Application of generalized discrete logistic model for fitting of pine looper moth time series: Feasible sets and estimations of model parameters

New approach to estimation of ecological model parameters is considered and applied to analysis of wellknown pine looper moth time series (Klomp, 1966). Within the framework of approach it is assumed that before constructing and minimizing of loss-function basic requirements to model and to deviations between empirical and theoretical (model) datasets must be formulated. After that respective statistical criterions must be determined, and with the help of these criterions structure of feasible set in space of model parameters (where these criterions are satisfied) must be obtained. Structures of feasible sets were determined for generalized discrete logistic model with known datasets of pine looper moth population dynamics. Results were compared with estimations obtained with Least Square Method.