Forecasting of growth rates of wheat yield of Uttar Pradesh through non-linear growth models
Abstract views: 312 / PDF downloads: 98
https://doi.org/10.56093/ijas.v84i7.42005
Keywords:
Forecasting, Gauss Newton method, Goodness of fit, Non-linear growth models, Nonlinear growth rate, Randomness, Theil statisticAbstract
Wheat production in India is about 70 million tonnes per year which counts for approximately 12 per cent of world’s production. Being the second largest in population, it is also the second largest in wheat consumption after China, with a huge and growing wheat demand. Major wheat growing states in India are Uttar Pradesh, Punjab, Haryana, Rajasthan, Madhya Pradesh, Gujarat and Bihar. All of north is replenished with wheat cultivation. Uttar Pradesh, the largest wheat growing region of the country, produces around 28 million tonnes of wheat and Bihar produces around 5 million tonnes. The usual parametric approach for growth rate analysis is to assume multiplicative error in the underlying nonlinear geometric model and then fit the linearized model by ‘method of least squares'. This paper deals with a critical study of wheat yield of Uttar Pradesh with a non-linear approach. The available data of rice during different years is taken into consideration and different statistical models are fitted for that. The time series data on annual yield of wheat in UP from 1970-2010 were collected from various sources. Growth rates are computed through non-linear models, viz. Logistic, Gompertz and Monomolecular models. Different nonlinear procedures such as Gauss-Newton Method, Steepest-Descent Method, Levenberg-Merquadt Technique and Do Not Use Derivative (DUD) Method were used in this study to estimate the nonlinear growth rates. The results showed that logistic model performed better followed by Gompertz and monomolecular.
Downloads
References
Chandran K P and Prajneshu. 2004. Computation of growth rates in agriculture: Nonparametric regression approach. Journal of the Indian Society of Agricultural Statistics 57: 382–92.
Dey A K. 1975. Rates of growth of agriculture and industry. Economic and Political Weekly 10 (25&26): A26–A30.
Draper N R and Smith H. 1998. Applied Regression Analysis, 3rd Edn. John Wiley & Sons, New York, USA. DOI: https://doi.org/10.1002/9781118625590
Prajneshu and Chandran K P. 2005. Computation of compound growth rates in agriculture: Revisited. Agricultural Economics Research Review 18 July-December: 317–32.
Downloads
Submitted
Published
Issue
Section
License
Copyright (c) 2014 The Indian Journal of Agricultural Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The copyright of the articles published in The Indian Journal of Agricultural Sciences is vested with the Indian Council of Agricultural Research, which reserves the right to enter into any agreement with any organization in India or abroad, for reprography, photocopying, storage and dissemination of information. The Council has no objection to using the material, provided the information is not being utilized for commercial purposes and wherever the information is being used, proper credit is given to ICAR.