Abstract
The quasi-biennial oscillation (QBO) is an important climate phenomenon in the tropical stratosphere with impacts worldwide, and thus reasonably representing the QBO properties, with its vertical propagation considered, is the key to clearly understanding its fundamental effects. This study proposes a new method that the QBO spatio-temporal characteristics can be reasonably captured by the first complex empirical orthogonal function (CEOF) and its derived time series. With this method, alternate variations of the typical barotropic (easterly/westerly wind) and baroclinic (easterly/westerly wind shear) components in the QBO can be adequately reflected by decomposing the QBO downward propagation structure in terms of the CEOF-based diagnostics. The QBO properties (amplitude and downward propagation speed) have a clear phase asymmetry and are larger in the westerly downward propagating phase than the easterly one. They show the largest difference between the two shear phases. These properties also feature a clear seasonality and are larger in boreal spring–summer but smallest in winter, which is much truer for the baroclinic component of the QBO than the barotropic one. Compared to those existing QBO indices, the CEOF-derived index can provide the representative QBO stages, much closer to realistic values, and thus better obtain the stable typical spatial structure of the QBO, contributing to a unified phase division for various QBO stages. In terms of the CEOF-based phase division, the QBO shows a strong modulation on the Arctic Oscillation and Madden–Julian Oscillation activities. This study provides a useful tool for diagnosing the QBO and a beneficial addition to related QBO monitoring and prediction.
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Data availability
ERA5 data during period 1956–1978 and 1979–2020 provided by ECMWF are available through the Copernicus Climate Data Store via https://cds.climate.copernicus.eu/cdsapp#!/dataset/reanalysis-era5-pressure-levels-monthly-means-preliminary-back-extension?tab=overview and https://cds.climate.copernicus.eu/cdsapp#!/dataset/reanalysis-era5-single-levels?tab=overview, interpolated to standard pressure levels and 2.5° × 2.5° horizontal resolution. The zonal wind of radiosonde observation from Free University of Berlin is publicly available via https://www.geo.fu-berlin.de/met/ag/strat/produkte/qbo/qbo.dat. The AO index from Climate Prediction Center is publicly available via https://www.cpc.ncep.noaa.gov/products/precip/CWlink/daily_ao_index/ao.shtml. The MJO amplitude based on RMM index is publicly available via http://www.bom.gov.au/climate/mjo/.
References
Andrews MB, Knight JR, Scaife AA, Lu Y, Wu T, Gray LJ, Schenzinger V (2019) Observed and simulated teleconnections between the stratospheric quasi-biennial oscillation and Northern Hemisphere winter atmospheric circulation. J Geophys Res Atmos 124(3):1219–1232. https://doi.org/10.1029/2018JD029368
Anstey JA, Shepherd TG (2014) High-latitude influence of the quasi-biennial oscillation. Q J R Meteorol Soc 140(678):1–21. https://doi.org/10.1002/qj.2132
Baldwin MP, Gray LJ, Dunkerton TJ, Hamilton K, Haynes PH, Randel WJ et al (2001) The quasi-biennial oscillation. Rev Geophys 39(2):179–229. https://doi.org/10.1029/1999RG000073
Baldwin MP, Ayarzagüena B, Birner T, Butchart N, Charlton-Perez AJ, Domeisen DIV et al (2020) Sudden stratospheric warmings. Rev Geophys 59:e2020RG000708. https://doi.org/10.1029/2020RG000708
Barnett TP (1983) Interaction of the monsoon and pacific trade wind system at interannual time scales Part I: the equatorial zone. Mon Weather Rev 111(4):756–773. https://doi.org/10.1175/1520-0493(1983)111%3c0756:IOTMAP%3e2.0.CO;2
Barton CA, McCormack JP (2017) Origin of the 2016 QBO disruption and its relationship to extreme El Niño events. Geophys Res Lett 44(21):11150–11157. https://doi.org/10.1002/2017GL075576
Bell B, Hersbach H, Berrisford P, Dahlgren P, Horányi A, Muñoz Sabater J et al (2020) ERA5 monthly averaged data on pressure levels from 1950 to 1978 (preliminary version), Copernicus Climate Change Service (C3S) Climate Data Store (CDS). Last accessed on 24–04–2022, https://cds.climate.copernicus-climate.eu/cdsapp#!/dataset/reanalysis-era5-pressure-levels-monthly-means-preliminary-back-extension?tab=overview
Boucharel J, Jin FF, England MH, Dewitte B, Lin II, Huang HC, Balmaseda MA (2016) Influence of oceanic intraseasonal kelvin waves on eastern pacific hurricane activity. J Clim 29(22):7941–7955. https://doi.org/10.1175/JCLI-D-16-0112.1
Bouzinac C, Vazquez J, Font J (1998) Complex empirical orthogonal functions analysis of ERS-1 and TOPEX/POSEIDON combined altimetric data in the region of the Algerian current. J Geophys Res Oceans 103(C4):8059–8071. https://doi.org/10.1029/97JC02909
Butchart N, Anstey JA, Kawatani Y, Osprey SM, Richter JH, Wu T (2020) QBO changes in CMIP6 climate projections. Geophys Res Lett 47(7):e2019GL086903. https://doi.org/10.1029/2019GL086903
Chen W, Li T (2007) Modulation of northern hemisphere wintertime stationary planetary wave activity: East Asian climate relationships by the Quasi-Biennial Oscillation. J Geophys Res Atmos 112:D20120. https://doi.org/10.1029/2007jd008611
Chen W, Wei K (2009) Interannual variability of the winter stratospheric polar vortex in the Northern Hemisphere and their relations to QBO and ENSO. Adv Atmos Sci 26:855–863. https://doi.org/10.1007/s00376-009-8168-6
Chen W, Yang L, Huang R, Qiu Q (2004) Diagnostic analysis of the impact of tropical QBO on the general circulation in the Northern Hemisphere Winter. Chin J Atmos Sci (in Chinese) 28(2):161–173. https://doi.org/10.3878/j.issn.1006-9895.2004.02.01
Chipperfield MP, Gray LJ, Kinnersley JS, Zawodny J (1994) A two-dimensional model study of the QBO signal in SAGE II NO2 and O3. Geophys Res Lett 21(7):589–592. https://doi.org/10.1029/94GL00211
Choi W, Lee H, Grant WB, Park JH, Holton JR, Lee K et al (2002) On the secondary meridional circulation associated with the quasi-biennial oscillation. Tellus B 54(4):395–406. https://doi.org/10.3402/tellusb.v54i4.16673
Christiansen B, Yang S, Madsen MS (2016) Do strong warm ENSO events control the phase of the stratospheric QBO? Geophys Rese Lett 43(19):10489–10495. https://doi.org/10.1002/2016GL070751
Collimore CC, Martin DW, Hitchman MH, Huesmann A, Waliser DE (2003) On the relationship between the QBO and Tropical deep convection. J Clim 16(15):2552–2568. https://doi.org/10.1175/1520-0442(2003)016%3c2552:OTRBTQ%3e2.0.CO;2
Coy L, Newman PA, Pawson S, Lait LR (2017) Dynamics of the disrupted 2015/16 quasi-biennial oscillation. J Clim 30(15):5661–5674. https://doi.org/10.1175/JCLI-D-16-0663.1
DallaSanta K, Orbe C, Rind D, Nazarenko L, Jonas J (2021) Dynamical and trace gas responses of the quasi-biennial oscillation to increased CO2. J Geophys Res Atmos 126(6):e2020JD034151. https://doi.org/10.1029/2020JD034151
Dominguez F, Kumar P (2005) Dominant modes of moisture flux anomalies over North America. J Hydrometeorol 6(2):194–209. https://doi.org/10.1175/JHM417.1
Dommenget D, Latif M (2002) A cautionary note on the interpretation of EOFs. J Clim 15(2):216–225. https://doi.org/10.1175/1520-0442(2002)015%3c0216:ACNOTI%3e2.0.CO;2
Dunkerton TJ, Baldwin MP (1991) Quasi-biennial modulation of planetary-wave fluxes in the Northern Hemisphere Winter. J Atmos Sci 48(8):1043–1061. https://doi.org/10.1175/1520-0469(1991)048%3c1043:QBMOPW%3e2.0.CO;2
Dunkerton TJ, Delisi DP, Baldwin MP (1988) Distribution of major stratospheric warmings in relation to the quasi-biennial oscillation. Geophys Res Lett 15(2):136–139. https://doi.org/10.1029/GL015i002p00136
Folland CK, Scaife AA, Lindesay J, Stevenson DB (2012) How potentially predictable is northern European winter climate a season ahead? Int J Climatol 32(6):801–818. https://doi.org/10.1002/joc.2314
Fraedrich K, Pawson S, Wang R (1993) An EOF analysis of the vertical-time delay structure of the Quasi-Biennial Oscillation. J Atmos Sci 50(20):3357–3365. https://doi.org/10.1175/1520-0469(1993)050%3c3357:AEAOTV%3e2.0.CO;2
Garfinkel CI, Hartmann DL (2007) Effects of the El Niño-Southern Oscillation and the quasi-biennial oscillation on polar temperatures in the stratosphere. J Geophys Res Atmos 112:D19112. https://doi.org/10.1029/2007JD008481
Garfinkel CI, Shaw TA, Hartmann DL, Waugh DW (2012) Does the Holton-Tan mechanism explain how the Quasi-Biennial oscillation modulates the arctic polar vortex? J Atmos Sci 69(5):1713–1733. https://doi.org/10.1175/JAS-D-11-0209.1
Gelbrecht M, Boers N, Kurths J (2018) Phase coherence between precipitation in South America and Rossby waves. Sci Adv 4(12):eaau3191. https://doi.org/10.1126/sciadv.aau3191
Gray WM, Sheaffer JD, Knaff JA (1992) Hypothesized mechanism for stratospheric QBO influence on ENSO variability. Geophys Res Lett 19(2):107–110. https://doi.org/10.1029/91GL02950
Gray LJ, Anstey JA, Kawatani Y, Lu H, Osprey SM, Schenzinger V (2018) Surface impacts of the Quasi Biennial Oscillation. Atmos Chem Phys 18:8227–8247. https://doi.org/10.5194/acp-18-8227-2018
Han PC, Jian MQ (2016) Interdecadal variability of quasi-biennial oscillation of stratospheric zonal wind. J Trop Meteor (in Chinese) 32(4):458–466. https://doi.org/10.16032/j.issn.1004-4965.2016.04.003
Hannachi A, Jolliffe IT, Stephenson DB (2010) Empirical orthogonal functions and related techniques in atmospheric science: a review. Int J Climatol 27(9):1119–1152. https://doi.org/10.1002/joc.1499
Hendon HH, Abhik S (2018) Differences in vertical structure of the Madden–Julian oscillation associated with the quasi-biennial oscillation. Geophys Res Lett 45(9):4419–4428. https://doi.org/10.1029/2018GL077207
Hersbach H, Bell B, Berrisford P, Biavati G, Horányi A, Muñoz Sabater J et al (2019) ERA5 hourly data on single levels from 1959 to present. Copernicus Climate Change Service (C3S) Climate Data Store (CDS). https://doi.org/10.24381/cds.6860a573. Accessed 24 Apr 2022
Higgins RW, Leetmaa A, Xue Y, Barnston A (2000) Dominant factors influencing the seasonal predictability of U.S. precipitation and surface air temperature. J Clim 13(22):3994–4017. https://doi.org/10.1175/1520-0442(2000)013%3c3994:DFITSP%3e2.0.CO;2
Higgins RW, Leetmaa A, Kousky VE (2002) Relationships between climate variability and winter temperature extremes in the United States. J Clim 15(3):1555–1572. https://doi.org/10.1175/1520-0442(2002)015%3c1555:RBCVAW%3e2.0.CO;2
Hirota N, Shiogama H, Akiyoshi H, Ogura T, Takahashi M, Kawatani Y, Kimoto M, Mori M (2018) The influences of El Nino and Arctic sea-ice on the QBO disruption in February 2016. Npj Clim Atmos Sci 1:10. https://doi.org/10.1038/s41612-018-0020-1
Holton JR, Tan HC (1980) The influence of the equatorial quasi-biennial oscillation on the global circulation at 50mb. J Atmos Sci 37(10):2200–2208. https://doi.org/10.1175/1520-0469(1980)037%3c2200:TIOTEQ%3e2.0.CO;2
Holton JR, Tan HC (1982) The quasi–biennial oscillation in the Northern Hemisphere lower stratosphere. J Meteor Soc Jpn 60(1):140–148. https://doi.org/10.2151/jmsj1965.60.1_140
Hsieh WW, Hamilton K (2003) Nonlinear singular spectrum analysis of the tropical stratospheric wind. Q J R Meteorol Soc 129(592):2367–2382. https://doi.org/10.1256/qj.01.158
Jolliffe IT, Trendafilov NT, Uddin M (2003) A Modified principal component technique based on the LASSO. J Comput Graph Stat 12(3):531–547. https://doi.org/10.1198/1061860032148
Kawatani Y, Hamilton K (2013) Weakened stratospheric quasibiennial oscillation driven by increased tropical mean upwelling. Nature 497:478–481. https://doi.org/10.1038/nature12140
Kawatani Y, Sato K, Dunkerton TJ, Watanabe S, Miyahara S, Takahashi M (2010) The roles of equatorial trapped waves and internal inertia-gravity waves in driving the quasi-biennial oscillation. Part I: Zonal mean wave forcing. J Atmos Sci 67(4):963–980. https://doi.org/10.1175/2009JAS3222.1
Kawatani Y, Hamilton K, Sato K, Dunkerton TJ, Watanabe S, Kikuchi K (2019) ENSO Modulation of the QBO: Results from MIROC Models with and without Nonorographic Gravity Wave Parameterization. J Atmos Sci 76(12):3893–3917. https://doi.org/10.1175/JAS-D-19-0163.1
Kuai L, Shia RL, Jiang X, Tung KK, Yung YL (2009) Modulation of the period of the quasi-biennial oscillation by the solar cycle. J Atmos Sci 66(8):2418–2428. https://doi.org/10.1175/2009JAS2958.1
Kuma KI (1990) A quasi-biennial oscillation in the intensity of the intra-seasonal oscillation. Int J Climatol 10(3):263–278. https://doi.org/10.1002/joc.3370100304
Liebmann B, Hendon HH, Glik JD (1994) The relationship between tropical cyclones of the western Pacific and Indian oceans and the Madden–Julian Oscillation. J Meteorol Soc Jpn Ser II 72(3):401–412. https://doi.org/10.2151/jmsj1965.72.3_401
Lim Y, Son SW, Marshall AG, Hendon HH, Seo KH (2019) Influence of the QBO on MJO prediction skill in the subseasonal-to-seasonal prediction models. Clim Dyn 53:1681–1695. https://doi.org/10.1007/s00382-019-04719-y
Madden RA, Julian PR (1994) Observations of the 40–50-day tropical oscillation—a review. Mon Weather Rev 122:814–837. https://doi.org/10.1175/1520-0493(1994)122%3c0814:OOTDTO%3e2.0.CO;2
Marshall AG, Hendon HH, Son SW, Lim Y (2017) Impact of the quasi-biennial oscillation on predictability of the Madden–Julian oscillation. Clim Dyn 49:1365–1377. https://doi.org/10.1007/s00382-016-3392-0
Martin Z, Wang S, Nie J, Sobel A (2019) The impact of the QBO on MJO convection in cloud-resolving simulations. J Atmos Sci 76:669–688. https://doi.org/10.1175/JAS-D-18-0179.1
Martin Z, Son SW, Butler AH, Hendon H, Kim H, Sobel A et al (2021) The influence of the quasi-biennial oscillation on the Madden–Julian oscillation. Nat Rev Earth Environ 2:477–489. https://doi.org/10.1038/s43017-021-00173-9
Matthes K, Kodera K, Garcia RR, Kuroda Y, Marsh DR, Labitzke K (2013) The importance of time-varying forcing for QBO modulation of the atmospheric 11 year solar cycle signal. J Geophys Res Atmos 118(10):4435–4447. https://doi.org/10.1002/jgrd.50424
Naujokat B (1986) An update of the observed quasi-biennial oscillation of the stratospheric zonal wind over the tropics. J Atmos Sci 43(17):1873–1877. https://doi.org/10.1175/1520-0469(1986)043%3c1873:AUOTOQ%3e2.0.CO;2
Newman PA, Coy L, Pawson S, Lait LR (2016) The anomalous change in the QBO in 2015–2016. Geophys Res Lett 43(16):8791–8797. https://doi.org/10.1002/2016gl070373
Nishimoto E, Yoden S (2017) Influence of the stratospheric quasi-biennial oscillation on the Madden–Julian oscillation during austral summer. J Atmos Sci 74(4):1105–1125. https://doi.org/10.1175/JAS-D-16-0205.1
Osprey SM, Butchart N, Knight JR, Scaife AA, Hamilton K, Anstey JA, Schenzinger V, Zhang C (2016) An unexpected disruption of the atmospheric quasi-biennial oscillation. Science 353(6306):1424–1427. https://doi.org/10.1126/science.aah4156
Pahlavan HA, Fu Q, Wallace JM, Kiladis GN (2021a) Revisiting the quasi-biennial oscillation as seen in ERA5. Part I: description and momentum budget. J Atmos Sci 78(3):673–691. https://doi.org/10.1175/JAS-D-20-0248.1
Pahlavan HA, Fu Q, Wallace JM, Kiladis GN (2021b) Revisiting the quasi biennial oscillation as seen in ERA5. Part II: evaluation of waves and wave forcing. J Atmos Sci 78(3):693–707. https://doi.org/10.1175/JAS-D-20-0249.1
Pawson S, Fiorino M (1998) A comparison of reanalyses in the tropical stratosphere. Part 2: the quasi-biennial oscillation. Clim Dyn 14(9):645–658. https://doi.org/10.1007/s003820050247
Randel WJ, Cobb JB (1994) Coherent variations of monthly mean total ozone and lower stratospheric temperature. J Geophys Res 99(D3):5433–5477. https://doi.org/10.1029/93JD03454
Rao J, Garfinkel CI, White IP (2020a) Projected strengthening of the extratropical surface impacts of the stratospheric quasi-biennial oscillation. Geophys Res Lett 47(20):e2020GL089149. https://doi.org/10.1029/2020GL089149
Rao J, Garfinkel CI, White IP (2020b) Impact of quasi-biennial oscillation on the northern winter stratospheric polar vortex in CMIP5/6 models. J Clim 33(11):4787–4813. https://doi.org/10.1175/JCLI-D-19-0663.1
Richter JH, Solomon A, Bacmeister JT (2014) On the simulation of the quasi-biennial oscillation in the community atmosphere model, version 5. J Geophys Res Atmos 119(6):3045–3062. https://doi.org/10.1002/2013JD021122
Richter JH, Butchart N, Kawatani Y, Bushell AC, Holt L, Serva F et al (2022) Response of the quasi-biennial oscillation to a warming climate in global climate models. Q J R Meteor Soc 148(744):1490–1518. https://doi.org/10.1002/qj.3749
Salby M, Callaghan P (2000) Connection between the solar cycle and the QBO: the missing link. J Clim 13(14):2652–2662. https://doi.org/10.1175/1520-0442(1999)012%3c2652:CBTSCA%3e2.0.CO;2
Scaife AA, Athanassiadou M, Andrews M, Arribas A, Baldwin M, Dunstone N et al (2014) Predictability of the quasi-biennial oscillation and its northern winter teleconnection on seasonal to decadal timescales. Geophys Res Lett 41(5):1752–1758. https://doi.org/10.1002/2013GL059160
Solomon A, Richter JH, Bacmeister JY (2014) An objective analysis of the QBO in ERA-interim and the community atmosphere model, version 5. Geophys Res Lett 41(22):7791–7798. https://doi.org/10.1002/2014GL061801
Son SW, Lim Y, Yoo C, Hendon HH, Kim J (2017) stratospheric control of the Madden–Julian oscillation. J Clim 30(6):1909–1922. https://doi.org/10.1175/JCLI-D-16-0620.1
Stein K, Timmermann A, Schneider N (2011) Phase synchronization of the El Niño–Southern Oscillation with the annual cycle. Phys Rev Lett 107:128501. https://doi.org/10.1103/PhysRevLett.107.128501
Stein K, Timmermann A, Schneider N, Jin FF, Stuecker MF (2014) ENSO seasonal synchronization. Theory J Clim 27(14):5285–5310. https://doi.org/10.1175/JCLI-D-13-00525.1
Stockdale TN, Kim YH, Anstey JA, Palmeiro FM, Butchart N, Scaife AA et al (2022) Prediction of the quasi-biennial oscillation with a multi-model ensemble of QBO-resolving models. Q J R Meteorol Soc 148(744):1519–1540. https://doi.org/10.1002/qj.3919
Taguchi M (2010) Observed connection of the stratospheric quasi-biennial oscillation with El Niño–Southern Oscillation in radiosonde data. J Geophys Res Atmos 115:D18120. https://doi.org/10.1029/2010jd014325
Thompson DWJ, Baldwin MP, Wallace JM (2002) Stratospheric connection to Northern Hemisphere wintertime weather: Implications for prediction. J Clim 15(12):1421–1428. https://doi.org/10.1175/1520-0442(2002)015%3c1421:SCTNHW%3e2.0.CO;2
Tweedy OV, Kramarova NA, Strahan SE, Newman PA, Coy L, Randel WJ, Park M et al (2017) Response of trace gases to the disrupted 2015–2016 quasi-biennial oscillation. Atmos Chem Phys 17:6813–6823. https://doi.org/10.5194/acp-17-6813-2017
Wallace JM, Panetta RL, Estberg J (1993) Representation of the equatorial stratospheric quasi-biennial oscillation in EOF phase space. J Atmos Sci 50(12):1751–1762. https://doi.org/10.1175/1520-0469(1993)050%3c1751:ROTESQ%3e2.0.CO;2
Wheeler MC, Hendon HH (2004) An all-season real-time multivariate MJO index: development of an index for monitoring and prediction. Mon Weather Rev 132(8):1917–1932. https://doi.org/10.1175/1520-0493(2004)132%3c1917:AARMMI%3e2.0.CO;2
Wu HB, Yu J (2000) Study on Quasi-biennial variability in lower stratosphere. J Nanjing Inst Meteorol (in Chinese) 23:305–312. https://doi.org/10.13878/j.cnki.dqkxxb.2000.03.001
Xie F, Li J, Tian W, Feng J, Huo Y (2012) Signals of El Niño Modoki in the tropical tropopause layer and stratosphere. Atmos Chem Phys 12:5259–5273. https://doi.org/10.5194/acp-12-5259-2012
Yoo C, Son SW (2016) Modulation of the boreal wintertime Madden–Julian oscillation by the stratospheric quasi-biennial oscillation. Geophys Res Lett 43(3):1392–1398. https://doi.org/10.1002/2016GL067762
Zhang CD (2005) Madden–Julian Oscillation. Rev Geophys 43(2):2003. https://doi.org/10.1029/2004rg000158
Zhang CD (2013) Madden–Julian oscillation: bridging weather and climate. Bull Am Meteorol Soc 94(12):1849–1870. https://doi.org/10.1175/BAMS-D-12-00026.1
Acknowledgements
We are grateful to the two anonymous reviewers whose comments and suggestions have greatly improved the manuscript and thankful to ECMWF, Climate Prediction Center, Free University of Berlin, and Australian Bureau of Meteorology for providing the data.
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This study was jointly supported by the National Natural Science Foundation of China (Grant No. U2242206), the National Key Research and Development Program on monitoring, Early Warning and Prevention of Major Natural Disaster (Grant No. 2018YFC1506000) and the Basic Research and Operational Special Project of CAMS (Grant No. 2021Z007).
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The material and datasets were prepared by WX. The study was conceived and designed by HLR and WX. The first draft of the manuscript was written by WX, and HLR reviewed and commented on the various previous versions of the manuscript.
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Xu, W., Ren, HL. A CEOF-based method for measuring amplitude and phase properties of the QBO. Clim Dyn 61, 923–937 (2023). https://doi.org/10.1007/s00382-022-06625-2
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DOI: https://doi.org/10.1007/s00382-022-06625-2