A simple nonlinear model for the exploitation of renewable economic resources. (English) Zbl 0679.90020
Summary: We examine the generalized growth model of L. von Bertalanffy [“Principles and theory of growth in fundamental and malignant growth”, (W. W. Nowinski, ed.), 137-259 (New York 1960)] as a basis of bioeconomic models of renewable resource exploitation. It is shown that the model has a built-in protective mechanism that may be utilized to enhance conservation of the resource population in question. The model is also used to predict the dynamics of the harvesting process involving common- property renewable resources. It is found that a much stronger economic condition than that obtained with the standard logistic is needed for biological overexploitation to occur.
MSC:
| 91B76 | Environmental economics (natural resource models, harvesting, pollution, etc.) |
| 91B62 | Economic growth models |
| 92D25 | Population dynamics (general) |
| 92D40 | Ecology |
| 92B05 | General biology and biomathematics |
Keywords:
bioeconomic models; renewable resource exploitation; built-in protective mechanism; common-propertyReferences:
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