Relationship Between El NiÑo Southern Oscillation Index and Rainfall (Queensland, Australia)

Relationship Between El NiÑo Southern Oscillation Index and Rainfall (Queensland, Australia)

G.A. Tularam

Faculty of Science Engineering Environment and Technology (SEET), Griffith University, Australia

Page: 
378-391
|
DOI: 
https://doi.org/10.2495/SDP-V5-N3-378-391
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

This paper explores the relationship between El Niño Southern Oscillation Index (SOI) and rainfall in South East Queensland. Several statistical models of the SOI and rainfall data are analysed including interactions. The results of the analyses show that although the SOI and rainfall can be predicted for short terms using time series analysis methods, mean squared error (MSE) and Theil’s U showed that in comparison to persistence model forecasts may not be significantly better. Although the short term predictions may be worse, this does not mean that these cannot be used; rather, it shows that for different fitting and forecast periods, models can fail in predicting ahead. In fact weather forecasts can predict the short term rainfall well – but cannot predict monthly precipitation for two or three or more months ahead. In climate predictions the limit of predictability is reached when the standardised MSE reaches the climate variance (=1). All the rainfall models used in this study show an MSE well below 1, i.e. the models did not reach the limit of predictability.

Keywords: 

El Niño, predicting rainfall, rainfall modelling, SOI, time series

  References

[1] Katz, R.W., Sir Gilbert Walker and a connection between El Nino and statistics. Statistical Science, 17, pp. 97–112, 2002. doi:10.1214/ss/1023799000

[2] Fedorov, A.V., Harper, S.L., Philander, S.G., Winter, B. & Wittenberg, A., How predictable is El Nino. Bull Am Meteorol Soc, 84, pp. 911–919, 2003. doi:10.1175/BAMS-84-7-911

[3] Ahn, J.H. & Kim, H.S., Nonlinear modeling of El Nino/southern oscillation index. Journal of Hydrologic Engineering, 10, pp. 8–15, 2005. doi:10.1061/(ASCE)1084-0699(2005)10:1(8)

[4] Latif, M., Anderson, D., Barnett, T., Cane, M., Kleeman, R., Leetmaa, A., O’Brien, J., Rosati, A. & Schneider, E., A review of the predictability and prediction of ENSO. Journal of Geophysical Research, 103, pp. 14375–14394, 1998. doi:10.1029/97JC03413

[5] Neelin, J.D., Battisti, D.S., Hirst, A.C., Jin, F.F., Wakata, Y., Yamagata, T. & Zebiak, S.E., ENSO theory. Journal of Geophysical Research C Oceans, 103, p. 14, 1998. doi:10.1029/97JC03424

[6] Chiew, F.H.S., Piechota, T.C., Dracup, J.A. & McMahon, T.A., El Nino/southern oscillation and Australian rainfall, streamflow and drought: links and potential for forecasting. Journal of Hydrology, 204, pp. 138–149, 1998. doi:10.1016/S00221694(97)00121-2

[7] Murphy, B.F. & Ribbe, J., Variability of southeastern Queensland rainfall and climate indices. International Journal of Climatology, 24, pp. 703–721, 2004. doi:10.1002/joc.1018

[8] Wright, S.J., Carrasco, C., Calderon, O. & Paton, S., The El Nino southern oscillation, variable fruit production, and famine in a tropical forest. Ecology, 80, pp. 1632–1647, 1999.  doi:10.1890/0012-9658(1999)080[1632:TENOSO]2.0.CO;2, doi:10.2307/176552

[9] Podbury, T., Sheales, T.C., Hussain, I. & Fisher, B.S., Use of El Nino climate forecasts in  Australia. American Journal of Agricultural Economics, 80, pp. 1096–1101, 1998. doi:10.2307/1244211

[10] Timmermann, A., Changes of ENSO stability due to greenhouse warming. Geophysical Research Letters, 28, pp. 2061–2064, 2001. doi:10.1029/2001GL012879

[11] Makridakis, S.G., Wheelwright, S.C. & Hyndman, R.J., Forecasting: Methods and Applications, 3rd edn, Wiley, p. 656, 1997.

[12] Password, F., Interest rate risk and equity values of Life Insurance Companies: a GARCH-M model. Journal of Risk & Insurance, 74, pp. 401–423, 2007. doi:10.1111/j.1539-6975.2007.00218.x [13] Zhou, B., He, D. & Sun, Z., Traffic modeling and prediction using ARIMA/GARCH  model. Proc of 2nd EuroNGI Conference on Next Generation Internet Design and Engineering, 2006.