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A Model of Regulated Open Access Resource Use

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REGULATED OPEN ACCESS RESOURCE USE 3<br />

important to highlight that this is a predictive rather than a normative model; we<br />

are interested in modeling and understanding the implications <strong>of</strong> structures which<br />

exist in real world setting rather than addressing questions about whether they are<br />

efficient or which institutions might be optimal. The model developed elevates the<br />

role <strong>of</strong> the regulatory structure to one on par with consideration <strong>of</strong> industry<br />

behavior and biological dynamics. We treat the regulatory sector as rational and<br />

purposeful Ž although not necessarily efficient ., so that regulatory behavior and<br />

industry behavior jointly and endogenously determine the character <strong>of</strong> the fishery<br />

in question. We also view the process <strong>of</strong> regulatorindustry interaction as dynamic<br />

so that when internal and external conditions change, the regulatory sector<br />

responds rather than being considered simply exogenous. In the next section the<br />

conceptual model is discussed and in Section 3 this model is used to generate some<br />

hypotheses about regulated open access fisheries. Section 4 discusses results <strong>of</strong> an<br />

empirical application <strong>of</strong> the model and the concluding section summarizes the<br />

differences between our model <strong>of</strong> regulated open access use and the more widely<br />

used pure open access model.<br />

2. A MODEL OF A REGULATED OPEN ACCESS FISHERY<br />

The model developed here has three fundamental components. First, in the<br />

industry component, it is assumed that the fishing industry commits a given amount<br />

<strong>of</strong> fishing capacity each season, based upon anticipated prices, costs, biomass level,<br />

and Ž importantly.<br />

the regulations set by the regulatory agency. Second, in the<br />

regulatory component, it is assumed that the regulatory agency selects regulations,<br />

based upon specific biologically oriented goals and the anticipated fishing capacity<br />

level <strong>of</strong> the industry. Thus there is a joint equilibrium established between the<br />

industry and the regulatory sector. Finally, in the biological component, we assume<br />

that the biomass evolves between seasons in a manner dependent upon how much<br />

has been harvested each season and the initial biomass level. The fishery is<br />

characterized by an equilibrium consisting <strong>of</strong> fishing capacity and regulation levels<br />

determined endogenously, and the biomass level. 3 The motivation for the specific<br />

characterizations <strong>of</strong> these components are as follows.<br />

2.1. Fishermen’s Behaior<br />

H. S. Gordon’s model <strong>of</strong> rent dissipation is a useful point <strong>of</strong> departure for<br />

considering industry behavior. We assume that fishermen behave as Gordon<br />

suggested, that is, they enter in response to rents and entry proceeds until effort is<br />

earning its opportunity cost. Rents will be assumed to be the difference between<br />

industry revenues and industry costs, defined over a given fishing season. Revenues<br />

are defined as total seasonal harvest multiplied by an exvessel price P per pound.<br />

Assume that there is an instantaneous Schaefer type harvest function defined by<br />

hŽ t. qEXŽ t ., Ž 1.<br />

3<br />

For a more complete exposition <strong>of</strong> this model, see Homans 13 . An earlier attempt to model<br />

regulation in fisheries as endogenous is in Wilen 24 .

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