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1d947889e4 Oliv*0001 .. include:: ../defs.hrst
0002
0003 Exudation
0004 ^^^^^^^^^
0005
0006 If :varlink:`DARWIN_ALLOW_EXUDE` is defined, an additional per-element loss
0007 term is introduced, e.g.,
0008
0009 .. math:: \partial_tp_j = \dots - E^{\mathrm{P}}_j
0010
0011 with
0012
0013 .. math:: E^{\mathrm{P}}_j = \kappa^{\op{exc}}_{{\mathrm{P}}\,j} ({c}_j - {c}_j^{\min}) Q^{\mathrm{P}}_j
0014
0015 and fed into organic matter pools, e.g.,
0016
faa67d1773 Oliv*0017 .. math:: \partial_t\op{DOP}= \dots + \sum_j (1 - f^{\exp\op{exude}}_j) E^{\mathrm{P}}_j
1d947889e4 Oliv*0018
0019 and
0020
faa67d1773 Oliv*0021 .. math:: \partial_t\op{POP}= \dots + \sum_j f^{\exp\op{exude}}_j E^{\mathrm{P}}_j
1d947889e4 Oliv*0022
0023 (Maybe should NOT use :math:`{c}_j^{\min}` in this case, or have a
0024 separate one for each quota?)
0025
faa67d1773 Oliv*0026 .. csv-table:: Exudation parameters
0027 :delim: &
0028 :widths: 13,20,17,15,15,20
0029 :class: longtable
0030 :header: Trait, Param, Symbol, Default, Units, Description
0031
0032 :varlink:`kexcc` & :varlink:`a_kexcC` & :math:`\kappa^{\op{exc}}_{\op{C} j}` & 0·V\ :sup:`-0.33` & s\ :sup:`-1` & exudation rate for carbon
0033 :varlink:`kexcn` & :varlink:`a_kexcN` & :math:`\kappa^{\op{exc}}_{\op{N} j}` & 0·V\ :sup:`-0.33` & s\ :sup:`-1` & exudation rate for nitrogen
0034 :varlink:`kexcp` & :varlink:`a_kexcP` & :math:`\kappa^{\op{exc}}_{\op{P} j}` & 0.024/day·V\ :sup:`-0.33` & s\ :sup:`-1` & exudation rate for phosphorus
0035 :varlink:`kexcfe` & :varlink:`a_kexcFe` & :math:`\kappa^{\op{exc}}_{\op{Fe} j}` & 0.0/day & s\ :sup:`-1` & exudation rate for iron
0036 :varlink:`kexcsi` & :varlink:`a_kexcSi` & :math:`\kappa^{\op{exc}}_{\op{Si} j}` & 0.0/day & s\ :sup:`-1` & exudation rate for silica
0037 :varlink:`ExportFracExude` & :varlink:`a_ExportFracExude` & :math:`f^{\op{exp}\op{exude}}_j` & UNINIT & & fraction of exudation to POM
8916dab93b Oliv*0038
