Abstract
The Madden–Julian Oscillation (MJO) is the major mode of intraseasonal variability (30–60 days) in the tropics, having large rainfall impacts globally, and possibly on southern Africa. However, the latter impact is not well understood and needs to be further explored. The life cycle of the MJO, known to be asymmetric, has been nevertheless analyzed usually through methods constrained by both linearity and orthogonality, such as empirical orthogonal function analysis. Here we explore a non-linear classification method, the self-organizing map (SOM), a type of artificial neural network used to produce a low-dimensional representation of high-dimensional datasets, to capture more accurately the life cycle of the MJO and its global impacts. The classification is applied on intraseasonal anomalies of outgoing longwave radiation within the tropical region over the 1980–2009 period. Using the SOM to describe the MJO is a new approach, complimentary to the usual real-time multivariate MJO index. It efficiently captures this propagative phenomenon and its seasonality, and is shown to provide additional temporal and spatial information on MJO activity. For each node, the subtropical convection is analyzed, with a particular focus on the southern Africa region. Results show that the convection activity over the central tropical Indian Ocean is a key factor influencing the intraseasonal convective activity over the southern African region. Enhanced (suppressed) convection over the central Indian Ocean tends to suppress (enhance) convection over the southern African region with a 10-day lag by modulating the moisture transport.
Similar content being viewed by others
References
Barlow M, Wheeler M, Lyon B, Cullen H (2005) Modulation of daily precipitation over southwest Asia by the Madden–Julian Oscillation. Mon Weather Rev 133:3579–3594
Bladé I, Hartmann DL (1995) The linear and nonlinear extratropical response of the atmosphere to tropical intraseasonal heating. J Atmos Sci 52:4448–4471
Bloomfield P (2004) Fourier analysis of time series: an introduction. Wiley, New York
Bortel R, Sovka P (2007) Approximation of statistical distribution of magnitude squared coherence estimated with segment overlapping. Signal Process 87:1100–1117
Chattopadhyay R, Vintzileos A, Zhang C (2013) A description of the Madden–Julian Oscillation based on a self-organizing map. J Clim 26:1716–1732
Chelliah M, Arkin P (1992) Large-scale interannual variability of monthly outgoing longwave radiation anomalies over the global tropics. J Clim 5:371–389
Daniell PJ (1946) Discussion on the “Symposium on autocorrelation in time series”. J R Stat Soc Suppl 8:88–90
Donald A, Meinke H, Power B, Maia AHN, Wheeler MC, White N, Stone RC, Ribbe J (2006) Near-global impact of the Madden–Julian Oscillation on rainfall. Geophys Res Lett. doi:10.1029/2005GL025155
Duchon CE (1979) Lanczos filtering in one and two dimensions. J Appl Meteorol 18:1016–1022
Dyer TGJ (1979) Rainfall along the east coast of southern Africa, the southern oscillation, and the latitude of the subtropical high pressure belt. Q J R Meteorol Soc 105:445–451
Ebisuzaki W (1997) A method to estimate the statistical significance of a correlation when the data are serially correlated. J Clim 10:2147–2153
Enochson LD, Goodman NR (1965) Gaussian approximations to the distribution of sample coherence. Air Force Flight Dynamics Laboratory, Wright-Patterson Air Force base
Fauchereau N, Pohl B, Reason CJC, Rouault M, Richard Y (2009) Recurrent daily OLR patterns in the Southern Africa/Southwest Indian Ocean region, implications for South African rainfall and teleconnections. Clim Dyn 32:575–591
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
Goff JA, Gratch S (1946) Low-pressure properties of water from −160 to 212F. Trans Am Soc Heat Vent Eng 52:95–121
Gutzler DS, Madden RA (1989) Seasonal variations in the spatial structure of intraseasonal tropical wind fluctuations. J Atmos Sci 46:641–660
Hart NCG, Reason CJC, Fauchereau N (2012a) Building a tropical-extratropical cloud band metbot. Mon Weather Rev 140:4005–4016
Hart NCG, Reason CJC, Fauchereau N (2012b) Cloud bands over souther Africa: seasonality, contribution to rainfall variability and modulation by the MJO. Clim Dyn. doi:10.1007/s00382-012-1589-4
Hayashi Y, Golder DG (1993) Tropical 40–50- and 25–30-day oscillations appearing in realistic and idealized GFDL climate models and the ECMWF dataset. J Atmos Sci 50:464–494
Hendon HH, Liebmann B (1990) The intraseasonal (30–50 day) oscillation of the Australian summer monsoon. J Atmos Sci 47:2909–2924
Hendon HH, Salby ML (1994) The life cycle of the Madden–Julian Oscillation. J Atmos Sci 51:2225–2237
Hewitson B, Crane RG (2002) Self-organizing maps: application to synoptic climatology. Clim Res 22:13–26
Jenkner J, Hsieh WW, Cannon AJ (2011) Seasonal modulations of the active MJO cycle characterized by nonlinear principal component analysis. Mon Weather Rev 139:2259–2275
Jones AG (1981) Transformed coherence functions for multivariate studies. IEEE Trans Acoust Speech Signal Process 29:317–319
Jones C (2000) Occurrence of extreme precipitation events in California and relationships with the Madden–Julian Oscillation. J Clim 13:3576–3587
Kanamitsu M, Ebisuzaki W, Woollen J, Yang SK, Hnilo JJ, Fiorino M, Potter GL (2002) NCEP-DOE AMIP-II reanalysis (R-2). Bull Am Meteorol Soc 83:1631–1643
Kessler WS (2001) EOF representations of the Madden–Julian Oscillation and its connection with ENSO. J Clim 14:3055–3061
Knutson TR, Weickmann KM (1987) 30–60 day atmospheric oscillations: composite life cycles of convection and circulation anomalies. Mon Weather Rev 115:1407–1436
Knutson TR, Weickmann KM, Kutzbach JE (1986) Global-scale intraseasonal oscillations of outgoing longwave radiation and 250 mb zonal wind during northern hemisphere summer. Mon Weather Rev 114:605–623
Kohonen T (1982) Self-organized formation of topologically correct feature maps. Biol Cybern 43:59–69
Kohonen T (1989) Self-organization and associative memory. Springer, Berlin
Kohonen T (2001) Self-organizing maps, 3rd edn. Springer, Berlin
Kohonen T, Hynninen J, Kangas J, Laaksonen J (1995) SOM_PAK: the self-organizing map program package. Helsinki University of Technology, Laboratory of Computer and Information Science, Espoo, Finland. http://www.cis.hut.fi/research/som_lvq_pak.shtml
Lau K, Chan PH (1985) Aspects of the 40–50 day oscillation during the Northern winter as inferred from outgoing longwave radiation. Mon Weather Rev 113:1889–1909
Lawrence DM, Webster PJ (2002) The boreal summer intraseasonal oscillation: relationship between northward and eastward movement of convection. J Atmos Sci 59:1593–1606
Leloup J, Lachkar Z, Boulanger J, Thiria S (2007) Detecting decadal changes in ENSO using neural networks. Clim Dyn 28:147–162
Levey KM, Jury MR (1996) Composite intraseasonal oscillations of convection over Southern Africa. J Clim 9:1910–1920
Liebmann B, Smith CA (1996) Description of a complete (interpolated) outgoing longwave radiation dataset. Bull Am Meteorol Soc 77:1275–1277
Liebmann B, Kiladis GN, Vera CS, Saulo AC, Carvalho LMV (2004) Subseasonal variations of rainfall in South America in the vicinity of the low-level jet east of the Andes and comparison to those in the South Atlantic convergence zone. J Clim 17:3829–3842
Lindesay JA (1988) South African rainfall, the Southern Oscillation and a Southern Hemisphere semi-annual cycle. J Climatol 8:17–30
Lindesay JA, Vogel CH (1990) Historical evidence for southern Oscillation—southern African rainfall relationships. Int J Climatol 10:679–689
Liu Y, Weisberg RH, Mooers CNK (2006) Performance evaluation of the self-organizing map for feature extraction. J Geophys Res. doi:10.1029/2005JC003117
Lyon B, Mason SJ (2007) The 1997–98 summer rainfall season in Southern Africa. Part I: observations. J Clim 20:5134–5148
Madden RA (1986) Seasonal variations of the 40–50 day oscillation in the tropics. J Atmos Sci 43:3138–3158
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
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
Madden RA, Julian PR (1994) Observations of the 40–50-day tropical oscillation—a review. Mon Weather Rev 122:814–837
Maloney ED, Hartmann DL (1998) Frictional moisture convergence in a composite life cycle of the Madden–Julian Oscillation. J Clim 11:2387–2403
Marple SL (1986) Digital spectral analysis: with applications. Prentice-Hall Inc., New-Jersey
Matthews AJ (2000) Propagation mechanisms for the Madden–Julian Oscillation. Q J R Meteorol Soc 126:2637–2651
Matthews AJ (2004) Intraseasonal variability over tropical Africa during northern summer. J Clim 17:2427–2440
Matthews AJ, Hoskins BJ, Masutani M (2004) The global response to tropical heating in the Madden–Julian Oscillation during the northern winter. Q J R Meteorol Soc 130:1991–2011
McGee OS (1970) Wind and humidity conditions over Durban during 1967. S Afr Geogr J 52:44–57
Mo KC, Higgins RW (1998) The Pacific-south American modes and tropical convection during the southern hemisphere winter. Mon Weather Rev 126:1581–1596
Morioka Y, Tozuka T, Yamagata T (2010) Climate variability in the southern Indian Ocean as revealed by self-organizing maps. Clim Dyn 35:1075–1088
Mpeta EJ, Jury MR (2001) Intra-seasonal convective structure and evolution over tropical East Africa. Clim Res 17:83–92
Mutai CC, Ward MN (1998) Predictability of the East African short rains on intraseasonal to interannual timescales. In: Proceedings of 23rd annual climate diagnostics workshop. Miami, Florida, pp 23–46
Percival DB, Walden AT (1993) Spectral analysis for physical applications. Cambridge University Press, Cambridge
Pohl B, Camberlin P (2006) Influence of the Madden–Julian Oscillation on East African rainfall. I: intraseasonal variability and regional dependency. Q J R Meteorol Soc 132:2521–2539
Pohl B, Richard Y, Fauchereau N (2007) Influence of the Madden–Julian Oscillation on southern African summer rainfall. J Clim 20:4227–4242
Pohl B, Fauchereau N, Richard Y, Rouault M, Reason CJC (2009) Interactions between synoptic, intraseasonal and interannual convective variability over southern Africa. Clim Dyn 33:1033–1050
Ratna S, Behera S, Ratnam JV, Takahashi K, Yamagata T (2012) An index for tropical temperate troughs over southern Africa. Clim Dyn. doi:10.1007/s00382-012-1540-8
Reynolds RW, Smith TM, Liu C, Chelton DB, Casey KS, Schlax MG (2007) Daily high-resolution-blended analyses for sea surface temperature. J Clim 20:5473–5496
Richard Y, Trzaska S, Roucou P, Rouault M (2000) Modification of the southern African rainfall variability/ENSO relationship since the late 1960s. Clim Dyn 16:883–895
Sakai K, Kawamura R, Iseri Y (2010) ENSO-induced tropical convection over the Indian and western Pacific oceans during the northern winter as revealed by a self-organizing map. J Geophys Res. doi:10.1029/2010JD014415
Salby ML, Hendon HH (1994) Intraseasonal behavior of clouds, temperature, and motion in the tropics. J Atmos Sci 51:2207–2224
Semazzi FHM (1980) Stationary barotropic flow induced by a mountain over a tropical belt. Mon Weather Rev 108:922–930
Thomson DJ (1982) A historical perspective of spectrum estimation. Proc IEEE 70:1055–1096
Todd MC, Washington R (1999) Circulation anomalies associated with tropical-temperate troughs in southern Africa and the south West Indian Ocean. Clim Dyn 15:937–951
Tozuka T, Luo J, Masson S, Yamagata T (2008) Tropical Indian Ocean variability revealed by self-organizing maps. Clim Dyn 31:333–343
von Storch H, Zwiers FW (2002) Statistical analysis in climate research. Cambridge University Press, Cambridge
Waliser DE (2006) Intraseasonal variabilty. In: Wang B (ed) The Asian monsoon. Springer-Praxis, Berlin, pp 203–257
Waliser D, Sperber K, Hendon H, Kim D, Maloney E, Wheeler M, Weickmann K, Zhang C, Donner L, Gottschalck J, Higgins W, Kang I, Legler D, Moncrieff M, Schubert S, Stern W, Vitart F, Wang B, Wang W, Woolnough S (2009) MJO simulation diagnostics. J Clim 22:3006–3030
Washington R, Todd MC (1999) Tropical-temperate links in southern African and southwest Indian Ocean satellite-derived daily rainfall. Int J Climatol 19:1601–1616
Weickmann KM, Lussky GR, Kutzbach JE (1985) Intraseasonal (30–60 Day) fluctuations of outgoing longwave radiation and 250 mb streamfunction during northern winter. Mon Weather Rev 113:941–961
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
Woolnough SJ, Slingo JM, Hoskins BJ (2000) The relationship between convection and sea surface temperature on intraseasonal timescales. J Clim 13:2086–2104
World Meterological Organisation (2000) General meteorological standards and recommended practices, Appendix A, WMO Technical Regulations, WMO-No. 49, corrigendum. World Meteorological Organization, Geneva
Xie P, Arkin PA (1997) Global precipitation: a 17-year monthly analysis based on gauge observations, satellite estimates and numerical model outputs. Bull Am Meteorol Soc 78:2539–2558
Zhang C (2005) Madden–Julian Oscillation. Rev Geophys. doi:10.1029/2004RG000158
Zhang C, Dong M (2004) Seasonality in the Madden–Julian Oscillation. J Clim 17:3169–3180
Zhang C, Hagos S (2009) Bi-modal structure and variability of large-scale diabetic heating in the tropics. J Atmos Sci 66:3621–3640
Zhang C, Ling J (2012) Potential vorticity of the Madden–Julian oscillation. J Atmos Sci 69:65–78
Acknowledgments
The present research is supported by the Japan Science and Technology Agency (JST)/Japan International Cooperation Agency (JICA) through the Science and Technology Research Partnership for Sustainable Development (SATREPS). NCEP/DOE 2 Reanalysis, Interpolated OLR and NOAA High Resolution SST data are provided by the NOAA/OAR/ESRL PSD, Boulder, Colorado, USA, from their Web site at http://www.esrl.noaa.gov/psd/. The SOM is performed using the SOM_PAK software (www.cis.hut.fi/research/som_pak). Other calculations, as well as graphics, are made using the R project for statistical computing (http://www.r-project.org). The authors would like to thank two anonymous reviewers for their helpful comments.
Author information
Authors and Affiliations
Corresponding author
Additional information
Dr Takeshi Izumo was formerly at the University of Tokyo.
Rights and permissions
About this article
Cite this article
Oettli, P., Tozuka, T., Izumo, T. et al. The self-organizing map, a new approach to apprehend the Madden–Julian Oscillation influence on the intraseasonal variability of rainfall in the southern African region. Clim Dyn 43, 1557–1573 (2014). https://doi.org/10.1007/s00382-013-1985-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00382-013-1985-4