Skip to main navigation menu Skip to main content Skip to site footer

Research Articles

Vol. 10 No. 2 (2023)

Statistical Modeling for Forecasting Fertilizer Consumption in India

DOI
https://doi.org/10.14719/pst.1982
Submitted
6 July 2022
Published
22-02-2023 — Updated on 01-04-2023
Versions

Abstract

Fertilizers have contributed significantly to increased agricultural yields, particularly for cereal crops and they will still be an important part of the science-based farming that is needed to feed the world's growing population. Fertilizers replenish the soil nutrients lost by the harvested crops, promote the use of high-yielding cultivars and boost biomass in tropical soils that are deficient in nutrients. In this study, data on fertilizer consumption in India was gathered from Agricultural Statistics at a Glance from 1950-51 to 2020-21 and utilized to fit the ARIMA model and forecast future usage. Forecasting has been done using the Box-Jenkins ARIMA approach. The ARIMA model is the most popular and widely applied forecasting model for time series data. The data was calculated using autocorrelation and partial autocorrelation functions. R programming software was used to estimate model parameters. The performance of the fitted model was evaluated using various goodness of fit criteria, such as AIC, BIC and MAPE. Empirical results revealed that the ARIMA (1,2,1) model was best suited to forecasting India's future total fertilizer use. Similarly, the ARIMA model was fitted for nitrogen, phosphorus, and potassium consumption in India independently. Forecasts from 2021-22 to 2030-31 are calculated using the chosen model. By 2030-31, total fertilizer use is predicted to reach 32,058.55 thousand tonnes. Policymakers should preferably base their judgments on reliable forecasts in order to tighten policies and achieve outcomes. Predicting future events using an appropriate time series model will assist policymakers, marketing strategies in making decisions related to export/ import and developing appropriate fertilizer consumption strategies.

References

  1. FAO. World Agriculture towards 2030/2050: The 2012 Revision; 2012. https://www.fao.org/3/ap106e/ap106e.pdf
  2. Smil V. Nitrogen and food production: Proteins for human diets. Ambio; (cited in FAO, 2006); 2002;31:126-13. https://doi.org/10.1579/0044-7447-31.2.126
  3. Tomich T, Kilby P, Johnson, B. Transforming Agrarian Economies: Opportunities Seized, Opportunities Missed. Ithaca, NY: Cornell University Press; 1995. https://doi.org/10.7591/9781501717499
  4. Hopper W. Indian Agriculture and Fertilizer: An Outsider’s Observations. Keynote address to the FAI Seminar on Emerging Scenario in Fertilizer and Agriculture: Global Dimensions, New Delhi, India; 1993.
  5. FAO (Food and Agriculture Organization of the UN). Guide to Efficient Plant Nutrition Management. Rome, Italy; 1998.
  6. Bumb B. Global Fertilizer Perspective, 1980–2000: The Challenges in Structural Transformation. Technical Bulletin T-42. Muscle Shoals, AL: International Fertilizer Development Center; 1995.
  7. Box GEP, Jenkins GM. Time series Analysis, Forecasting and Control. San Francisco, Holden Day, California, USA; 1976.
  8. Brown RG. Statistical Forecasting for Inventory Control. McGraw Hill Book Co., Inc., NY, USA; 1959.
  9. Ljung GM, Box GEP. On a measure of lack of fit in time series models. Biometrika. 1978; 65:67-72. https://doi.org/10.1093/biomet/65.2.297
  10. Pindyck RS, Rubinfeld DL. Econometric Models and Economic Forecasts. McGraw Hill Book Co. Inc., NY, USA;1981.
  11. Badmus MA, Ariyo OS. Forecasting cultivated areas and production of maize in Nigeria using ARIMA model. Asian J Agric Sci. 2011;3(3):171-76.
  12. Falak S, Eatzaz A. Forecasting Wheat production in Pakistan. Lahore J Econ. 2008;3(1):57-85. https://doi.org/10.35536/lje.2008.v13.i1.a3
  13. Muhammed F, Siddique M, Bashir M, Ahamed S. Forecasting rice production in Pakistan using ARIMA models. J Anim Plant Sci. 1992;2:27-31.
  14. Shabur SA, Haque ME. Analysis of rice in Mymensingh town market pattern and forecasting. Bang J Agric Econ. 1993;16:130-33.
  15. Sohail A, Sarwar A, Kamran M. Forecasting total food grains in Pakistan. J Eng Appl Sci. 1994;13:140-46.
  16. Slutsky E. The Summation of Random Causes as a Source of Cyclic Processes. Problems of Economic Conditions, 1927;3(1):
  17. Wold HOA. A Study of the Analysis of Stationary Time Series. (2nd ed. 1954). Uppsala: Almqvist and Wiksells. 1938.
  18. Yule GU. Why do we sometimes get nonsense-correlations between time-series? A study in sampling and the nature of time-series. Journal of the Royal Statistical Society.1926;89(1): 1-63. https://doi.org/10.2307/2341482
  19. Kathayat B, Dixit AK. Paddy price forecasting in India using ARIMA model. Journal of Crop and Weed. 2021;17(1):48-55. https://doi.org/10.22271/09746315.2021.v17.i1.1405
  20. Mishra P, Yonar A, Yonar H, Binita K, Abotaleb M. State of the art in total pulse production in major states of India using ARIMA techniques. Current Research in Food Science. 2021;4:800-06. https://doi.org/10.1016/j.crfs.2021.10.009
  21. Mao L, Huang Y, Zhang X, Li S, Huang X. ARIMA model forecasting analysis of the prices of multiple vegetables under the impact of the COVID-19. PLos ONE.2022;17(7):1-26. https://doi.org/10.1371/journal.pone.0271594
  22. Kannan S, Karuppasamy KM. Forecasting for agricultural production usisng ARIMA model. PalArch’s Journal of Archaeology of Egypt/Egyptology. 2020;17(9):5939-49.

Downloads

Download data is not yet available.