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Project no. GOCE-CT-2003-505540
Project acronym: Euro-limpacs
Project full name: Integrated Project to evaluate the Impacts of Global Change on
European Freshwater Ecosystems
Instrument type: Integrated Project
Priority name: Sustainable Development
Deliverable No. 53
Specification of wetland productivity model
A. Diagrams in STELLA 6.0 model
Due date of deliverable: Month 18
Actual submission date: Month 12
Start date of project: 1 February 2004 Duration: 5 Years
Organisation name of lead contractor for this deliverable: UU-Bio
Project co-funded by the European Commission within the Sixth Framework Programme (2002-2006)
Dissemination Level (tick appropriate box)
PU Public PU
PP Restricted to other programme participants (including the Commission Services)
RE Restricted to a group specified by the consortium (including the Commission Services)
CO Confidential, only for members of the consortium (including the Commission Services)
Introduction
This deliverable contains a listing of the dynamic simulation model CNP20. This
model has been developed during the EU project FAEWE (contract numbers CT90-
0084 and EV5V-CT94-0559 ) to model primary production of wetland vegetation in
relation to the interactions of carbon, nitrogen and phosphorus cycling. The model is
especially designed to test the effect of hydroperiod on nutrient dynamics and primary
production in wetlands. It has been used during FAEWE and PROTOWET (contract
number ENV4-CT95-0060) to test the effects of restoration measures such as
rewetting of drained wetland slopes and to test the effects of eutrophication. The
model description has been published (Van der Peijl & Verhoeven 1999). Further
applications of the model were a landscape analysis of rewetting of a slope wetland
along the Torridge (Devon, UK)(Van der Peijl & Verhoeven 2000) and an analysis of
the effects of nutrient enrichment of wetlands in the same catchment (Van der Peijl et
al. 2000).
The listing of the model is given here in two parts, which were both generated by the
STELLA modelling environment. Part A contains the model diagram; whereas part B
contains the model equations.
Rationale for use in Euro-Limpacs
The CNP20 model will be used in Euro-Limpacs to test the effects of future climate
change on the productivity and nutrient dynamics of wetlands. For this exercise, the
model has been calibrated for a wetland slope and adjacent floodplain area along the
Torridge, which is part of the Tamar catchment, UK. Within WP1, detailed
predictions of climate in 2085 at this location will be used to modify the
meteorological inputs to the model (rainfall, annual cycle of growing season) and test
the effects on hydroperiod and associated changes in nutrient dynamics and
productivity.
This modelling exercise will start after Month 18.
References
Van der Peijl, M.J., Van Oorschot, M.M.P. & Verhoeven, J.T.A. (2000) Simulation of
the effects of nutrient enrichment on nutrient and carbon dynamics in a river marginal
wetland. Ecological Modelling, 134, 169-184.
Van der Peijl, M.J. & Verhoeven, J.T.A. (1999) A model for carbon, nitrogen and
phosphorus dynamics and their interactions in river marginal wetlands. Ecological
Modelling, 118, 95-130.
Van der Peijl, M.J. & Verhoeven, J.T.A. (2000) Carbon, nitrogen and phosphorus
cycling in river marginal wetlands; using a dynamic simulation model to examine the
importance of landscape geochemical flows. Biogeochemistry, 50, 45-71.
a0
a1
a2
weeknr
NNO3 p y
NNH4 p y
PAVAIL p y
unit
site
burntime
burnfract
site ud
area
porosity
burningfract ud
fert nno3
fert nnh4
orgmat%
unit user
orgmat% ud
unit
nnh4 fert
rdr ro max
vegetation type
rdr sh max
rrr ro max
vegetation type ud
sh max
rfr rod max
rfr shd max
k dr 1 max
rgr max
cconc pl
pmin
kmP
kmN
cn plws opt
cp plws opt
nmin
nretransfr
pretransfr
weeknr
nconc plws opt
pconc plws opt
k dr 0 max
~ sh ro ratio opt vt1
pads maxdw ud
froff
pads maxkm ads
weeknr
cn mo 0
depth
cp mo 0
bulkdens ud
km ads ud
unit
depth ud
frout
unit
pads maxdw
bulkdens
fert week
fert pavail
unit
cn mo 1
nno3 fert
pavail fert
herbivore species
biomass per animal
cp mo 1
rrr sh max
h0 h1
number herb per ha ud
herbivore species ud
unit
sh ro opt
net rgr herb
~ sh ro ratio opt vt2
upt ineff
rcr herb
harv week
cp herb opt
grazing y or nnumber herb per ha
pconc herb opt
rmpr
rrr herb
harv level
~ sh ro ratio opt vt3
~ sh ro ratio opt vt4
herb C per m2 begin
frin
cn manure
cn herb opt
cconc herb
nconc herb opt
01a. INITIALISATION, parameters 01b. INITIALISATION, parameters
VEGETATION
HYDROLOGY
GRAZING
- 1 -
nconc om begin ud
NNO3 begin ud
NNH4 begin ud
PAVAIL begin ud
PADS begin ud
nconc shd begin ud
BPL SHOOTD begin ud
pconc shd begin ud
nconc rod begin ud
BPL ROOTD begin ud
pconc rod begin ud
orgmat% ud
herbivore species ud
nconc pl begin ud
pconc pl begin ud
sh biom begin ud
number herb per ha ud
burningfract ud
pconc om begin ud
01c. INITIAL VALUES, UD
litter and dead rootssoil nutrients and organic
matter
NEW UNIT (UNIT=0)
management
vegetation
NEW VEGETATION TYPE (VEGETATION_TYPE=0)
NEW HERBIVORE SPECIES (HERBIVORE_SPECIES=0)
NEW SITE (SITE=0) give new parameters for temperature and atmospheric
deposition
give new herbivore species specific parameters
give new vegetation type specific
parameters
- 2 -
CPL SHOOTD
burntime
burnfract
Cfrag shd
Cdeath sh
Cleach shd
rsoiltemp
Cburn
rtemp
Ctrans
Cass
Cresp sh
CPL SHOOT
cd shd max
rtemp
rrr sh max
pconc plws
rdr sh max
Cgraz Cmethane
~mod ass
limit assP
kmP
pmin
mod herb s 0 or f 1
sh max
Cmethane s
rtemp
limit ass tot
rgr max
limit assN
nconc plws
kmN
nmin
rmpr
Cdec
Cdeni
cd rod max
Ndeni
cn deni
rsoiltemp
c dec
rfr rod max
CSOILOM
Cdeath ro
Cfrag rod
Cleach rod
Cmanure
CPL ROOTD
rfr shd max
CPL ROOT
Cresp ro
~rtemp inv
temp airC
~rtemp inv r
rdr ro max
upt ineff
rrr ro max
CHERB
Cfarmer
Cresp herb
Charv
km gr
sh ro opt
rsoiltemp
Charv s
Cresp herb s
Cgraz s
Cmanure s
mod herb s 0 or f 1
CHERB S
weeknr
harv levelupt ineff
Cherb totrrr herb
harv week
rcr herb
temp soilC~
mod ass
09. Carbon submodel
- 3 -
soilom begin
nconc om begin
unit
cconc om ud
orgmat%
nconc om begin ud
bulkdens
cconc soilom
CSOILOM ini
NSOILOM ini
biomass per animal
cconc herb
number herb per ha
cn herb optNHERB ini
CHERB ini
mod herb s 0 or f 1
NHERB STORE ini
CHERB STORE ini
herb C per m2 begin
pconc om begin
shd biomass begin
nconc shd begin
pconc shd begin
cconc pl
NNH4 begin
NNO3 begin
PAVAIL begin
PADS begin
unit
BPL SHOOTD begin ud
nconc shd begin ud
pconc om begin ud
NNH4 begin ud
NNO3 begin ud
PAVAIL begin ud
PADS begin ud
pconc shd begin ud
NPL STORE ini
PPL STORE ini
nconc pl begin
PSOILOM ini
NNH4 ini
NNO3 ini
PAVAIL ini
PADS ini
CPL SHOOTD ini
NPL SHOOTD ini
PPL SHOOTD ini
mode hyd
depth
sh biom begin ud
nconc pl begin ud
CPL SHOOT ini CPL ROOT ini
PHERB inicp herb opt
NPL SHOOT ini NPL ROOT ini
PHERB STORE ini
NPL STORE ini ud
PPL STORE ini ud
BPL ROOTD begin
nconc rod begin
pconc rod begin
cconc pl
BPL ROOTD begin ud
nconc rod begin ud
pconc rod begin ud
sh biom begin
pconc pl begin
CPL ROOTD ini
NPL ROOTD ini
PPL ROOTD ini
pconc pl begin ud
unit
sh ro opt
PPL SHOOT ini PPL ROOT ini
cconc pl
01d. INITIALISATION 01e INITIALISATION
SOIL
GRAZING
LITTER AND DEAD ROOTS
VEGETATION
- 7 -
BPL SHOOT
CPL SHOOT
NPL SHOOT
cn sh
PPL SHOOT
cp sh
CPLANT
NPLANT ws
PPLANT ws
cconc pl
pconc sh
nconc sh
BPLANT
sr pl
cn pl
cp pl
pconc plws
nconc plws
CPL ROOT
PPL ROOT
BPL ROOT
NPL ROOT
cn ro
cp ro
pconc ro
nconc ro
cconc pl
CPL SHOOTD
CPL ROOTD
NPL SHOOTD
NPL ROOTD
PPL ROOTD
PPL SHOOTD
CHERB
NHERB
PHERB
BPL SHOOTD
BPL ROOTDcconc pl
cn rod
cn shd
cp rod
cp shd
pconc rod
nnonc rod
pconc shd
nconc shd
BHERB
cconc soilom
CSOILOM
NSOILOM
PSOILOM
CHERB S
NHERB S
PHERB S
BSOILOM
cn soilom
cp soilom
BHERB STORE
cn herb
cp herb
pconc soilom
grazing y or n
nconc soilom
cconc herb
pconc herb
nnonc herb
Cherb tot
04. CN, CP ratios and nutrient conc
- 8 -
Nfarmer
Nharv
Nharv s
Ngraz s
NHERB S
cn herb
Charv s
grazing y or n
cn food
Cgraz s
Ngraz
Nleach shd
NmanureNHERB
Charv
Cmanure
cn manure
Nfrag shd
Cgraz
NSOILOM cn shd
Cleach shd Ndeath sh
Nburn a
Nburn s1
NPL SHOOTD
cn sh
sr pl
cn sh
Ntrans
Nretrans shNPL SHOOT
Cdeath shNPL STORE
burnratio
cn sh
burntime
burnfract
Nvol
Nmanure&urine s
NNH4 in
NNH4 out
Cfarmer
cn herb optcn manure
Cmanure s
CHERB S
NNH4 in flow
NNH4 out flow
nnh4 fertNnitrif
Nupt NH4
Ndec
Nleach rod
NNH4
Ndis nitr red
Nurine
rnitr max
mod nitrif
rsoiltemp
n dec
CHERB
Nfrag rod
NNO3 imm
cn rod
Cfrag rod
Cleach rod
nno3imm neg
nretransfr
Ndeath ro
Nupt NO3
Cfrag shd
NNO3
cn ro
NPL ROOTD
Cdeath ro
CPLANT
NPLANT ws
cn plws optnplav
nneed
Nretrans ro
Nremob
NPL ROOT
mod deni
nneed
rdenir max
nremobrate
weeknr
rvolr maxrsoiltemp
NNH4 p y
NNO3 inNNO3 p y
NNO3 in flow
nno3 fert
rsoiltempNdeni
Nburn s
NNO3 out
NNO3 out flow Nburn s1
10. Nitrogen submodel
- 9 -
~ox % u1
mode meas
ox mode
~ox % ud depth z
D
weeknr
b
temp depth eq
depth eq
temp soilC
temp airC
weeknr
a1a0a2
mode hyd
weeknr
~redox u2
~level u1
mod deni
mod nitrif
~mod ass
mod Pads
mod herb s 0 or f 1
redox mode
level mode
ox %
redox
level
wfp fc
surfw
unit
~
ox % u2
~redox u1
~level u2
~redox ud
~level ud
depth
water table hyd
h0
h1
wfp
rsoiltemp
minHl mo
rho25 mo Ha mo
Hl mo
Hh moTl mo
h
cn mo
CSOILOM
rtemp
minHl
temp airK
r rho25
Ha
Hl
HhTl Th
rsoil temp K
Th mo
rsoiltemp
cn crit cp crit
k dr max
cdec maxcp mo
k dr 1 max
cp mo 1
k dr 0 max
mode hyd
mode hyd
ox hyd
redox hyd
wat vgl data
cn mo 0
cn mo 1
cp mo 0
cn mo
k dr max
cp mo
NNO3
NNH4
ndec ul
nno3imm pot
ndec pot
PAVAIL
cn soilom
n dec
pdec ul
pdec pot
c dec
nno3imm neg
cdec potN
cdec potP
cp soilom
p decndec tot
h
05. controlling factors: mode 2
06. controling factors: temperature
07. decomposition/mineralisation/immobilisation
- 13 -
Wprecipitation
~rain mm monthweeknr
pt
Wet
porosity
mode meas
depth~wfp old
volume
wfp
WATER
Winfl
litres from prev unit
~ lit u 1 to 2
unit
~
dif mm month
weeknr
dif litres
cycl managem
c
NNO3 in flow
area
NNO3 from prev unit g
NNO3 conc DIF
Woutfl
NNO3
soilw fixed
soilw freesurfw
wfp fc
soilw out
froff
surfw off
NNO3 out flowpF
vol fraction
frout
NNH4
PAVAIL
NNH4 out flow
PAVAIL out flow
NNH4 from prev unit gNNH4 conc DIF
~
NNH4 from 1 to 2 gcycl managem
PAVAIL from prev unit g
NNH4 in flow
PAVAIL in flow
PAVAIL conc DIF
~
PAVAIL 1 to 2 g
~
NNO3 1 to 2 g unitsoilw out
NNO3 to next unit g
NNH4 to next unit g
area
PAVAIL to next unit g
liters to next unit
frin
08. hydro balance
- 14 -
Pharv s
PHERB S
cp herb
Pfarmer
Pharv
Charv s
grazing y or n Charv
CHERB
Pgraz s
PAVAIL p y
cp herb opt
CHERB S
cp food
Cgraz s
PHERB
Pupt
Pgraz
Pdec
Pleach shd
Pleach rod
Pmanure
Pmanure s
Pburn
Cleach shd
Cfarmer
p dec
burnfract
burntime
Pfrag shd
Pfrag rod
Cfrag shd
Cgraz
PPL SHOOTD
PSOILOM
PPL ROOTD
Cfrag rod
cp sh
cp rod
cp shd
Pdeath sh
Pdeath ro
Cdeath ro
PPL SHOOT
PPL ROOT
Cdeath sh
pretransfr
Ptrans
Pretrans sh
Pretrans ro
Premob
PPL STORE
sr pl
PAVAIL in
PAVAIL out
PAVAIL out flow
PAVAIL in flow
pavail fert
PAVAIL
Padsorb
Preleas
Cleach rod
PADS
pads eq
pads max
WATER
PAVAILkm ads
pconc
surfw
cp ro
CPLANT
PPLANT wspneed
cp plws opt
premobrate
weeknr
11. Phosphorus submodel
- 15 -
Winfl
Ncycle
Nleach rodNleach shd
Ndec
NNO3 imm Nburn s
PAVAIL in flow
pconc win
PPL SHOOTD
PPL ROOTD
NPL SHOOT
NPL ROOT
NPL STORE
NPL ROOTD
NPL SHOOTD
Pcycle
Pleach shd Pburn
Pleach rod
Pdec
nconc win
NNH4 in flowNNO3 in flow
NNO3
NNH4
Ninorg tot
Ppl totPHERB
PHERB SPpld totPherb tot
NHERB S
NHERB
NSOILOM
Nsoil tot
Npld totNherb tot
Npl tot
Nsystem tot
nplav
WoutflPAVAIL out flow
pconc wout
PPL STORE
PPL SHOOT
PPL ROOT
nconc wout
NNH4 out flowNNO3 out flow
Psoil tot
Psystem tot
PSOILOM
PAVAIL
PADS
cycling 02. Total N
water purification ?
03. Total P
- 19 -
Project no. GOCE-CT-2003-505540
Project acronym: Euro-limpacs
Project full name: Integrated Project to evaluate the Impacts of Global Change on
European Freshwater Ecosystems
Instrument type: Integrated Project
Priority name: Sustainable Development
Deliverable No. 53
Specification of wetland productivity model
B. Equations in STELLA 6.0 model
Due date of deliverable: Month 18
Actual submission date: Month 12
Start date of project: 1 February 2004 Duration: 5 Years
Organisation name of lead contractor for this deliverable: UU-Bio
Project co-funded by the European Commission within the Sixth Framework Programme (2002-2006)
Dissemination Level (tick appropriate box)
PU Public PU
PP Restricted to other programme participants (including the Commission Services)
RE Restricted to a group specified by the consortium (including the Commission Services)
CO Confidential, only for members of the consortium (including the Commission Services)
01a. INITIALISATION, parameters
a0 = if site=1 then 9.840757 else if site=2 then 12 else 9.840757
a1 = if site=1 then 5.479941 else if site=2 then 6 else 5.479941
a2 = if site=1 then 34.886267 else if site=2 then 40 else 34.886267
area = if unit=1 then 130*360 else if unit=2 then 130*70 else if unit=3 then 182698.4 else 130*360
bulkdens = if unit=0 then bulkdens_ud else (if unit=1 then 0.47 else if unit=2 then 0.77 else if unit=3 then 0.96
else 0.47)
bulkdens_ud = .47
burnfract = if unit=0 then burningfract_ud else if unit=1 then 0*0.8 else if unit=2 then 0.0 else if unit=3 then
0.0 else 0.0
burningfract_ud = 0.8
burntime = IF unit=1 THEN pulse(1,56,156) ELSE pulse(1,56,156)
cn_mo_0 = if unit=1 then 4.5 else if unit=2 then 17 else if unit=3 then 10 else 10
cn_mo_1 = if unit=1 then 3.5 else if unit=2 then 6.25 else if unit=3 then 5 else 5
cp_mo_0 = if unit=1 then 110 else if unit=2 then 110 else if unit=3 then 110 else 110
cp_mo_1 = if unit=1 then 80 else if unit=2 then 60 else if unit=3 then 60 else 60
depth = if unit=0 then depth_ud else if unit=1 then 0.2 else if unit=2 then 0.2 else if unit=3 then 0.2 else
depth_ud
depth_ud = 0.2
fert_nnh4 = 0
fert_nno3 = 0
fert_pavail = 0
fert_week = 0
frin = if unit=1 then 0.01 else 1
froff = if unit=1 then 1 else if unit=2 then 0.95 else if unit=3 then 0.8 else 1
frout = if unit=1 then 0.2 else if unit=2 then 0.95 ELSE IF unit=3 then 0.2 else 0.2
h0 = if unit=1 then 0.1 else if unit=2 then 0.1 else if unit=3 then 0.1 else 0.1
h1 = if unit=1 then 0.5 else if unit=2 then 0.5 else if unit=3 then 0.5 else 0.5
km_ads = if unit=0 then km_ads_ud else (if unit=1 then 12.47 else if unit=2 then 6.09 else if unit=3 then 3.06
else 12.47)
km_ads_ud = 10.95
nnh4_fert = if (int(weeknr)=int(fert_week)) then fert_nnh4 else 0
NNH4_p_y = if site=1 then 0.4 else if site=2 then 0.6 else if site=3 then 0.4 else 0.4
nno3_fert = if (int(weeknr)=int(fert_week)) then fert_nno3 else 0
NNO3_p_y = if site=1 then 0.4 else if site=2 then 0.6 else if site=3 then 0.4 else 0.4
orgmat% = if unit=0 then orgmat%_ud else if unit=1 then 23.1 else if unit=2 then 14.4 else if unit=3 then 9.54
else orgmat%_ud
orgmat%_ud = 23.1
pads_max = pads_maxdw*bulkdens*depth
pads_maxdw = if unit=0 then pads_maxdw_ud else (if unit=1 then 1299 else if unit=2 then 1172 else if unit=3
then 1325 else 1299)
pads_maxdw_ud = 1334
pavail_fert = if (int(weeknr)=int(fert_week)) then fert_pavail else 0
PAVAIL_p_y = if site=1 then 0.01 else if site=2 then 0.01 else if site=3 then 0.01 else 0.01
- 1 -
porosity = if unit=1 then 0.8 else if unit=2 then 0.7 else if unit=3 then 0.58 else 0.8
site = if unit=0 then site_ud else if unit=1 then 1 else if unit=2 then 1 else if unit=3 then 2 else site_ud
site_ud = 1
unit = if (unit_user<0.5) then 0 else (if (unit_user>=0.5 and unit_user<1.5) then 1 else ( if (unit_user>=1.5 and
unit_user<2.5) then 2 else (if (unit_user>=2.5 and unit_user < 3.5) then 3 else 1 )))
unit_user = 1
weeknr = mod((time-1),52)+1
01b. INITIALISATION, parameters
biomass_per_animal = if herbivore_species = 1 then 800 else
(if herbivore_species = 2 then 60 else 0)
cconc_herb = if herbivore_species=1 then 0.091 else 0.091
cconc_pl = if vegetation_type<10 then 0.45 else 0.45
cn_herb_opt = cconc_herb/nconc_herb_opt
cn_manure = if herbivore_species=1 then 40 else 40
cn_plws_opt = cconc_pl/nconc_plws_opt
cp_herb_opt = cconc_herb/pconc_herb_opt
cp_plws_opt = cconc_pl/pconc_plws_opt
grazing_y_or_n = if number_herb_per_ha = 0 then 0 else 1
harv_level = exp(net_rgr_herb*(harv_week-53))*herb_C_per_m2_begin
harv_week = if herbivore_species=1 then 40 else 40
herbivore_species = if unit=0 then herbivore_species_ud else if unit=1 then 1 else if unit=2 then 1 else
herbivore_species_ud
herbivore_species_ud = 1
kmN = nmin+(nconc_plws_opt-nmin)/9
kmP = pmin+(pconc_plws_opt-pmin)/9
k_dr_0_max = ( if vegetation_type=1 then 0.77*0.0001 else if vegetation_type=2 then 0.77*0.0005 else if
vegetation_type=3 then 0.77* 0.0005 else 0.77*0.001)/0.20558
k_dr_1_max = ( if vegetation_type=1 then 0.77* 0.001 else if vegetation_type=2 then 0.77*0.005 else if
vegetation_type=3 then 0.77*0.0005 else 0.77*0.006)/0.20558
nconc_herb_opt = if herbivore_species=1 then 0.024 else 0.024
nconc_plws_opt = if vegetation_type=1then 0.030 else if vegetation_type=2 then 0.030 else if
vegetation_type=3 then 0.030 else 0.030
net_rgr_herb = rcr_herb*(1-rmpr-upt_ineff)-rrr_herb
nmin = 0.0016
nretransfr = if vegetation_type=1 then 0.4 else if vegetation_type=2 then 0.2 else if vegetation_type=3 then 0.3
else 0.4
number_herb_per_ha = if unit=0 then number_herb_per_ha_ud else if unit=1 then 0.3 else if unit=2 then 0.3
else if unit=3 then 0.6 else number_herb_per_ha_ud
number_herb_per_ha_ud = 0.3
pconc_herb_opt = if herbivore_species=1 then 0.00575 else 0.00575
pconc_plws_opt = if vegetation_type=1 then 0.0015 else if vegetation_type = 2 then 0.002 else if
vegetation_type=3 then 0.0015 else 0.0015
pmin = 0.00008
- 2 -
pretransfr = if vegetation_type=1 then 0.77 else if vegetation_type=2 then 0.2 else if vegetation_type=3 then
0.3 else 0.6
rcr_herb = if herbivore_species=1 then 0.1135 else 0.1135
rdr_ro_max = if vegetation_type=1 then 0.01 else if vegetation_type=2 then 0.1 else if vegetation_type=3 then
0.0005 else 0.1
rdr_sh_max = if vegetation_type=1 then 0.04 else if vegetation_type=2 then 0.1 else if vegetation_type=3 then
0.0005 else 0.1
rfr_rod_max = if vegetation_type=1 then 0.0012/0.20558 else if vegetation_type=2 then 0.08/0.20558 else if
vegetation_type=3 then 0.0005/0.20558 else 0.02/0.20558
rfr_shd_max = if vegetation_type=1 then 0.0004/0.20743 else if vegetation_type=2 then 0.04/0.20743 else if
vegetation_type=3 then 0.0005/0.20743 else 0.02/0.20743
rgr_max = if vegetation_type=1 then 1.7*0.81 else if vegetation_type=2 then 5.5*0.81 else if
vegetation_type=3 then 3*0.81 else 5*0.81
rmpr = if herbivore_species=1 then 0.0787665 else 0.0787665
rrr_herb = if herbivore_species=1 then 0.03565 else 0.03565
rrr_ro_max = if vegetation_type=1 then 0.01/0.20558 else if vegetation_type=2 then 0.07/0.20558 else if
vegetation_type=3 then 0.0005/0.20558 else 0.07
rrr_sh_max = if vegetation_type=1 then 0.1/0.20743 else if vegetation_type=2 then 0.15/0.20743 else if
vegetation_type=3 then 0.0005/0.207 else 0.15/0.20743
sh_max = if vegetation_type=1 then 300 else if vegetation_type=2 then 1000 else if vegetation_type=3 then
600 else 1000
sh_ro_opt = if vegetation_type=1 then sh_ro_ratio_opt_vt1 else if vegetation_type=2 then sh_ro_ratio_opt_vt2
else if vegetation_type=3 then sh_ro_ratio_opt_vt3 else if vegetation_type=4 then sh_ro_ratio_opt_vt4 else
sh_ro_ratio_opt_vt1
upt_ineff = if herbivore_species=1 then 0.55 else 0.55
vegetation_type = if unit=0 then vegetation_type_ud else if unit=1 then 1 else if unit=2 then 2 else if unit=3
then 3 else vegetation_type_ud
vegetation_type_ud = 1
sh_ro_ratio_opt_vt1 = GRAPH(weeknr)
(1.00, 0.065), (2.00, 0.065), (3.00, 0.065), (4.00, 0.067), (5.00, 0.07), (6.00, 0.07), (7.00, 0.07), (8.00, 0.07),
(9.00, 0.07), (10.0, 0.07), (11.0, 0.075), (12.0, 0.08), (13.0, 0.09), (14.0, 0.095), (15.0, 0.1), (16.0, 0.105), (17.0,
0.115), (18.0, 0.12), (19.0, 0.13), (20.0, 0.145), (21.0, 0.155), (22.0, 0.175), (23.0, 0.21), (24.0, 0.25), (25.0,
0.295), (26.0, 0.335), (27.0, 0.375), (28.0, 0.405), (29.0, 0.44), (30.0, 0.46), (31.0, 0.47), (32.0, 0.47), (33.0,
0.47), (34.0, 0.465), (35.0, 0.455), (36.0, 0.44), (37.0, 0.41), (38.0, 0.375), (39.0, 0.335), (40.0, 0.285), (41.0,
0.235), (42.0, 0.185), (43.0, 0.145), (44.0, 0.12), (45.0, 0.1), (46.0, 0.09), (47.0, 0.08), (48.0, 0.075), (49.0,
0.065), (50.0, 0.065), (51.0, 0.065), (52.0, 0.065), (53.0, 0.065)
sh_ro_ratio_opt_vt2 = GRAPH(weeknr)
(1.00, 0.54), (2.00, 0.57), (3.00, 0.57), (4.00, 0.57), (5.00, 0.56), (6.00, 0.55), (7.00, 0.56), (8.00, 0.57), (9.00,
0.57), (10.0, 0.6), (11.0, 0.61), (12.0, 0.65), (13.0, 0.7), (14.0, 0.75), (15.0, 0.8), (16.0, 0.85), (17.0, 0.9), (18.0,
0.96), (19.0, 1.11), (20.0, 1.26), (21.0, 1.40), (22.0, 1.51), (23.0, 1.62), (24.0, 1.71), (25.0, 1.77), (26.0, 1.77),
(27.0, 1.77), (28.0, 1.81), (29.0, 1.80), (30.0, 1.78), (31.0, 1.78), (32.0, 1.78), (33.0, 1.77), (34.0, 1.74), (35.0,
1.70), (36.0, 1.62), (37.0, 1.52), (38.0, 1.41), (39.0, 1.25), (40.0, 1.15), (41.0, 1.02), (42.0, 0.88), (43.0, 0.79),
(44.0, 0.69), (45.0, 0.62), (46.0, 0.59), (47.0, 0.57), (48.0, 0.56), (49.0, 0.55), (50.0, 0.55), (51.0, 0.55), (52.0,
0.54), (53.0, 0.54)
- 3 -
sh_ro_ratio_opt_vt3 = GRAPH(weeknr)
(1.00, 0.065), (2.00, 0.065), (3.00, 0.065), (4.00, 0.067), (5.00, 0.07), (6.00, 0.07), (7.00, 0.07), (8.00, 0.07),
(9.00, 0.07), (10.0, 0.07), (11.0, 0.075), (12.0, 0.08), (13.0, 0.09), (14.0, 0.095), (15.0, 0.1), (16.0, 0.105), (17.0,
0.115), (18.0, 0.12), (19.0, 0.13), (20.0, 0.145), (21.0, 0.155), (22.0, 0.175), (23.0, 0.21), (24.0, 0.25), (25.0,
0.295), (26.0, 0.335), (27.0, 0.375), (28.0, 0.405), (29.0, 0.44), (30.0, 0.46), (31.0, 0.47), (32.0, 0.47), (33.0,
0.47), (34.0, 0.465), (35.0, 0.455), (36.0, 0.44), (37.0, 0.41), (38.0, 0.375), (39.0, 0.335), (40.0, 0.285), (41.0,
0.235), (42.0, 0.185), (43.0, 0.145), (44.0, 0.12), (45.0, 0.1), (46.0, 0.09), (47.0, 0.08), (48.0, 0.075), (49.0,
0.065), (50.0, 0.065), (51.0, 0.065), (52.0, 0.065), (53.0, 0.065)
sh_ro_ratio_opt_vt4 = GRAPH(weeknr)
(1.00, 0.065), (2.00, 0.065), (3.00, 0.065), (4.00, 0.067), (5.00, 0.07), (6.00, 0.07), (7.00, 0.07), (8.00, 0.07),
(9.00, 0.07), (10.0, 0.07), (11.0, 0.075), (12.0, 0.08), (13.0, 0.09), (14.0, 0.095), (15.0, 0.1), (16.0, 0.105), (17.0,
0.115), (18.0, 0.12), (19.0, 0.13), (20.0, 0.145), (21.0, 0.155), (22.0, 0.175), (23.0, 0.21), (24.0, 0.25), (25.0,
0.295), (26.0, 0.335), (27.0, 0.375), (28.0, 0.405), (29.0, 0.44), (30.0, 0.46), (31.0, 0.47), (32.0, 0.47), (33.0,
0.47), (34.0, 0.465), (35.0, 0.455), (36.0, 0.44), (37.0, 0.41), (38.0, 0.375), (39.0, 0.335), (40.0, 0.285), (41.0,
0.235), (42.0, 0.185), (43.0, 0.145), (44.0, 0.12), (45.0, 0.1), (46.0, 0.09), (47.0, 0.08), (48.0, 0.075), (49.0,
0.065), (50.0, 0.065), (51.0, 0.065), (52.0, 0.065), (53.0, 0.065)
01d. INITIALISATION
BPL_ROOTD_begin = if unit=0 then BPL_ROOTD_begin_ud else if unit=1 then 4000/2 else if unit=2 then
600/2 else if unit=3 then 100 else BPL_ROOTD_begin_ud
BPL_ROOTD_begin_ud = 4000/2
BPL_SHOOTD_begin_ud = 250
cconc_om_ud = 0.53
cconc_soilom = if unit=0 then cconc_om_ud else 0.53
CPL_ROOTD_ini = BPL_ROOTD_begin*cconc_pl
CPL_SHOOTD_ini = shd_biomass_begin*cconc_pl
CSOILOM_ini = soilom_begin*cconc_soilom*depth*10
nconc_om_begin = if unit=0 then nconc_om_begin_ud else if unit=1 then 0.02858 else if unit=2 then 0.03714
else if unit=3 then 0.03466 else nconc_om_begin_ud
nconc_om_begin_ud = 0.0259
nconc_rod_begin = if unit=0 then nconc_rod_begin_ud else if unit=1 then 0.00796 else if unit=2 then 0.01293
else if unit=3 then 0.012 else nconc_rod_begin_ud
nconc_rod_begin_ud = 0.00747
nconc_shd_begin = if unit=0 then nconc_shd_begin_ud else if unit=1 then 0.00796 else if unit=2 then 0.01293
else if unit=3 then 0.012 else nconc_shd_begin_ud
nconc_shd_begin_ud = 0.00796
NNH4_begin = if unit=0 then NNH4_begin_ud else if unit=1 then 1.01 else if unit=2 then 1.27 else if unit=3
then 1 else NNH4_begin_ud
NNH4_begin_ud = 1.01
NNH4_ini = (0.8*NNH4_begin + (0.2*NNH4_begin+0.8*NNO3_begin)*(1-mode_hyd))*depth*10
NNO3_begin = if unit=0 then NNO3_begin_ud else if unit=1 then 0.000 else if unit=2 then 0.032 else if unit=3
then 0.05 else NNO3_begin_ud
NNO3_begin_ud = .000
NNO3_ini = (0.2*NNO3_begin + (0.2*NNH4_begin+0.8*NNO3_begin)*mode_hyd)*depth*10
NPL_ROOTD_ini = nconc_rod_begin*BPL_ROOTD_begin
- 4 -
NPL_SHOOTD_ini = nconc_shd_begin*shd_biomass_begin
NSOILOM_ini = nconc_om_begin*soilom_begin*depth*10
PADS_begin = if unit=0 then PADS_begin_ud else if unit=1 then 6.56 else if unit=2 then 16.87 else if unit=3
then 81.06 else PADS_begin_ud
PADS_begin_ud = 5.04
PADS_ini = PADS_begin*depth*10
PAVAIL_begin = if unit=0 then PAVAIL_begin_ud else if unit=1 then 0.0768 else if unit=2 then 0.0606 else if
unit=3 then 1.216 else PAVAIL_begin_ud
PAVAIL_begin_ud = 0.0768
PAVAIL_ini = PAVAIL_begin*depth*10
pconc_om_begin = if unit=0 then pconc_om_begin_ud else if unit=1 then 0.001328 else if unit=2 then
0.004325 else if unit=3 then 0.004330 else pconc_om_begin_ud
pconc_om_begin_ud = 0.53/567
pconc_rod_begin = if unit=0 then pconc_rod_begin_ud else if unit=1 then 0.00034 else if unit=2 then 0.00124
else if unit=3 then 0.0015 else pconc_rod_begin_ud
pconc_rod_begin_ud = 0.00031
pconc_shd_begin = if unit=0 then pconc_shd_begin_ud else if unit =1 then 0.00034 else if unit=2 then 0.00124
else if unit=3 then 0.0015 else pconc_shd_begin_ud
pconc_shd_begin_ud = 0.00034
PPL_ROOTD_ini = pconc_rod_begin*BPL_ROOTD_begin
PPL_SHOOTD_ini = pconc_shd_begin*shd_biomass_begin
PSOILOM_ini = pconc_om_begin*soilom_begin*depth*10
shd_biomass_begin = if unit=0 then BPL_SHOOTD_begin_ud else if unit=1 then 250 else if unit=2 then 1145
else if unit=3 then 60 else BPL_SHOOTD_begin_ud
soilom_begin = bulkdens*orgmat%*1000
01e INITIALISATION
CHERB_ini = mod_herb_s_0_or_f_1*herb_C_per_m2_begin
CHERB_STORE_ini = (1-mod_herb_s_0_or_f_1)*herb_C_per_m2_begin
CPL_ROOT_ini = CPL_SHOOT_ini/sh_ro_opt
CPL_SHOOT_ini = sh_biom_begin*cconc_pl
herb_C_per_m2_begin = number_herb_per_ha * biomass_per_animal * cconc_herb / 10
nconc_pl_begin = if unit=0 then nconc_pl_begin_ud else if unit=1 then 0.01111 else if unit=2 then 0.01774
else if unit=3 then 0.035 else nconc_pl_begin_ud
nconc_pl_begin_ud = 0.01111
NHERB_ini = CHERB_ini/cn_herb_opt
NHERB_STORE_ini = CHERB_STORE_ini/cn_herb_opt
NPL_ROOT_ini = NPL_SHOOT_ini/sh_ro_opt
NPL_SHOOT_ini = nconc_pl_begin*sh_biom_begin
NPL_STORE_ini = if unit=0 then NPL_STORE_ini_ud else if unit=1 then 0.5 else if unit=2 then 1.0 else if
unit=3 then 1.0 else NPL_STORE_ini_ud
NPL_STORE_ini_ud = 0.5
pconc_pl_begin = if unit=0 then pconc_pl_begin_ud else if unit=1 then 0.00081 else if unit=2 then 0.00165
else if unit=3 then 0.0024 else pconc_pl_begin_ud
pconc_pl_begin_ud = 0.00081
- 5 -
PHERB_ini = CHERB_ini/cp_herb_opt
PHERB_STORE_ini = CHERB_STORE_ini/cp_herb_opt
PPL_ROOT_ini = PPL_SHOOT_ini/sh_ro_opt
PPL_SHOOT_ini = pconc_pl_begin*sh_biom_begin
PPL_STORE_ini = if unit=0 then PPL_STORE_ini_ud else if unit=1 then 0.2 else if unit=2 then 0.8 else if
unit=3 then 0.8 else PPL_STORE_ini_ud
PPL_STORE_ini_ud = 0.2
sh_biom_begin = if unit=0 then sh_biom_begin_ud else if unit=1 then 60 else if unit=2 then 310 else if unit=3
then 60 else sh_biom_begin_ud
sh_biom_begin_ud = 60
02. Total N
Nherb_tot = NHERB+NHERB_S
Ninorg_tot = NNH4+NNO3
nplav = (NNH4-0.001)+(NNO3-0.001)
Npld_tot = NPL_SHOOTD+NPL_ROOTD
Npl_tot = NPL_SHOOT+NPL_ROOT+NPL_STORE
Nsoil_tot = Ninorg_tot+NSOILOM
Nsystem_tot = Npl_tot+Nherb_tot+Nsoil_tot+Npld_tot
03. Total P
Pherb_tot = PHERB+PHERB_S
Ppld_tot = PPL_ROOTD+PPL_SHOOTD
Ppl_tot = PPL_ROOT+PPL_SHOOT+PPL_STORE
Psoil_tot = PSOILOM+PADS+PAVAIL
Psystem_tot = Ppld_tot+Pherb_tot+Ppl_tot+Psoil_tot
04. CN, CP ratios and nutrient conc
BHERB = CHERB/cconc_herb
BHERB_STORE = CHERB_S/cconc_herb
BPLANT = BPL_SHOOT+BPL_ROOT
BPL_ROOT = CPL_ROOT/cconc_pl
BPL_ROOTD = CPL_ROOTD/cconc_pl
BPL_SHOOT = CPL_SHOOT/cconc_pl
BPL_SHOOTD = CPL_SHOOTD/cconc_pl
BSOILOM = CSOILOM/cconc_soilom
Cherb_tot = CHERB+CHERB_S
cn_herb = if (grazing_y_or_n = 1) then (CHERB+CHERB_S)/(NHERB+NHERB_S) else 0
cn_pl = CPLANT/NPLANT_ws
cn_ro = CPL_ROOT/NPL_ROOT
cn_rod = CPL_ROOTD/NPL_ROOTD
cn_sh = CPL_SHOOT/NPL_SHOOT
cn_shd = CPL_SHOOTD/NPL_SHOOTD
cn_soilom = CSOILOM/NSOILOM
CPLANT = CPL_SHOOT+CPL_ROOT
- 6 -
cp_herb = if (grazing_y_or_n = 1) then (CHERB+CHERB_S)/(PHERB+PHERB_S) else 0
cp_pl = CPLANT/PPLANT_ws
cp_ro = CPL_ROOT/PPL_ROOT
cp_rod = CPL_ROOTD/PPL_ROOTD
cp_sh = CPL_SHOOT/PPL_SHOOT
cp_shd = CPL_SHOOTD/PPL_SHOOTD
cp_soilom = CSOILOM/PSOILOM
nconc_plws = NPLANT_ws/BPLANT
nconc_ro = NPL_ROOT/BPL_ROOT
nconc_sh = NPL_SHOOT/BPL_SHOOT
nconc_shd = NPL_SHOOTD/BPL_SHOOTD
nconc_soilom = NSOILOM/BSOILOM
nnonc_herb = if grazing_y_or_n = 1
then (NHERB + NHERB_S) / (BHERB + BHERB_STORE)
else 0
nnonc_rod = NPL_ROOTD/BPL_ROOTD
NPLANT_ws = NPL_SHOOT+NPL_ROOT
pconc_herb = if grazing_y_or_n = 1
then (PHERB+PHERB_S)/(BHERB+BHERB_STORE)
else 0
pconc_plws = PPLANT_ws/BPLANT
pconc_ro = PPL_ROOT/BPL_ROOT
pconc_rod = PPL_ROOTD/BPL_ROOTD
pconc_sh = PPL_SHOOT/BPL_SHOOT
pconc_shd = PPL_SHOOTD/BPL_SHOOTD
pconc_soilom = PSOILOM/BSOILOM
PPLANT_ws = PPL_SHOOT+PPL_ROOT
sr_pl = CPL_SHOOT/CPL_ROOT
05. controlling factors: mode 2
cn_mo = 1/(1/cn_mo_0+(1/cn_mo_1-1/cn_mo_0)*mode_hyd)
cp_mo = 1/(1/cp_mo_0+(1/cp_mo_1-1/cp_mo_0)*mode_hyd)
h = h0+(h1-h0)*mode_hyd
k_dr_max = k_dr_0_max+(k_dr_1_max-k_dr_0_max)*mode_hyd
level = if unit=0 then level_ud else if unit=1 then level_u1 else level_u2
level_mode = if (level<-15) then 1 else level/-15
mode_hyd = min(1,max(0, ((1-wfp)/(1-wfp_fc))))
mode_meas = (level_mode+0.5*delay(level_mode,1)+0.5*delay(level_mode,2)+ ox_mode+redox_mode)/4
mod_deni = 1-mode_hyd
mod_herb_s_0_or_f_1 = if weeknr<43 and weeknr>19 then
( if (mode_hyd>0.6) then 1 else 0 ) else 0
mod_nitrif = mode_hyd
mod_Pads = (1.2-mode_hyd)/1.2
ox_% = if unit=0 then ox_%_ud else (if unit=1 then ox_%_u1 else ox_%_u2)
ox_hyd = mode_hyd*14 +4
- 7 -
ox_mode = if (ox_%>18) then 1 else if ox_%<4 then 0 else (ox_%-4)/14
redox = if unit=0 then redox_ud else if unit=1 then redox_u1 else redox_u2
redox_hyd = -38.57+14.52*ox_hyd
redox_mode = if redox<20 then 0 else (if redox>223 then 1 else (redox-20)/203)
water_table_hyd = if surfw>0 then surfw/-1000 else depth*mode_hyd
wat_vgl_data = water_table_hyd*-100
level_u1 = GRAPH(weeknr)
(1.00, 0.00), (3.08, 0.00), (5.16, 0.00), (7.24, -0.3), (9.32, 0.00), (11.4, -0.5), (13.5, 0.00), (15.6, -0.8), (17.6,
-0.5), (19.7, -14.5), (21.8, -21.0), (23.9, -16.0), (26.0, -20.4), (28.0, -33.0), (30.1, -8.50), (32.2, -8.00), (34.3,
-11.2), (36.4, -8.50), (38.4, -2.80), (40.5, -2.50), (42.6, -1.30), (44.7, -1.30), (46.8, -0.3), (48.8, -0.3), (50.9,
-0.8), (53.0, 0.00)
level_u2 = GRAPH(weeknr)
(1.00, -15.5), (3.08, -27.0), (5.16, -45.0), (7.24, -33.0), (9.32, -26.0), (11.4, -50.0), (13.5, -40.0), (15.6, -31.5),
(17.6, -23.0), (19.7, -57.5), (21.8, -72.5), (23.9, -69.0), (26.0, -50.0), (28.0, -36.0), (30.1, -36.5), (32.2, -39.0),
(34.3, -55.0), (36.4, -6.00), (38.4, -20.5), (40.5, -33.0), (42.6, -24.0), (44.7, -5.00), (46.8, -2.50), (48.8, -20.5),
(50.9, -10.5), (53.0, -15.5)
level_ud = GRAPH(weeknr)
(1.00, 0.00), (3.08, 0.00), (5.16, 0.00), (7.24, -0.3), (9.32, 0.00), (11.4, -0.5), (13.5, 0.00), (15.6, -0.8), (17.6,
-0.5), (19.7, -14.5), (21.8, -21.0), (23.9, -16.0), (26.0, -20.4), (28.0, -33.0), (30.1, -8.50), (32.2, -8.00), (34.3,
-11.2), (36.4, -8.50), (38.4, -2.80), (40.5, -2.50), (42.6, -1.30), (44.7, -1.30), (46.8, -0.3), (48.8, -0.3), (50.9,
-0.8), (53.0, 0.00)
mod_ass = GRAPH(mode_hyd)
(0.00, 0.8), (0.1, 0.82), (0.2, 0.84), (0.3, 0.86), (0.4, 0.88), (0.5, 0.9), (0.6, 0.92), (0.7, 0.94), (0.8, 0.96), (0.9,
0.98), (1, 1.00)
ox_%_u1 = GRAPH(weeknr)
(1.00, 4.40), (3.08, 3.00), (5.16, 5.80), (7.24, 4.10), (9.32, 4.70), (11.4, 10.9), (13.5, 11.0), (15.6, 11.3), (17.6,
7.40), (19.7, 8.90), (21.8, 17.0), (23.9, 15.9), (26.0, 20.1), (28.0, 20.3), (30.1, 17.6), (32.2, 8.80), (34.3, 14.6),
(36.4, 16.7), (38.4, 14.8), (40.5, 9.60), (42.6, 8.60), (44.7, 7.00), (46.8, 3.80), (48.8, 3.40), (50.9, 4.50), (53.0,
4.40)
ox_%_u2 = GRAPH(weeknr)
(1.00, 20.5), (3.08, 18.9), (5.16, 20.1), (7.24, 19.4), (9.32, 19.6), (11.4, 19.0), (13.5, 17.7), (15.6, 19.1), (17.6,
16.3), (19.7, 18.2), (21.8, 18.6), (23.9, 19.6), (26.0, 18.9), (28.0, 20.5), (30.1, 19.5), (32.2, 16.8), (34.3, 19.0),
(36.4, 14.1), (38.4, 18.8), (40.5, 17.3), (42.6, 19.2), (44.7, 15.9), (46.8, 17.8), (48.8, 9.40), (50.9, 18.6), (53.0,
20.5)
ox_%_ud = GRAPH(weeknr)
(1.00, 4.40), (3.08, 3.00), (5.16, 5.80), (7.24, 4.10), (9.32, 4.70), (11.4, 10.9), (13.5, 11.0), (15.6, 11.3), (17.6,
7.40), (19.7, 8.90), (21.8, 17.0), (23.9, 15.9), (26.0, 20.1), (28.0, 20.3), (30.1, 17.6), (32.2, 8.80), (34.3, 14.6),
(36.4, 16.7), (38.4, 14.8), (40.5, 9.60), (42.6, 8.60), (44.7, 7.00), (46.8, 3.80), (48.8, 3.40), (50.9, 4.50), (53.0,
4.40)
redox_u1 = GRAPH(weeknr)
(1.00, -25.0), (3.08, 5.00), (5.16, 59.0), (7.24, -84.0), (9.32, -136), (11.4, -66.0), (13.5, 18.0), (15.6, -299),
(17.6, -83.0), (19.7, 27.0), (21.8, -3.00), (23.9, -63.0), (26.0, 35.0), (28.0, 121), (30.1, 115), (32.2, -71.0), (34.3,
0.00), (36.4, 145), (38.4, -9.00), (40.5, 36.0), (42.6, -55.0), (44.7, 28.0), (46.8, 18.0), (48.8, 0.00), (50.9, -21.0),
(53.0, -25.0)
- 8 -
redox_u2 = GRAPH(weeknr)
(1.00, 257), (3.08, 228), (5.16, 305), (7.24, 206), (9.32, 209), (11.4, 327), (13.5, 395), (15.6, 468), (17.6, 254),
(19.7, 344), (21.8, 251), (23.9, 289), (26.0, 177), (28.0, 197), (30.1, 379), (32.2, 280), (34.3, 469), (36.4, 358),
(38.4, 181), (40.5, 387), (42.6, 142), (44.7, 60.0), (46.8, -5.00), (48.8, 198), (50.9, 149), (53.0, 257)
redox_ud = GRAPH(weeknr)
(1.00, -25.0), (3.08, 5.00), (5.16, 59.0), (7.24, -84.0), (9.32, -136), (11.4, -66.0), (13.5, 18.0), (15.6, -299),
(17.6, -83.0), (19.7, 27.0), (21.8, -3.00), (23.9, -63.0), (26.0, 35.0), (28.0, 121), (30.1, 115), (32.2, -71.0), (34.3,
0.00), (36.4, 145), (38.4, -9.00), (40.5, 36.0), (42.6, -55.0), (44.7, 28.0), (46.8, 18.0), (48.8, 0.00), (50.9, -21.0),
(53.0, -25.0)
06. controling factors: temperature
b = 1/D
D = 2.5
depth_eq = 100
depth_z = 0.20
Ha = 6476
Ha_mo = 6476
Hh = 68584
Hh_mo = 68584
Hl = -1*minHl
Hl_mo = -1*minHl_mo
minHl = 343181
minHl_mo = 343181
r = 1.987
rho25 = 0.79
rho25_mo = 0.79
rsoiltemp =
rho25_mo*soil_temp_K/298*10^(Ha_mo/r*(1/298-1/soil_temp_K))/(1+(10^(Hl_mo/r*(1/Tl_mo-1/soil_temp_
K)))+(10^(Hh_mo/r*(1/Th_mo-1/soil_temp_K))))
rtemp =
rho25*temp_airK/298*10^(Ha/r*(1/298-1/temp_airK))/(1+(10^(Hl/r*(1/Tl-1/temp_airK)))+(10^(Hh/r*(1/Th-1
/temp_airK))))
soil_temp_K = temp_soilC+273
temp_airC = a0+a1*SIN(2*PI/52*(weeknr+a2))
temp_airK = temp_airC+273
temp_depth_eq = 12
temp_soilC = a0+a1*2.7182818^(-b*depth_z)*SIN(2*PI/52*(weeknr+a2)-b*depth_z)+
(temp_depth_eq-a0)*depth_z/depth_eq
Th = 304
Th_mo = 304
Tl = 273
Tl_mo = 273
07. decomposition/mineralisation/immobilisation
cdec_max = rsoiltemp*k_dr_max*CSOILOM
- 9 -
cdec_potN = (ndec_pot+nno3imm_pot)*(1-h)/(1/cn_soilom-1/cn_crit)
cdec_potP = pdec_pot*(1-h)/(1/cp_soilom-1/cp_crit)
cn_crit = cn_mo/h
cp_crit = cp_mo/h
c_dec = min(cdec_potN,cdec_potP)
ndec_pot = if (ndec_ul>=0) then ndec_ul else (if (NNH4-0.001<=0) then 0 else max(-1*(NNH4-0.001),
ndec_ul) )
ndec_tot = (1/cn_soilom-1/cn_crit)*c_dec/(1-h)
ndec_ul = (1/cn_soilom-1/cn_crit)*cdec_max/(1-h)
nno3imm_neg = if (ndec_tot>=0 or (NNO3-0.0005<=0 or n_dec>=ndec_tot)) then 0 else
(max(-1*(NNO3-0.0005) , ndec_tot - n_dec))
nno3imm_pot = if (ndec_ul >= 0 or (NNO3-0.0005<=0 or ndec_pot<=ndec_ul)) then 0 else max (
-1*(NNO3-0.0005) , (ndec_ul - ndec_pot) )
n_dec = if ndec_tot >=0 then ndec_tot else ( if NNH4-0.001<=0 then 0 else max(-1*(NNH4-0.001) , ndec_tot)
)
pdec_pot = if pdec_ul>=0
then pdec_ul
else ( if PAVAIL-0.0001<=0
then 0
else max(-1*(PAVAIL-0.0001),pdec_ul)
)
pdec_ul = (1/cp_soilom-1/cp_crit)*cdec_max/(1-h)
p_dec = (1/cp_soilom-1/cp_crit)*c_dec/(1-h)
08. hydro balance
WATER(t) = WATER(t - dt) + (Winfl + Wprecipitation - Woutfl - Wet) * dt
INIT WATER = if unit=1 then porosity*volume else if unit=2 then 0.75*porosity*volume else
porosity*volume
INFLOWS:
Winfl = litres_from_prev_unit/area
Wprecipitation = (rain_mm_month*12/52)
OUTFLOWS:
Woutfl = soilw_out+surfw_off
Wet = if pF>4.2 then 0 else (0.73*pt+0.16*7)
c = 49.87
cycl_managem = mod((time-1),156)+1
dif_litres = dif_mm_month*12/52*area
liters_to_next_unit = max (0 , Woutfl * frin * area)
litres_from_prev_unit = if unit=1 then dif_litres else
if unit=2 then lit_u_1_to_2 else
dif_litres
NNH4_conc_DIF = .000231
NNH4_from_prev_unit_g = if unit=1 then NNH4_conc_DIF*dif_litres else
if unit=2 then NNH4_from_1_to_2_g else NNH4_conc_DIF*dif_litres
NNH4_in_flow = NNH4_from_prev_unit_g/area
- 10 -
NNH4_out_flow = if WATER>0 then 0.2*NNH4 / (WATER-surfw) * soilw_out else 0
NNH4_to_next_unit_g = NNH4_out_flow*frin*area
NNO3_conc_DIF = .000088
NNO3_from_prev_unit_g = if unit=1 then NNO3_conc_DIF*dif_litres else
if unit=2 then NNO3_1_to_2_g else NNO3_conc_DIF*dif_litres
NNO3_in_flow = NNO3_from_prev_unit_g/area
NNO3_out_flow = if WATER >0 then (NNO3 / WATER * Woutfl) else 0
NNO3_to_next_unit_g = NNO3_out_flow*frin*area
PAVAIL_conc_DIF = .000001
PAVAIL_from_prev_unit_g = if unit=1 then PAVAIL_conc_DIF*dif_litres else
if unit=2 then PAVAIL_1_to_2_g else PAVAIL_conc_DIF*dif_litres
PAVAIL_in_flow = PAVAIL_from_prev_unit_g/area
PAVAIL_out_flow = 0.02*soilw_out*PAVAIL/(WATER-surfw)
PAVAIL_to_next_unit_g = PAVAIL_out_flow*frin*area
pF =
min(7,max(0,7+((1-3*wfp_fc)*c*porosity^2-7/porosity)*vol_fraction+3*wfp_fc*porosity*c*vol_fraction^2-c*
vol_fraction^3))
pt = 7*(1.44879+1.3986*sin(2*pi/52*(weeknr+39.8973)))
soilw_fixed = max(0,WATER-surfw-soilw_free)
soilw_free = if vol_fraction<porosity then max(0, (vol_fraction-porosity*wfp_fc)*volume) else
(porosity-wfp_fc*porosity)*volume
soilw_out = soilw_free*frout
surfw = if vol_fraction>=porosity then (vol_fraction-porosity)*volume else 0
surfw_off = froff*surfw
volume = depth*1000
vol_fraction = WATER/volume
wfp = vol_fraction/porosity
wfp_fc = 0.58
dif_mm_month = GRAPH(weeknr)
(1.00, 1.43), (5.33, 1.48), (9.67, 1.49), (14.0, 1.48), (18.3, 0.39), (22.7, 0.27), (27.0, 0.45), (31.3, 0.77), (35.7,
0.91), (40.0, 0.98), (44.3, 1.08), (48.7, 1.19), (53.0, 1.43)
lit_u_1_to_2 = GRAPH(cycl_managem)
(1.00, 13096), (2.00, 12539), (3.00, 11663), (4.00, 10640), (5.00, 9537), (6.00, 8551), (7.00, 7992), (8.00,
7593), (9.00, 7236), (10.0, 6851), (11.0, 6260), (12.0, 5996), (13.0, 5599), (14.0, 5092), (15.0, 4581), (16.0,
4148), (17.0, 3783), (18.0, 3476), (19.0, 3194), (20.0, 2848), (21.0, 2450), (22.0, 2016), (23.0, 1570), (24.0,
1229), (25.0, 1014), (26.0, 909), (27.0, 905), (28.0, 987), (29.0, 1145), (30.0, 1371), (31.0, 1663), (32.0, 2002),
(33.0, 2351), (34.0, 2710), (35.0, 3083), (36.0, 3474), (37.0, 3918), (38.0, 4417), (39.0, 4963), (40.0, 5546),
(41.0, 6172), (42.0, 8362), (43.0, 9901), (44.0, 10994), (45.0, 11841), (46.0, 12427), (47.0, 12884), (48.0,
13268), (49.0, 13577), (50.0, 13639), (51.0, 13540), (52.0, 13350), (53.0, 13096)...
- 11 -
NNH4_from_1_to_2_g = GRAPH(cycl_managem)
(1.00, 0.239), (2.00, 0.235), (3.00, 0.231), (4.00, 0.228), (5.00, 0.227), (6.00, 0.226), (7.00, 0.227), (8.00,
0.229), (9.00, 0.232), (10.0, 0.236), (11.0, 0.24), (12.0, 0.255), (13.0, 0.276), (14.0, 0.273), (15.0, 0.215), (16.0,
0.102), (17.0, 0.0423), (18.0, 0.0331), (19.0, 0.0302), (20.0, 0.0275), (21.0, 0.0243), (22.0, 0.0234), (23.0,
0.0197), (24.0, 0.0145), (25.0, 0.0112), (26.0, 0.00982), (27.0, 0.00971), (28.0, 0.0105), (29.0, 0.012), (30.0,
0.0141), (31.0, 0.0166), (32.0, 0.0195), (33.0, 0.0224), (34.0, 0.0253), (35.0, 0.0283), (36.0, 0.0313), (37.0,
0.035), (38.0, 0.0449), (39.0, 0.185), (40.0, 0.345), (41.0, 0.412), (42.0, 0.378), (43.0, 0.353), (44.0, 0.334),
(45.0, 0.318), (46.0, 0.304), (47.0, 0.291), (48.0, 0.28), (49.0, 0.269), (50.0, 0.26), (51.0, 0.252), (52.0, 0.245),
(53.0, 0.239)...
NNO3_1_to_2_g = GRAPH(cycl_managem)
(1.00, 0.534), (2.00, 0.518), (3.00, 0.49), (4.00, 0.456), (5.00, 0.419), (6.00, 0.384), (7.00, 0.364), (8.00, 0.35),
(9.00, 0.336), (10.0, 0.321), (11.0, 0.297), (12.0, 0.291), (13.0, 0.283), (14.0, 0.272), (15.0, 0.26), (16.0, 0.246),
(17.0, 0.141), (18.0, 0.121), (19.0, 0.112), (20.0, 0.104), (21.0, 0.0932), (22.0, 0.0808), (23.0, 0.0667), (24.0,
0.0546), (25.0, 0.0462), (26.0, 0.0421), (27.0, 0.042), (28.0, 0.0454), (29.0, 0.0516), (30.0, 0.0601), (31.0,
0.0703), (32.0, 0.0813), (33.0, 0.0915), (34.0, 0.101), (35.0, 0.11), (36.0, 0.119), (37.0, 0.128), (38.0, 0.162),
(39.0, 0.237), (40.0, 0.276), (41.0, 0.294), (42.0, 0.373), (43.0, 0.425), (44.0, 0.46), (45.0, 0.488), (46.0, 0.507),
(47.0, 0.522), (48.0, 0.535), (49.0, 0.545), (50.0, 0.548), (51.0, 0.546), (52.0, 0.541), (53.0, 0.534)...
PAVAIL_1_to_2_g = GRAPH(cycl_managem)
(1.00, 0.15), (2.00, 0.152), (3.00, 0.154), (4.00, 0.155), (5.00, 0.157), (6.00, 0.159), (7.00, 0.161), (8.00, 0.163),
(9.00, 0.165), (10.0, 0.167), (11.0, 0.168), (12.0, 0.166), (13.0, 0.161), (14.0, 0.151), (15.0, 0.136), (16.0,
0.123), (17.0, 0.112), (18.0, 0.103), (19.0, 0.095), (20.0, 0.0848), (21.0, 0.0729), (22.0, 0.0601), (23.0, 0.0468),
(24.0, 0.0366), (25.0, 0.0302), (26.0, 0.027), (27.0, 0.0266), (28.0, 0.0285), (29.0, 0.0322), (30.0, 0.0375),
(31.0, 0.0442), (32.0, 0.0516), (33.0, 0.059), (34.0, 0.0663), (35.0, 0.0737), (36.0, 0.0813), (37.0, 0.0896),
(38.0, 0.0989), (39.0, 0.11), (40.0, 0.122), (41.0, 0.133), (42.0, 0.137), (43.0, 0.139), (44.0, 0.14), (45.0, 0.141),
(46.0, 0.141), (47.0, 0.142), (48.0, 0.143), (49.0, 0.144), (50.0, 0.145), (51.0, 0.147), (52.0, 0.148), (53.0,
0.15)...
rain_mm_month = GRAPH(weeknr)
(1.00, 124), (5.33, 87.0), (9.67, 88.0), (14.0, 64.0), (18.3, 77.0), (22.7, 61.0), (27.0, 77.0), (31.3, 91.0), (35.7,
94.0), (40.0, 108), (44.3, 128), (48.7, 134), (53.0, 124)
wfp_old = GRAPH(mode_meas)
(0.00, 1.00), (0.1, 1.00), (0.2, 0.99), (0.3, 0.945), (0.4, 0.745), (0.5, 0.555), (0.6, 0.5), (0.7, 0.5), (0.8, 0.49),
(0.9, 0.49), (1, 0.49)
09. Carbon submodel
CHERB(t) = CHERB(t - dt) + (Cgraz - Cfarmer - Cresp_herb - Cmanure - Cmethane - Charv) * dt
INIT CHERB = CHERB_ini
INFLOWS:
Cgraz = rcr_herb*CHERB*CPL_SHOOT/(km_gr+CPL_SHOOT)*mod_herb_s_0_or_f_1
OUTFLOWS:
Cfarmer = if (mod_herb_s_0_or_f_1=0) then CHERB else (-1*CHERB_S)
Cresp_herb = CHERB*rrr_herb*mod_herb_s_0_or_f_1
Cmanure = upt_ineff*Cgraz
Cmethane = rmpr*Cgraz
Charv = if ((Cherb_tot >harv_level) and (int(weeknr)=harv_week)) and (mod_herb_s_0_or_f_1=1)
then (Cherb_tot-harv_level)/DT else 0
- 12 -
CHERB_S(t) = CHERB_S(t - dt) + (Cfarmer + Cgraz__s - Charv_s - Cresp_herb_s - Cmethane_s -
Cmanure_s) * dt
INIT CHERB_S = CHERB_STORE_ini
INFLOWS:
Cfarmer = if (mod_herb_s_0_or_f_1=0) then CHERB else (-1*CHERB_S)
Cgraz__s = rcr_herb*CHERB_S*(1-mod_herb_s_0_or_f_1)
OUTFLOWS:
Charv_s = if ((Cherb_tot >harv_level) and (int(weeknr)=harv_week)) and (mod_herb_s_0_or_f_1=0)
then (Cherb_tot-harv_level)/DT else 0
Cresp_herb_s = rrr_herb*CHERB_S*(1-mod_herb_s_0_or_f_1)
Cmethane_s = rmpr*Cgraz__s
Cmanure_s = upt_ineff*Cgraz__s
CPL_ROOT(t) = CPL_ROOT(t - dt) + (Ctrans - Cdeath_ro - Cresp_ro) * dt
INIT CPL_ROOT = CPL_ROOT_ini
INFLOWS:
Ctrans = (CPL_SHOOT-CPL_ROOT*sh_ro_opt)/(1+sh_ro_opt)
OUTFLOWS:
Cdeath_ro = rdr_ro_max*CPL_ROOT*rtemp_inv_r
Cresp_ro = rrr_ro_max*CPL_ROOT*rsoiltemp*mod_ass
CPL_ROOTD(t) = CPL_ROOTD(t - dt) + (Cdeath_ro - Cfrag_rod - Cleach_rod) * dt
INIT CPL_ROOTD = CPL_ROOTD_ini
INFLOWS:
Cdeath_ro = rdr_ro_max*CPL_ROOT*rtemp_inv_r
OUTFLOWS:
Cfrag_rod = rsoiltemp*rfr_rod_max*CPL_ROOTD
Cleach_rod = cd_rod_max*rsoiltemp*Cdeath_ro
CPL_SHOOT(t) = CPL_SHOOT(t - dt) + (Cass - Ctrans - Cgraz - Cdeath_sh - Cresp_sh) * dt
INIT CPL_SHOOT = CPL_SHOOT_ini
INFLOWS:
Cass = rgr_max *limit_ass_tot* CPL_SHOOT
OUTFLOWS:
Ctrans = (CPL_SHOOT-CPL_ROOT*sh_ro_opt)/(1+sh_ro_opt)
Cgraz = rcr_herb*CHERB*CPL_SHOOT/(km_gr+CPL_SHOOT)*mod_herb_s_0_or_f_1
Cdeath_sh = rdr_sh_max*CPL_SHOOT*rtemp_inv
Cresp_sh = rrr_sh_max*CPL_SHOOT*rtemp*mod_ass
CPL_SHOOTD(t) = CPL_SHOOTD(t - dt) + (Cdeath_sh - Cfrag_shd - Cleach_shd - Cburn) * dt
INIT CPL_SHOOTD = CPL_SHOOTD_ini
INFLOWS:
Cdeath_sh = rdr_sh_max*CPL_SHOOT*rtemp_inv
OUTFLOWS:
Cfrag_shd = rtemp*rfr_shd_max*CPL_SHOOTD
Cleach_shd = rsoiltemp*cd_shd_max*Cdeath_sh
Cburn = burnfract*CPL_SHOOTD*burntime
CSOILOM(t) = CSOILOM(t - dt) + (Cfrag_shd + Cfrag_rod + Cmanure - Cdec - Cdeni) * dt
INIT CSOILOM = CSOILOM_ini
- 13 -
INFLOWS:
Cfrag_shd = rtemp*rfr_shd_max*CPL_SHOOTD
Cfrag_rod = rsoiltemp*rfr_rod_max*CPL_ROOTD
Cmanure = upt_ineff*Cgraz
OUTFLOWS:
Cdec = c_dec
Cdeni = Ndeni*cn_deni
cd_rod_max = 0.1/0.20558
cd_shd_max = 0.1/0.20558
cn_deni = 1.0716
km_gr = 0.4
limit_assN = if nconc_plws > nmin
then min(0.9, (nconc_plws-nmin)/((kmN-nmin)+(nconc_plws-nmin)) )
else 0
limit_assP = if pconc_plws > pmin
then min(0.9,
(pconc_plws-pmin)/((kmP-pmin) + (pconc_plws-pmin)) )
else 0
limit_ass_tot = (limit_assN*limit_assP/0.81)*(sh_max-CPL_SHOOT)/sh_max*rtemp*mod_ass
rtemp_inv = GRAPH(temp_airC)
(-20.0, 0.965), (-18.0, 0.965), (-16.0, 0.96), (-14.0, 0.955), (-12.0, 0.95), (-10.0, 0.95), (-8.00, 0.945), (-6.00,
0.92), (-4.00, 0.9), (-2.00, 0.85), (0.00, 0.75), (2.00, 0.67), (4.00, 0.575), (6.00, 0.49), (8.00, 0.395), (10.0,
0.305), (12.0, 0.225), (14.0, 0.115), (16.0, 0.06), (18.0, 0.04), (20.0, 0.045), (22.0, 0.04), (24.0, 0.04), (26.0,
0.04), (28.0, 0.04), (30.0, 0.045), (32.0, 0.04), (34.0, 0.03), (36.0, 0.025), (38.0, 0.02)
rtemp_inv_r = GRAPH(temp_soilC)
(-20.0, 0.965), (-18.0, 0.965), (-16.0, 0.96), (-14.0, 0.955), (-12.0, 0.95), (-10.0, 0.95), (-8.00, 0.945), (-6.00,
0.92), (-4.00, 0.9), (-2.00, 0.85), (0.00, 0.75), (2.00, 0.67), (4.00, 0.575), (6.00, 0.49), (8.00, 0.395), (10.0,
0.305), (12.0, 0.225), (14.0, 0.115), (16.0, 0.06), (18.0, 0.04), (20.0, 0.045), (22.0, 0.04), (24.0, 0.04), (26.0,
0.04), (28.0, 0.04), (30.0, 0.045), (32.0, 0.04), (34.0, 0.03), (36.0, 0.025), (38.0, 0.02)
10. Nitrogen submodel
NHERB(t) = NHERB(t - dt) + (Ngraz - Nfarmer - Nharv - Nmanure - Nurine) * dt
INIT NHERB = NHERB_ini
INFLOWS:
Ngraz = Cgraz/cn_sh
OUTFLOWS:
Nfarmer = if (grazing_y_or_n = 1) then Cfarmer/cn_herb else 0
Nharv = if (grazing_y_or_n = 1) then Charv/cn_herb else 0
Nmanure = Cmanure/cn_manure
Nurine = max(0 , NHERB-CHERB/cn_herb_opt)
NHERB_S(t) = NHERB_S(t - dt) + (Nfarmer + Ngraz_s - Nharv_s - Nmanure&urine_s) * dt
INIT NHERB_S = NHERB_STORE_ini
INFLOWS:
Nfarmer = if (grazing_y_or_n = 1) then Cfarmer/cn_herb else 0
Ngraz_s = Cgraz__s/cn_food
- 14 -
OUTFLOWS:
Nharv_s = if (grazing_y_or_n = 1) then Charv_s/cn_herb else 0
Nmanure&urine_s = (Cmanure_s/cn_manure) + (max(0,NHERB_S-CHERB_S/cn_herb_opt))
NNH4(t) = NNH4(t - dt) + (Nleach_rod + Ndec + Nleach_shd + Ndis_nitr_red + Nurine + NNH4_in -
Nupt_NH4 - Nnitrif - Nvol - NNH4_out) * dt
INIT NNH4 = NNH4_ini
INFLOWS:
Nleach_rod = Cleach_rod/cn_rod
Ndec = n_dec
Nleach_shd = Cleach_shd/cn_shd
Ndis_nitr_red = 0*NNO3
Nurine = max(0 , NHERB-CHERB/cn_herb_opt)
NNH4_in = NNH4_in_flow+NNH4_p_y/52+nnh4_fert
OUTFLOWS:
Nupt_NH4 = if (NNH4-0.001<=0) then 0 else min(NNH4-0.001, nneed*(NNH4-0.001)/nplav)
Nnitrif = rnitr_max*rsoiltemp*mod_nitrif*NNH4
Nvol = rvolr_max*NNH4*rsoiltemp
NNH4_out = NNH4_out_flow
NNO3(t) = NNO3(t - dt) + (Nnitrif + Nburn_s + NNO3_in - Nupt_NO3 - Ndis_nitr_red - Ndeni - NNO3_imm
- NNO3_out) * dt
INIT NNO3 = NNO3_ini
INFLOWS:
Nnitrif = rnitr_max*rsoiltemp*mod_nitrif*NNH4
Nburn_s = Nburn_s1
NNO3_in = NNO3_in_flow+NNO3_p_y/52+nno3_fert
OUTFLOWS:
Nupt_NO3 = if (NNO3-0.001<=0) then 0 else min(NNO3-0.001 , nneed*(NNO3-0.001) /nplav)
Ndis_nitr_red = 0*NNO3
Ndeni = rdenir_max*NNO3*mod_deni*rsoiltemp
NNO3_imm = nno3imm_neg*(-1)
NNO3_out = NNO3_out_flow
NPL_ROOT(t) = NPL_ROOT(t - dt) + (Ntrans + Nupt_NH4 + Nupt_NO3 + Nremob - Ndeath_ro -
Nretrans_ro) * dt
INIT NPL_ROOT = NPL_ROOT_ini
INFLOWS:
Ntrans = (NPL_SHOOT-sr_pl*NPL_ROOT)/(sr_pl+1)
Nupt_NH4 = if (NNH4-0.001<=0) then 0 else min(NNH4-0.001, nneed*(NNH4-0.001)/nplav)
Nupt_NO3 = if (NNO3-0.001<=0) then 0 else min(NNO3-0.001 , nneed*(NNO3-0.001) /nplav)
Nremob = if ((weeknr>5) and (weeknr<40))
then min(nremobrate*NPL_STORE , nneed) else 0
OUTFLOWS:
Ndeath_ro = (1-nretransfr)*Cdeath_ro/cn_ro
Nretrans_ro = Cdeath_ro/cn_ro*nretransfr
NPL_ROOTD(t) = NPL_ROOTD(t - dt) + (Ndeath_ro - Nfrag_rod - Nleach_rod) * dt
INIT NPL_ROOTD = NPL_ROOTD_ini
- 15 -
INFLOWS:
Ndeath_ro = (1-nretransfr)*Cdeath_ro/cn_ro
OUTFLOWS:
Nfrag_rod = Cfrag_rod/cn_rod
Nleach_rod = Cleach_rod/cn_rod
NPL_SHOOT(t) = NPL_SHOOT(t - dt) + (- Ntrans - Ndeath_sh - Ngraz - Nretrans_sh) * dt
INIT NPL_SHOOT = NPL_SHOOT_ini
OUTFLOWS:
Ntrans = (NPL_SHOOT-sr_pl*NPL_ROOT)/(sr_pl+1)
Ndeath_sh = (1-nretransfr)*Cdeath_sh/cn_sh
Ngraz = Cgraz/cn_sh
Nretrans_sh = Cdeath_sh/cn_sh*nretransfr
NPL_SHOOTD(t) = NPL_SHOOTD(t - dt) + (Ndeath_sh - Nfrag_shd - Nleach_shd - Nburn_a - Nburn_s1) *
dt
INIT NPL_SHOOTD = NPL_SHOOTD_ini
INFLOWS:
Ndeath_sh = (1-nretransfr)*Cdeath_sh/cn_sh
OUTFLOWS:
Nfrag_shd = Cfrag_shd/cn_shd
Nleach_shd = Cleach_shd/cn_shd
Nburn_a = burnratio* burnfract*NPL_SHOOTD*burntime
Nburn_s1 = (1-burnratio)*burnfract*NPL_SHOOTD*burntime
NPL_STORE(t) = NPL_STORE(t - dt) + (Nretrans_sh + Nretrans_ro - Nremob) * dt
INIT NPL_STORE = NPL_STORE_ini
INFLOWS:
Nretrans_sh = Cdeath_sh/cn_sh*nretransfr
Nretrans_ro = Cdeath_ro/cn_ro*nretransfr
OUTFLOWS:
Nremob = if ((weeknr>5) and (weeknr<40))
then min(nremobrate*NPL_STORE , nneed) else 0
NSOILOM(t) = NSOILOM(t - dt) + (Nfrag_shd + Nfrag_rod + Nmanure + NNO3_imm - Ndec) * dt
INIT NSOILOM = NSOILOM_ini
INFLOWS:
Nfrag_shd = Cfrag_shd/cn_shd
Nfrag_rod = Cfrag_rod/cn_rod
Nmanure = Cmanure/cn_manure
NNO3_imm = nno3imm_neg*(-1)
OUTFLOWS:
Ndec = n_dec
burnratio = 0.5
cn_food = 10
nneed = max(0 , CPLANT/cn_plws_opt-NPLANT_ws)
nremobrate = 0.25
rdenir_max = 0.1/0.20558
rnitr_max = 0.05*7
- 16 -
rvolr_max = 0.01
11. Phosphorus submodel
PADS(t) = PADS(t - dt) + (Padsorb - Preleas) * dt
INIT PADS = PADS_ini
INFLOWS:
Padsorb = if (PADS < pads_eq) then min(0.2*(1-PADS/pads_max)*(pads_eq-PADS) ,
PAVAIL-0.001) else 0
OUTFLOWS:
Preleas = if PADS> pads_eq then 0.01*(PADS/pads_max)*(PADS-pads_eq) else 0
PAVAIL(t) = PAVAIL(t - dt) + (Pleach_rod + Pdec + Pleach_shd + Preleas + Pburn + PAVAIL_in - Pupt -
Padsorb - PAVAIL_out) * dt
INIT PAVAIL = PAVAIL_ini
INFLOWS:
Pleach_rod = Cleach_rod/cp_rod
Pdec = p_dec
Pleach_shd = Cleach_shd/cp_shd
Preleas = if PADS> pads_eq then 0.01*(PADS/pads_max)*(PADS-pads_eq) else 0
Pburn = burnfract*PPL_SHOOTD*burntime
PAVAIL_in = PAVAIL_in_flow+PAVAIL_p_y/52+pavail_fert
OUTFLOWS:
Pupt = if (PAVAIL-0.001<=0) then 0 else
0.1*min(PAVAIL-0.001, pneed) *PAVAIL/init(PAVAIL)
Padsorb = if (PADS < pads_eq) then min(0.2*(1-PADS/pads_max)*(pads_eq-PADS) ,
PAVAIL-0.001) else 0
PAVAIL_out = PAVAIL_out_flow
PHERB(t) = PHERB(t - dt) + (Pgraz - Pmanure - Pharv - Pfarmer) * dt
INIT PHERB = PHERB_ini
INFLOWS:
Pgraz = Cgraz/cp_sh
OUTFLOWS:
Pmanure = max(0 , PHERB-CHERB/cp_herb_opt)
Pharv = if (grazing_y_or_n = 1) then Charv/cp_herb else 0
Pfarmer = if (grazing_y_or_n = 1) then Cfarmer/cp_herb else 0
PHERB_S(t) = PHERB_S(t - dt) + (Pfarmer + Pgraz_s - Pharv_s - Pmanure_s) * dt
INIT PHERB_S = PHERB_STORE_ini
INFLOWS:
Pfarmer = if (grazing_y_or_n = 1) then Cfarmer/cp_herb else 0
Pgraz_s = Cgraz__s/cp_food
OUTFLOWS:
Pharv_s = if (grazing_y_or_n = 1) then Charv_s/cp_herb else 0
Pmanure_s = max(0,PHERB_S-CHERB_S/cp_herb_opt)
PPL_ROOT(t) = PPL_ROOT(t - dt) + (Ptrans + Pupt + Premob - Pdeath_ro - Pretrans_ro) * dt
INIT PPL_ROOT = PPL_ROOT_ini
INFLOWS:
- 17 -
Ptrans = (PPL_SHOOT-sr_pl*PPL_ROOT)/(sr_pl+1)
Pupt = if (PAVAIL-0.001<=0) then 0 else
0.1*min(PAVAIL-0.001, pneed) *PAVAIL/init(PAVAIL)
Premob = if ((weeknr>5) and (weeknr<40))
then min(premobrate*PPL_STORE,pneed)
else 0
OUTFLOWS:
Pdeath_ro = (1-pretransfr)*Cdeath_ro/cp_ro
Pretrans_ro = Pdeath_ro/(1-pretransfr)*pretransfr
PPL_ROOTD(t) = PPL_ROOTD(t - dt) + (Pdeath_ro - Pfrag_rod - Pleach_rod) * dt
INIT PPL_ROOTD = PPL_ROOTD_ini
INFLOWS:
Pdeath_ro = (1-pretransfr)*Cdeath_ro/cp_ro
OUTFLOWS:
Pfrag_rod = Cfrag_rod/cp_rod
Pleach_rod = Cleach_rod/cp_rod
PPL_SHOOT(t) = PPL_SHOOT(t - dt) + (- Ptrans - Pgraz - Pdeath_sh - Pretrans_sh) * dt
INIT PPL_SHOOT = PPL_SHOOT_ini
OUTFLOWS:
Ptrans = (PPL_SHOOT-sr_pl*PPL_ROOT)/(sr_pl+1)
Pgraz = Cgraz/cp_sh
Pdeath_sh = (1-pretransfr)*Cdeath_sh/cp_sh
Pretrans_sh = Pdeath_sh/(1-pretransfr)*pretransfr
PPL_SHOOTD(t) = PPL_SHOOTD(t - dt) + (Pdeath_sh - Pfrag_shd - Pleach_shd - Pburn) * dt
INIT PPL_SHOOTD = PPL_SHOOTD_ini
INFLOWS:
Pdeath_sh = (1-pretransfr)*Cdeath_sh/cp_sh
OUTFLOWS:
Pfrag_shd = Cfrag_shd/cp_shd
Pleach_shd = Cleach_shd/cp_shd
Pburn = burnfract*PPL_SHOOTD*burntime
PPL_STORE(t) = PPL_STORE(t - dt) + (Pretrans_sh + Pretrans_ro - Premob) * dt
INIT PPL_STORE = PPL_STORE_ini
INFLOWS:
Pretrans_sh = Pdeath_sh/(1-pretransfr)*pretransfr
Pretrans_ro = Pdeath_ro/(1-pretransfr)*pretransfr
OUTFLOWS:
Premob = if ((weeknr>5) and (weeknr<40))
then min(premobrate*PPL_STORE,pneed)
else 0
PSOILOM(t) = PSOILOM(t - dt) + (Pfrag_shd + Pfrag_rod + Pmanure - Pdec) * dt
INIT PSOILOM = PSOILOM_ini
INFLOWS:
Pfrag_shd = Cfrag_shd/cp_shd
Pfrag_rod = Cfrag_rod/cp_rod
- 18 -
Pmanure = max(0 , PHERB-CHERB/cp_herb_opt)
OUTFLOWS:
Pdec = p_dec
cp_food = 100
pads_eq = pads_max*pconc/(km_ads+pconc)
pconc = PAVAIL/(WATER-surfw)*1000
pneed = max(0 , CPLANT/cp_plws_opt-PPLANT_ws)
premobrate = 0.25
cycling
Ncycle = Ndec+Nleach_rod+Nleach_shd-NNO3_imm+Nburn_s
Pcycle = Pburn+Pdec+Pleach_rod+Pleach_shd
water purification ?
nconc_win = 1000*(NNH4_in_flow+NNO3_in_flow)/Winfl
nconc_wout = 1000*(NNH4_out_flow+NNO3_out_flow)/Woutfl
pconc_win = 1000*PAVAIL_in_flow/Winfl
pconc_wout = 1000*PAVAIL_out_flow/Woutfl
Not in a sector
