Abstract

We analyze the possible impacts of pollution on a fishery by means of a dynamical systems theory approach. The proposed model presupposes that activities stimulating economic growth also cause higher emissions that remediate or accumulate in the oceans. The density of pollution is assumed to affect the fishery negatively by reducing biological growth potential and decreasing marginal willingness to pay for the fish in the market. Additionally, economic growth increases the general income and may also increase the demand for fish. We show that the modelling framework permits a unique stable equilibrium state in the regime of moderate values of the emission-remediation ratio. We also investigate how the ecological and market impacts alter both the steady state and dynamics of an open access fishery.

Highlights

  • Human activities cause a large variety of wastes that are introduced into the marine environment

  • The economic growth is assumed to increase the general income, which may increase the willingness of consumers to buy fish

  • In the demand function we investigate the possibility that pollution may reduce consumers’ marginal willingness to pay for the fish, either because the fish quality is reduced or at least consumers believe that pollution is harming its quality

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Summary

Introduction

Human activities cause a large variety of wastes that are introduced into the marine environment. We model the possible ecological and market effects of pollution and economic growth on a fishery, using a dynamical systems theoretical approach. We assume exogenous economic growth together with the capacity of the marine environment to self-clean This part of the model is inspired by discussions in Haavelmo (1971) and Flaaten (2018). The second part of the model captures both the biological and the economic impacts of growth and pollution on a commercial fishery. This element of the model is an extended version of standard dynamic fishery models The second part is a modified fishery model which includes biological and economic impacts from economic growth and pollution (Section 2.2)

Economic growth and pollution
The fishery
Scaling and general properties of the model
Simplified models
The growth and the pollution part of the model The 2D subsystem
Equilibrium points of the model
Stability of the equilibrium points
Notice that the Jacobian of
Special cases of the model and numerical examples
Concluding remarks
Main results
Possible extensions

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