doc/phys_pkgs/darwin_chl.rst

1d947889e4 Oliv*0001 .. include:: ../defs.hrst
                0002
                0003 .. _Synthesis:
                0004
                0005 Chlorophyll synthesis
                0006 ^^^^^^^^^^^^^^^^^^^^^
                0007
                0008 With N quota:
                0009 '''''''''''''
                0010
                0011 .. math:: S^{\op{Chl}}_j = \rho^{\op{Chl}}_j U^{\mathrm{N}}_j
                0012
                0013 where
                0014
                0015 .. math::
                0016
                0017    \rho^{\op{Chl}}_j = \begin{cases}
                0018        \op{Chl\text{:}n}^{\max}_j
faa67d1773 Oliv*0019          \dfrac{P^{\mathrm{C}}_j}
1d947889e4 Oliv*0020               {\langle\alpha I\rangle_j \cdot \op{Chl\text{:}C}_j}
                0021        & \text{if } \langle\alpha I\rangle_j \cdot \op{Chl\text{:}C}_j > 0, \\
                0022        \op{Chl\text{:}n}^{\max}_j
                0023        & \text{else.}
                0024      \end{cases}
                0025
                0026
                0027 Without N quota:
                0028 ''''''''''''''''
                0029
                ** Warning **Wide character in print at /usr/local/share/lxr/source line 1030, <$git> line 31.


0030 – with :varlink:`DARWIN_GEIDER_RHO_SYNTH`:
                0031
                0032 .. math::
                0033
                0034    S^{\op{Chl}}_j = \rho^{\op{Chl}}_j \cdot P^{\mathrm{C}}_j {c}_j
                0035               + \tau^{\op{acclim}}_j (\op{Chl\text{:}C}_j^{\op{acclim}} - \op{Chl\text{:}C}_j) {c}_j
                0036
                0037 where
                0038
                0039 .. math::
                0040
                0041    \rho^{\op{Chl}}_j = \begin{cases}
faa67d1773 Oliv*0042        \op{Chl\text{:}C}^{\max}_j \dfrac{P^{\mathrm{C}}_j}
1d947889e4 Oliv*0043        {\langle\alpha I\rangle_j \op{Chl\text{:}C}^{{{\text{acclim}}}}_j}
                0044        & \text{if } \langle\alpha I\rangle_j > 0
                0045          \text{ and } \op{Chl\text{:}C}^{{{\text{acclim}}}}_j > 0, \\
                0046        0 & \text{else.}
                0047      \end{cases}
                0048
                ** Warning **Wide character in print at /usr/local/share/lxr/source line 1030, <$git> line 50.


0049 – else
                0050
                0051 .. math::
                0052
                0053    S^{\op{Chl}}_j = \op{Chl\text{:}C}_j^{\op{acclim}} \cdot P^{\mathrm{C}}_j {c}_j
                0054                 + \tau^{\op{acclim}}_j (\op{Chl\text{:}C}_j^{\op{acclim}} - \op{Chl\text{:}C}_j) {c}_j
                0055
faa67d1773 Oliv*0056 The acclimated chlorophyll-c ratio, :math:`\op{Chl\text{:}C}_j^{\op{acclim}}`,
                0057 is defined in :eq:`chl2cacclim`.
                0058
                0059
1d947889e4 Oliv*0060 Without Chl quota,
                0061 ''''''''''''''''''
                0062
                0063 current chl, i.e., :math:`{c}_j\cdot\op{Chl\text{:}C}_j`, is
                0064 stored for the next time step.
                0065
faa67d1773 Oliv*0066
                0067 .. csv-table:: Chlorophyll synthesis parameters
                0068    :delim: &
                0069    :widths: 13,20,14,14,15,24
                0070    :class: longtable
                0071    :header: Trait, Param, Symbol, Default, Units, Description
                0072
                0073                             & :varlink:`chl2nmax`        & Chl:n\ :math:`^{\op{max}}_j` & 3.00   & mg Chl / mmol N & max Chl:N ratio for Chl synthesis following Moore 2002
                0074    :varlink:`acclimtimescl` & :varlink:`a_acclimtimescl` & :math:`\tau^{\op{acclim}}` & 1/20days & 1/s             & rate of chlorophyll acclimation