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When observing how a curve behaves near a specific point along the horizontal axis, there are cases where the curve’s height increases or decreases without limit as the position draws closer to that point. The curve does not settle at any particular value; instead, the values grow more extreme—upward or downward—the nearer they get. No defined value exists exactly at that location, yet the surrounding behavior becomes more dramatic, indicating a sharp change in direction.The...
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What Do You Mean, 'Tipping Point'?

Egbert H van Nes1, Babak M S Arani1, Arie Staal1

  • 1Aquatic Ecology and Water Quality Management Group, Environmental Science Department, Wageningen University, Wageningen, The Netherlands.

Trends in Ecology & Evolution
|October 30, 2016
PubMed
Summary
This summary is machine-generated.

The scientific use of "tipping point" has surged. Researchers advocate for retaining its original, broader definition over narrow mathematical interpretations to better describe systems undergoing abrupt change.

Keywords:
alternative stable statesbasin of attractioncritical slowing downcritical transitionsresilience

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Area of Science:

  • Ecology
  • Climate Science
  • Systems Dynamics

Background:

  • The term 'tipping point' has seen a significant increase in scientific literature over the last decade.
  • Originally, it described a threshold beyond which a system undergoes rapid, irreversible change.
  • Existing mathematical definitions are considered too restrictive by some researchers.

Purpose of the Study:

  • To analyze the evolution and usage of the term 'tipping point' in scientific research.
  • To advocate for the adoption of a broader, original definition of tipping points.
  • To discuss the implications of narrow versus broad definitions in systems science.

Main Methods:

  • Literature review and analysis of term frequency in scientific publications.
  • Conceptual analysis of existing mathematical definitions of tipping points.
  • Argumentative synthesis of the benefits of retaining the original definition.

Main Results:

  • The frequency of the term 'tipping point' has dramatically increased in scientific publications over the past 10 years.
  • Several specific mathematical definitions have been proposed, but they may not capture the full phenomenon.
  • The original metaphorical definition remains valuable for describing complex system dynamics.

Conclusions:

  • The original, broader definition of 'tipping point' is more suitable for describing systems undergoing critical transitions.
  • Narrow mathematical definitions may limit the understanding and application of the tipping point concept.
  • Retaining the original definition facilitates a more comprehensive approach to studying abrupt environmental and social changes.