抄録
This paper verifies a control-theoretic approach for assessing upstream migration of individual fishes in 1-D open channels. This approach uses a solution to a Hamilton-Jacobi-Bellman equation (HJBE) for the optimal swimming velocity of individual fishes as the minimizer of the cost to migrate upstream. With the help of an analytically derived formula from the solution to the HJBE, the cost function, which is the core of the control-theoretic approach, is identified from the observed data sets of swimming speed of migratory fishes in laboratorial and natural open channels. Both advantages and disadvantages of using the identified cost function are discussed and its sensitivity analysis is carried out. Applicability of the presented mathematical model with the identified cost function to practical problems is also mentioned to indicate its potential applicability to practical problems.
