Non linear growth model approach for estimation of compound growth rate of the area and production of potato & onion crops in Haryana

Nonlinear growth models are widely used to study the growth pattern of various biological entities. We require initial values for different iterative procedures to get the final estimates of coefficients. These are usually taken up by visualizing the data, results from previous experiments, or a close guess. In this study, an attempt had made to figure out the initial values of coefficients of nonlinear growth models. Further, the compound annual growth rate (CAGR) had computed for the area and production of Potato and Onion crops in Haryana from 1992–93 to 2018–19. The idea of growth rate helps the policymakers in the formulation and implementation of crop-specific agriculture schemes. The models used for these purposes were Logistic, Gompertz, and Monomolecular. The initial values for different models had obtained using the method of three selected points, the method of partial sums, and Yule’s method with the help of R-Studio software. The SPSS software was used to get the final parameters of the above models using the Levenberg-Marquardt algorithm. The Monomolecular model had the best model for the area and production of potato and Onion. The acreage and production of Potato recorded an average CAGR of 3.94% and 6.25%, respectively, while, Onion had a mean CAGR of 8.63% and 10.43% for its area and production, respectively.