Functions to initialize and expand a ring of tracheids to simulate secondary growth.
woodformation_initRing()
woodformation_growRing(ring, psi, Tc,
Nc=8.85, phi0=0.13, pi0=-0.8, CRD0=8.3,
Y_P=0.05, Y_T=8.0, h=0.043*1.8, s=1.8)
woodformation_relativeExpansionRate(psi, Tc, pi, phi, Y_P, Y_T)
An object of class ring
returned by function woodformation_initRing
.
Water potential (in MPa).
Temperature in Celsius.
Number of active cells in the cambium.
Initial value of cell extensibility (in MPa-1 day-1)
Initial value of cell osmotic potential (in MPa)
Initial value of cell radial diameter
Turgor pressure yield threshold (in MPa)
Temperature yield threshold (in Celsius)
Cell wall hardening coefficient (in day-1)
Cell wall softening coefficient (unitless)
Osmotic potential (in MPa)
Cell extensibility (in MPa-1 day-1)
Function woodformation_initRing()
returns a list of class 'ring', that is a list containing a data frame cells
and two vectors: P
and SA
. Dataframe cells
contains the columns "formation_date", "phi", "pi" and "CRD" and as many rows as dates processed. Vectors P
and SA
contain, respectively, the number of cells produced and the sapwood area corresponding to the ring of cells (assuming a tangencial radius of 20 micrometers). Function woodformation_growRing()
modifies the input 'ring' object according to the environmental conditions given as input. Function woodformation_relativeExpansionRate()
returns a numeric scalar with the relative expansion rate.
Cabon A, Fern<U+00E1>ndez-de-U<U+00F1>a L, Gea-Izquierdo G, Meinzer FC, Woodruff DR, Mart<U+00ED>nez-Vilalta J, De C<U+00E1>ceres M. 2020a. Water potential control of turgor-driven tracheid enlargement in Scots pine at its xeric distribution edge. New Phytologist 225: 209<U+2013>221.
Cabon A, Peters RL, Fonti P, Mart<U+00ED>nez-Vilalta J, De C<U+00E1>ceres M. 2020b. Temperature and water potential co-limit stem cambial activity along a steep elevational gradient. New Phytologist: nph.16456.