Co-variability of the atmospheric and geophysical parameters in mid-latitude troposphere

The Principal Component Analysis (PCA) of meteorological parameters (air pressure and geopotential heights) at different pressure levels in troposphere and tropopause regions allows to extract components which strongly resemble variations of the cosmic rays (CR) and geomagnetic field. The study is based on the locally measured parameters (atmospheric, cosmic rays and geomagnetic) at the mid-latitudes (Spain and Portugal). The results of the analysis allow us to make two conclusions.
At first, the methods used to correct the ground measured cosmic ray flux (measured by the neutron monitors) for the atmospheric depth variations based on the ground measured air pressure variations do not permit to fully exclude the atmospheric components from the measured CR variations. The corrected for pressure and efficiency data still contain an information on the long-term (with characteristic period from weeks to months) variations of the pressure (and temperature as well) of the top troposphere-tropopause (and probably, stratosphere) region.
Secondly, the short-term (with characteristic period from days to weeks) variations of the atmospheric parameters show similarities with the variations of the geomagnetic field on the same time scale. These variations can be observed at most of the tropospheric pressure levels. No significant co-variability was found between these short-term atmospheric modes and CR flux changes.