# The application of mean averaging kernels to mean trace gas distributions

Clarmann, Thomas von; Glatthor, Norbert

##### Abstract:
To avoid unnecessary data traffic it is sometimes desirable to apply mean averaging kernels to mean profiles of atmospheric state variables. Unfortunately, application of averaging kernels and averaging are not commutative in cases when averaging kernels and state variables are correlated. That is to say, the application of individual averaging kernels to individual profiles and subsequent averaging will, in general, lead to different results than averaging of the original profiles prior to the application of the mean averaging kernels unless profiles and averaging kernels are fully independent. The resulting error, however, can be corrected by subtraction of the covariance between the averaging kernel and the vertical profile. Thus it is recommended to calculate the covariance profile along with the mean profile and the mean averaging kernel.

 Zugehörige Institution(en) am KIT Institut für Meteorologie und Klimaforschung - Atmosphärische Spurenstoffe und Fernerkundung (IMK-ASF) Publikationstyp Zeitschriftenaufsatz Publikationsjahr 2019 Sprache Englisch Identifikator ISSN: 1867-1381, 1867-8548 KITopen-ID: 1000098367 HGF-Programm 12.04.05 (POF III, LK 01)Trends,Variaility,Large-Scale Processes Erschienen in Atmospheric measurement techniques Band 12 Heft 9 Seiten 5155-5160 Bemerkung zur Veröffentlichung Gefördert durch den KIT-Publikationsfonds Vorab online veröffentlicht am 26.09.2019 Nachgewiesen in ScopusWeb of Science Relationen in KITopen Verweist aufMIPAS HCN and O$_3$ data used to study the effect of mean averaging kernels. Glatthor, Norbert; Clarmann, Thomas von (2019) Forschungsdaten (1000098437)
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page