Table 1.

Parameter values of poplar tree.

Parameter	Definition	Value
S p	Total ground projection area available of the crown of plant; see Eq. S15 in Supplement B .	12 m2
P m	Maximum physiological age (PA); see Eq. 2.	4
e	Specific leaf weight; see Eq. S23 in Supplement B .	0.023 g·cm-2 (Yang et al., 2011)
$P_p^b$	Sink strength of leaf blade of PA p; see Eq. S16 in Supplement B .	1, 0.66, 0.32, 0.2, from PA 1 to PA P m (Yang et al., 2011)
$P_p^i$	Sink strength of internode pith of PA p; see Eq. S16 in Supplement B .	0.875, 0.5, 0.3, 0.1, from PA 1 to PA P m
$P_p^r$	Relative sink strength of layer with PA p; see Eq. S22 in Supplement B .	0.8, 0.05, 0.05, 0.05
α	Internode allometry parameter; see Eq. S19 in Supplement B .	-0.28, -0.36, -0.26, -0.06 from PA 1 to PA Pm (Yang et al., 2011)
β	Internode allometry parameter; see Eq. S19 in Supplement B .	6.51, 4.22, 3.77, 5.20 from PA 1 to PA Pm (Yang et al., 2011)
${\rho }_p^{pith}$	Density of pith; see Eq. S18 in Supplement B .	0.36 g·cm-3 (Kord et al., 2010)
${\rho }_p^{layer}$	Density of layer; see Eq. 7	0.36-0.48 g·cm-3 (Kord et al., 2010)
MOR	Modulus of rupture	45 MPa (Grotta et al., 2005b)