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1 Spatial Modelling of the Terrestrial Environment - Georeferencial

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Coupled Land Surface and Microwave Emission Models 61<br />

ensures consistency between <strong>the</strong> parameterizations used within <strong>the</strong> modelling system. Two<br />

coupled models are commonly discussed in <strong>the</strong> literature, MICRO-SWEAT (Burke et al.,<br />

1997; 1998; 2003) and LSP/R (Judge et al., 1999, 2001; Liou et al., 1998; Liou and<br />

England, 1998). Both <strong>of</strong> <strong>the</strong>se models produce excellent agreement with measurements:<br />

MICRO-SWEAT has been successfully compared with 1.4 GHz (L-band) truck-based data<br />

and LSP/R with 19 GHz tower-based data. To date, most research has focused on running<br />

<strong>the</strong>se models at point scale, but Burke et al. (2003) used data collected during <strong>the</strong> Sou<strong>the</strong>rn<br />

Great Plains 1997 experiment (SGP97 homepage) to investigate <strong>the</strong> effectiveness <strong>of</strong> using<br />

a 2-D array <strong>of</strong> MICRO-SWEAT models to predict distributed L-band microwave brightness<br />

temperatures measured by an aircraft. They found discrepancies between <strong>the</strong> spatial<br />

distributions <strong>of</strong> modelled and measured brightness temperature which likely result from<br />

imperfect knowledge <strong>of</strong> <strong>the</strong> spatial distributions <strong>of</strong> soil properties, precipitation, and <strong>the</strong><br />

representation <strong>of</strong> vegetation.<br />

In <strong>the</strong>ory, any land-surface model [e.g. BATS (Dickinson et al., 1986); CLM (Zeng<br />

et al., 2002); LSM (Bonan, 1996)] could be coupled with a microwave emission model.<br />

However, in practice, because <strong>the</strong> microwave brightness temperature is mainly sensitive to<br />

near-surface soil moisture (in top 2–5 cm) and decreases with depth in <strong>the</strong> soil, <strong>the</strong> most<br />

accurate predictions <strong>of</strong> microwave brightness temperature result when using a land surface<br />

model that represents very fine near-surface soil layers. For example, in <strong>the</strong>ir studies, Burke<br />

et al. (1997; 1998) used SWEAT (Daamen and Simmonds, 1996), a land surface model<br />

that has 8 layers in <strong>the</strong> top 5 cm, with layer thickness increasing with depth from a 1 mm<br />

thick top layer.<br />

In general, <strong>the</strong> microwave emission from <strong>the</strong> soil can be described using coherent<br />

(Wilheit, 1978; Njoku and Kong, 1977; England, 1976) or non-coherent models (Burke<br />

et al., 1979; England, 1975). Schmugge and Choudhury (1981) and Ulaby et al. (1986)<br />

compared <strong>the</strong>se two types <strong>of</strong> models, as follows. Non-coherent models estimate emissivity<br />

using <strong>the</strong> dielectric contrast at <strong>the</strong> air/soil interface and are accurate only when <strong>the</strong> (variable)<br />

sampling depth within <strong>the</strong> soil is well known. Most retrieval algorithms are based on<br />

non-coherent models, with <strong>the</strong> near-surface soil water content assumed to be uniform to<br />

a specified depth. In <strong>the</strong> case <strong>of</strong> L-band, this is usually 5 cm (e.g. Jackson et al., 1999).<br />

In coherent models, <strong>the</strong> value <strong>of</strong> <strong>the</strong> emissivity at <strong>the</strong> surface is coupled to <strong>the</strong> dielectric<br />

properties <strong>of</strong> <strong>the</strong> soil below <strong>the</strong> surface; consequently, <strong>the</strong>y provide better estimates <strong>of</strong> <strong>the</strong><br />

emissivity when <strong>the</strong> soil water content pr<strong>of</strong>ile is not uniform. One significant disadvantage<br />

<strong>of</strong> coherent models is that interference effects can occur, but <strong>the</strong>se have only rarely been<br />

witnessed in nature (Schmugge et al., 1998).<br />

The emission component <strong>of</strong> MICRO-SWEAT is based on <strong>the</strong> Wilheit (1978) coherent<br />

model <strong>of</strong> electromagnetic propagation through a plain stratified medium. The Wilheit (1978)<br />

model relates <strong>the</strong> brightness temperature emergent at <strong>the</strong> soil surface to <strong>the</strong> dielectric<br />

properties and temperature <strong>of</strong> <strong>the</strong> underlying soil layers. For radiation with polarization, p,<br />

<strong>the</strong> microwave brightness temperature, T Bp (K), is given (Wilheit, 1978) by:<br />

T Bp (θ) =<br />

N∑<br />

f ip (θ) T i (1)<br />

i=1<br />

where T i is <strong>the</strong> temperature <strong>of</strong> <strong>the</strong> ith layer (K), f ip is <strong>the</strong> fraction <strong>of</strong> energy absorbed from<br />

an incident microwave with polarization p by <strong>the</strong> ith layer (a function <strong>of</strong> <strong>the</strong> dielectric

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