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1 Spatial Modelling of the Terrestrial Environment - Georeferencial

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72 <strong>Spatial</strong> <strong>Modelling</strong> <strong>of</strong> <strong>the</strong> <strong>Terrestrial</strong> <strong>Environment</strong><br />

Surface water content (%)<br />

Vegetation optical depth<br />

40<br />

25<br />

bare soil<br />

0.8<br />

0.5<br />

possibles<br />

truth<br />

retrieved<br />

10<br />

0.2<br />

40<br />

crop<br />

0.8<br />

25<br />

0.5<br />

10<br />

0.2<br />

40<br />

tall grass<br />

0.8<br />

25<br />

0.5<br />

10<br />

0.2<br />

40<br />

shrubs<br />

0.8<br />

25<br />

0.5<br />

10<br />

0.2<br />

40<br />

area–weighted mean<br />

0.8<br />

25<br />

0.5<br />

10<br />

0.2<br />

0 50 100 150 200 250 300 350<br />

Time(DOY)<br />

0 50 100 150 200 250 300 350<br />

Time(DOY)<br />

Figure 4.5 Patch-specific soil water content and vegetation optical depth for a syn<strong>the</strong>tic 5<br />

patch pixel with 20% bare soil; 20% water; 20% grass; 20% crop and 20% shrub. Also shown<br />

are <strong>the</strong> weighted averages. c○ 2002 IEEE, reproduced with permission<br />

symbols, with <strong>the</strong> black line linking those with <strong>the</strong> smallest error in brightness temperature.<br />

A wide range <strong>of</strong> possible solutions indicates <strong>the</strong>re is little information in <strong>the</strong> microwave<br />

brightness temperatures about <strong>the</strong> value <strong>of</strong> <strong>the</strong> soil moisture/optical depth at a particular<br />

time, whereas a narrow range indicates <strong>the</strong>re is much more information in <strong>the</strong> brightness<br />

temperature observations. The results suggest that, at higher optical depths, <strong>the</strong> microwave<br />

brightness temperature is less sensitive to <strong>the</strong> soil moisture than at lower optical depths as<br />

expected. When <strong>the</strong> preferred values are compared with <strong>the</strong> true values, i.e., <strong>the</strong> values for<br />

which <strong>the</strong> original area-average brightness temperatures were calculated, it is gratifying to<br />

see a significant level <strong>of</strong> agreement between <strong>the</strong> two. If <strong>the</strong>se results were used for data<br />

assimilation, potential errors could be evaluated and included in <strong>the</strong> assimilation process.<br />

This study assumes that <strong>the</strong> optical depth is independent <strong>of</strong> both look-angle and polarization.<br />

However, if <strong>the</strong> relationship between optical depth and look-angle/polarization could be<br />

parameterized, a similar, but more realistic, study could be made.<br />

4.4 Conclusion<br />

Passive microwave remote sensing is an important technique for <strong>the</strong> retrieval <strong>of</strong> soil moisture<br />

with application at a wide range <strong>of</strong> scales and in a variety <strong>of</strong> disciplines. However, at present,

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