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Role of cloud radiative feedback in the Madden–Julian oscillation dynamics: a trio-interaction model analysis

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Abstract

The authors expand the original wave dynamic-moisture (WM) model by implementing the cloud radiative feedback (CRF) to study the role of the CRF in the Madden–Julian oscillation (MJO) in comparison with the role of the planetary boundary layer (PBL) process. The linear instability analysis is used to elucidate the reactions of the WM mode, WM-CRF mode, WM-PBL mode, and WM-PBL-CRF mode. Compared with the stationary and damped WM mode, the CRF can present an important instability source for all wavenumbers without the planetary-scale selection and tends to slow down the planetary-scale eastward propagation. On the other hand, the PBL process, with the planetary-scale selection, can destabilize the eastward propagation while accelerate the eastward propagation of the planetary-scale oscillation. When the PBL and the CRF processes are both included, the unstable mode is achieved and period is nearly 20–90 days, consistent with the observations. Both the WM and the WM-CRF modes present unrealistic coupled Kelvin–Rossby wave structure, which disagrees with the observations. These caveats can be remitted in the WM-PBL mode and the WM-PBL-CRF mode. The PBL can couple the Kelvin and Rossby waves and present the observed geopotential low in front of the convective center. The CRF, however, can make the phase relation between the precipitation anomalies and pressure anomalies changed in the presence of PBL process.

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References

  • Adames ÁF, Kim D (2016) The MJO as a dispersive, convectively coupled moisture wave: theory and observations. J Atmos Sci 73:913–941

    Google Scholar 

  • Adames ÁF, Wallace JM (2014) Three-dimensional structure and evolution of the vertical velocity and divergence fields in the MJO. J Atmos Sci 71:4661–4681

    Google Scholar 

  • Andersen JA, Kuang Z (2012) Moist static energy budget of MJO-like disturbances in the atmosphere of a zonally symmetric aquaplanet. J Clim 25:2782–2804

    Google Scholar 

  • Betts A (1986) A new convective adjustment scheme. Part I: observational and theoretical basis. Q J Roy Meteor Soc 112:677–691

    Google Scholar 

  • Betts A, Miller M (1986) A new convective adjustment scheme. Part II: single column tests using GATE wave, BOMEX, ATEX and arctic air-mass data sets. Q J Roy Meteor Soc 112:693–709

    Google Scholar 

  • Bony S, Emanuel KA (2005) On the role of moist processes in tropical intraseasonal variability: cloud–radiation and moisture–convection feedbacks. J Atmos Sci 62:2770–2789

    Google Scholar 

  • Bretherton CS, Sobel AH (2002) A Simple model of a convectively coupled walker circulation using the weak temperature gradient approximation. J Clim 15:2907–2920

    Google Scholar 

  • Bretherton CS, Peters ME, Back LE (2004) Relationships between water vapor path and precipitation over the tropical oceans. J Clim 17:1517–1528

    Google Scholar 

  • Chen G, Wang B (2018) Dynamic moisture mode versus moisture mode in MJO dynamics: importance of the wave feedback and boundary layer convergence feedback. Clim Dyn 52:5127–5143

    Google Scholar 

  • Crueger T, Stevens B (2015) The effect of atmospheric radiative heating by clouds on the Madden–Julian Oscillation. J Adv Model Earth Syst 7:854–864

    Google Scholar 

  • Frierson DM, Majda AJ, Pauluis OM (2004) Large scale dynamics of precipitation fronts in the tropical atmosphere: a novel relaxation limit. Commun Math Sci 2:591–626

    Google Scholar 

  • Fuchs Ž, Raymond DJ (2005) Large-scale modes in a rotating atmosphere with radiative-convective instability and WISHE. J Atmos Sci 62:4084–4094

    Google Scholar 

  • Gill AE (1980) Some simple solutions for heat-induced tropical circulation. Q J Roy Meteor Soc 2:591–626

    Google Scholar 

  • Hayashi Y, Golder DG (1986) Tropical intraseasonal oscillation appearing in the GFDL general circulation model and FGGE data. Part I: phase propagation J Atmos Sci 43:3058–3067

    Google Scholar 

  • Hendon HH, Liebmann B (1990) The intraseasonal (30–50 day) oscillation of the Australian summer monsoon. J Atmos Sci 47:2909–2923

    Google Scholar 

  • Hendon HH, Salby ML (1994) The life cycle of the Madden–Julian oscillation. J Atmos Sci 51:2225–2237

    Google Scholar 

  • Hu Q, Randall DA (1995) Low-frequency oscillations in radiative-convective systems. Part II: An idealized model J Atmos Sci 52:478–490

    Google Scholar 

  • Jiang X, Waliser DE, Xavier PK, Petch J, Klingaman NP, Woolnough SJ, Guan B, Bellon G, Crueger T, DeMott C, Hannay C, Lin H, Hu W, Kim D, Lappen CL, Lu MM, Ma HY, Miyakawa T, Ridout JA, Schubert SD, Scinocca J, Seo KH, Shindo E, Song X, Stan C, Tseng WL, Wang W, Wu T, Wu X, Wyser K, Zhang GJ, Zhu H (2015) Vertical structure and physical processes of the Madden-Julian oscillation: exploring key model physics in climate simulations. J Geophys Res Atmos 120:4718–4748

    Google Scholar 

  • Jones C, Weare BC (1996) The role of low-level moisture convergence and ocean latent heat flux in the Madden–Julian Oscillation: an observational analysis using ISCCP data and ECMWF analyses. J Clim 9:3086–3104

    Google Scholar 

  • Kim D, Ahn MS, Kang IS, del Genio AD (2015) Role of longwave cloud–radiation feedback in the simulation of the Madden–Julian Oscillation. J Clim 28:6979–6994

    Google Scholar 

  • Li C, Long Z, Zhang Q (2001) Strong/weak summer monsoon activity over the South China Sea and atmospheric intraseasonal oscillation. Adv Atmos Sci 18:1146–1160

    Google Scholar 

  • Liu F, Wang B (2012) A frictional skeleton model for the Madden–Julian oscillation. J Atmos Sci 69:2749–2758

    Google Scholar 

  • Liu F, Wang B (2016) Role of horizontal advection of seasonal-mean moisture in the Madden–Julian Oscillation: a theoretical model analysis. J Clim 29:6277–6293

    Google Scholar 

  • Liu F, Wang B (2017) Effects of moisture feedback in a frictional coupled Kelvin–Rossby wave model and implication in the Madden–Julian oscillation dynamics. Clim Dyn 48:513–522

    Google Scholar 

  • Madden R, Julian P (1971) Detection of a 40–50 day oscillation in the zonal wind in the tropical Pacific. J Atmos Sci 28:702–708

    Google Scholar 

  • Madden R, Julian P (1972) Description of global-scale circulation cells in the tropics with a 40–50 day period. J Atmos Sci 29:1109–1123

    Google Scholar 

  • Majda AJ, Biello JA (2004) A multiscale model for tropical intraseasonal oscillations. Proc Natl Acad Sci U S A 101:4736–4741

    Google Scholar 

  • Majda AJ, Stechmann SN (2009) The skeleton of tropical intraseasonal oscillations. Proc Natl Acad Sci U S A 106:8417–8422

    Google Scholar 

  • Myers DS, Waliser DE (2003) Three-dimensional water vapor and cloud variations associated with the Madden-Julian Oscillation during Northern Hemisphere winter. J Clim 16:929–950

    Google Scholar 

  • Neelin JD, Yu JY (1994) Modes of tropical variability under convective adjustment and the Madden–Julian oscillation. Part I: analytical theory J Atmos Sci 51:1876–1894

    Google Scholar 

  • Sobel AH, Maloney ED (2000) Effect of ENSO and the MJO on Western North Pacific tropical cyclones. Geophys Res Lett 27:1739–1742

    Google Scholar 

  • Sobel AH, Maloney ED (2012) An idealized semi-empirical framework for modeling the Madden-Julian oscillation. J Atoms Sci 69:1691–1705

    Google Scholar 

  • Vitart F, Molteni F (2010) Simulation of the Madden–Julian oscillation and its teleconnections in the ECMWF forecast system. Q J Roy Meteor Soc 136:842–855

    Google Scholar 

  • Wang B (1988) Dynamics of tropical low-frequency waves: an analysis of the moist Kelvin wave. J Atmos Sci 45:2051–2065

    Google Scholar 

  • Wang B, Li T (1994) Convective interaction with boundary-layer dynamics in the development of a tropical intraseasonal system. J Atmos Sci 51:1386–1400

    Google Scholar 

  • Wang B, Rui H (1990) Dynamics of the coupled moist Kelvin–Rossby wave on an equatorial b-plane. J Atmos Sci 47:397–413

    Google Scholar 

  • Wang S, Sobel AH, Kuang Z (2013) Cloud-resolving simulation of TOGA-COARE using parameterized large-scale dynamics. J Geophys Res Atmos 118:6290–6301

    Google Scholar 

  • Wang B, Liu F, Chen G (2016) A trio-interaction theory for Madden–Julian oscillation. Geosci Lett 3:34

    Google Scholar 

  • Yang D, Ingersoll AP (2013) Triggered convection, gravity waves, and the MJO: a shallow-water model. J Atmos Sci 70:2476–2486

    Google Scholar 

  • Zhang C (2005) Madden-Julian Oscillation. Rev Geophys 43:1–36

    Google Scholar 

  • Zhang C, Dong M, Gualdi S, Hendon HH, Maloney ED, Marshall A, Sperber KR, Wang W (2006) Simulations of the Madden-Julian oscillation in four pairs of coupled and uncoupled global models. Clim Dyn 27:573–592

    Google Scholar 

  • Zhang C, Adames ÁF, Khouider B, Wang B, Yang D (2020) Four theories of the Madden-Julian oscillation. Rev Geophys 58:e2019RG000685. https://doi.org/10.1029/2019RG000685

    Article  Google Scholar 

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On behalf of all authors, the corresponding authors states that all data and materials as well as software application support their published claims and comply with field standards.

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Funding

This research was jointly funded by the Guangdong Major Project of Basic and Applied Basic Research (Grant No. 2020B0301030004), the Second Tibetan Plateau Scientific Expedition and Research (STEP) program (Grant No. 2019QZKK0102), National Natural Science Foundation of China (Grant Nos. 41975107, 91937302, and 41790475), and the Ministry of Science and Technology of China (Grant Nos. 2019YFC1509100 and 2016YFA0601801).

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Can Cao did the model runs and data analysis and prepared the manuscript. Fei Liu designed the experiments and did the data analysis and contributed to manuscript preparation. Zhiwei Wu assisted in manuscript preparation.

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Correspondence to Fei Liu.

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Cao, C., Liu, F. & Wu, Z. Role of cloud radiative feedback in the Madden–Julian oscillation dynamics: a trio-interaction model analysis. Theor Appl Climatol 145, 489–499 (2021). https://doi.org/10.1007/s00704-021-03641-w

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  • DOI: https://doi.org/10.1007/s00704-021-03641-w

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