Distributionally-Robust Optimization for Sustainable Exploitation of the Infinite-Dimensional Superposition of Affine Processes with an Application to Fish Migration

Yoshioka, Hidekazu; Tsujimura, Motoh; Yoshioka, Yumi

doi:10.1007/978-3-031-36030-5_45

Cited by 1 publication

(2 citation statements)

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“…It is essential to incorporate flocking and social interactions in fish migration. Further, the existing data and survey on the outflow population size suggests that it is highly random (see e.g., [49,52]). We thus introduce a self-exciting stochastic process to incorporate these.…”

Section: Outflow Populationmentioning

confidence: 99%

“…This strategy has the same motivation with the barrier-type strategy, aiming at sustaining the fish population in an anthropogenically disturbed river system by catching and transporting the outflow fish population. In practice, the threshold-type strategy can be achieved by casting a net at a location in the upstream side of a weir to capture the migrating fish in the outflow population (see, e.g., [52]).…”

Section: Harvesting By a Threshold-type Strategymentioning

confidence: 99%

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A jump-driven self-exciting stochastic fish migration model and its fisheries applications

Yoshioka

Yamazaki

2023

Preprint

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We introduce a stochastic continuous-time model via a self-exciting process with jumps to describe a seasonal migration event of diadromous fish. The dynamics of the stored population at a point in a river, waiting for their upward migration, increases by the inflow from the downstream/ocean and decreases by the outflow due to their upstream migration. The inflow is assumed to occur at a constant rate until an Erlang-distributed termination time. The outflow is modeled by a self-exciting jump process to incorporate the flocking and social interactions in fish migration. Harvested cases are also studied for fisheries applications. We derive the backward Kolmogorov equations and the associated finite-difference method to compute various performance indices including the mean migration period and　harvested populations. Detailed numerical and　sensitivity analysis are conducted to study the spring upstream migration of the diadromous Ayu Plecoglossus altivelis altivelis.

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Section: Outflow Populationmentioning

confidence: 99%

Section: Harvesting By a Threshold-type Strategymentioning

confidence: 99%