Sustainicum Collection

Consus The aim of the project is to establish a regional science-society network for sustainability innovations in Albania and Kosovo in order to strengthen the connection and collaboration of institutions in the field of higher education, research and practice.

Resource facts

  • Less than 5 students
  • Up to 3 lecture units
  • Internet connection necessary
  • English, German

Resource Description

Time-delayed logistic growth(Resource ID: 78)

This building block handles growth beyond limits. A growing quantity exceeds its limits temporarily only to collapse back under them and ultimately to fluctuate (oscillate) around these lmits.

This building block is part of a six-block series from the SUSTAINICUM collection:

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:

Learning Outcomes
Students should understand and learn to work with the model presented and be capable of relating it to natural, social, and technological realities.
Relevance for Sustainability
The topics dealt with are directly relevant to understanding population growth in limited ecosystems.
Sustainability criteria
  • Related to global challenges / needs
Preparation Efforts
Funded by
Funded by the Austrian Federal Ministry of Science and Research within the framework of the call "Projekt MINT-Massenf├Ącher" (2011/12)

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Hans Peter Aubauer


Helga Kromp-Kolb
This teaching resource is allocated to following University:
BOKU - University of Natural Resources and Life Sciences Vienna
Center for Global Change and Sustainability


Creative Commons

Pillars of Sustainability

  • environment

Teaching Tools & Methods

  • Written material
  • Simulation program
  • Simulation