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Definition

Standard deviation (std) of O-B values over a defined period 

Calculation

For each observed variable, the std of all valid data is computed for every station. 

Valid data

Data not flagged as missing value (O-B is not NULL) 

Minimum required valid data

Daily: 2 valid values 

Math expression

where Screenshot 2023-01-19 at 17.21.19.png, where Nj is number of valid data for variable j and the bar denotes the average as defined in Table 3.

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Definition

rmse of O-B values over a layer

Calculation

For each observed variable, the rmse is computed based on valid data for every station. 

Valid data

Bias and std not NULL. 

Minimum required valid data

2 valid value. 

Math expressionwhere



page9image9629952Image Added

, where bias and std are the average and standard deviation of O-B departures over a vertical layer (Trop or Stra, in section 2.2)


Note that quality indicators are applied only to the measured quantities whose O-B departures are available in the NWP monitoring reports, i.e. the ones whose model equivalent is available from the NWP assimilation system (see sections 2.1.1 and 2.1.2). Therefore, if the O-B departures are missing because the model background is not calculated in a particular NWP assimilation (e.g., not all centres compute O-B departures for observations they do not use in assimilation) the quality indicator will not be calculated and the station will not show up on the quality map. This is why some stations appear in the availability map, but not in the quality map. 

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