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S I a Z r ET nZ r ds dt = I a ( s , p, V )− ET ( s , V )− D ( s ) A Bucket-type Ecohydrology model: Water Balance D s h s w s * s fc Soil Moistur e ET p E min s h <s<s w s w <s<s * s * <s Losses (mm/day) D + ET p Laio et al. [2001] Canopy Erkan Istanbulluoglu University of Nebraska

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A Bucket-type Ecohydrology model: Water Balance. ET. Canopy. I a. S. Z r. D. Erkan Istanbulluoglu University of Nebraska. Laio et al. [2001]. Tracking Grassland Dynamics. Net Primary Productivity:. Green Biomass, B g :. Root Biomass, B r :. Dead Biomass, B d :. - PowerPoint PPT Presentation

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S

Ia

Zr

ET

€

nZrds

dt= Ia(s,p ,V )− ET (s,V )− D(s)

A Bucket-type Ecohydrology model: Water Balance

D

sh sw s*

sfc

Soil Moisture

ETp

Emin

sh<s<sw sw<s<s* s*<s

Losses (mm/day)

D + ETp

Laio et al. [2001]

Canopy

Erkan IstanbulluogluUniversity of Nebraska

€

NPP = ETaWUEρ vω

€

dBgdt

= NPPφa − ksgBg − ksf ξBg

€

dBrdt

= NPP(1−φa )− kdrBr − ksrBr

€

dBddt

= ksgBg − kddBd

Net Primary Productivity:

Green Biomass, Bg :

Dead Biomass, Bd:

Root Biomass, Br:

Tracking Grassland Dynamics

WUE: Water use efficiency taken as constant

Kx : Decay coefficient for variable x.€

φa = 1−LAIgLAIgmax

⎛

⎝ ⎜ ⎜

⎞

⎠ ⎟ ⎟Allocation coefficient:

MODEL PREDICTIONS: SOIL MOISTURE

P

Time

MODEL PREDICTIONS: VEGETATION BIOMASS

MODEL PREDICTIONS: VEGETATION LIA

MODEL PREDICTIONS - ET SINUSOIDAL FUNCTION

MODEL PREDICTIONS (1890 - 2007)

POISSON PULSE STORM FORCING W/ SEASONALITY

Complex Combinational Circuits Binary Adders Key to enterprise: Addition table also a truth table S i = C i 'A i B i ' + C i 'A i 'B i + C i A i 'B i '+

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