Lecture3

Lecture3 - Background on Ecohydrology Quantitative...

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Background on Ecohydrology
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Quantitative Framework: Water Balance
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Modeling Equations Global water balance (spatially averaged): nZ r ds/dt = I(s,t) – E(s,t) – T(s,t) – L(s,t) with: n = soil porosity; Z r = root zone depth [L] s(t) = soil moisture saturation (0 < s < 1) I(s,t) = infiltration from rainfall [LT -1 ] E(s,t) = evaporation rate [LT -1 ] T(s,t) = transpiration rate [LT -1 ] L(s,t) = net recharge rate to groundwater [LT -1 ]
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Stochastic Approach Rainfall is modeled as a random process, which results in infiltration I(s,t) being a random forcing function Soil moisture, as well as other components of the water balance (E, T, L) are also random as a result of the water balance Actual occurrence is viewed as a realization of a stochastic process Focus here on quantifying the statistics of the water balance components and the resulting effect on vegetation stress
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Modeling Equations Infiltration: modeled as dependent on the capacity of the soil to accommodate moisture within its void volume I(s,t) = min {R(t), nZr [1-s(t)]} δ (t-ti) R(t) = daily rainfall depth
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Modeling Equations Evaporation: modeled as dependent on soil moisture level, as follows:
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This note was uploaded on 07/09/2011 for the course CWR 5104C taught by Professor Miralles during the Spring '11 term at FIU.

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Lecture3 - Background on Ecohydrology Quantitative...

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