Abstract
The south peninsular part of India gets maximum amount of rainfall during the northeast monsoon (NEM) season [October to November (OND)] which is the primary source of water for the agricultural activities in this region. A nonlinear method viz., Extreme learning machine (ELM) has been employed on general circulation model (GCM) products to make the multi-model ensemble (MME) based estimation of NEM rainfall (NEMR). The ELM is basically is an improved learning algorithm for the single feed-forward neural network (SLFN) architecture. The 27 year (1982–2008) lead-1 (using initial conditions of September for forecasting the mean rainfall of OND) hindcast runs (1982–2008) from seven GCM has been used to make MME. The improvement of the proposed method with respect to other regular MME (simple arithmetic mean of GCMs (EM) and singular value decomposition based multiple linear regressions based MME) has been assessed through several skill metrics like Spread distribution, multiplicative bias, prediction errors, the yield of prediction, Pearson’s and Kendal’s correlation coefficient and Wilmort’s index of agreement. The efficiency of ELM estimated rainfall is established by all the stated skill scores. The performance of ELM in extreme NEMR years, out of which 4 years are characterized by deficit rainfall and 5 years are identified as excess, is also examined. It is found that the ELM could expeditiously capture these extremes reasonably well as compared to the other MME approaches.
Similar content being viewed by others
References
Acharya N, Kar SC, Kulkarni MA, Mohanty UC, Sahoo LN (2011) Multi-model ensemble schemes for predicting northeast monsoon rainfall over peninsular India. J Earth Syst Sci 120:795–805
Acharya N, Chattopadhyay S, Kulkarni MA, Mohanty UC (2012) A neurocomputing approach to predict monsoon rainfall in monthly scale using SST anomaly as a predictor. Acta Geophys 60:260–279. doi:10.2478/s11600-011-0044-y
Acharya N, Singh A, Mohanty UC, Nair A, Chattopadhyay S (2013) Performance of general circulation models and their ensembles for the prediction of drought indices over India during summer monsoon. Nat Hazards 66:851–871
Balachandran S, Asokan R, Sridharan S (2006) Global surface temperature in relation to northeast monsoon rainfall over Tamil Nadu. J Earth Syst Sci 115(3):349–362. doi:10.1007/BF02702047
Chakraborty A, Krishnamurti TN (2009) Improving global model precipitation forecasts over India using downscaling and the FSU super-ensemble. Part II: seasonal climate. Mon Weather Rev 137:2736–2757
Chattopadhyay S (2007) Feed forward Artificial Neural Network model to predict the average summer-monsoon rainfall in India. Acta Geophys 55:369–382
Chattopadhyay S, Chattopadhyay G (2008) Comparative study among different neural net learning algorithms applied to rainfall time series. Meteorol Appl 15:273–280
Chattopadhyay G, Chattopadhyay S, Jain R (2010) Multivariate forecast of winter monsoon rainfall in India using SST anomaly as a predictor: neurocomputing and statistical approaches. Comptes Rendus Geosci 342:755–765
Gardner MW, Dorling SR (1998) Artificial neural networks (the multilayer perceptron): a review of applications in the atmospheric sciences. Atmos Environ 32:2627–2636
Goswami P, Kumar P (1997) Experimental annual forecast of all-india mean summer monsoon rainfall for 1997 using a neural network model. Curr Sci 72:781
Guhathakurta P, Rajeevan M, Thapliyal V (1999) Long rang forecasting Indian summer monsoon rainfall by a hybrid principal component neural network model. Meteorol Atmos Phys 71:255–266
Hsieh WW, Tang B (1998) Applying neural network models to prediction and data analysis in meteorology and oceanography. Bull Amer Meteor Soc 79(9):1855–1870
Huang GB (2003) Learning capability and storage capacity of two-hidden-layer feedforward networks. IEEE Trans Neural Netw 14(2):274–281
Huang GB, Qin-Yu Z, Chee-Kheong S (2006a) Extreme learning machine: theory and applications. Neurocomputing 70(1–3):489–501
Huang GB, Chen L, Siew CK (2006b) Universal approximation using incremental constructive feedforward networks with random hidden nodes. IEEE Trans Neural Netw 17(4):879–892
Huang GB, Li MB, Chen L, Siew CK (2008) Incremental extreme learning machine with fully complex hidden nodes. Neurocomputing 71(x):576–583
Kar SC, Acharya N, Mohanty UC, Kulkarni MA (2012) Skill of monthly rainfall forecasts over India using multi-model ensemble schemes. Int J Climatol 32:1271–1286. doi:10.1002/joc.2334
Krasnopolsky VM, Lin Y (2012) A neural network nonlinear multimodel ensemble to improve precipitation forecasts over continental US. Adv Meteorol. doi:10.1155/2012/649450
Kripalani RH, Kumar P (2004) Northeast monsoon rainfall variability over south peninsular India vis-`a-vis the Indian Ocean dipole mode. Int J Climatol 24:1267–1282
Krishnamurti TN, Mishra AK, Chakraborty A, Rajeevan M (2009) Improving global model precipitation forecasts over India using downscaling and the FSU superensemble. Part I: 1–5-day forecasts. Mon Weather Rev 137:2713–2735
Kumar P, Rupa, Kumar K, Rajeevan M, Sahai AK (2007) On the recent strengthening of the relationship between ENSO and northeast monsoon rainfall over south Asia. Clim Dyn 285:649–660
Kumar A, Mitra AK, Bohra AK, Iyengara GR, Durai VR (2011) Multi-model ensemble (MME) prediction of rainfall using neural networks during monsoon season in India. Meteorol Appl. doi:10.1002/met.254
Maier HR, Dandy GC (2000) Neural networks for the prediction and forecasting of water resources variables: a review of modelling issues and applications. Environ Model Softw 15:101–124
Naidu CV, Satyanarayana GC, Durgalakshmi K, Rao ML, Mounika GJ, Raju AD (2012) Changes in the frequencies of northeast monsoon rainy days in the global warming. Glob Planet Change 92–93:40–47
Nair A, Acharya N, Singh A, Mohanty UC, Panda TC (2013a) On the predictability of northeast monsoon rainfall over South Peninsular India in general circulation models. Pure Appl Geophys. doi:10.1007/s00024-012-0633-y
Nair A, Mohanty UC, Acharya N (2013b) Monthly prediction of rainfall over India and its homogeneous zone: a supervised principal component regression approach on global climate models. Theor Appl Climatol. doi:10.1007/s00704-012-0660-8
Nayagam LR, Janardanan R, Ram Mohan HS (2009) Variability and teleconnectivity of northeast monsoon rainfall over India. Glob Planet Change 69:225–231
Raj YEA (1998) A scheme for advance prediction of northeast monsoon rainfall of Tamil Nadu. Mausam 49:247–254
Raj YEA, Sen PN, Jamadar SM (1993) Outlook on northeast monsoon rainfall of Tamil Nadu. Mausam 44:19–22
Rajeevan M, Bhate J, Kale J, Lal B (2006) High resolution daily gridded rainfall data for the Indian region: analysis of break and active monsoon spells. Curr Sci 91:296–306
Rajeevan M, Unnikrishnan CK, Bhate J, Kumar KN, Sreekala PP (2012) Northeast monsoon over India: variability and prediction. Meteorol Appl 19:226–236
Rajesh R, Siva Prakash J (2011) Extreme learning machines: a review and state-of-the-art. Int J Wisdom Comput 1(1):35
Rao GN (1999) Variations of the SO Relationship with summer and winter monsoon rainfall over India: 1872–1993. J Clim 12:3486–3495
Sahai AK, Soman MK, Satyan V (2000) All India summer monsoon rainfall prediction using an artficial neural network. Clim Dyn 16:291–302
Selvaraj RS, Aditya R (2011) Statistical method of predicting the northeast rainfall of Tamil Nadu. Univers J Environ Res Technol 1(4):557–559
Singh A, Acharya N, Mohanty UC, Mishra G (2013) Performance of multi model canonical correlation analysis (MMCCA) for prediction of Indian summer monsoon rainfall using GCMs output. Comptes Rendus Geosci 345:62–72
Sreekala PP, Vijaya, Bhaskara Rao S, Rajeevan M (2012) Northeast monsoon rainfall variability over south peninsular India and its teleconnections. Theor Appl Climatol 108:73–83. doi:10.1007/s00704-011-0513-x
Tamura S, Tateishi M (1997) Capabilities of a four-layered feedforward neural network: four layers versus three. IEEE Trans Neural Netw 8(2):251–255
Venkatesan C, Raskar SD, Tambe SS, Kulkarni BD, Keshavamurty RN (1997) Prediction of all India summer monsoon rainfall using error-back-propagation neural networks. Meteorol Atmos Phys 62:225–240
Wilks DS (2006) Statistical methods in atmospheric sciences. Elsevier Inc, Second Edition
Willmott CJ (1982) Some comments on the evaluation of model performance. Bull Am Meteorol Soc 63:1309–1313
WMO (2002) Standardised verification system (SVS) for long-range forecasts (LRF). New attachment II-9 to the manual on the GDPS.Vol 1 WMO-No 485:24
Zubair L (2002) El Nin˜o–Southern Oscillation influences on rice production in Sri Lanka. Int J Climatol 22:242–250
Zubair L, Ropelewski CF (2006) The strengthening relationship between ENSO and northeast monsoon rainfall over Sri Lanka and southern India. J Clim 19:1567–1575
Acknowledgments
The study was conducted as part of a research project entitled ‘Development and Application of Extended Range Weather Forecasting System for Climate Risk Management in Agriculture’, sponsored by the Department of Agriculture and Cooperation, Government of India. Gridded rainfall data have been obtained from India Meteorological Department. We thank the IRI modeling and prediction group (USA) led by D. Dewitt for making six of their GCM-based seasonal forecasting systems available to us. The computing for GCM simulations made by IRI was partially sponsored by a grant from the NCAR Climate System Laboratory (CSL) program to the IRI. The IRI represents a cooperative agreement between the US National Oceanic and Atmospheric Administration (NOAA) Office of Global Programs and Columbia University. Sincere thanks are due to the two anonymous reviewers for constructive suggestions to enhance the quality of the manuscript.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Acharya, N., Shrivastava, N.A., Panigrahi, B.K. et al. Development of an artificial neural network based multi-model ensemble to estimate the northeast monsoon rainfall over south peninsular India: an application of extreme learning machine. Clim Dyn 43, 1303–1310 (2014). https://doi.org/10.1007/s00382-013-1942-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00382-013-1942-2