How to model marine reserves ?

TL;DR

This paper compares two models of marine reserves based on the Schaefer-Clark bioeconomic framework, highlighting how different assumptions lead to varied properties and outcomes in resource management.

Contribution

It provides a comparative analysis of two existing models of marine reserves, emphasizing the impact of their underlying assumptions on their properties.

Findings

Different model assumptions lead to significantly different reserve properties.

Variations of the Schaefer-Clark model can produce diverse management outcomes.

The analysis clarifies the implications of modeling choices in marine reserve design.

Abstract

The safeguarding of resources is one of the principal subjects of halieutics studies. Among the solutions proposed to avert the disappearance of species, the setting in place of no take reserves is often mentioned. Most work on this subject, theoretical as well as applied, was undertaken in recent years. In this paper, we seek to compare two different models presented in existing literature by highlighting their underlying assumptions. Both models were derived from what is often referred to as the "model of Schaefer-Clark" (reference to the work of the last author on Mathematical Bioeconomics : Clark [7]). We show that various variations of this model lead to properties that can be very different.