algorithm; atmospheric chemistry; detection method; FTIR spectroscopy; ground-based measurement; heterogeneity; ozone; ozonesonde; stratosphere; time series analysis; trend analysis; uncertainty analysis
Abstract :
[en] Large uncertainties and variability in individual ground-based instrument records limit the detection of statistically significant ozone trends, particularly in the lower stratosphere. Available merging studies are typically performed by latitude bands on satellite-based data records. This study derives correlation-based regional composites of ground-based timeseries towards reducing trend uncertainties. We address fundamental heterogeneities resulting from grouping individually homogenized ground-based datasets to enable robust merging. Uneven temporal and vertical resolutions of five ozone measurement techniques (Ozonesondes, FTIR, Dobson Umkehr, Lidar and Microwave radiometers) are handled by integrating monthly mean ozone profiles in two sets of four independent partial columns. Spatial heterogeneity is resolved by defining coherent regions using the Copernicus Atmosphere Monitoring Service (CAMS) reanalysis. Regional timeseries are merged by the BAyeSian Integrated and Consolidated (BASIC) algorithm, adapted to consider propagated measurement uncertainties and the agreement between individual timeseries by Principal Component Analysis (PCA). Trends for the 2000–2024 period are then estimated by Multiple Linear Regression using the LOTUS model. We compare BASIC with a conventional weighted mean. While the weighted mean fails to capture variability during periods of low instrument consensus, BASIC produces more representative timeseries by robustly handling outliers. Accordingly, for the selected regions, BASIC reduces average uncertainties of the trend estimates by 9.4 % relative to the weighted-mean approach. Our results support positive trends in the upper stratosphere, predominantly negative trends in the middle stratosphere and non-significant trends in the lower stratosphere. This study establishes a consolidated ground-based reference to be used for comparison with global satellite-based ozone trends.
Disciplines :
Earth sciences & physical geography
Author, co-author :
Mirallie, Louis ; Federal Office of Meteorology and Climatology, MeteoSwiss, Payerne, Switzerland ; Institute of Applied Physics, University of Bern, Bern, Switzerland ; Oeschger Center for Climate Change Research, Microwave Physics, University of Bern, Bern, Switzerland
Barras, Eliane Maillard; Federal Office of Meteorology and Climatology, MeteoSwiss, Payerne, Switzerland
Jonas, Caroline; Royal Belgian Institute for Space Aeronomy (BIRA-IASB), Uccle, Belgium
Vigouroux, Corinne; Royal Belgian Institute for Space Aeronomy (BIRA-IASB), Uccle, Belgium
Van Malderen, Roeland ; Royal Meteorological Institute, Uccle, Belgium
Petropavlovskikh, Irina ; Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, United States ; NOAA Global Monitoring Laboratory, Boulder, United States
Godin-Beekmann, Sophie ; LATMOS/IPSL, Sorbonne Université, UVSQ, CNRS, Paris, France
Leblanc, Thierry; Jet Propulsion Laboratory, California Institute of Technology, Wrightwood, United States
Steinbrecht, Wolfgang ; Deutscher Wetterdienst, Hohenpeißenberg, Germany
Vadès, Antoine; Federal Office of Meteorology and Climatology, MeteoSwiss, Payerne, Switzerland
Ruefenacht, Rolf ; Federal Office of Meteorology and Climatology, MeteoSwiss, Payerne, Switzerland
Haefele, Alexander ; Federal Office of Meteorology and Climatology, MeteoSwiss, Payerne, Switzerland
Stober, Gunter ; Institute of Applied Physics, University of Bern, Bern, Switzerland ; Oeschger Center for Climate Change Research, Microwave Physics, University of Bern, Bern, Switzerland
Effertz, Peter ; Cooperative Institute for Research in Environmental Sciences, University of Colorado, Boulder, United States ; NOAA Global Monitoring Laboratory, Boulder, United States
Gröbner, Julian ; Physikalisch-Meteorologisches Observatorium Davos World Radiation Centre, Davos Dorf, Switzerland
Ancellet, Gerard; LATMOS/IPSL, Sorbonne Université, UVSQ, CNRS, Paris, France
Cazorla, María ; Instituto de Investigaciones Atmosféricas, Universidad San Francisco de Quito USFQ, Quito, Ecuador
Duff, Petra; Department of Physics, University of Toronto, Toronto, Canada
Frey, Matthias M.; Institute for Meteorology and Climate Research Atmospheric Trace Gases and Remote Sensing (IMKASF), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
Gill, Michael; Met Éireann Valentia Observatory, Cahersiveen, Ireland
Hannigan, James W. ; National Center for Atmospheric Research, Boulder, United States
Jones, Nicholas; University of Wollongong, Wollongong, Australia
Kivi, Rigel ; Space and Earth Observation Centre, Finnish Meteorological Institute, Sodankylä, Finland
Köhler, Raphael ; Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Potsdam, Germany
Kois, Bogumil; Institute of Meteorology and Water Management, National Research Institute (IMGW-PIB), Poland
Kollonige, Debra E.; Earth Sciences Division, NASA Goddard Space Flight Center, Greenbelt, United States ; ADNET Systems, Inc., Bethesda, United States
Mahieu, Emmanuel ; Université de Liège - ULiège > Sphères ; Université de Liège - ULiège > Département d'astrophysique, géophysique et océanographie (AGO) > Groupe infra-rouge de physique atmosphérique et solaire (GIRPAS)
McConville, Glen; NOAA Global Monitoring Laboratory, Boulder, United States
Mellqvist, Johan ; Space Earth and Environment, Chalmers University of technology, Göteborg, Sweden
Morris, Gary ; NOAA Global Monitoring Laboratory, Boulder, United States
Murata, Isao; Graduate School of Environmental Studies, Tohoku University, Sendai, Japan
Nagahama, Tomoo ; Institute for Space-Earth Environmental Research, Nagoya University, Nagoya, Japan
Nedoluha, Gerald E.; Naval Research Laboratory, Washington, United States
Ogino, Shin-Ya; Japan Agency for Marine-Earth Science and Technology (JAMSTEC), Research Institute for Global Change, Yokosuka, Japan
Querel, Richard ; Earth Sciences New Zealand (ESNZ), Lauder, New Zealand
Stauffer, Ryan M. ; Earth Sciences Division, NASA Goddard Space Flight Center, Greenbelt, United States
Stremme, Wolfgang ; Instituto de Ciencias de la Atmósfera y Cambio Climático, Universidad Nacional Autonoma de Mexico (UNAM), Mexico City, Mexico
Strong, Kimberly; Department of Physics, University of Toronto, Toronto, Canada
Sussmann, Ralf ; Karlsruhe Institute of Technology (KIT), IMKIFU, Garmisch-Partenkirchen, Germany
Thompson, Anne M. ; Earth Sciences Division, NASA Goddard Space Flight Center, Greenbelt, United States ; University of Maryland – Baltimore County, Baltimore, United States
Virolainen, Yana ; St.Petersburg State University, St.Petersburg, Russian Federation
Arosio, C., Rozanov, A., Malinina, E., Weber, M., and Burrows, J. P.: Merging of ozone profiles from SCIAMACHY, OMPS and SAGE II observations to study stratospheric ozone changes, Atmos. Meas. Tech., 12, 2423–2444, https://doi.org/10.5194/amt-12-2423-2019, 2019.
Ball, W. T., Alsing, J., Mortlock, D. J., Rozanov, E. V., Tummon, F., and Haigh, J. D.: Reconciling differences in stratospheric ozone composites, Atmos. Chem. Phys., 17, 12269–12302, https://doi.org/10.5194/acp-17-12269-2017, 2017.
Ball, W. T., Alsing, J., Mortlock, D. J., Staehelin, J., Haigh, J. D., Peter, T., Tummon, F., Stübi, R., Stenke, A., Anderson, J., Bourassa, A., Davis, S. M., Degenstein, D., Frith, S., Froidevaux, L., Roth, C., Sofieva, V., Wang, R., Wild, J., Yu, P., Ziemke, J. R., and Rozanov, E. V.: Evidence for a continuous decline in lower stratospheric ozone offsetting ozone layer recovery, Atmos. Chem. Phys., 18, 1379–1394, https://doi.org/10.5194/acp-18-1379-2018, 2018.
Betancourt, M.: A conceptual introduction to Hamiltonian Monte Carlo, arXiv [preprint], https://doi.org/10.48550/arXiv.1701.02434, 2017.
Björklund, R., Vigouroux, C., Effertz, P., García, O. E., Geddes, A., Hannigan, J., Miyagawa, K., Kotkamp, M., Langerock, B., Nedoluha, G., Ortega, I., Petropavlovskikh, I., Poyraz, D., Querel, R., Robinson, J., Shiona, H., Smale, D., Smale, P., Van Malderen, R., and De Mazière, M.: Intercomparison of long-term ground-based measurements of total, tropospheric, and stratospheric ozone at Lauder, New Zealand, Atmos. Meas. Tech., 17, 6819–6849, https://doi.org/10.5194/amt-17-6819-2024, 2024.
Box, G. E. P. and Tiao, G. C.: A Bayesian approach to some outlier problems, Biometrika, 55, 119–129, https://doi.org/10.1093/biomet/55.1.119, 1968.
Cochrane, D. and Orcutt, G. H.: Application of least squares regression to relationships containing auto-correlated error terms, J. Am. Stat. Assoc., 44, 32–61, https://doi.org/10.1080/01621459.1949.10483290, 1949.
Davis, S. M., Rosenlof, K. H., Hassler, B., Hurst, D. F., Read, W. G., Vömel, H., Selkirk, H., Fujiwara, M., and Damadeo, R.: The Stratospheric Water and Ozone Satellite Homogenized (SWOOSH) database: a long-term database for climate studies, Earth Syst. Sci. Data, 8, 461–490, https://doi.org/10.5194/essd-8-461-2016, 2016.
Dietmüller, S., Garny, H., Eichinger, R., and Ball, W. T.: Analysis of recent lower-stratospheric ozone trends in chemistry climate models, Atmos. Chem. Phys., 21, 6811–6837, https://doi.org/10.5194/acp-21-6811-2021, 2021.
Emili, E., Barret, B., Massart, S., Le Flochmoen, E., Piacentini, A., El Amraoui, L., Pannekoucke, O., and Cariolle, D.: Combined assimilation of IASI and MLS observations to constrain tropospheric and stratospheric ozone in a global chemical transport model, Atmos. Chem. Phys., 14, 177–198, https://doi.org/10.5194/acp-14-177-2014, 2014.
Frith, S. M., Bhartia, P. K., Oman, L. D., Kramarova, N. A., McPeters, R. D., and Labow, G. J.: Model-based climatology of diurnal variability in stratospheric ozone as a data analysis tool, Atmos. Meas. Tech., 13, 2733–2749, https://doi.org/10.5194/amt-13-2733-2020, 2020.
Froidevaux, L., Anderson, J., Wang, H.-J., Fuller, R. A., Schwartz, M. J., Santee, M. L., Livesey, N. J., Pumphrey, H. C., Bernath, P. F., Russell III, J. M., and McCormick, M. P.: Global OZone Chemistry And Related trace gas Data records for the Stratosphere (GOZCARDS): methodology and sample results with a focus on HCl, H2O, and O3, Atmos. Chem. Phys., 15, 10471–10507, https://doi.org/10.5194/acp-15-10471-2015, 2015.
García, O. E., Schneider, M., Redondas, A., González, Y., Hase, F., Blumenstock, T., and Sepúlveda, E.: Investigating the long-term evolution of subtropical ozone profiles resolved by ground-based FTIR spectrometry, Atmos. Chem. Phys., 12, 5137–5151,https://doi.org/10.5194/acp-12-5137-2012, 2012.
Godin-Beekmann, S., Porteneuve, J., and Garnier, A.: Systematic DIAL ozone measurements at Observatoire de Haute-Provence, J. Env. Monitor., 5, 57–67, 2003.
Godin-Beekmann, S., Azouz, N., Sofieva, V. F., Hubert, D., Petropavlovskikh, I., Effertz, P., Ancellet, G., Degenstein, D. A., Zawada, D., Froidevaux, L., Frith, S., Wild, J., Davis, S., Steinbrecht, W., Leblanc, T., Querel, R., Tourpali, K., Damadeo, R., Maillard Barras, E., Stübi, R., Vigouroux, C., Arosio, C., Nedoluha, G., Boyd, I., Van Malderen, R., Mahieu, E., Smale, D., and Sussmann, R.: Updated trends of the stratospheric ozone vertical distribution in the 60° S–60° N latitude range based on the LOTUS regression model, Atmos. Chem. Phys., 22, 11657–11673, https://doi.org/10.5194/acp-22-11657-2022, 2022.
Gordon, I., Rothman, L., Hargreaves, R., Hashemi, R., Karlovets, E., Skinner, F., Conway, E., Hill, C., Kochanov, R., Tan, Y., Wcisło, P., Finenko, A., Nelson, K., Bernath, P., Birk, M., Boudon, V., Campargue, A., Chance, K., Coustenis, A., Drouin, B., Flaud, J., Gamache, R., Hodges, J., Jacquemart, D., Mlawer, E., Nikitin, A., Perevalov, V., Rotger, M., Tennyson, J., Toon, G., Tran, H., Tyuterev, V., Adkins, E., Baker, A., Barbe, A., Canè, E., Császár, A., Dudaryonok, A., Egorov, O., Fleisher, A., Fleurbaey, H., Foltynowicz, A., Furtenbacher, T., Harrison, J., Hartmann, J., Horneman, V., Huang, X., Karman, T., Karns, J., Kassi, S., Kleiner, I., Kofman, V., Kwabia-Tchana, F., Lavrentieva, N., Lee, T., Long, D., Lukashevskaya, A., Lyulin, O., Makhnev, V., Matt, W., Massie, S., Melosso, M., Mikhailenko, S., Mondelain, D., Müller, H., Naumenko, O., Perrin, A., Polyansky, O., Raddaoui, E., Raston, P., Reed, Z., Rey, M., Richard, C., Tóbiás, R., Sadiek, I., Schwenke, D., Starikova, E., Sung, K., Tamassia, F., Tashkun, S., Vander Auwera, J., Vasilenko, I., Vigasin, A., Villanueva, G., Vispoel, B., Wagner, G., Yachmenev, A., and Yurchenko, S.: The HITRAN2020 molecular spectroscopic database, J. Quant. Spectrosc. Ra., 277, 107949, https://doi.org/10.1016/j.jqsrt.2021.107949, 2022.
Hubert, D., Lambert, J.-C., Verhoelst, T., Granville, J., Keppens, A., Baray, J.-L., Bourassa, A. E., Cortesi, U., Degenstein, D. A., Froidevaux, L., Godin-Beekmann, S., Hoppel, K. W., Johnson, B. J., Kyrölä, E., Leblanc, T., Lichtenberg, G., Marchand, M., McElroy, C. T., Murtagh, D., Nakane, H., Portafaix, T., Querel, R., Russell III, J. M., Salvador, J., Smit, H. G. J., Stebel, K., Steinbrecht, W., Strawbridge, K. B., Stübi, R., Swart, D. P. J., Taha, G., Tarasick, D. W., Thompson, A. M., Urban, J., van Gijsel, J. A. E., Van Malderen, R., von der Gathen, P., Walker, K. A., Wolfram, E., and Zawodny, J. M.: Ground-based assessment of the bias and long-term stability of 14 limb and occultation ozone profile data records, Atmos. Meas. Tech., 9, 2497–2534, https://doi.org/10.5194/amt-9-2497-2016, 2016.
Inness, A., Ades, M., Agustí-Panareda, A., Barré, J., Benedictow, A., Blechschmidt, A.-M., Dominguez, J. J., Engelen, R., Eskes, H., Flemming, J., Huijnen, V., Jones, L., Kipling, Z., Massart, S., Parrington, M., Peuch, V.-H., Razinger, M., Remy, S., Schulz, M., and Suttie, M.: The CAMS reanalysis of atmospheric composition, Atmos. Chem. Phys., 19, 3515–3556, https://doi.org/10.5194/acp-19-3515-2019, 2019.
Jonas, C., Vigouroux, C., Langerock, B., Björklund, R., Boynard, A., Carlund, T., De Mazière, M., Effertz, P., Errera, Q., Frey, M. M., Granville, J., Hannigan, J. W., Keppens, A., Jepsen, N., Kivi, R., Lyall, N., Palm, M., Prignon, M., Sofieva, V. F., Strong, K., Svendby, T., Tarasick, D., Thölix, L., Van Malderen, R., Virolainen, Y., von Löwis, S., and Zhao, X.: Detection of ozone recovery in the Arctic from ground-based measurements, Atmos. Chem. Phys., 26, 8089–8124, https://doi.org/10.5194/acp-26-8089-2026, 2026.
Keppens, A., Hubert, D., Granville, J., Nath, O., Lambert, J.-C., Wespes, C., Coheur, P.-F., Clerbaux, C., Boynard, A., Siddans, R., Latter, B., Kerridge, B., Di Pede, S., Veefkind, P., Cuesta, J., Dufour, G., Heue, K.-P., Coldewey-Egbers, M., Loyola, D., Orfanoz-Cheuquelaf, A., Maratt Satheesan, S., Eichmann, K.-U., Rozanov, A., Sofieva, V. F., Ziemke, J. R., Inness, A., Van Malderen, R., and Hoffmann, L.: Harmonisation of sixteen tropospheric ozone satellite data records, Atmos. Meas. Tech., 18, 6893–6916, https://doi.org/10.5194/amt-18-6893-2025, 2025.
Kovilakam, M., Thomason, L., and Knepp, T.: SAGE III/ISS aerosol/cloud categorization and its impact on GloSSAC, Atmos. Meas. Tech., 16, 2709–2731, https://doi.org/10.5194/amt-16-2709-2023, 2023.
Kramarova, N. A., Frith, S. M., Bhartia, P. K., McPeters, R. D., Taylor, S. L., Fisher, B. L., Labow, G. J., and DeLand, M. T.: Validation of ozone monthly zonal mean profiles obtained from the version 8.6 Solar Backscatter Ultraviolet algorithm, Atmos. Chem. Phys., 13, 6887–6905, https://doi.org/10.5194/acp-13-6887-2013, 2013.
Leblanc, T., Sica, R. J., van Gijsel, J. A. E., Godin-Beekmann, S., Haefele, A., Trickl, T., Payen, G., and Gabarrot, F.: Proposed standardized definitions for vertical resolution and uncertainty in the NDACC lidar ozone and temperature algorithms – Part 1: Vertical resolution, Atmos. Meas. Tech., 9, 4029–4049, https://doi.org/10.5194/amt-9-4029-2016, 2016a.
Leblanc, T., Sica, R. J., van Gijsel, J. A. E., Godin-Beekmann, S., Haefele, A., Trickl, T., Payen, G., and Gabarrot, F.: Proposed standardized definitions for vertical resolution and uncertainty in the NDACC lidar ozone and temperature algorithms – Part 2: Ozone DIAL uncertainty budget, Atmos. Meas. Tech., 9, 4051–4078, https://doi.org/10.5194/amt-9-4051-2016, 2016b.
Maillard Barras, E., Haefele, A., Nguyen, L., Tummon, F., Ball, W. T., Rozanov, E. V., Rüfenacht, R., Hocke, K., Bernet, L., Kämpfer, N., Nedoluha, G., and Boyd, I.: Study of the dependence of long-term stratospheric ozone trends on local solar time, Atmos. Chem. Phys., 20, 8453–8471, https://doi.org/10.5194/acp-20-8453-2020, 2020.
Maillard Barras, E., Haefele, A., Stübi, R., Jouberton, A., Schill, H., Petropavlovskikh, I., Miyagawa, K., Stanek, M., and Froidevaux, L.: Dynamical linear modeling estimates of long-term ozone trends from homogenized Dobson Umkehr profiles at Arosa/Davos, Switzerland, Atmos. Chem. Phys., 22, 14283–14302, https://doi.org/10.5194/acp-22-14283-2022, 2022.
McPeters, R. D. and Labow, G. J.: Climatology 2011: An MLS and sonde derived ozone climatology for satellite retrieval algorithms, J. Geophys. Res., 117, D10303, https://doi.org/10.1029/2011JD017006, 2012.
Millán, L. F., Hoor, P., Hegglin, M. I., Manney, G. L., Boenisch, H., Jeffery, P. S., Kunkel, D., Petropavlovskikh, I., Ye, H., Leblanc, T., and Walker, K. A.: Ozone trends in the upper troposphere-lower stratosphere using equivalent latitude-potential temperature coordinates, Geophys. Res. Lett., 52, e2025GL118651, https://doi.org/10.1029/2025GL118651, 2025.
Mirallie, L. and Maillard Barras, E.: Microwave Radiometer ozone monthly mean profiles, Earth System Data Repository [data set], https://doi.org/10.57932/5d03aeb4-afbf-4e4b-8e34-39716222c7c4, 2026.
Mirallie, L. and Van Malderen, R.: Ozonesondes monthly means, Earth System Data Repository [data set], https://doi.org/10.57932/e37548b3-4153-4a4f-8100-1667a34cebfb, 2026.
Mirallie, L. and Jonas, C.: FTIR data monthly means, Earth System Data Repository [data set], https://doi.org/10.57932/05fd9510-360d-4a6d-ad92-7de679333ecb, 2026.
Mirallie, L., Steinbrecht, W., Godin-Beekmann, S., and Leblanc, T.: Lidar data monthly means, Earth System Data Repository [data set], https://doi.org/10.57932/d50c216e-65f5-4baa-b4b6-139ca9cfc0b4, 2026a.
Mirallie, L., Petropavlovskikh, I., and Maillard Barras, E.: Dobson Umkehr monthly means, Earth System Data Repository [data set], https://doi.org/10.57932/2eb1b6de-cfb2-43ba-86d1-c34add0a89bc, 2026b.
Petropavlovskikh, I., Bhartia, P. K., and DeLuisi, J.: New Umkehr ozone profile retrieval algorithm optimized for climatological studies, Geophys. Res. Lett., 32, L16808, https://doi.org/10.1029/2005GL023323, 2005.
Petropavlovskikh, I., Evans, R. D., Carbaugh, G. L., Maillard, E., and Stübi, R.: Towards a better knowledge of Umkehr measurements: A detailed study of data from thirteen Dobson intercomparisons, World Meteorological Organization Global Atmosphere Watch, GAW No. 180, https://library.wmo.int/idurl/4/47514 (last access: 9 July 2026), 2008.
Petropavlovskikh, I., Evans, R., McConville, G., Miyagawa, K., and Oltmans, S.: Effect of the out-of-band stray light on the retrieval of the Umkehr Dobson ozone profiles, Int. J. Remote Sens., 30, 6461–6482, https://doi.org/10.1080/01431160902865806, 2009.
Petropavlovskikh, I., Evans, R., McConville, G., Oltmans, S., Quincy, D., Lantz, K., Disterhoft, P., Stanek, M., and Flynn, L.: Sensitivity of Dobson and Brewer Umkehr ozone profile retrievals to ozone cross-sections and stray light effects, Atmos. Meas. Tech., 4, 1841–1853, https://doi.org/10.5194/amt-4-1841-2011, 2011.
Petropavlovskikh, I., Godin-Beekmann, S., Hubert, D., Damadeo, R., Hassler, B., and Sofieva, V. (Eds.): SPARC/IO3C/GAW Report on Long-term Ozone Trends and Uncertainties in the Stratosphere, GAW Report No. 241, SPARC Report No. 9, WMO, Geneva, https://doi.org/10.17874/f899e15b258, 2019.
Petropavlovskikh, I., Miyagawa, K., McClure-Beegle, A., Johnson, B., Wild, J., Strahan, S., Wargan, K., Querel, R., Flynn, L., Beach, E., Ancellet, G., and Godin-Beekmann, S.: Optimized Umkehr profile algorithm for ozone trend analyses, Atmos. Meas. Tech., 15, 1849–1870, https://doi.org/10.5194/amt-15-1849-2022, 2022.
Petropavlovskikh, I., Wild, J. D., Abromitis, K., Effertz, P., Miyagawa, K., Flynn, L. E., Maillard Barras, E., Damadeo, R., McConville, G., Johnson, B., Cullis, P., Godin-Beekmann, S., Ancellet, G., Querel, R., Van Malderen, R., and Zawada, D.: Ozone trends in homogenized Umkehr, ozonesonde, and COH overpass records, Atmos. Chem. Phys., 25, 2895–2936, https://doi.org/10.5194/acp-25-2895-2025, 2025.
Randel, W. J., Garcia, R. R., Calvo, N., and Marsh, D.: ENSO influence on zonal mean temperature and ozone in the tropical lower stratosphere, Geophys. Res. Lett., 36, L15822, https://doi.org/10.1029/2009GL039343, 2009.
Rodgers, C. D.: Inverse Methods for Atmospheric Sounding – Theory and Practice, vol. 2 of Series on Atmospheric Oceanic and Planetary Physics, World Scientific Publishing Co. Pte. Ltd., Singapore, https://doi.org/10.1142/9789812813718, 2000.
Rigby, M., Park, S., Saito, T., Western, L. M., Redington, A. L., Fang, X., Henne, S., Manning, A. J., Prinn, R. G., Dutton, G. S., Fraser, P. J., Ganesan, A. L., Hall, B. D., Harth, C. M., Kim, J., Kim, K.-R., Krummel, P. B., Lee, T., Li, S., Liang, Q., Lunt, M. F., Montzka, S. A., Mühle, J., O'Doherty, S., Park, M.-K., Reimann, S., Salameh, P. K., Simmonds, P., Tunnicliffe, R. L., Weiss, R. F., Yokouchi, Y., and Young, D.: Increase in CFC-11 emissions from eastern China based on atmospheric observations, Nature, 569, 546–550, https://doi.org/10.1038/s41586-019-1193-4, 2019.
Salawitch, R. J., Smith, J. B., Selkirk, H., Wargan, K., Chipperfield, M. P., Hossaini, R., Levelt, P. F., Livesey, N. J., McBride, L. A., Millán, L. F., Moyer, E., Santee, M. L., Schoeberl, M. R., Solomon, S., Stone, K., and Worden, H. M.: The Imminent Data Desert: The Future of Stratospheric Monitoring in a Rapidly Changing World, B. Am. Meteorol. Soc., 106, E540–E563, https://doi.org/10.1175/BAMS-D-23-0281.1, 2025.
Sauvageat, E., Albers, R., Kotiranta, M., Hocke, K., Gómez, M., Nedoluha, G., and Murk, A.: Comparison of Three High Resolution Real-Time Spectrometers for Microwave Ozone Profiling Instruments, IEEE J. Sel. Top. Appl. Earth Obs., 14, https://doi.org/10.1109/JSTARS.2021.3114446, 2021.
Sauvageat, E., Maillard Barras, E., Hocke, K., Haefele, A., and Murk, A.: Harmonized retrieval of middle atmospheric ozone from two microwave radiometers in Switzerland, Atmos. Meas. Tech., 15, 6395–6417, https://doi.org/10.5194/amt-15-6395-2022, 2022.
Sauvageat, E., Hocke, K., Maillard Barras, E., Hou, S., Errera, Q., Haefele, A., and Murk, A.: Microwave radiometer observations of the ozone diurnal cycle and its short-term variability over Switzerland, Atmos. Chem. Phys., 23, 7321–7345, https://doi.org/10.5194/acp-23-7321-2023, 2023.
Schranz, F., Fernandez, S., Kämpfer, N., and Palm, M.: Diurnal variation in middle-atmospheric ozone observed by ground-based microwave radiometry at Ny-Ålesund over 1 year, Atmos. Chem. Phys., 18, 4113–4130, https://doi.org/10.5194/acp-18-4113-2018, 2018.
Smit, H. G. J. and Thompson, A. M. (Eds.): ASOPOS (Assessment of Standard Operating Procedures for Ozone Sondes) 2.0, GAW Report No. 268, WMO, Geneva, 2021.
Smit, H. G. J., Thompson, A. M., and the ASOPOS 2.0 Panel: Ozonesonde Measurement Principles and Best Operational Practices, WMO Global Atmosphere Watch Report Series, No. 268, World Meteorological Organization, Geneva, https://library.wmo.int/idurl/4/57720 (last access: 19 November 2025), 2021.
Smit, H. G. J., Poyraz, D., Van Malderen, R., Thompson, A. M., Tarasick, D. W., Stauffer, R. M., Johnson, B. J., and Kollonige, D. E.: New insights from the Jülich Ozone Sonde Intercomparison Experiment: calibration functions traceable to one ozone reference instrument, Atmos. Meas. Tech., 17, 73–112, https://doi.org/10.5194/amt-17-73-2024, 2024.
Sofieva, V. F., Szeląg, M., Tamminen, J., Kyrölä, E., Degenstein, D., Roth, C., Zawada, D., Rozanov, A., Arosio, C., Burrows, J. P., Weber, M., Laeng, A., Stiller, G. P., von Clarmann, T., Froidevaux, L., Livesey, N., van Roozendael, M., and Retscher, C.: Measurement report: regional trends of stratospheric ozone evaluated using the MErged GRIdded Dataset of Ozone Profiles (MEGRIDOP), Atmos. Chem. Phys., 21, 6707–6720, https://doi.org/10.5194/acp-21-6707-2021, 2021.
Sofieva, V. F., Szelag, M. E., Kramarova, N. A., Damadeo, R., Steinbrecht, W., Petropavlovskikh, I., Vigouroux, C., Maillard Barras, E., Zawada, D., Tourpali, K., Frith, S. M., Wild, J. D., Davis, S. M., Arosio, C., Weber, M., Rozanov, A., Auffarth, B., Froidevaux, L., Fuller, R., Degenstein, D., Dube, K., Effertz, P., Leblanc, T., Ancellet, G., Godin-Beekmann, S., McConville, G., Querel, R., Smale, D., DeBacker, M.-R., Mahieu, E., and Sussmann, R.: Updated global and regional trends of stratospheric ozone profiles, Atmos. Chem. Phys., 26, 7387–7405, https://doi.org/10.5194/acp-26-7387-2026, 2026.
Stan Development Team: CmdStanPy: A Python interface to CmdStan (Version 1.3.0), https://mc-stan.org/cmdstanpy/ (last access: 15 April 2026), 2024.
Stauffer, R. M., Thompson, A. M., Kollonige, D. E., Witte, J. C., Tarasick, D. W., Davies, J., Vömel, H., Morris, G. A., Van Malderen, R., Johnson, B. J., Querel, R. R., Selkirk, H. B., Stübi, R., and Schmidlin, F. J.: A post-2013 drop-off in total ozone at a third of global ozonesonde stations, Geophys. Res. Lett., 47, e2019GL086791, https://doi.org/10.1029/2019GL086791, 2020.
Stauffer, R. M., Thompson, A. M., Kollonige, D. E., Tarasick, D. W., Van Malderen, R., Smit, H. G., Vömel, H., Morris, G. A., Johnson, B. J., Cullis, P. D., Stübi, R., Davies, J., and Yan, M. M.: An examination of the recent stability of ozonesonde global network data, Earth Space Sci., 9, e2022EA002459, https://doi.org/10.1029/2022EA002459, 2022.
Stübi, R., Schill, H., Klausen, J., Vuilleumier, L., Gröbner, J., Egli, L., and Ruffieux, D.: On the compatibility of Brewer total column ozone measurements in two adjacent valleys (Arosa and Davos) in the Swiss Alps, Atmos. Meas. Tech., 10, 4479–4490, https://doi.org/10.5194/amt-10-4479-2017, 2017.
Szeląg, M. E., Sofieva, V. F., Degenstein, D., Roth, C., Davis, S., and Froidevaux, L.: Seasonal stratospheric ozone trends over 2000–2018 derived from several merged data sets, Atmos. Chem. Phys., 20, 7035–7047, https://doi.org/10.5194/acp-20-7035-2020, 2020.
Thomason, L. W., Ernest, N., Millán, L., Rieger, L., Bourassa, A., Vernier, J.-P., Manney, G., Luo, B., Arfeuille, F., and Peter, T.: A global space-based stratospheric aerosol climatology: 1979–2016, Earth Syst. Sci. Data, 10, 469–492, https://doi.org/10.5194/essd-10-469-2018, 2018.
Thompson, A. M., Stauffer, R. M., Kollonige, D. E., Ziemke, J. R., Johnson, B. J., Morris, G. A., Cullis, P., Cazorla, M., Diaz, J. A., Piters, A., Nedeljkovic, I., Warsodikromo, T., Raimundo Silva, F., Northam, E. T., Benjamin, P., Mkololo, T., Machinini, T., Félix, C., Romanens, G., Nyadida, S., Brioude, J., Evan, S., Metzger, J.-M., Dindang, A., Mahat, Y. B., Sammathuria, M. K., Zakaria, N. B., Komala, N., Ogino, S.-Y., Quyen, N. T., Mani, F. S., Vuiyasawa, M., Nardini, D., Martinsen, M., Kuniyuki, D. T., Müller, K., Wolff, P., and Sauvage, B.: Tropical tropospheric ozone trends (1998 to 2023): new perspectives from SHADOZ, IAGOS and OMI/MLS observations, Atmos. Chem. Phys., 25, 18475–18507, https://doi.org/10.5194/acp-25-18475-2025, 2025.
Van Malderen, R., Thompson, A. M., Kollonige, D. E., Stauffer, R. M., Smit, H. G. J., Maillard Barras, E., Vigouroux, C., Petropavlovskikh, I., Leblanc, T., Thouret, V., Wolff, P., Effertz, P., Tarasick, D. W., Poyraz, D., Ancellet, G., De Backer, M.-R., Evan, S., Flood, V., Frey, M. M., Hannigan, J. W., Hernandez, J. L., Iarlori, M., Johnson, B. J., Jones, N., Kivi, R., Mahieu, E., McConville, G., Müller, K., Nagahama, T., Notholt, J., Piters, A., Prats, N., Querel, R., Smale, D., Steinbrecht, W., Strong, K., and Sussmann, R.: Global ground-based tropospheric ozone measurements: reference data and individual site trends (2000–2022) from the TOAR-II/HEGIFTOM project, Atmos. Chem. Phys., 25, 7187–7225, https://doi.org/10.5194/acp-25-7187-2025, 2025a.
Van Malderen, R., Zang, Z., Chang, K.-L., Björklund, R., Cooper, O. R., Liu, J., Maillard Barras, E., Vigouroux, C., Petropavlovskikh, I., Leblanc, T., Thouret, V., Wolff, P., Effertz, P., Gaudel, A., Tarasick, D. W., Smit, H. G. J., Thompson, A. M., Stauffer, R. M., Kollonige, D. E., Poyraz, D., Ancellet, G., De Backer, M.-R., Frey, M. M., Hannigan, J. W., Hernandez, J. L., Johnson, B. J., Jones, N., Kivi, R., Mahieu, E., Morino, I., McConville, G., Müller, K., Murata, I., Notholt, J., Piters, A., Prignon, M., Querel, R., Rizi, V., Smale, D., Steinbrecht, W., Strong, K., and Sussmann, R.: Ground-based tropospheric ozone measurements: regional tropospheric ozone column trends from the TOAR-II/HEGIFTOM homogenized datasets, Atmos. Chem. Phys., 25, 9905–9935, https://doi.org/10.5194/acp-25-9905-2025, 2025b.
Vehtari, A., Gelman, A., Simpson, D., Carpenter, B., and Bürkner, P.-C.: Rank-Normalization, Folding, and Localization: An Improved R for Assessing Convergence of MCMC (with Discussion), Bayesian Anal., 16, 667–718, https://doi.org/10.1214/20-BA1221, 2021.
Vigouroux, C., Blumenstock, T., Coffey, M., Errera, Q., García, O., Jones, N. B., Hannigan, J. W., Hase, F., Liley, B., Mahieu, E., Mellqvist, J., Notholt, J., Palm, M., Persson, G., Schneider, M., Servais, C., Smale, D., Thölix, L., and De Mazière, M.: Trends of ozone total columns and vertical distribution from FTIR observations at eight NDACC stations around the globe, Atmos. Chem. Phys., 15, 2915–2933, https://doi.org/10.5194/acp-15-2915-2015, 2015.
Wang, J., Chiodo, G., Ayarzagüena, B., Ball, W. T., Diallo, M., Hassler, B., Keeble, J., Nowack, P., Orbe, C., Vattioni, S., and Sukhodolov, T.: Exploring ozone–climate interactions in idealized CMIP6 DECK experiments, Atmos. Chem. Phys., 25, 17819–17844, https://doi.org/10.5194/acp-25-17819-2025, 2025.
Weatherhead, E. C., Bodeker, G. E., Fassò, A., Chang, K.-L., Lazo, J. K., Clack, C. T. M., Hurst, D. F., Hassler, B., English, J. M., and Yorgun, S.: Spatial coverage of monitoring networks: A climate observing system simulation experiment, J. Appl. Meteorol. Clim., 56, 3211–3228, https://doi.org/10.1175/JAMC-D-17-0040.1, 2017.
Wilks, D. S.: Statistical Methods in the Atmospheric Sciences, 4th Edn., Elsevier, ISBN 978-0-12-815823-4, 2019.
WMO (World Meteorological Organization): Scientific Assessment of Ozone Depletion: 2018, Global Ozone Research and Monitoring Project – Report No. 58, WMO, Geneva, Switzerland, https://library.wmo.int/idurl/4/56362 (last access: 9 July 2026), 2018.
WMO (World Meteorological Organization): Scientific Assessment of Ozone Depletion: 2022, GAW Report No. 278, WMO, Geneva, ISBN 978-9914-733-97-6, 2022.
Zeng, G., Querel, R., Shiona, H., Poyraz, D., Van Malderen, R., Geddes, A., Smale, P., Smale, D., Robinson, J., and Morgenstern, O.: Analysis of a newly homogenised ozonesonde dataset from Lauder, New Zealand, Atmos. Chem. Phys., 24, 6413–6432, https://doi.org/10.5194/acp-24-6413-2024, 2024.