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A spatial–temporal projection model for extended-range forecast in the tropics

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Abstract

An extended singularity value decomposition based statistical model, namely the spatial–temporal projection model (STPM), was constructed for the extended-range (10–30-day) forecast of tropical outgoing longwave radiation anomalies (OLRA). The special feature of this empirical model is using the spatial and temporal information of predictor–predictand coupled patterns to predict the temporally varying predictand field at all-time leads (i.e., 10–35 days) at once. A 10-year hindcast result shows that, different from previous statistical models, the skill scores of the STPM dropped slowly with forecast lead times. Useful skills can be detected at 30–35 day leads over most tropical regions. The highest temporal correlation coefficient of 0.4–0.5 appears over the Maritime Continent (Indian and western North Pacific monsoon regions) in boreal winter (summer), exceeding a 99 % confidence level. The STPM is also capable in predicting the spatial evolutions of convective anomalies, including the zonal and meridional propagation of OLRA. The forecast of the Real-time Multivariate MJO indices shows that the STPM attains a higher skill than previous statistical models. The STPM also shows comparable skills with the state-of-the-art dynamic models during the Dynamics of the Madden–Julian Oscillation campaign period, especially at 15-day and longer leads.

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References

  • Arkin PA, Ardanuy PE (1989) Estimating climatic-scale precipitation from space—a review. J Clim 2:1229–1238

    Article  Google Scholar 

  • Bretherton CS, Smith C, Wallace JM (1992) An intercomparison of methods for finding coupled patterns in climate data. J Clim 5:541–560

    Article  Google Scholar 

  • Brunet G et al (2010) Collaboration of the weather and climate communities to advance subseasonal-to-seasonal prediction. Bull Am Meteorol Soc 91:1397–1406

    Article  Google Scholar 

  • Cassou C (2008) Intraseasonal interaction between the Madden-Julian Oscillation and the North Atlantic Oscillation. Nature 455:523–527

    Article  Google Scholar 

  • Cavanaugh NR, Teddy A, Subramanian A, Mapes B, Seo H, Miller A (2014) The skill of atmospheric linear inverse models in hindcasting the Madden–Julian Oscillation. Clim Dyn. doi:10.1007/s00382-014-2181-x

    Google Scholar 

  • Chen T-C, Murakami M (1988) The 30–50 Day variation of convective activity over the Western Pacific Ocean with Emphasis on the Northwestern Region. Mon Weather Rev 116:892–906

    Article  Google Scholar 

  • Donald A, Meinke H, Power B, Maia AdHN, Wheeler MC, White N, Stone RC, Ribbe J (2006) Near-global impact of the Madden–Julian Oscillation on rainfall. Geophys Res Lett 33:L09704

    Article  Google Scholar 

  • Ferranti L, Palmer TN, Molteni F, Klinker E (1990) Tropical-extratropical interaction associated with the 30–60 day oscillation and its impact on medium and extended range prediction. J Atmos Sci 47:2177–2199

    Article  Google Scholar 

  • Fu X, Lee J-Y, Hsu P-C, Taniguchi H, Wang B, Wang W, Weaver S (2013) Multi-model MJO forecasting during DYNAMO/CINDY period. Clim Dyn 41:1067–1081

    Article  Google Scholar 

  • Ghil M, Mo K (1991) Intraseasonal oscillations in the global atmosphere. Part I: Northern Hemisphere and tropics. J Atmos Sci 48:752–779

    Article  Google Scholar 

  • Hsu H-H (1996) Global view of the intraseasonal oscillation during Northern Winter. J Clim 9:2386–2406

    Article  Google Scholar 

  • Hsu P-C, Li T (2012) Role of the boundary layer moisture asymmetry in causing the eastward propagation of the Madden–Julian Oscillation. J Clim 25:4914–4931

    Article  Google Scholar 

  • Hsu P-C, Li T, Tsou C-H (2011) Interactions between boreal summer intraseasonal oscillations and synoptic-scale disturbances over the Western North Pacific. Part I: energetics Diagnosis. J Clim 24:927–941

    Article  Google Scholar 

  • Hsu P-C, Li T, Lin Y-C, Lu M-M, Lee J-Y (2012) A spatial-temporal projection method for seasonal prediction of spring rainfall in northern Taiwan. J Meteorol Soc Jpn 90:179–190. doi:10.2151/jmsj.2012-202

    Article  Google Scholar 

  • Hsu P-C, Li T, You L, and Gao J and Ren H-L(2014) A spatial-temporal projection method for 10–30-day forecast of heavy rainfall in Southern China. Clim Dyn. doi:10.1007/s00382-014-22154

  • Jiang X, Li T, Wang B (2004) Structures and mechanisms of the northward propagating boreal summer intraseasonal oscillation. J Clim 17:1022–1039

    Article  Google Scholar 

  • Jiang X, Waliser DE, Wheeler MC, Jones C, Lee M-I, Schubert SD (2008) Assessing the skill of an all-season statistical forecast model for the Madden–Julian Oscillation. Mon Weather Rev 136:1940–1956

    Article  Google Scholar 

  • Jones C, Carvalho LMV, Wayne Higgins R, Waliser DE, Schemm JKE (2004) A statistical forecast model of tropical intraseasonal convective anomalies. J Clim 17:2078–2095

    Article  Google Scholar 

  • Kanamitsu M, Ebisuzaki W, Woollen J, Yang S-K, Hnilo JJ, Fiorino M, Potter GL (2002) NCEP–DOE AMIP-II reanalysis (R-2). Bull Am Meteorol Soc 83:1631–1643

    Article  Google Scholar 

  • Kang I-S, Kim HM (2010) Assessment of MJO predictability for boreal winter with various statistical and dynamical models. J Clim 23:2368–2378

    Article  Google Scholar 

  • Kikuchi K, Wang B, Kajikawa Y (2012) Bimodal representation of the tropical intraseasonal oscillation. Clim Dyn 38:1989–2000

    Article  Google Scholar 

  • Kim D et al (2009) Application of MJO simulation diagnostics to climate models. J Clim 22:6413–6436

    Article  Google Scholar 

  • Kondrashov D, Chekroun MD, Robertson AW, Ghil M (2013) Low-order stochastic model and “past-noise forecasting” of the Madden–Julian Oscillation. Geophys Res Lett 40:5305–5310

    Article  Google Scholar 

  • Krishnamurti TN, Ardanuy P (1980) The 10 to 20-day westward propagating mode and “Breaks in the Monsoons”. Tellus 32:15–26

    Article  Google Scholar 

  • Lau K-M, Chan PH (1986) Aspects of the 40–50 day oscillation during the Northern Summer as inferred from outgoing longwave radiation. Mon Weather Rev 114:1354–1367

    Article  Google Scholar 

  • Lau K-M, Phillips TJ (1986) Coherent fluctuations of extratropical geopotential height and tropical convection in intraseasonal time scales. J Atmos Sci 43:1164–1181

    Article  Google Scholar 

  • Lee J-Y, Wang B, Wheeler M, Fu X, Waliser D, Kang I-S (2013) Real-time multivariate indices for the boreal summer intraseasonal oscillation over the Asian summer monsoon region. Clim Dyn 40:493–509

    Article  Google Scholar 

  • Li T (2012) Synoptic and climatic aspects of tropical cyclogenesis in western North Pacific. In: Oouchi, K, Fudevasu H (eds) Cyclones: formation, triggers and control. Nova Science Publishers ISBN: 978-971-61942-61976-61945

  • Li T (2014) Recent advance in understanding the dynamics of the Madden–Julian oscillation. J Meteorol Res 28:1–33

    Google Scholar 

  • Li T, Wang B (2005) A review on the Western North Pacific monsoon: synoptic-to-interannual variabilities. Terr Atmos Ocean Sci 16:285–314

    Google Scholar 

  • Li K, Yu W, Li T, Murty VSN, Khokiattiwong S, Adi TR, Budi S (2013) Structures and mechanisms of the first-branch northward-propagating intraseasonal oscillation over the tropical Indian Ocean. Clim Dyn 40:1707–1720

    Article  Google Scholar 

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

    Google Scholar 

  • Liebmann B, Hendon HH, Glick JD (1994) The relationship between tropical cyclones of the western Pacific and Indian oceans and the Madden–Julian oscillation. J Meteorol Soc Jpn 72:401–411

    Google Scholar 

  • Lin H, Brunet G, Derome J (2008) Forecast skill of the Madden–Julian oscillation in two Canadian atmospheric models. Mon Weather Rev 136:4130–4149

    Article  Google Scholar 

  • Lo F, Hendon HH (2000) Empirical extended-range prediction of the Madden–Julian Oscillation. Mon Weather Rev 128:2528–2543

    Article  Google Scholar 

  • Lorenc AC (1984) The evolution of planetary-scale 200 mb divergent flow during the FGGE year. Q J R Meteorol Soc 110:427–441

    Article  Google Scholar 

  • Love BS, Matthews AJ (2009) Real-time localised forecasting of the Madden–Julian Oscillation using neural network models. Q J R Meteorol Soc 135:1471–1483

    Article  Google Scholar 

  • Love BS, Matthews AJ, Janacek GJ (2008) Real-time extraction of the Madden–Julian Oscillation using empirical mode decomposition and statistical forecasting with a VARMA model. J Clim 21:5318–5335

    Article  Google Scholar 

  • Madden RA, Julian PR (1971) Detection of a 40–50 Day oscillation in the zonal wind in the Tropical Pacific. J Atmos Sci 28:702–708

    Article  Google Scholar 

  • Madden RA, Julian PR (1972) Description of global-scale circulation cells in the tropics with a 40–50 Day Period. J Atmos Sci 29:1109–1123

    Article  Google Scholar 

  • Maharaj EA, Wheeler MC (2005) Forecasting an index of the Madden-oscillation. Int J Climatol 25:1611–1618

    Article  Google Scholar 

  • Maloney ED, Hartmann DL (2000) Modulation of Eastern North Pacific hurricanes by the Madden–Julian oscillation. J Clim 13:1451–1460

    Article  Google Scholar 

  • McPhaden MJ (1999) Genesis and evolution of the 1997–1998 El Niño. Science 283:950–954

    Article  Google Scholar 

  • Mo KC (2001) Adaptive filtering and prediction of intraseasonal oscillations. Mon Weather Rev 129:802–817

    Article  Google Scholar 

  • Nakazawa T (1986) Intraseasonal variations of OLR in the tropics during the FGGE year. J Meteorol Soc Jpn 64:17–34

    Google Scholar 

  • Pan L-L, Li T (2008) Interactions between the tropical ISO and midlatitude low-frequency flow. Clim Dyn 31:375–388

    Article  Google Scholar 

  • Rong X, Zhang R, Li T (2010) Impacts of Atlantic sea surface temperature anomalies on Indo-East Asian summer monsoon-ENSO relationship. Chin Sci Bull 55:2458–2468

    Article  Google Scholar 

  • Salby M, Hendon HH (1994) Intraseasonal behavior of clouds, temperature, and motion in the tropics. J Atmos Sci 51:2207–2224

    Article  Google Scholar 

  • Seo K-H, Wang W, Gottschalck J, Zhang Q, Schemm J-KE, Higgins WR, Kumar A (2009) Evaluation of MJO forecast skill from several statistical and dynamical forecast models. J Clim 22:2372–2388

    Article  Google Scholar 

  • Storch H, Xu J (1990) Principal oscillation pattern analysis of the 30- to 60-day oscillation in the tropical troposphere. Clim Dyn 4:175–190

    Article  Google Scholar 

  • Van Den Dool HM, Saha S (1990) Frequency dependence in forecast skill. Mon Weather Rev 118:128–137

    Article  Google Scholar 

  • Waliser DE, Jones C, Schemm J-KE, Graham NE (1999) A statistical extended-range tropical forecast model based on the slow evolution of the Madden–Julian Oscillation. J Clim 12:1918–1939

    Article  Google Scholar 

  • Wang B, Rui H (1990) Synoptic climatology of transient tropical intraseasonal convection anomalies. Meteorol Atmos Phys 44:43–61

    Article  Google Scholar 

  • Wang L, Li T, Zhou T, Rong X (2013) Origin of the intraseasonal variability over the North Pacific in Boreal Summer. J Clim 26:1211–1229

    Article  Google Scholar 

  • Wen M, Li T, Zhang R, Qi Y (2010) Structure and origin of the quasi-biweekly oscillation over the Tropical Indian Ocean in Boreal Spring. J Atmos Sci 67:1965–1982

    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 Weather Rev 132:1917–1932

    Article  Google Scholar 

  • Wheeler M, Weickmann KM (2001) Real-Time monitoring and prediction of modes of coherent synoptic to intraseasonal tropical variability. Mon Weather Rev 129:2677–2694

    Article  Google Scholar 

  • Zhang CD (2005) Madden-Julian oscillation. Rev Geophys 43:RG2003. doi:10.1029/2004RG000158

  • Zhang CD et al (2013) Cracking the MJO nut. Geophys Res Lett 40:1223–1230. doi:10.1002/grl.50244

    Article  Google Scholar 

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Acknowledgments

The authors thank Dr. Xiouhua Fu for discussions and two anonymous reviewers for their constructive comments. This work was supported by China National 973 project 2015CB453200, CMA grants GYHY201006020 and GYHY201306032, NSFC grant 41475084, ONR grant N00014-1210450, and a project funded by the priority academic program development of Jiangsu Higher Education institutions (PAPD). PH is partially supported by the Natural Science Foundation of Jiangsu Province (BK20140046). IPRC is partially sponsored by JAMSTEC. This is SOEST contribution number 9201, IPRC contribution number 1079 and ESMC contribution number 014.

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Zhu, Z., Li, T., Hsu, Pc. et al. A spatial–temporal projection model for extended-range forecast in the tropics. Clim Dyn 45, 1085–1098 (2015). https://doi.org/10.1007/s00382-014-2353-8

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  • DOI: https://doi.org/10.1007/s00382-014-2353-8

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