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Extraction and prediction of indices for monsoon intraseasonal oscillations: an approach based on nonlinear Laplacian spectral analysis

Climate Dynamics volume 49, pages 3031–3050 (2017)Cite this article

Abstract

An improved index for real-time monitoring and forecast verification of monsoon intraseasonal oscillations (MISOs) is introduced using the recently developed nonlinear Laplacian spectral analysis (NLSA) technique. Using NLSA, a hierarchy of Laplace–Beltrami (LB) eigenfunctions are extracted from unfiltered daily rainfall data from the Global Precipitation Climatology Project over the south Asian monsoon region. Two modes representing the full life cycle of the northeastward-propagating boreal summer MISO are identified from the hierarchy of LB eigenfunctions. These modes have a number of advantages over MISO modes extracted via extended empirical orthogonal function analysis including higher memory and predictability, stronger amplitude and higher fractional explained variance over the western Pacific, Western Ghats, and adjoining Arabian Sea regions, and more realistic representation of the regional heat sources over the Indian and Pacific Oceans. Real-time prediction of NLSA-derived MISO indices is demonstrated via extended-range hindcasts based on NCEP Coupled Forecast System version 2 operational output. It is shown that in these hindcasts the NLSA MISO indices remain predictable out to \(\sim\)3 weeks.

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References

  • Abhilash S, Sahai AK, Pattnaik S, Goswami BN, Kumar A (2013) Extended range prediction of active-break spells of Indian summer monsoon rainfall using an ensemble prediction system in NCEP Climate Forecast System. Int J Climatol. doi:10.1002/joc.3668

    Google Scholar 

  • Abhilash S, Sahai A, Borah N, Chattopadhyay R, Joseph S, Sharmila S, De S, Goswami B, Kumar A (2014) Prediction and monitoring of monsoon intraseasonal oscillations over Indian monsoon region in an ensemble prediction system using CFSv2. Clim Dynam 42(9–10):2801–2815. doi:10.1007/s00382-013-2045-9

    Article  Google Scholar 

  • Ajayamohan RS, Goswami BN (2003) Potential predictability of the Asian summer monsoon on monthly and seasonal time scales. Meteorol Atmos Phys 84:83–100. doi:10.1007/s00703-002-0576-4

    Article  Google Scholar 

  • Ajayamohan RS, Annamalai H, Luo JJ, Hafner J, Yamagata T (2010) Poleward propagation of boreal summer intraseasonal oscillations in a coupled model: role of internal processes. Clim Dynam, 851–867. doi:10.1007/s00382-010-0839-6

  • Alexander RP, Zhao Z, Székely E, Giannakis D (2016) Kernel analog forecasting of tropical intraseasonal oscillations. J Atmos Sci (In revision)

  • Annamalai H, Sperber KR (2005) Regional heat sources and the active and break phases of boreal summer intraseasonal (30–50 day) variability. J Atmos Sci 62:2726–2748

    Article  Google Scholar 

  • Belkin M, Niyogi P (2003) Laplacian eigenmaps for dimensionality reduction and data representation. Neural Comput 15:1373–1396. doi:10.1162/089976603321780317

    Article  Google Scholar 

  • Berry T, Cressman R, Greguric Ferencek Z, Sauer T (2013) Time-scale separation from diffusion-mapped delay coordinates. SIAM J Appl Dyn Syst 12:618–649. doi:10.1137/12088183X

    Article  Google Scholar 

  • Chatterjee P, Goswami BN (2004) Structure, genesis and scale selection of the tropical quasi-biweekly mode. Q J Roy Meteorol Soc 130(599):1171–1194. doi:10.1256/qj.03.133

    Article  Google Scholar 

  • Chattopadhyay R, Rao SA, Sabeerali CT, George G, Rao DN, Dhakate A, Salunke K (2015) Large-scale teleconnection patterns of Indian summer monsoon as revealed by CFSv2 retrospective seasonal forecast runs. Int J Climatol. doi:10.1002/joc.4556

    Google Scholar 

  • Chen N, Majda AJ (2015) Predicting the cloud patterns for the boreal summer intraseasonal oscillation through a low-order stochastic model. Math Climate Weath Forecast 1(1):1–20. doi:10.1515/mcwf-2015-0001

    Google Scholar 

  • Chen N, Majda AJ, Giannakis D (2014) Predicting the cloud patterns of the Madden–Julian Oscillation through a low-order nonlinear stochastic model. Geophys Res Lett 41(15):5612–5619. doi:10.1002/2014GL060876

    Article  Google Scholar 

  • Coifman RR, Lafon S (2006) Diffusion maps. Appl Comput Harmon Anal 21:5–30. doi:10.1016/j.acha.2006.04.006

    Article  Google Scholar 

  • Coifman RR, Lafon S (2006b) Geometric harmonics: a novel tool for multiscale out-of-sample of empirical functions. Appl Comput Harmon Anal 21:31–52

    Article  Google Scholar 

  • Comeau D, Zhao Z, Giannakis D, Majda AJ (2016) Data-driven prediction strategies for low-frequency patterns of North Pacific climate variability. Climate Dyn. doi:10.1007/s00382-016-3177-5 (in press)

  • Gadgil S (2003) The Indian monsoon and it’s variability. Annu Rev Earth Planet Sci 31:429–467

    Article  Google Scholar 

  • George G, Rao DN, Sabeerali CT, Srivastava A, Rao SA (2016) Indian summer monsoon prediction and simulation in CFSv2 coupled model. Atmos Sci Lett 17(1):57–64. doi:10.1002/asl.599

    Article  Google Scholar 

  • Giannakis D, Majda AJ (2012a) Comparing low-frequency and intermittent variability in comprehensive climate model through nonlinear Laplacian spectral analysis. Geophys Res Lett 39:L10710. doi:10.1029/2012GL051575

    Google Scholar 

  • Giannakis D, Majda AJ (2012b) Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability. Proc Natl Acad Sci USA 109:2222–2227. doi:10.1073/pnas.1118984109

    Article  Google Scholar 

  • Giannakis D, Tung WW, Majda AJ (2012) Hierarchical structure of the Madden–Julian oscillation in infrared brightness temperature revealed through nonlinear Laplacian spectral analysis. In: 2012 conference on intelligent data understanding (CIDU), Boulder, Colorado, pp 55–62. doi:10.1109/CIDU.2012.6382201

  • Gill AE (1980) Some simple solutions for heat-induced tropical circulation. Q J R Meteorol Soc 106:447–462

    Article  Google Scholar 

  • Goswami BB, Deshpande M, Mukhopadhyay P, Saha SK, Rao SA, Murthugudde R, Goswami BN (2014) Simulation of monsoon intraseasonal variability in NCEP CFSv2 and its role on systematic bias. Clim Dyn 43(9):2725–2745. doi:10.1007/s00382-014-2089-5

    Article  Google Scholar 

  • Goswami BN, Ajayamohan RS (2001) Intraseasonal oscillations and interannual variability of the Indian summer monsoon. J Clim 14:1180–1198. doi:10.1175/1520-0442(2001) 014<1180:IOAIVO>2.0.CO;2

    Article  Google Scholar 

  • Huffman GJ, Adler RF, Morrissey MM, Curtis S, Joyce R, McGavock B, Sisskind J (2001) Global precipitation at one degree daily resolution from multisatellite observations. J Hydrometeor 2:35–50

    Article  Google Scholar 

  • Kalnay E, Kanamitsu M, Kistler R, Collins W, Deaven D, Gandin L, Iredell M, Saha S, White G, Woollen J et al (1996) The NCEP/NCAR 40-year reanalysis project. Bull Am Meteorol Soc 77(3):437–471

    Article  Google Scholar 

  • Kemball-Cook SR, Wang B (2001) Equatorial waves and air-sea interaction in the boreal summer intraseasonal oscillation. J Clim 14:2923–2942

    Article  Google Scholar 

  • Kikuchi K, Wang B, Kajikawa Y (2012) Bimodal representation of the tropical intraseasonal oscillation. Clim Dynam 38(9–10):1989–2000. doi:10.1007/s00382-011-1159-1

    Article  Google Scholar 

  • Kiladis GN, Dias J, Straub KH, Wheeler MC, Tulich SN, Kikuchi K, Weickmann KM, Ventrice MJ (2014) A comparison of OLR and circulation-based indices for tracking the MJO. Mon Weath Rev 142:1697–1715. doi:10.1175/mwr-d-13-00301.1

    Article  Google Scholar 

  • Krishnamurthy V, Shukla J (2007) Intraseasonal and seasonally persisting patterns of Indian monsoon rainfall. J Clim 20(1):3–20. doi:10.1175/JCLI3981.1

    Article  Google Scholar 

  • Krishnamurti TN, Bhalme HN (1976) Oscillations of monsoon system. Part I: observational aspects. J Atmos Sci 45:1937–1954

    Article  Google Scholar 

  • Lee JY, Wang B, Wheeler MC, Fu X, Waliser DE, Kang IS (2013) Real-time multivariate indices for the boreal summer intraseasonal oscillation over the Asian summer monsoon region. Clim Dyn 40(1):493–509. doi:10.1007/s00382-012-1544-4

    Article  Google Scholar 

  • Liebmann B (1996) Description of a complete (interpolated) outgoing longwave radiation dataset. Bull Am Meteor Soc 77:1275–1277

    Google Scholar 

  • Matsuno T (1966) Quasi-geostrophic motions in the equatorial area. J Meteorol Soc Japan 44(1):25–43

    Article  Google Scholar 

  • Packard NH et al (1980) Geometry from a time series. Phys Rev Lett 45:712–716. doi:10.1103/physrevlett.45.712

    Article  Google Scholar 

  • Pillai PA, Sahai AK (2015) Moisture dynamics of the northward and eastward propagating boreal summer intraseasonal oscillations: possible role of tropical Indo-west Pacific SST and circulation. Clim Dyn, 1–16. doi:10.1007/s00382-015-2904-7

  • Ramu DA, Sabeerali CT, Chattopadhyay R, Rao DN, George G, Dhakate A, Salunke K, Srivastava A, Rao SA (2016) Indian summer monsoon rainfall simulation and prediction skill in the CFSv2 coupled model: impact of atmospheric horizontal resolution. J Geophys Res Atmos. doi:10.1002/2015JD024629

  • Sabeerali CT, Rao SA, Ajayamohan RS, Murtugudde R (2012) On the relationship between Indian summer monsoon withdrawal and Indo-Pacific SST anomalies before and after 1976/1977 climate shift. Clim Dyn 39(3–4):841–859

    Article  Google Scholar 

  • Sabeerali CT, Ramu Dandi A, Dhakate A, Salunke K, Mahapatra S, Rao SA (2013) Simulation of boreal summer intraseasonal oscillations in the latest CMIP5 coupled GCMs. J Geophys Res 118(10):4401–4420. doi:10.1002/jgrd.50403

    Google Scholar 

  • Saha S, Moorthi S, Wu X, Wang J, Nadiga S, Tripp P, Behringer D, Hou YT, Hy Chuang, Iredell M et al (2014) The NCEP climate forecast system version 2. J Clim 27(6):2185–2208. doi:10.1175/JCLI-D-12-00823.1

    Article  Google Scholar 

  • Sahai AK, Sharmila S, Abhilash S, Chattopadhyay R, Krishna NBRPM, Joseph S, Roxy M, De S, Pattnaik S, Pillai PA (2013) Simulation and extended rangeprediction of monsoon intraseasonal oscillations in NCEP CFS/GFS version 2 framework. Curr Sci 104(10):1394–1408

    Google Scholar 

  • Sauer T, Yorke JA, Casdagli M (1991) Embedol J Stat Phys 65(3–4):579–616. doi:10.1007/bf01053745

    Article  Google Scholar 

  • Sikka DR, Gadgil S (1980) On the maximum cloud zone and the ITCZ over Indian longitude during southwest monsoon. Mon Weath Rev 108:1840–1853

    Article  Google Scholar 

  • Stachnik J, Waliser D, Majda AJ (1931) Precursor environmental conditions associated with the termination of Madden–Julian oscillation events. J Atmos Sci 72:1908. doi:10.1175/JAS-D-14-0254.1

    Article  Google Scholar 

  • Straub KH (2013) MJO initiation in the real-time multivariate MJO index. J Clim 26:1130–1151. doi:10.1175/jcli-d-12-00074.1

    Article  Google Scholar 

  • Suhas E, Neena J, Goswami B (2013) An Indian monsoon intraseasonal oscillations (MISO) index for real time monitoring and forecast verification. Clim Dynam 40(11–12):2605–2616. doi:10.1007/s00382-012-1462-5

    Article  Google Scholar 

  • Székely E, Giannakis D, Majda AJ (2016a) Extraction and predictability of coherent intraseasonal signals in infrared brightness temperature data. Clim Dyn 46(5):1473–1502

    Article  Google Scholar 

  • Székely E, Giannakis D, Majda AJ (2016) Initiation and termination of intraseasonal oscillations in nonlinear Laplacian spectral analysis indices. Math Clim Weath Forecast 2(1):1–25. doi:10.1515/mcwf-2016-0001

    Google Scholar 

  • Ww Tung, Giannakis D, Majda AJ (2014) Symmetric and antisymmetric signals in MJO deep convection. Part I: basic modes in infrared brightness temperature. J Atmos Sci 71:3302–3326. doi:10.1175/jas-d-13-0122.1

    Article  Google Scholar 

  • Wang B, Xie X (1997) A model for the boreal summer intraseasonal oscillations. J Atmos Sci 54:72–86

    Article  Google Scholar 

  • Wheeler MC, Hendon HH (2004) An all-season real-time multivariate MJO index: development of an index for monitoring and prediction. Mon Weath Rev 132(8):1917–1932

    Article  Google Scholar 

  • Zhao Z, Giannakis D (2016) Analog forecasting with dynamics-adapted kernels. Nonlinearity 29(9):2888–2939

    Article  Google Scholar 

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Acknowledgements

The authors gratefully acknowledge the financial support given by the Earth System Science Organization, Ministry of Earth Sciences (MoES), Government of India (Grant no.MM/SERP/NYU/2014/SSC-01/002) to conduct this research under Monsoon Mission. The Center for Prototype Climate Modelling (CPCM) is fully funded by the Abu Dhabi Government through New York University Abu Dhabi (NYUAD) Research Institute Grant. A. J. M. and D. G. also acknowledge support from ONR MURI Grant 25-74200-F7112. The computations were carried out on the High Performance Computing resources at NYUAD. We thank IITM, Pune, India for providing NCEP CFSv2 model simulations for verification. We thank Dr. M. Rajeevan, secretary, MoES for constant encouragement. We acknowledge the support from Dr. S. A. Rao, Dr. A. K. Sahai and Dr. S. Abhilash for providing model data. We thank the Editor and three anonymous Reviewers for their valuable time and comments.

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Authors and Affiliations

  1. Center for Prototype Climate Modeling, New York University Abu Dhabi, P.O. Box 129188, Abu Dhabi, UAE

    C. T. Sabeerali, R. S. Ajayamohan & Andrew J. Majda

  2. Department of Mathematics, Center for Atmosphere Ocean Science, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, 10012, USA

    Dimitrios Giannakis & Andrew J. Majda

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  1. C. T. Sabeerali
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  2. R. S. Ajayamohan
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  4. Andrew J. Majda
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Correspondence to R. S. Ajayamohan.

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Sabeerali, C.T., Ajayamohan, R.S., Giannakis, D. et al. Extraction and prediction of indices for monsoon intraseasonal oscillations: an approach based on nonlinear Laplacian spectral analysis. Clim Dyn 49, 3031–3050 (2017). https://doi.org/10.1007/s00382-016-3491-y

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Keywords

  • Monsoon intraseasonal oscillations
  • Extended range prediction
  • Nonlinear Laplacian spectral analysis
  • NCEP CFSv2