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Zed Rengel
Univ Western AustraliaPerth
Ukupna kolicina nitrata u tlu- u 1.5-m profilu tla -
Ukupna kolicina nitrata u tlu- u 1.5-m profilu tla -
Kolicina nitrata21 srpnja 74 46 3527 rujna 33 13 429 studenog 44 24 17
Dolling et al. 1995
Lupina psenica pasnjak
21 lipnja – 26 rujna 24 20 3
Ukupna kolicina ispranog nitrata, kg/ha
- dolje do 1 m u profilu tla -
Ukupna kolicina ispranog nitrata, kg/ha
- dolje do 1 m u profilu tla -
------------------------------ kg/ha -----------------------------
Heterogenost concentracije nitrata u tlu- blok 5 m × 5 m × 5 m, mali blok od 25 cm x 25 cm x 25 cm -
mg/kg
mg/kg
Nakon 41 dana rasta
Lupinus pilosus Lupinus angustifolius
L. angustifolius
0.0
0.1
0.2
0.3
*
L. pilosus Uniformno visoka opskrba nitratima(1500 / 1500 µM)
Razlicita opskrba nitratima(1500 / 250 µM)
Rat
a pr
iman
jani
trat
a(µ
mol
m-2
s-1 )
Plitki korijeni
Kompenzacija u primanju nitrata, L. angustifolius- rata primanja plitkim korijenima opskrbljenih visokom koncentracijom nitrata -
Dunbabin, Rengel & Diggle 2001 Aust J Agric Res 52, 505-512.
L. angustifolius
0.0
0.1
0.2
0.3
**
L. pilosus
Rat
a pr
iman
jani
trat
a(µ
mol
m-2
s-1 )
Duboki korijeni
Dunbabin, Rengel & Diggle 2001 Aust J Agric Res 52, 505-512.
Uniformno visoka opskrba nitratima(1500 / 1500 µM)
Razlicita opskrba nitratima(250 / 1500 µM)
Kompenzacija u primanju nitrata, L. angustifolius- rata primanja dubokim korijenima opskrbljenih visokom koncentracijom nitrata -
L. angustifolius
0.00
0.02
0.04
0.06
*
L. pilosus
0.01
0.03
0.05
Dunbabin, Rengel & Diggle 2001 Aust J Agric Res 52, 505-512.
Kompenzacija u primanju nitrata, L. angustifolius- rata primanja plitkim korijenima opskrbljenih niskom koncentracijom nitrata -
Uniformno niska opskrba nitratima(250 / 250 µM)
Razlicita opskrba nitratima(250 / 1500 µM)
Rat
a pr
iman
jani
trat
a(µ
mol
m-2
s-1 )
Plitki korijeni
1
1.2
1.4
1.6
1.8
2
2.2
L. angustifolius
Duboki korijeni Plitki korijeniU
odn
osu
nabi
ljeop
skrb
ljene
unifo
rmni
nni
trat
ima
Kompenzacija rasta korijena, L. pilosus
Rata rasta Broj novihlaterala
L. pilosus
Rata rasta Broj novihlaterala
0.8
Pov
ecan
jeS
man
jenj
e
Visoka opskrbljenost plitkih korijena nitratima,niska opskrbljenost dubokih korijena nitratima
Dunbabin, Rengel & Diggle 2001 Aust J Agric Res 52, 495-503.
Biljke su bile stare 21 dan na pocetku tretmana,Rast nakon 9 dana
Kratak opis modela
Koristenje modela za istrazivanje rastakorijena i primanja nitrata
u heterogenom tlu
Komponenta modela za reakciju korijena
Koristenje modela u simulaciji poljskihpokusa
ROOTMAP3-D model arhitekture
korijena
Modul za voduDrenaza, redistribucija, evaporacija, primanje
Modul za hranivaIspiranje, masovni tok,
difuzija, primanje
Modul za distribucijuresursa
Kontrolira rast korijena i primanja hraniva na bazi
isplativosti ulaganja
Model koji simulira reakciju pojedinacnih korijena, kaoi cijelog korijenovog sistema, u odnosu na opskrbu
asimilatima koja varira u prostoru i vremenu
Dunbabin, Diggle, Rengel & Van Hughten 2002. Plant Soil 239, 19-38.
Vanjska opskrbaresursima
(npr. nitrati, voda)
Potraznja na nivou cijele biljke
(bazirana na resursima koji su naraspolaganju za koristenje u biljci)
Lokalni signalikoji pokazujupotencijalnu
opskrburesursima
Lokalni interni zahtjevi zaresursima
Opskrba asimilatima za rast i odrzavanje, ovisno o lokalnojakviziciji resursa i prioritetima
Stvarna reakcija kroz primanjehraniva ili rast biljke (ovisno o
resursima) bazirana na opskrbii potrebama
Lokalni opskrbni sistem
(korijeni, korijenove kvrzice, stabljika)
Osnovnametodologija modela
Dunbabin, Diggle, Rengel & Van Hughten 2002. Plant Soil 239, 19-38.
Kratak opis modela
Koristenje modela za istrazivanje rastakorijena i primanja nitrata
u heterogenom tlu
Komponenta modela za reakciju korijena
Koristenje modela u simulaciji poljskihpokusa
lokalni volumens visokimnitratima
nitrat = ljubicasta voda = svjetlo plava nitrati + voda
Lokalnivolumensuhog tla
Lokalni volumens visokimnitratima
Lokalnivolumensuhog tla
Pocetni profil tla
Lokalnivolumensuhog tla
Lokalni volumens visokimnitratima
Ne-reagirajucikorijenov sistem kojiraste na osnovu pre-
definiranih pravila
Ispiranje nitrata u profilu tla nakonuzastopnih kisa
Korijenovi sistemkoji reagira nalokalni okolis
Kratak opis modela
Koristenje modela za istrazivanje rastakorijena i primanja nitrata
u heterogenom tlu
Komponenta modela za reakciju korijena
Koristenje modela u simulaciji poljskihpokusa
y = 0.97x
r2 = 0.90
0
0.5
1
1.5
2
2.5
3
3.5
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5
Gustoca korijena
Poljski pokusi (cm/cm3)
Mod
elira
nipo
daci
(cm
/cm
3 )
y = 0.96x
r2 = 0.86
0
2
4
6
8
10
12
14
0 2 4 6 8 10 12 14
Sadrzaj nitrata u tlu
Poljski pokusi (kg nitrate/ha)
Mod
elira
nipo
daci
(kg
nitr
ate/
ha)
Korelacija izmedju
modeliranih i poljskih
podataka
L. angustifolius je rasla na polju
1995 i 1996
Dunbabin, Diggle & Rengel 2002. Plant Soil 239, 39-54.
Gustoca korijena (cm/cm3)
0
20
40
60
80
100
120
140
0 2 4
146 DAS
0 2 40
20
40
60
80
100
120
140108 DAS
0
20
40
60
80
100
120
140
0 1 2
Field Data
Modelled data
79 DAS
Dub
ina
(cm
)
DAS=dana nakon sijanja
Rast korijena simuliran modelom- L. angustifolius (rasla na polju 1996) -
Dunbabin, Diggle & Rengel 2002. Plant Soil 239, 39-54.
0
20
40
60
80
100
120
140
0 5 10 15
Poljski podaci
Modelirani podaci
86 DAS
0
20
40
60
80
100
120
140
0 5 10 15
106 DAS
0
20
40
60
80
100
120
140
0 5 10 15
217 DAS
Sadrzaj nitrata (kg NO3--N/ha)
Dub
ina
(cm
)
DAS=dani nakon sijanja
Nitratni profili simulirani modelom- L. angustifolius (rasla na polju) -
Dunbabin, Diggle & Rengel 2002. Plant Soil 239, 39-54.
0.04
0.08
0.12
0.16
25 75 125 175 225
0 - 10 cm dubina
0.04
0.08
0.12
0.16
25 75 125 175 225
120 - 150 cm dubina
Dani nakon sijanja
Kol
icin
avo
deu
tlu(v
/v)
Poljski podaci
Modelirani podaci
Profil vode tla simularog modelom- L. angustifolius (rasla na polju 1996) -
Dunbabin, Diggle & Rengel 2002. Plant Soil 239, 39-54.
0.04
0.08
0.12
0.16
25 75 125 175 225
30 - 50 cm dubina
Izvor/sink za nitrate
1995
32
Lupina: primanje -21
Capeweed: primanje -0
mineralizirano 60
ispiranje -32 (-35)
zavrsno 39
1996
57
-26
-28
69
-26 (-23)
46
pocetni
Nitratni budget simuliran modelom- u 1.5 m simuliranog profila -
Dunbabin, Diggle & Rengel 2002. Plant Soil 239, 39-54.Izmjereno i objavljeno: Anderson et al. 1988
------ kg nitrata / ha ------
Kratak opis modela
Koristenje modela za istrazivanje rastakorijena i primanja nitrata
u heterogenom tlu
Komponenta modela za reakciju korijena
Koristenje modela u simulaciji poljskihpokusa
Riblja kost razgranati
Plasticnost rasta korijena
Relativna efikasnost primanja nitrata
Staticnaopskrbanitratima
Dinamicnaopskrbanitratima
1 1.1 1.2 1.3 1.4 1.5 1.6 1.7
Plasticnost rasta korijena
Plasticnost primanjanitrata
Plasticnost primanjanitrata
1 1.1 1.2 1.3 1.4 1.5 1.6 1.7
Riblja kost razgranat
Simulirana efikasnost primanja nitrata za razne arhitekture korijena- plasticitet primanje nitrata ili plasticitet rasta korijena je bio onemogucen -
Dunbabin, Rengel & Diggle (2004). Func. Ecol. 18, 204-211
0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
Riblja kost (fina)L. angustifoliusriblja kost (fina)
L. pilosus(duboka)
L. pilosus(plitka) highly branched
Dub
ina
(m)
Modelirane arhitekture korijena
Razne arhitekture su identicne po ‘troskovima’ (tj. ista kolicina asimilata je koristena)
(s istim volumenom korijena)
Dunbabin, Diggle & Rengel (2003). Plant Cell Environ. 26, 835-844
Dani nakon sijanja
0
10
20
30
40
0 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105
Izmjerene padaline u Moora 1995 (Anderson et al., 1998)
0
10
20
30
40
0 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105
Ista ukupna kolicina kao i u primjeru abore, ali pljuskovi su odgodjeni za kasnije u sezoni
-1
Primanje nitrata raznim arhitekturama korijena
Riblja kostdebela
Riblja kostfina
L. angustifoliusdebela
L. angustifoliusfina
L. pilosusduboka
L. pilosusplitka
Highly branched
Smanjenje dubine zakorijenjivanja, povecanje gustoce korijena
11
14
17
20
23
26
29
Primanje nitrata (L)
E=rani pljuskovi u sezoniL=pljuskovi kasnije u sezoni
108 dana nakon sijanja Dunbabin, Diggle & Rengel (2003). Plant Cell Environ. 26, 835-844
Primanje nitrata (E)
Totalna primljena kolicina
-1
11
14
17
20
23
26
29
Isprani nitrati (E)
Dunbabin, Diggle & Rengel (2003). Plant Cell Environ. 26, 835-844
Isprani nitrati (L)
E=rani pljuskovi u sezoniL=pljuskovi kasnije u sezoni
Ispiranje nitrata - razne arhitekture korijena -Totalna isprana kolicina
Riblja kostdebela
Riblja kostfina
L. angustifoliusdebela
L. angustifoliusfina
L. pilosusduboka
L. pilosusplitka
Highly branched
Smanjenje dubine zakorijenjivanja, povecanje gustoce korijena
108 dana nakon sijanja
-2-1
Dunbabin, Diggle & Rengel (2003). Plant Cell Environ. 26, 835-844
Rata primanja po povrsini korijena
0
2
4
6
0 20 40 60 80 100
L. pilosus (plitak)
L. pilosus (dubok)
E=rani pljuskovi u sezoni(izmjereno u Anderson et al 1988)
Dani nakon sijanja
Primanje nitrata raznim arhitekturama korijena
Dunbabin, Diggle & Rengel (2003). Plant Cell Environ. 26, 835-844
0
2
4
6
0 20 40 60 80 100
Riblja kost (fina)
Highly branched
-2-1
Rata primanja po povrsini korijena
Dani nakon sijanja
Primanje nitrata raznim arhitekturama korijena
E=rani pljuskovi u sezoni(izmjereno u Anderson et al 1988)
Zakljucci
Sistemi opskrbe/potreba (supply/demand) se mogu koristiti zasimuliranje reakcija korijena na okolis
Kapacitet simuliranja reagirajuceg korijenovog sistemaomogucava studiranje interakcija izmedju korijena i heterogenog okolisa
Rast korijena, primanje nitrata i sadrzaj vode su uspjesnomodelirani u sistemu lupina-tlo
Uspjeh u primanju nitrata je balans izmedju brzine akvizicije i velicine ukupnog volumena eksploatiranog tla s jedne strane I brzine ispiranja nitrata s druge
Dr Vanessa Dunbabin (UWA, now Univ Tasmania)Dr Art Diggle (State Dept of Agric)
Acknowledgements
2-2.5
1.5-2
1-1.5
0.5-1
0-0.5
42 days after sowing
Root length density
(cm/cm3)
*
*
*
*12-15
9-12
6-9
3-6
0-3
92 days after sowing
*
*
*
*
50-60
40-50
30-40
20-30
10-20
0-10*
*
*
*
Nitrate leached (kgNO3
--N/ha)
50-60
40-50
30-40
20-30
10-20
0-10
*
*
*
*
Root length density and cumulative nitrate leached after the main rainfall event- four L. angustifolius plants grown in the field in 1996 -
750/750 250/250
Nitrate concentration in upper/lower compartment, µM
250/750 750/250
L. angustifolius
0
5
10
15
20
25
30
35 shallow roots
deep roots
Root growth as influenced by the nitrate supply- first order laterals -
250/750
L. pilosus
0
5
10
15
20
25
30
35
750/750 250/250 750/250
Roo
t gro
wth
(cm
day
-1)
Dunbabin et al. 2001. Aust J Agric Res 52, 495.
21-d-old plants at t=0,growth after 9 days.
750/750 250/750 250/250 750/250
Nitrate concentration in upper/lower compartment, µM
L. angustifolius
0
2
4
6
8
10
12
14 shallow roots
deep roots
Root growth as influenced by the nitrate supply- second order laterals -
250/750 750/250
Roo
t gro
wth
(cm
day
-1)
Dunbabin et al. 2001. Aust J Agric Res 52, 495.
16L. pilosus
750/750 250/2500
2
4
6
8
10
12
14
16
21-d-old plants at t=0,growth after 9 days.
0
5
10
15
20
25
30
35
40
250/750 250/250 750/250 750/750 750/750 250/750 250/250 750/250
Experimental data
Modelled data
upper root system
lower root system
Nitrate supply in upper/lower compartment (µM)
Roo
t gro
wth
(cm
day
-1)
Modelling root growth of L. pilosus- first order laterals -
Dunbabin et al. 2002. Plant Soil 239, 19.
0
0.05
0.1
0.15
0.2
0.25
0.3
750/750 750/250 1500/1500 1500/250 750/750 250/750 1500/1500 250/1500
upper root system lower root system
Experimental data Modelled data
Modelling nitrate uptake by L. angustifolius- in the high nitrate patch when split-nitrate supply -
Nitrate supply in upper/lower compartment (µM)
Nitr
ate
upta
ke r
ate
(µm
ol m
-2s-
1 )
Dunbabin et al. 2002. Plant Soil 239, 39.
.
Parameter description Symbol L. angustifolius L. pilosus Units
root radius 0 a0 1.0 0.8 mm
root radius 1 a1 0.5 0.4 mm
root radius 2 a2 0.3 0.2 mm
unit N growth rate 0* µgN0 0.08 0.08 µm mol-1 s-1
unit N growth rate 1* µgN1 0.12 0.14 µm mol-1 s-1
unit N growth rate 2* µgN2 0.14 0.96 µm mol-1 s-1
unit nN growth rate 0* µgnN0 3.5 4.2 µm mol-1 s-1
unit nN growth rate 1* µgnN1 0.77 0.73 µm mol-1 s-1
unit nN growth rate 2* µgnN2 0.54 0.73 µm mol-1 s-1
unit N branch density 1* µbN1 5.9 3.5 branches m -1 mol-1
unit N branch density 2* µbN2 2.1 3.5 branches m -1 mol-1
unit nN branch density 1* µbnN1 0.42 1.2 branches m -1 mol-1
unit nN branch density 2* µbnN2 0.42 0.42 branches m -1 mol-1
branch lag time 0 Tbl0 192 216 h
branch lag time 1 Tbl1 528 291 h
initial branch angle θ 90 90 deg
deflection index D 0.25 0.25 unitless
unit N fix* µfix 0.05 0.05 mol nodule-1 s-1
unit nodule cost* µnodm 0.075 0.075 mol nodule-1
unit nodule growth rate* µnodg 9 9 nodule mol-1
total seed reserve (N+nN)see
d
56 265 mol
N down regulation factor ω 1.6 1.1 unitless
max. N net influx rate Fmax 5.3 2.6 nmol m-2 s-1
kinetic constant Km 0.119 0.115 mol m-3
poten. transpiration rate Tmax 2.55*10-8 1.89*10-8 m3 m-2 s-1
Parameters used in the model for simulation of lupin root growth and nutrient uptake in nutrient solution (determined by parameter fitting and from experimental data) for three orders of branching: tap root (0), primary laterals (1), secondary laterals (2). The branch lag time = the time lag before a branch will grow (eg. a primary lateral) from a node on the previous branching order (eg. the tap root).
Parameter description Symbol L. angustifolius Units
root radius 0 a0 1.0 mmroot radius 1 a1 0.5 mmroot radius 2 a2 0.3 mmroot radius 3 a3 0.2 mmunit N growth rate 0* µgN0 0.08 µm mol-1 s-1
unit N growth rate 1* µgN1 0.12 µm mol-1 s-1
unit N growth rate 2* µgN2 0.14 µm mol-1 s-1
unit N growth rate 3* µgN3 0.14 µm mol-1 s-1
unit nN growth rate 0* µgnN0 3.5 µm mol-1 s-1
unit nN growth rate 1* µgnN1 0.77 µm mol-1 s-1
unit nN growth rate 2* µgnN2 0.54 µm mol-1 s-1
unit nN growth rate 3* µgnN3 0.54 µm mol-1 s-1
branch spacing 0 µbN0 8 mmbranch spacing 1 µbN1 8 mmbranch spacing 2 µbnN0 5 mmbranch spacing 3 µbnN1 5 mmbranch lag time 0 Tbl0 192 hbranch lag time 1 Tbl1 528 hbranch lag time 2 Tbl1 528 hinitial branch angle θ 90 degdeflection index D 0.25 unitlessunit N fix* µfix 0.05 mol nodule-1 s-1
unit nodule cost* µnodm 0.075 mol nodule-1
unit nodule growth rate* µnodg 9 nodule mol-1
total seed reserve (N+nN)se
ed
56 mol
maximum N net influx rate Fmax 5.3 nmol m-2 s-1
kinetic constant Km 0.119 mol m-3
potential transpiration rate Tmax 2.55*10-8 m3 m-2 s-1
displacement dependentdispersivity
ε 30 mm
nitrate diffusion coefficient D 1.9*10-9 m2 s-1
Parameters used in the model for simulation of lupin root growth and nutrient uptake in soil [4 orders of branching: tap root (0), primary laterals (1), secondary laterals (2) and tertiary laterals (3)]. The branch lag time represents the time lag before a branch will grow (eg. a primary lateral) from a node on the previous branching order (eg. the tap root).
* represents those parameters previously calibrated in the model through simulating nutrient solution experiments.
Field data were used only to initialise the environmental variables required by the model, eg. soil bulk density, initial soil water contents, drained upper limit and wilting point parameters and rainfall
Model Output
The intensity of the bluebackground shows the water content and the black dotsblack dotsrepresent the nitrate content in soil
Model OutputL. angustifolius
plants growing in sandy soil
The intensity of the blue backgroundshows the water content and the black dotsblack dotsrepresent the nitrate content in soil
Model OutputL. angustifoliusplants growing in sandy soil
The intensity of the bluebackgroundshows the water content and the intensity of pinkcolour (also black dotsblack dots) represent the nitrate content in soil
initial soil profile
local high nitrate patch
root systems responding to their local environment
nitrate leaching through soil profile after successive rain events
local dry patch
- root elongation rate
- branching density
- duration of apical non-branching
- soil resistance
- time of appearance of each branching order
- axis initiation parameters
- direction of branching
φ
γφ = angle of deflection
γ = orientation of deflection
old direction
new direction
Root branching
1
65
3
4
2
7
node
pointers
nullΩ
Ω
ΩΩΩΩ
ΩΩ
Ω
Ω Ω
Ω
Extensible tree: data structure to store information on root architecture
∆π π π
C C CI
4 D f1
1
1 r RL
1
r RLL L L0
n
L 02
v 02
v
= − = − −−
Θ
If the influx, In, is known, the driving force for the diffusive flux can be calculated
CL = average soil solution concentration of the bulk soil
CL0 = solution concentration at the root surface
RLv = root length density
θ = volumetric soil water content
DL = diffusion coefficient in water
f = tortuosity factor
r0 = root radius
b∂ CL∂ t = 1r
∂∂ r rDeb∂ CL∂ r + v
0r0C
L
CL = soil solution concentration in the bulk soil v0 = water flux across the soil-root interface
De = effective diffusion coefficient in soilb = buffer power
r = radial distance from the root axis r0 = root radius
Transport equation
incorporating diffusion and mass flow
-
-1
Uptake of nitrate by various root architectures
herringbonecoarse
herringbonefine
L. angustifoliuscoarse
L. angustifoliusfine
L. pilosusdeep
L. pilosusshallow
dichotomous
decreasing rooting depth, increasing rooting density
11
14
17
20
23
26
29
nitrate uptake (L)
nitrate leached (E)
E=high leaching events early in the seasonL=high leaching events late in the season
at 108 days after sowing Dunbabin, Diggle & Rengel (2003). Plant Cell Environ. 26, 835-844
nitrate leached (L)
nitrate uptake (E)
ENGINE
StaticEnvironment
Processes
Scoreboard
Clock
A B C DE F1234567
Scoreboard Display Module
(Spreadsheet-like)
Manager Module
Bulk Density Module
Wilting Point
Graphics Display Module
NitrateModule
WeatherModule
DynamicProcesses
ExternalControlModule
PlantModule
Plant2
Plant1
Plant3
Model structure
Engine interacts with modules, with modelling activities synchronised by the clock.
The scoreboard represents the simulation volume, containing all 3-D parameter values.
-2-1
Uptake of nitrate by various root architectures
Dunbabin, Diggle & Rengel (2003). Plant Cell Environ. 26, 835-844
Uptake rate per surface area
0
2
4
6
0 20 40 60 80 100
L. pilosus (shallow)
L. pilosus (deep)
Herringbone (fine)
dichotomousx
….
E=high leaching events early in the season (as measured by Anderson et al 1988)
Nitrate leaching from topsoilcauses topsoil acidification
Change in soil pH
Lupinus angustifolius
0.20.0-0.2-0.4-0.6
Trifolium subterraneum
0.20.0-0.2-0.4-0.6
80
60
40
20
0
Dep
th (
cm)
Tang, Raphael, Rengel & Bowden 2001 Aust J Soil Res 38, 837-849.
Simulating nitrate uptake efficiency of root architectures
1.8(±0.11)
herringbone
0.78(±0.21)
highly branched
Relative nitrate uptake efficiency
Averaged over 30 simulations and 5 replicates
(dynamic/static nitrate supply)
Dunbabin, Rengel & Diggle (2003). In: Innovative Soil-Plant Systems for Sustainable Agricultural Practices, pp.2-16.
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