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start:hype_tutorials:updating

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start:hype_tutorials:updating [2018/08/10 15:35]
cpers [AR – updating of discharge (qar)]
start:hype_tutorials:updating [2018/08/10 15:35] (current)
cpers [AR - updating of lake water stage for discharge (warupd)]
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 The updating method applies AR-updating on error of water stage in outlet lake. The output variable for water stage is updated with the current AR-changed error or a saved AR-change. Let t0 be a timestep with an observation followed by timesteps(t+n) ​ without any observations. Let //AR// be the AR-factor (usually 0-1) set by user, //Wm// = modelled water stage and //Wr// = recorded water stage. Err is the calculated error on the last timestep with observation,​ then the updated discharge (//War//) is: The updating method applies AR-updating on error of water stage in outlet lake. The output variable for water stage is updated with the current AR-changed error or a saved AR-change. Let t0 be a timestep with an observation followed by timesteps(t+n) ​ without any observations. Let //AR// be the AR-factor (usually 0-1) set by user, //Wm// = modelled water stage and //Wr// = recorded water stage. Err is the calculated error on the last timestep with observation,​ then the updated discharge (//War//) is:
  
-<m> Err(t0) = Wm(t0) ​– Wr(t0) </m>+<m> Err(t0) = Wm(t0) ​Wr(t0) </m>
  
-<m> War(t+n) = Wm(t+n) - Err(t0)*AR^n ​</​m> ​     <m> (War>=0</m>+<m> War(t+n) = Wm(t+n) - Err(t0)*AR^n ​War>=0 </m>
  
 The change made in the last timestep is saved for the next timestep and then multiplied with AR again. The change for the last timestep is saved to the statefiles when an output state is asked for. This change is used for continued AR-updating after the model is restarted from the saved state. The change made in the last timestep is saved for the next timestep and then multiplied with AR again. The change for the last timestep is saved to the statefiles when an output state is asked for. This change is used for continued AR-updating after the model is restarted from the saved state.
start/hype_tutorials/updating.txt · Last modified: 2018/08/10 15:35 by cpers