Spatio-Temporal Cross-Covariance Functions under the Lagrangian Framework with Multiple Advections

  title={Spatio-Temporal Cross-Covariance Functions under the Lagrangian Framework with Multiple Advections},
  author={Mary Lai O. Salva{\~n}a and Amanda Lenzi and Marc G. Genton},
  journal={Journal of the American Statistical Association},
When analyzing the spatio-temporal dependence in most environmental and earth sciences variables such as pollutant concentrations at different levels of the atmosphere, a special property is observed: the covariances and cross-covariances are stronger in certain directions. This property is attributed to the presence of natural forces, such as wind, which cause the transport and dispersion of these variables. This spatio-temporal dynamics prompted the use of the Lagrangian reference frame… 

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