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Table 5 Statistical scores of the meta-model approximation results compared to observation data

From: Meta-modeling of a simulation chain for urban air quality

Scores over 1-month simulations Sirane solution \(c({\mathbf {p}})\) Meta-model solution \({\hat{c}}({\mathbf {p}})\)
  NRMSE \(\sqrt{\text {NMSE}}\) Bias Correlation NRMSE \(\sqrt{\text {NMSE}}\) Bias Correlation
All 4 stations 0.479 0.499 12.88 0.746 0.461 0.466 10.28 0.728
Lecoq 0.368 0.351 6.81 0.847 0.364 0.347 6.5 0.846
Montferrand 0.366 0.33 2.04 0.833 0.377 0.325 \(-1.6 \) 0.836
Gare 0.655 0.587 33.13 0.776 0.469 0.52 20.43 0.783
Chamalières 0.474 0.573 16.05 0.719 0.498 0.55 15.8 0.648
  1. NRMSE (10), \(\sqrt{\text {NMSE}}\) (11), Correlation (12), and bias (13) in \(\upmu \hbox {g\,m}^{-3}\)