Non-linear dynamics of population and natural resources: The emergence of different patterns of development

Model Description

This model explores the long-term dynamic interaction between the exploitation of natural resources and population growth. This is a variant of Brander and Taylor (1998). The reference article, D'Alessandro (2007), gives the following description of the model. "Two new assumptions are introduced: i) the disaggregation of the ecological complex into two different resources; ii) irreversibility —namely, an inexorable tendency to exhaustion when the renewable resource stock is below a certain threshold". Unlike the model here, Brander and Taylor (1998) and other variants assume one ecological complex and no critical depensation. In such cases, the long-term equilibrium always approaches a positive population level and some level of resource due to resource regeneration. In reality however, a resource stock (i.e., trees in Easter Island)  can completely disappear while some positive population level is still lingering. The model presented here reflects this reality by introducing the two assumptions above".



D’Alessandro, S. (2007). Non-Linear Dynamics of Population and Natural Resources-The Emergence of Di?erent Patterns of Development. Ecological Economics, 62(3), 47 3 – 481.

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