DESCRIPTION OF COURSES

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AS 570 STATISTICAL MODELLING                       (2L+1P) II
(Pre-requisite : AS 550)

Objective
This is an advanced course in Statistical Theory that aims at describing some advanced level topics in this area of research with a very strong potential of applications. This course also prepares students for undertaking research in the area of Mechanistic nonlinear growth models.

Theory

UNIT I
Empirical and mechanistic models. Nonlinear growth models: monomolecular, logistic, Gompertz, Richards. Applications in agriculture and fisheries.

UNIT II
Formulation of nonlinear statistical model. Estimation of parameters using iterative procedures, like Taylor’s , Steepest descent, Levenberg - Marquardt’s. Choice of initial values. Examination of residuals and adequacy of a model. Fitting of nonlinear statistical models using nonlinear estimation procedures and software packages.

UNIT III
Applications in plant growth and animal physiology. Two-species systems. Lotka-Volterra, Leslie- Gower and Holling-Tanner non-linear prey-predator models. Volterra’s principle and its applications. Gause competition model. Multi-species modelling.

UNIT IV
Compartmental modelling: first and second order input-output systems, Dynamics of a multivariable system.

Practicals
Fitting of mechanistic nonlinear models. Application of Schaefer and Fox nonlinear models, Fitting of compartmental models.

Suggested Readings