This building block is part of a six-block series from the SUSTAINICUM collection:
- From logistic growth to a turning point in global resource consumption- overview
- Logistic growth without time-delay
- Time-delayed logistic growth
- Optimal population
- Technological progress
- Turning point in global resource consumption
In this building block the various ways in which a quantity can grow beyond its limits are presented using examples from biology and analyzing human population growth. The mathematical model of the previous building block (logistic growth without limits) serves as a foundation. The model is modified here so that growth is not immediately reduced by its limits but rather after a time delay. An understanding of the affect of growth limits in nature is the main goal of this building block. These limits also apply to growth that is human induced and desired. Ordinarily the existence of limits are not taken seriously due to the fact that they only take effect in the future after a time delay. The significance of future events are often not appreciated (discredited). Furthermore, it is often other people that will be effected by future consequences of individual actions.
Suggested methods for applying this building block, one of the six-part series, in the classroom can be found in the overview building block: From logistic growth to resource turning point- Overview.
Building block materials: