Statistical analysis of water vapour and ozone in the UT/LS observed during SPURT and MOZAIC

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Abstract

A statistical analysis for the comparability of water (H2O) and ozone (O3) data sets sampled during the SPURT aircraft campaigns and the MOZAIC passenger aircraft flights is presented. The Kolmogoroff-Smirnoff test reveals that the distribution functions from SPURT and MOZAIC trace gases differ from each other with a confidence of 95%. A variance analysis shows a different variability character in both trace gas data sets. While the SPURT H2O data only contain atmospheric processes variable on a diurnal or synoptical timescale, MOZAIC H2O data also reveal processes, which vary on inter-seasonal and seasonal timescales. The SPURT H2O data set does not represent the full MOZAIC H2O variance in the UT/LS for climatological investigations, whereas the variance of O3 is much better represented. SPURT H2O data are better suited in the stratosphere, where the MOZAIC RH sensor looses its sensitivity.

Figures

  • Fig. 1. Geographical distribution of flights during SPURT (left) and MOZAIC (right). The frequency of 1 Hz (SPURT) or 1-min-averaged (MOZAIC) data points in each geographical 1◦ lat×1◦ lon bin is colour-coded. The extension of SPURT flights is marked as black box in the MOZAIC plot and additionally the frequency of MOZAIC flights in this European sector during 2001 and 2003 can be seen down right.
  • Fig. 2. Vertical distribution of percentage of data points dependent on potential temperature in distance to tropopause (DTP) during SPURT (black line) and MOZAIC in the European region (red line). Averages in 5 K bins are shown in reference to the tropopause (PV=2 PVU, DTP=0 K). The legend contains the percentage of data points in the stratosphere (S) and troposphere (T).
  • Fig. 3. Probability distribution functions of MOZAIC (top) and SPURT (down) H2O mixing ratio related to the distance to the local tropopause in K, considered as the 2 PVU surface. H2O is binned in the logarithmical space between 0 and 9.6 with a bin size of 0.8, the distance to local tropopause in 5 K bins. Left panels: PDF of original H2O data. The mean vertical profile (grey-black solid line) and the uncertainty of 5% RH (white dashed lines) are shown for the MOZAIC PDF. SPURT accuracy of H2O data is 6% of concentration (not shown). Middle panels: The distribution of original data (panels A and D) is shadowed and those of selected H2O data set (RH<10%, RHice≤100%, H2O<500 ppmv, p<250 hPa, see text) is colour coded. The mean PDFs are also shown as black-grey line (original data) and blue-white line (selected data). Right panels: Number of original data points per bin (blue shaded) and of selected data (pink non filled contours 0, 100, 500, 5000 data per DTP bin). The fraction of selected data relative to the original number in each DTP bin in percent is shown as yellow diamonds for all DTP bins with more than 1% data.
  • Fig. 4. Probability distribution functions of MOZAIC (top) and SPURT (down) similar to Fig. 3, but now for O3 mixing ratios related to the 2 PVU tropopause. The bin size for O3 is 0.4 in the logarithmical space between 0 and 7.6, that for the DTP is again 5 K. With a very high accuracy of 5% the original trace gas distributions do not contain any accuracy limits. The right panels show the fraction of selected data relative to the original number in each DTP bin with more than 10% data as yellow diamonds.
  • Table 1. Selected constants for the Kolmogoroff-Smirnoff test. (Sachs and Hedderich, 2006)
  • Fig. 5. Frequency distributions of the H2O (left) and O3 mixing ratio in the troposphere (DTP<–5 K) and stratosphere (DTP>5 K), normalized by dividing the single bin frequencies in percent by the total number of data points (see legend). The frequency distributions of the data selected by the instrument criteria (see text) are represented by solid lines, those of unselected original data by dashed lines. H2O is binned in 5 ppmv and O3 in 10 ppbv. The means of the selected data MOZAIC and SPURT are marked by triangle symbols, the medians by circle symbols. In case of unselected data they are beyond the range of the ordinate.
  • Fig. 6. Probability networks with empirical cumulative frequency functions in% of H2O and O3 mixing ratios in MOZAIC (red) and SPURT (black). Left: Troposphere (DTP<–5 K). Right: stratosphere (DTP>5 K). The cutoff value Dα is displayed as α=95% confidence region for each frequency function (dotted line) and the corresponding test statistic D̂ (dashed cyan line).
  • Table 2. Kolmogoroff-Smirnoff test statistics D̂ and cutoff values Dα (rounded for four decimal places) for two different confidences α=95% and α=99.9%

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APA

Kunz, A., Schiller, C., Rohrer, F., Smit, H. G. J., Nedelec, P., & Spelten, N. (2008). Statistical analysis of water vapour and ozone in the UT/LS observed during SPURT and MOZAIC. Atmospheric Chemistry and Physics, 8(22), 6603–6615. https://doi.org/10.5194/acp-8-6603-2008

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