1 research outputs found
Mathematical and computational approaches for stochastic control of river environment and ecology: from fisheries viewpoint
We present a modern stochastic control framework for dynamic optimization of
river environment and ecology. We focus on a fisheries problem in Japan, and
show several examples of simplified optimal control problems of stochastic
differential equations modeling fishery resource dynamics, reservoir water
balance dynamics, benthic algae dynamics, and sediment storage dynamics. These
problems concern different phenomena with each other, but they all reduce to
solving degenerate parabolic or elliptic equations. Optimal controls and value
functions of these problems are computed using finite difference schemes.
Finally, we present a higher-dimensional problem of controlling a dam-reservoir
system using a semi-Lagrangian discretization on sparse grids. Our contribution
shows the state-of-art of modeling, analysis, and computation of stochastic
control in environmental engineering and science, and related research areas.Comment: Accepted as a chapter to a book serie