Impulse and Singular Stochastic Control Approaches for Management of Fish-Eating Bird Population
Stochastic optimization serves as a central tool for effective population management. We present an impulse control model and a related singular control model for finding the cost-effective and sustainable population management policies of fish-eating birds, predators of fishery resources. The impulse control model considers the cost proportional to the amount of the killed bird and the fixed cost, while singular counterpart considers only the proportional cost. Their optimal controls are discussed from both qualitative and quantitative viewpoints.
KeywordsStochastic optimization Impulse control Singular control Threshold-type population management
This paper is partly funded by grants-in-aid for scientific research No. 16KT0018, No. 17J09125, and No. 17K15345 from the Japan Society for the Promotion of Science (JSPS) and Applied Ecology Research Grant No. 2016-02 from Water Resources Environment Center in Japan. The authors thank officers of Hirose Fisheries Cooperatives for their useful comments and suggestions.
- 3.Kameda, K.: Population increase of the Great Cormorant Phalacrocorax carbo and measures to reduce its damage to the fisheries and forests of Lake Biwa. In: Lake Biwa: Interactions Between Nature and People, pp. 491–496. Springer (2012)Google Scholar
- 6.Øksendal, B.: Stochastic Differential Equations. Springer (2003)Google Scholar
- 7.Pham, H.: Continuous-Time Stochastic Control and Optimization with Financial Applications. Springer Science & Business Media. (2009)Google Scholar
- 8.Yaegashi, Y., Yoshioka, H., Unami, K., Fujihara, M.: Optimal policy of predator suppression for sustainable inland fishery management. In: 12th SDEWES Conference Archived Paper, 0309, p. 11 (2017)Google Scholar