魚群の大きさの変動を表すモデルのパラメ-タ推定

概要

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This paper deals with mathematical modeling of fish behavior in a water tank. The time series data are obtained by sampling the video image data recorded in a water tank experi-ment. The model presented in our earlier papers describes the behavior of each individual in a school. Then, it is applicable to the case of small school. In order to construct an aggregation model for large school, our investigation is based on the following assumption: The behavior of fish school can be decomposed into two components. One is the motion of a representative of the school. The other is the variation of the school size. In this paper, we consider a model for describing variation of the school size. For this purpose, a water tank experiment is made by using twenty bitterling. An autoregressive model is presented for describing this phenomenon. The model order is determined by minimizing the AIC. The unknown parameters are estimated by applying the Burg algorithm. The validity of the model is examined by a residual whiteness test and a simulation study.
日本水産學會の論文