Viability analysis of multi-fishery

Area of Science:

• Fisheries Science
• Mathematical Ecology
• Resource Management

Background:

• Fisheries management faces challenges in balancing economic demands with ecological sustainability.
• Existing models often struggle to integrate biological stock preservation and fleet economic viability.
• The need for a robust framework to ensure long-term resource exploitation and ecosystem health is critical.

Purpose of the Study:

• To define a viability domain for a fisheries management model.
• To incorporate both biological and economic constraints into a unified management framework.
• To ensure the long-term sustainability of fish stocks and the economic viability of fishing fleets.

Main Methods:

• Application of viability kernel theory from mathematical control theory.
• Development of a dynamic model incorporating biological and economic constraints.
• Analysis of the model to identify the set of states ensuring system persistence.

Main Results:

• A specific viability domain was identified through mathematical analysis.
• This domain ensures the simultaneous satisfaction of biological stock perennity and minimum fleet income.
• The model demonstrates that sustainable exploitation is achievable under defined conditions.

Conclusions:

• The viability kernel approach provides a robust method for fisheries management.
• Integrating biological and economic objectives within a viability framework is feasible.
• This research offers a pathway to simultaneously achieve ecological sustainability and economic profitability in fisheries.