Discussion Papers, Department of Business and Management Science, Norwegian School of Economics (NHH)
Fisheries Management under Irreversible Investment: Does Stochasticity Matter?
(), Leif K. Sandal
(), Sturla F. Kvamsdal
() and Stein I. Steinshamn
Abstract: We present a continuous, nonlinear, stochastic and dynamic
model for capital investment in the exploitation of a renewable resource.
Both the resource stock and capital stock are treated as state variables.
The resource owner controls fishing effort and the investment rate in an
optimal way. Biological stock growth and capital depreciation rate are
stochastic in the model. We find that the stochastic resource should be
managed conservatively. The capital utilization rate is found to be a
non-increasing function of stochasticity. Investment could be either higher
or lower depending on the interaction between the capital and the resource
stocks. In general a stochastic capital depreciation rate has only weak
influence on optimal management. In the long run, the steady state harvest
for a stochastic resource becomes lower than the deterministic level.
Keywords: Physical capital; irreversible investment; stochastic growth; long-term sustainable optimal; (follow links to similar papers)
JEL-Codes: Q20; Q22; (follow links to similar papers)
29 pages, November 4, 2011
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