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ICRISAT Archival Report 2006 - The seedlings of success in the ...

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Figure 9A.2. Schematic representation <strong>of</strong> a data assimilation procedure to improve f<strong>in</strong>al model yield estimates<br />

us<strong>in</strong>g <strong>in</strong>-season ra<strong>in</strong>fall forecasts and satellite biomass observations. At T=0, a crop model (mechanistic or<br />

empirical) is <strong>in</strong>itialized with an ensemble <strong>of</strong> equally likely conditions (us<strong>in</strong>g a Monte Carlo technique). <strong>The</strong><br />

model is <strong>the</strong>n propagated forward <strong>in</strong> time with each realization <strong>of</strong> <strong>the</strong> ensemble. When estimates <strong>of</strong> system<br />

states (e.g. biomass), model parameters (crop type, sow<strong>in</strong>g date,…) or boundary conditions (cumulative<br />

ra<strong>in</strong>fall) become available an Ensemble Kalman Filter (EnKF) updates <strong>the</strong>se and <strong>the</strong> measures <strong>of</strong> uncerta<strong>in</strong>ty<br />

<strong>the</strong>re<strong>of</strong>. EnKF has improved early estimates <strong>of</strong> system states <strong>in</strong> physical oceanography, meteorology, air<br />

pollution monitor<strong>in</strong>g, hydrological streamflow forecast<strong>in</strong>g, petroleum eng<strong>in</strong>eer<strong>in</strong>g, fish stock assessment, and<br />

more recently carbon sequestration studies (Jones et al., 2005)<br />

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