Application of Model of the Open Exploited Population to Assessment of the Local Stocks

Abstract

The regression methods are shown not to allow assessing an open local stock as in the case of the Leslie and De Lury classic models. To solve this problem, a method based on Kalman filter is suggested. Besides, there is given a description of some methodical weak points of De Lury model, which make it less preferable regarding to Leslie's model. This work presents the Leslie's Generalized Model with Kalman filter (LGM KF), which is aimed to reconstruct a stock dynamics during fishery using the temporary series of catches on local areas in the presence of migratory flows and neglected catch.