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Equilibria in a two-species fishery
Michèle Breton1, Ilyass Dahmouni1, Georges Zaccour1
1GERAD, HEC Montréal, Canada.
Mathematical Biosciences
|January 19, 2019
Summary
This study analyzes two-species fishery models with varying species interactions. Cooperation benefits increase with group size, but coordinating fishing efforts can harm other species.
Area of Science:
- Ecology
- Environmental Economics
- Mathematical Biology
Background:
- Fisheries management involves complex ecological and economic factors.
- Two-species interactions (competitive, symbiotic, prey-predator) influence harvesting dynamics.
- Human harvesting introduces strategic considerations for fisherpersons.
Purpose of the Study:
- To analyze equilibrium harvesting strategies in a two-species fishery model.
- To compare outcomes under different cooperation and noncooperation scenarios.
- To investigate the economic and biological impacts of inter-species coordination.
Main Methods:
- Development of a two-species fishery model with diverse biological interactions.
- Characterization of equilibrium harvesting strategies for competing fisherpersons.
- Analysis of steady-state stocks and discounted utilities under various game theory modes.
- Comparison of cooperative and noncooperative harvesting behaviors.
Main Results:
- Equilibrium harvesting involves agents taking a proportion of available stock each period.
- Cooperation dividends increase with the number of agents in a fishing group.
- Coordination among fishers of one species can negatively impact the other species, both biologically and economically.
Conclusions:
- Cooperative fishing strategies can enhance benefits, especially in larger groups.
- Inter-species coordination in fisheries requires careful consideration due to potential negative externalities.
- Understanding species interactions is crucial for sustainable and profitable fishery management.
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