ 
PIAL & 6.1-11 & 949 (175) & 548.77 (26.26) & 107.3 (27.9) & 0.14 & 0.37 \\
PIAL & 11.1-16 & 626 (0) & 538.52 (3.18) & 225.4 (29) & 0.08 & 0.22 \\ 
PIAL & 16.1-21 & 541 (84) & 542.58 (2.45) & 318.6 (24.4) & 0.10 & 0.26 \\
PIAL & 21.1-26 & 703 & 527.25 & 544.9 & 0.08 & 0.22 \\ 
\hline
PICO & Foliage & 5398 (2034) & 449.8 (21.58) & 6.4 (1) & 0.45 & - \\
PICO & 2.1-4 & 2677 (720) & 468.27 (54.94) & 29 (11.4) & 0.10 & 0.47 \\ 
PICO & 4.1-6 & 1727 (438) & 514 (53.05) & 45.8 (16.6) & 0.11 & 0.52 \\ 
PICO & 6.1-11 & 1014 (157) & 538.65 (24.37) & 97 (27.3) & 0.12 & 0.34 \\ 
PICO & 11.1-16 & 618 (47) & 482.32 (14.44) & 210.1 (9.4) & 0.04 & 0.13 \\ 
PICO & 16.1-21 & 445 & 517.74 & 285.6 & 0.12 & 0.35 \\ 
PICO & 21.1-26 & 365 & 492.58 & 389.6 & 0.09 & 0.27 \\ 
\hline
PIMO & Foliage & 6470 (1137) & 409.23 (24.5) & 4.4 (0.7) & 0.38 & - \\
PIMO & 0-2 & 3917 (853) & 488.9 (42.53) & 23.4 & 0.001 & .01 \\ 
PIMO & 2.1-4 & 1948 (482) & 446.92 (36.11) & 49 (12.2) & 0.05 & 0.36 \\ 
PIMO & 4.1-6 & 1110 (193) & 490.95 (29.95) & 73.4 (15.1) & 0.09 & 0.64 \\ 
PIMO & 6.1-11 & 872 (168) & 519.78 (36.17) & 144.2 (42.8) & 0.11 & 0.22 \\
PIMO & 11.1-16 & 601 (100) & 507.45 (34.36) & 319.4 (94.1) & 0.10 & 0.21 \\ 
PIMO & 16.1-21 & 383 (75) & 500.36 (17.09) & 461.5 (78) & 0.14 & 0.28 \\
PIMO & 21.1-26 & 396 (134) & 541.74 (43.84) & 490.9 (55.3) & 0.21 & 0.43 \\ 
\hline
PIPO & Foliage & 4479 (440) & 474.68 (38.07) & 6 (1.2) & 0.35 & - \\
PIPO & 6.1-11 & 1372 (337) & 494.66 (46.54) & 133.7 (61.8) & 0.14 & 0.22 \\ 
PIPO & 11.1-16 & 809 (268) & 553.76 (36.82) & 116.2 (94.5) & 0.24 & 0.38 \\ 
PIPO & 16.1-21 & 809 (100) & 546.6 (44.68) & 248 (133.2) & 0.15 & 0.24 \\ 
PIPO & 21.1-26 & 711 & 547.74 & 145.5 & 0.10 & 0.16 \\ 
\hline
PSME & Foliage & 4760 (1188) & 425.38 (41.08) & 8 (0.9) & 0.46 & - \\ 
PSME & 0-2 & 3017 (425) & 512.46 (32.49) & 11.1 (3) & 0.09 & 0.42 \\ 
PSME & 2.1-4 & 1778 (388) & 533.92 (73) & 26.8 (10.4) & 0.07 & 0.33 \\ 
PSME & 4.1-6 & 1199 (219) & 561.6 (24.31) & 49.1 (13.4) & 0.05 & 0.25 \\ 
PSME & 6.1-11 & 1088 (242) & 560.42 (16.36) & 102.1 (31.5) & 0.10 & 0.32 \\ 
PSME & 11.1-16 & 590 (80) & 579.35 (29.47) & 179.7 (74.3) & 0.12 & 0.37 \\ 
PSME & 16.1-21 & 522 (110) & 567.88 (50.68) & 292.8 (61.7) & 0.12 & 0.38 \\
PSME & 21.1-26 & 340 & 504.75 & 435.5 & 0.08 & 0.25 \\ 
\hline
THPL & Foliage & 5135 (951) & 363.59 (31.4) & 7.3 (1.4) & 0.40 & - \\
THPL & 0-2 & 2956 (507) & 407.01 (30.13) & 15.6 (6.3) & 0.08 & 0.43 \\ 
THPL & 2.1-4 & 2109 (557) & 491.77 (21.65) & 32.8 (11.7) & 0.06 & 0.31 \\ 
THPL & 4.1-6 & 1004 (219) & 495.99 (39.7) & 71.5 (14.9) & 0.05 & 0.26 \\ 
THPL & 6.1-11 & 769 (211) & 500.28 (20.74) & 150.7 (33.8) & 0.07 & 0.16 \\ 
THPL & 11.1-16 & 444 & 446.78 & 261.1 & 0.05 & 0.14 \\ 
THPL & 16.1-21 & 533 & 444.02 & 236.3 & 0.12 & 0.31 \\ 
THPL & 21.1-26 & 587 & 445.56 & 349.7 & 0.16 & 0.39 \\ 
\hline
TSHE & Foliage & 9136 (3181) & 403.4 (83.91) & 5.5 (0.8) & 0.37 & - \\
TSHE & 0-2 & 5514 (1769) & 534.14 (74.69) & 9 (3) & 0.10 & 0.52 \\ 
TSHE & 2.1-4 & 2300 (355) & 587.59 (26.73) & 27 (9) & 0.05 & 0.25 \\ 
TSHE & 4.1-6 & 1399 (193) & 601.35 (22.65) & 55.6 (13.3) & 0.04 & 0.23 \\ 
TSHE & 6.1-11 & 876 (230) & 596.62 (29.73) & 122 (34.5) & 0.09 & 0.20 \\ 
TSHE & 11.1-16 & 536 (35) & 586.85 (5.29) & 183.4 (15.1) & 0.07 & 0.15 \\ 
TSHE & 16.1-21 & 573 & 618.49 & 345 & 0.16 & 0.36 \\ 
TSHE & 21.1-26 & 525 & 570.9 & 376.7 & 0.20 & 0.44 \\ 
   \bottomrule
\end{longtable}

\end{document}
