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Great fish war with moratorium
Ilyass Dahmouni1, Elena M Parilina2, Georges Zaccour3
1Fisheries Economics Research Unit, Institute for the Oceans and Fisheries, University of British Columbia, Vancouver, BC V6T 1Z4, Canada.
Mathematical Biosciences
|November 14, 2022
Summary
This study analyzes a fish war model with fishing moratoriums. It identifies conditions to avoid moratoriums and determines optimal durations when necessary, proposing strategies for sustainable fishing.
Area of Science:
- Ecology
- Environmental Economics
- Game Theory
Background:
- The fish war model examines resource exploitation dynamics.
- Regulators implement fishing moratoriums to prevent stock collapse.
- Discrete-time models are crucial for understanding dynamic resource management.
Purpose of the Study:
- To analyze a discrete-time fish war model with regulatory moratoriums.
- To determine conditions for avoiding fishing moratoriums.
- To optimize moratorium duration and propose moratorium-free strategies.
Main Methods:
- Discrete-time modeling of fish stock dynamics.
- Game-theoretic analysis of cooperative and noncooperative play.
- Derivation of conditions for moratorium avoidance and optimal duration.
- Development of moratorium-free strategy profiles.
Main Results:
- Conditions for avoiding fishing moratoriums were established.
- Optimal moratorium durations were calculated when avoidance is impossible.
- A moratorium-free strategy profile was proposed, aligning with Nash equilibrium under certain conditions.
Conclusions:
- Sustainable fishing management requires careful parameter consideration.
- Strategic planning can mitigate or eliminate the need for fishing moratoriums.
- The proposed strategies offer a path towards stable fish stocks and economic viability.
