Stochastic Differential Equation Models of Fisheries in an Uncertain World: Extinction Probabilities, Optimal Fishing Effort, and Parameter Estimation
DOI: 10.1007/978-3-642-93287-8_28
关键词: Stochastic differential equation 、 Econometrics 、 Fishing 、 Population size 、 Geography 、 Extinction probability 、 Gompertz function 、 Constant (mathematics) 、 Noise 、 Statistics 、 Estimation theory
摘要: Logistic and Gompertz models of population growth, with, an extra terato allow for fishing under constant quotas, effort, mixed policies, are considered Stochastic fluctuations environmental conditions added as noise terms. Ultimate extinction occurs with probability one quotas or but not moderate effort policies. For we show that the efforts maximize expected yield close to ones obtained in deterministic if small. Conditions on order control size dropping below some critical threshold studied. Maximum likelihood techniques parameter estimation based data developed models.
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