Statistical Models for Long-range Forecasting of Southwest Monsoon Rainfall over India Using Step Wise Regression and Neural Network

Abstract

The long-range forecasts (LRF) based on statistical methods for southwest monsoon rainfall over India (ISMR) has been issued by the India Meteorological Department (IMD) for more than 100 years. Many statistical and dynamical models including the operational models of IMD failed to predict the operational models of IMD failed to predict the deficient monsoon years 2002 and 2004 on the earlier occasions and so had happened for monsoon 2009. In this paper a brief of the recent methods being followed for LRF that is 8-parameter and 10-parameter power regression models used from 2003 to 2006 and new statistical ensemble forecasting system are explained. Then the new three stage procedure is explained. In this the most pertinent predictors are selected from the set of all the potential predictors for April, June and July models. The model equations are developed by using the linear regression and neural network techniques based upon training set of the 43 years of data from 1958 to 2000. The skill of the models is evaluated based upon the validation set of 11 years of data from 2001 to 2011, which has shown the high skill on the validation data set. It can be inferred that these models have the potential to provide a prediction of ISMR, which would significantly improve the operational forecast.

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A. Kumar, D. Pai, J. Singh, R. Singh and D. Sikka, "Statistical Models for Long-range Forecasting of Southwest Monsoon Rainfall over India Using Step Wise Regression and Neural Network," Atmospheric and Climate Sciences, Vol. 2 No. 3, 2012, pp. 322-336. doi: 10.4236/acs.2012.23029.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] G. T. Walker, “A Further Study of Relationships with Indian Monsoon Rainfall-II,” Memoirs of the India Meteorological Department, Vol. 23, No. 8, 1914, pp. 123- 129.
[2] G. T. Walker, “Correlation in Seasonal Variations of Weather, VIII: A Preliminary Study of World Weather,” Memoirs of the India Meteorological Department, Vol. 24, No. 4, 1923, pp. 75-131.
[3] V. Thapliyal, “Stochastic Dynamic Model for Long Range Forecasting of Summer Monsoon Rainfall in Peninsular INDIA,” Mausam, Vol. 33, 1982, pp. 399-404.
[4] V. Gowariker, V. Thapliyal, R. P. Sarker, G. S. Mandal and D. R. Sikka, “Parametric and Power Regression Models: New Approach to Long Range Forecasting of Monsoon Rainfall in India,” Mausam, Vol. 40, 1989, pp. 115- 122.
[5] V. Gowariker, V. Thapliyal, S. M. Kulshrestha, G. S. Mandal, N. Sen Roy and D. R. Sikka, “A Power Regression Model for Long Range Forecast of Southwest Monsoon Rainfall over India,” Mausam, Vol. 42, 1991, pp. 125-130.
[6] M. Rajeevan, D. S. Pai, S. K. Dikshit and R. R. Kelker, “IMD’s New Operational Models for Long Range Forecast of South-West Monsoon Rainfall over India and Their Verification for 2003,” Current Science, Vol. 86, No. 3, 2004, pp. 422-431.
[7] D. S. Wilks, “Statistical Methods in Atmospheric Sciences,” Academic Press, Waltham, 1995.
[8] M. Rajeevan, P. Guhathakurta and V. Thapliyal, “New Models for Long Range Forecasts of Summer Monsoon Rainfall over Northwest and Peninsular India,” Meteorology and Atmospheric Physics, Vol. 73, No. 3-4, 2000, pp. 211-225. doi:10.1007/s007030050074
[9] M. Rajeevan, D. S. Pai, R. A. Kumar and B. Lal, “New Statistical Models for Long Range Forecasting of South-West Monsoon Rainfall over India,” Climate Dynamics, Vol. 28, No. 7-8, 2007, pp. 813-828. doi:10.1007/s00382-006-0197-6
[10] R. G. Tapp, F. Woodcock and G. A. Mills, “Application of MOS to Precipitation Prediction in Australia,” Monthly Weather Review, Vol. 114, No. 1, 1986, pp. 50 61. doi:10.1175/1520-0493(1986)114<0050:TAOMOS>2.0.CO;2
[11] A. Kumar and P. Maini, “An Experimental Medium Range Local Weather Forecast Based upon Global Circulation Model at NCMRWF, TROPMAT 1993,” Indian Meteorological Society, New Delhi, 1993, pp. 48 55.
[12] A. Kumar and P. Maini, “Statistical Interpretation of General Circulation Model: A Prospect for Automation of Medium Range Local Weather Forecast in India,” Mausam, Vol. 47, No. 3, 1996, pp. 227 234.
[13] P. Jain, A. Kumar, P. Maini and S. V. Singh, “Short Range SW Monsoon Rainfall Forecasting over India Using Neural Networks,” Mausam, Vol. 53, No. 2, 2002, pp. 225-232.
[14] T. Masters, “Practical Neural Network Recipes in C++,” Academic Press, Waltham, 1993, p. 493.
[15] B. Muller and J. Reinhardt, “Neural Networks: An Introduction. The Physics of Neural Networks Series,” Springer-Verlag, Berlin, 1991, 266 pages.

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