Atmospheric Chemistry and Physics Discussions www.atmos-chem-phys-discuss.net 1680-7367 1680-7375 8 1 2008 10.5194/acpd-8-1261-2008 http://www.atmos-chem-phys-discuss.net/8/1261/2008/ http://www.atmos-chem-phys-discuss.net/8/1261/2008/acpd-8-1261-2008.html http://www.atmos-chem-phys-discuss.net/8/1261/2008/acpd-8-1261-2008.pdf 1261 1289 2008-01-25 Technical Note: Impact of nonlinearity on changing the a priori of trace gas profiles estimates from the Tropospheric Emission Spectrometer (TES) S. S. Kulawik susan.kulawik@jpl.nasa.gov K. W. Bowman M. Luo C. D. Rodgers L. Jourdain Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA University Oxford, Clarendon Lab, Oxford OX1 3PU, UK Non-linear optimal estimates of atmospheric profiles from the Tropospheric Emission Spectrometer (TES) may contain a priori information that varies geographically, which is a confounding factor in the analysis and physical interpretation of an ensemble of profiles. A common strategy is to transform these profile estimates to a common prior using a linear operation thereby facilitating the interpretation of profile variability. However, this operation is dependent on the assumption of not worse than moderate non-linearity near the solution of the non-linear estimate. We examines the robustness of this assumption when exchanging the prior by comparing atmospheric retrievals from the Tropospheric Emission Spectrometer processed with a uniform prior with those processed with a variable prior and converted to a uniform prior following the non-linear retrieval. We find that linearly converting the prior following a non-linear retrieval is shown to have a minor effect on the results as compared to a non-linear retrieval using a uniform prior when compared to the expected total error, with less than 10% of the change in the prior ending up as unbiased fluctuations in the profile estimate results. 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