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Modelling and Forecasting of Cultivated Area and Production of Rice in India


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1 Gokhale Institute of Politics and Economics, Pune (M.S.), India
     

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In the present study, autoregressive integrated moving average (ARIMA) methodology has been applied for modeling and forecasting of yearly area and production of rice in India. Rice production data for the period of 1950-1951 to 2014-2015 of India were analyzed by time-series methods. Autocorrelation and partial autocorrelation functions have been estimated, which have led to the identification and construction of ARIMA models, suitable in explaining the time series and forecasting the future area and production.The diagnostic checking has shown that ARIMA (1, 0, 1) and ARIMA (0, 1, 1) is appropriate for rice area and production. The forecasts from 2015-2016 to 2024-2025 were calculated based on the selected model. The forecasting power of autoregressive integrated moving average model was used to forecast rice area and production for ten leading years. This projection is important as it helps to inform good policies with respect to relative production, price structure as well as consumption of rice in the country.

Keywords

ACF-Autocorrelation Function, ARIMA-Autoregressive Integrated Moving Average, PACF-Partial Autocorrelation Function, Rice, Trends.
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  • Bartlett, M.S. (1964). On the theoretical specification of sampling properties of autocorrelated time series. J. Roy. Stat. Soc., 8 : 27-41.
  • Box, G.E.P. and Jenkins, G. M. (1970). Time series analysis: Forecasting and control, Holden Day, San Francisco, CA.
  • Box, G.E.P. and Jenkins, G.M. (1976).Time series analysis: forecasting and control. Rev. Holden-Day, Ed. San Francisco.
  • Brockwell, P.J. and Davis, R.A. (1996). Introduction to time series and forecasting, Springer.
  • Brown, R.G. (1959). Statistical forecasting for inventory control. McGraw-Hill, NEW YORK, U.S.A.
  • Holt, C.C., Modigliani, F., Muth, J.F. and Simon, H.A. (1960). Planning, production, inventores and work force. Prentice Hall, Englewood Cliffs, NJ, USA.
  • Iqbal, N., Bakhsh, K., Maqbool, A. and Ahmad, A.S. (2005). Use of the ARIMA Model for forecasting wheat area and production in Pakistan. J. Agric. & Soc.Sci., 2:120-122.
  • Jambhulkar, N. N. (2013). Modeling of rice production in Punjab using ARIMA Model. Internat. J. Scientif. Res.,2(8):1-2.
  • Jenkins, G. M. and Watts, D.G. (1968).Spectral analysis and its application, Day, San Francisco, California, USA.
  • Kendall, M.G. and Stuart, A. (1966). The advanced theory of statistics. Vol. 3. Design and Analysis and Time-Series. Charles Griffin & Co. Ltd., LONDON, UNITED KINGDOM.
  • Ljunge, G.M. and Box, G.E.P. (1978). On a measure of lack of fit in time series models. Biometrika, 65: 67-72.
  • Makridakis, S., Anderson, A., Filds, R., Hibon, M., lewandowski, R., Newton, J., Parzen, E. and Winkler, R. (1982). The accuracy of extrapolation (time series) methods: Results of a forecasting competition, J. Forecasting Competition. J. Forecasting, 1: 111-53.
  • Meese, R. and Geweke, J.(1982). A comparison of autoregressive univariate forecasting procedures for macroeconomic time series. Manuscript, University of California,Berkeley, CA, USA.
  • Muhammad, F., Javed, M. S. and Bashir, M. (1992). Forecasting sugarcane production in Pakistan using ARIMA Models, Pakistan. J. Agric. Sci., 9 (1) : 31-36.
  • Padhan, P.C. (2012). Application of ARIMA model for forecasting agricultural productivity in India. J. Agric. & Soc. Sci., 8 : 50-56.
  • Paul, R.K., Panwar, S., Sarkar, S.K., Kumar, A. Singh, K.N. and Farooqi, S. (2013). Modelling and forecasting of meat exports from India. Agric. Econ. Res. Rev., 26 (2): 249-255.
  • Prabakaran, K., Sivapragasam, C., Jeevapriya, C. and Narmatha, A. (2013). Forecasting cultivated areas and production of wheat in India using ARIMA Model. Golden Research Thoughts, 3(3):1-7.
  • Prindycke, R.S. and Rubinfeld, D.L. (1981).Econometric models and economic forecasts, 2nd Ed. McGraw-Hill, NEW YORK, U.S.A.
  • Quenouille, M.H. (1949). Approximate tests of correlation in time-series. J. Roy. Stat. Soc., 11: 68-84.
  • Saeed, N., Saeed, A., Zakria, M. and Bajwa, T.M. (2000). Forecasting of wheat production in Pakistan using ARIMA models. Internat. J. Agric. & Biol., 4 : 352-353.
  • Sarika, Iquebal and Chattopadhyay, M. A. (2011). Modelling and forecasting of pigeonpea (Cajanus cajan) production using autoregressive integrated moving average methodology. Indian J. Agric.Sci.,81(6): 520-523.
  • Yule, G.U. (1926). Why do we sometimes get nonsence-corrleations between times series.A study in sampling and the nature of series. J. Roy. Stat. Soc., 89 : 1-69.
  • Yule, G.U. (1927). On a method of investigation periodicities in disturbed series, with specia; Reference To Wolfer’s Sunspot Number. Phill. Trans., 98 (A): 226: 267.

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  • Modelling and Forecasting of Cultivated Area and Production of Rice in India

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Authors

Prema Borkar
Gokhale Institute of Politics and Economics, Pune (M.S.), India

Abstract


In the present study, autoregressive integrated moving average (ARIMA) methodology has been applied for modeling and forecasting of yearly area and production of rice in India. Rice production data for the period of 1950-1951 to 2014-2015 of India were analyzed by time-series methods. Autocorrelation and partial autocorrelation functions have been estimated, which have led to the identification and construction of ARIMA models, suitable in explaining the time series and forecasting the future area and production.The diagnostic checking has shown that ARIMA (1, 0, 1) and ARIMA (0, 1, 1) is appropriate for rice area and production. The forecasts from 2015-2016 to 2024-2025 were calculated based on the selected model. The forecasting power of autoregressive integrated moving average model was used to forecast rice area and production for ten leading years. This projection is important as it helps to inform good policies with respect to relative production, price structure as well as consumption of rice in the country.

Keywords


ACF-Autocorrelation Function, ARIMA-Autoregressive Integrated Moving Average, PACF-Partial Autocorrelation Function, Rice, Trends.

References