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Hydrological modelling of the Zambezi catchment for ... - TU Delft

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PROBLEM ANALYSIS<br />

Error(measurement)<br />

Real world<br />

Error(measurement)<br />

Error(measurement)<br />

River measurements<br />

Satellite<br />

measurements<br />

GRACE<br />

measurements<br />

STREAM input maps<br />

Error(interpolation)<br />

Algorithm<br />

1<br />

Error(calculation)<br />

STREAMmodel<br />

dG measured<br />

map<br />

Error(algorithm1)<br />

comparison<br />

Error(model)<br />

Error(model)<br />

dG calculated<br />

map<br />

Calculated<br />

River<br />

discharge<br />

Modeled<br />

River<br />

discharge<br />

dS hydro map<br />

Algorithm<br />

2<br />

calibration<br />

Figure 2.7: Overview <strong>of</strong> errors. Hydrology: yellow left side. Geodesy/Aerospace: green right side.<br />

Aerospace/Geodesy errors<br />

Figure 2.7 shows three types <strong>of</strong> errors are shown. First <strong>the</strong>re are measuring errors. GRACE<br />

measures <strong>the</strong> distance between <strong>the</strong> two satellites. Although <strong>the</strong> equipment is very precise,<br />

<strong>the</strong>re will still be a measuring error. Also in <strong>the</strong> determination <strong>of</strong> <strong>the</strong> position <strong>of</strong> <strong>the</strong> two<br />

satellites with GPS are deviations.<br />

Second, <strong>the</strong>re are algorithm(1) errors. GRACE measures <strong>the</strong> distance between <strong>the</strong> twin<br />

satellites. The measured distance has to be converted to gravity field values. Some kind <strong>of</strong><br />

algorithm will do this, but <strong>the</strong>re will be errors inside, because <strong>of</strong> unknown effects,<br />

misunderstanding <strong>of</strong> <strong>the</strong> system, etc.<br />

Finally, <strong>the</strong>re will be errors (algorithm(2)) introduced by ‘up scaling’ <strong>the</strong> dS-maps, calculated<br />

by STREAM, to <strong>the</strong> signal that GRACE would have measured.<br />

10

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