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Parameter Estimation of Lotka-Volterra Model : A Two Step Method

The deterministic power law logistic model is used to describe density-dependent population growth for cases when ordinary logistic model is found to be insufficient. This paper estimates the parameters of stochastic power law logistic model specifically the Lotka-Volterra model by employing the Two-step approach. The Bayesian approach is implemented in the first-step of estimating the regression spline parameters. Combining the existing and proposed nonparametric criterion, the structural parameters of SDE are estimated in the second-step. Results indicate high percentage of accuracy of the estimated diffusion parameter of LotkaVolterra model supporting the adequacy of the proposed criterion as an alternative to the classical methods.