Atmospheric Chemistry and Physics www.atmos-chem-phys.net 1680-7316 1680-7324 8 12 2008 10.5194/acp-8-3081-2008 http://www.atmos-chem-phys.net/8/3081/2008/ http://www.atmos-chem-phys.net/8/3081/2008/acp-8-3081-2008.html http://www.atmos-chem-phys.net/8/3081/2008/acp-8-3081-2008.pdf 3081 3092 2008-06-20 Impact of nonlinearity on changing the a priori of trace gas profile estimates from the Tropospheric Emission Spectrometer (TES) S. S. Kulawik susan.s.kulawik@jpl.nasa.gov K. W. Bowman M. Luo C. D. Rodgers L. Jourdain Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA University Oxford, Clarendon Lab, Oxford OX1 3PU, UK Non-linear maximum a posteriori (MAP) estimates of atmospheric profiles from the Tropospheric Emission Spectrometer (TES) contains a priori information that may vary geographically, which is a confounding factor in the analysis and physical interpretation of an ensemble of profiles. One mitigation strategy is to transform 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. The robustness of this assumption is tested 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. 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. Backus, G. and Gilbert, F.: Uniqueness in Inversion of Inaccurate Gross Earth Data, Philos. Tr. R. Soc. S-A, 266(1173), 123–192, 1970. Beer, R.: TES on the Aura mission: Scientific objectives, measurements, and analysis overview, IEEE T Geosci. Remote, 44(5), 1102–1105, 2006. Bowman, K. W., Worden, J., Steck, T., Worden, H. M., Clough, S. and Rodgers, C.: Capturing time and vertical variability of tropospheric ozone: A study using TES nadir retrievals, J. Geophys. Res.-Atmos., 107(D23), 4723, doi:10.1029/2002JD002150, 2002. Bowman, K. W., Rodgers, C. D., Kulawik, S. S., Worden, J., Sarkissian, E., Osterman, G., Steck, T., Lou, M., Eldering, A., Shephard, M., Worden, H., Lampel, M., Clough, S., Brown, P., Rinsland, C., Gunson, M., and Beer, R.: Tropospheric emission spectrometer: Retrieval method and error analysis, IEEE T Geosci. Remote, 44(5), 1297–1307, 2006. Bowman, K. W., Jones, D. B. A., Logan, J. A., Worden, H., Boersma, F., Chang, R., Kulawik, S. S., Osterman, G., and Worden, J.: Impact of surface emissions to the zonal variability of tropical tropospheric ozone and carbon monoxide for November 2004, Atmos. Chem. Phys. Discuss., 8, 1505–1548, 2008. Brasseur, G. P., Hauglustaine, D. A., Walters, S., Rasch, P. J., Muller, J. F., Granier, C. and Tie, X. X.: MOZART, a global chemical transport model for ozone and related chemical tracers 1. Model description, J. Geophys. Res.-Atmos., 103(D21), 28 265–28 289, 1998. Deeter, M. N., Emmons, L. K., Francis, G. L., Edwards, D. P., Gille, J. C., Warner, J. X., Khattatov, B., Ziskin, D., Lamarque, J. F., Ho, S. P., Yudin, V., Attie, J. L., Packman, D., Chen, J., Mao, D., and Drummond, J. R.: Operational carbon monoxide retrieval algorithm and selected results for the MOPITT instrument, J. Geophys. Res.-Atmos., 108(D14), 4399, doi:10.1029/2002JD003186, 2003. Deeter, M. N., Edwards, D. P., and Gille, J. C.: Retrievals of carbon monoxide profiles from MOPITT observations using lognormal a priori statistics, J. Geophys. Res.-Atmos., 112(D11), D11311, doi:10.1029/2006JD007999, 2007. Eldering, A., Kulawik, S. S., Worden, J. R., Bowman, K. W., and Osterman, G. B.: Implementation of Cloud Retrievals for TES Atmospheric Retrievals: 2. Characterization of cloud top pressure and effective optical depth retrievals, J. Geophys. Res., 113, D16S37, doi:10.1029/2007JD008858, 2008. Jones, D. B. A., Bowman, K. W., Palmer, P. I., Worden, J. R., Jacob, D. J., Hoffman, R. N., Bey, I., and Yantosca, R. M.: Potential of observations from the Tropospheric Emission Spectrometer to constrain continental sources of carbon monoxide, J. Geophys. Res.-Atmos., 108(D24), 4789, doi:10.1029/2003JD003702, 2003. Kulawik, S. S., Worden, H., Osterman, G., Luo, M., Beer, R., Kinnison, D. E., Bowman, K. W., Worden, J., Eldering, A., Lampel, M., Steck, T., and Rodgers, C. D.: TES atmospheric profile retrieval characterization: An orbit of simulated observations, Philos. Tr. R. Soc. S-A, 44(5), 1324–1333, 2006a. Kulawik, S. S., Worden, J., Eldering, A., Bowman, K., Gunson, M., Osterman, G. B., Zhang, L., Clough, S. A., Shephard, M. W., and Beer, R.: Implementation of cloud retrievals for Tropospheric Emission Spectrometer (TES) atmospheric retrievals: part 1. Description and characterization of errors on trace gas retrievals, J. Geophys. Res.-Atmos., 111(D24), D24204, doi:10.1029/2005JD006733, 2006b. Logan, J. A., Megretskaia, I., Nassar, R., Murray, L. T., Zhang, L., Bowman, K. W., Worden, H. M., and Luo, M.: Effects of the 2006 El Nino on tropospheric composition as revealed by data from the Tropospheric Emission Spectrometer (TES), Geophys. Res. Lett., 35(3), L03816, doi:10.1029/2007GL031698, 2008. Luo, M., Rinsland, C. P., Rodgers, C. D., Logan, J. A., Worden, H., Kulawik, S., Eldering, A., Goldman, A., Shephard, M. W., Gunson, M., and Lampel, M.: Comparison of carbon monoxide measurements by TES and MOPITT: Influence of a priori data and instrument characteristics on nadir atmospheric species retrievals, J. Geophys. Res.-Atmos., 112(D9), D09303, doi:101029/2006JD007663, 2007. Luo, M., Rinsland, C., Fisher, B., Sachse, G., Diskin, G., Logan, J., Worden, H., Kulawik, S., Osterman, G., Eldering, A., Herman, R., and Shephard, M.: TES carbon monoxide validation with DACOM aircraft measurements during INTEX-B 2006, J. Geophys. Res.-Atmos., 112(D24), D24S48, doi:10.1029/2007JD008803, 2007. Nassar, R., Logan, J. A., Worden, H. M., Megretskaia, I. A., Bowman, K. W., Osterman, G. B., Thompson, A. M., Tarasick, D. W., Austin, S., Claude, H., Dubey, M. K., Hocking, W. K., Johnson, B. J., Joseph, E., Merrill, J., Morris, G. A., Newchurch, M., Oltmans, S. J., Posny, F., Schmidlin, F. J., Vömel, H., Whiteman, D. N., and Witte, J. C.: Validation of Tropospheric Emission Spectrometer (TES) nadir ozone profiles using ozonesonde measurements, J. Geophys. Res.-Atmos., 113, D15S17, doi:10.1029/2007JD008819, 2008. Osterman, G., Bowman, K. R., Eldering, A., Fisher, B., Herman, R., Jacob, D., Jourdain, L., Kulawik,S. S., Luo, M., Monarrez, R., Paradise, S., Poosti, S., Richards, N., Rider, D., Shepard, D., Vilnrotter, F., Worden, H., Worden, J., and Yun, H.: Tropospheric Emission Spectrometer TES L2 Data User's Guide (Up to & including Version F04_04 data), Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, 2006. Osterman, G. B., Kulawik, S. S., Worden, H. M., Richards, N. A. D., Fisher, B. M., Eldering, A., Shephard, M. W., Froidevaux, L., Labow, G., Luo, M., Herman, R. L., Bowman, K. W., and Thompson, A. M.: Validation of Tropospheric Emission Spectrometer (TES) measurements of the total, stratospheric, and tropospheric column abundance of ozone, J. Geophys. Res., 113, D15S16, doi:10.1029/2007JD008801, 2008. Park, M., Randel, W. J., Kinnison, D. E., Garcia, R. R., and Choi, W.: Seasonal variation of methane, water vapor, and nitrogen oxides near the tropopause: Satellite observations and model simulations, J. Geophys. Res.-Atmos., 109(D3), D03302, doi:10.1029/2003JD003706, 2004. Richards, N. A. D., Osterman, G. B., Browell, E. V., Hair, J. W., Avery, M., and Li, Q.: Validation of Tropospheric Emission Spectrometer ozone profiles with aircraft observations during the Intercontinental Chemical Transport Experiment, B, J. Geophys. Res., 113, D16S29, doi:10.1029/2007JD008815, 2008. Rienecker, M. M., Suarez, M. J., Todling, R., Bacmeister, J., Takacs, L., Liu, H.-C., Gu, W., Sienkiewicz, M., Koster, R. D., Gelaro, R., and Stajner, I.: The GEOS-5 Data Assimilation System: A Documentation of GEOS-5.0/NASA TM 104606, Technical Report Series on Global Modeling and Data Assimilation, *v27*, 2006. Rinsland, C. P., Luo, M., Logan, J. A., Beer, R., Worden, H., Kulawik, S. S., Rider, D., Osterman, G., Gunson, M., Eldering, A., Goldman, A., Shephard, M., Clough, S. A., Rodgers, C., Lampel, M., and Chiou, L.: Nadir measurements of carbon monoxide distributions by the Tropospheric Emission Spectrometer instrument onboard the Aura Spacecraft: Overview of analysis approach and examples of initial results, Geophys. Res. Lett., 33(22), L22806, doi:10.1029/2006GL027000, 2006. Rodgers, C.: Inverse Methods for Atmospheric Sounding: Theory and Practice, World Scientific Publishing Co., Singapore, 2000. Rodgers, C. D. and Connor, B. J.: Intercomparison of remote sounding instruments, J. Geophys. Res.-Atmos., 108(D3), 4116, doi:10.1029/2002JD002299, 2003. Shephard, M. W., Herman, R. L., Fisher, B. M., Cady-Pereira, K. E., Clough, S. A., Payne, V. H., Whiteman, D. N., Comer, J. P., V\" omel, H., Milosevich, L. M., Forno, R., Adam, M., Osterman, G. B., Eldering, A., Worden, J. R., Brown, L. R., Worden, H. M., Kulawik, S. S., Rider, D. M., Goldman, A., Beer, R., Bowman, K. W., Rodgers, C. D., Luo, M., Rinsland, C. P., Lampel, M., and Gunson, M. R.: Comparison of Tropospheric Emission Spectrometer nadir water vapor retrievals with in situ measurements, J. Geophys. Res., 113, D15S24, doi:10.1029/2007JD008822, in press, 2008. Worden, H. M., Logan, J. A., Worden, J. R., Beer, R., Bowman, K., Clough, S. A., Eldering, A., Fisher, B. M., Gunson, M. R., Herman, R. L., Kulawik, S. S., Lampel, M. C., Luo, M., Megretskaia, I. A., Osterman, G. B., and Shephard, M. W.: Comparisons of Tropospheric Emission Spectrometer (TES) ozone profiles to ozonesondes: Methods and initial results, J. Geophys. Res.-Atmos., 112(D3), D03309, doi:10.1029/2006JD007258, 2007. Worden, J., Noone, D., and Bowman, K.: Importance of rain evaporation and continental convection in the tropical water cycle, Nature, 445(7127), 528–532, 2007. Zhang, L., Jacob, D. J., Bowman, K. W., Logan, J. A., Turquety, S., Hudman, R. C., Li, Q. B., Beer, R., Worden, H. M., Worden, J. R., Rinsland, C. P., Kulawik, S. S., Lampel, M. C., Shephard, M. W., Fisher, B. M., Eldering, A., and Avery, M. A.: Ozone-CO correlations determined by the TES satellite instrument in continental outflow regions, Geophys. Res. Lett., 33(18), L18804, doi:10.1029/2006GL026399, 2006. Zipser, E. J.: The role of organized unsaturated convective downdrafts in the structure and rapid decay of an equatorial disturbance, J. Appl. Meteorol., 8, 799–814, 1969.