Generic Indicators for Loss of Resilience Before a Tipping Point Leading to Population Collapse

Lei Dai, Daan Vorselen, Kirill S. Korolev, Jeff Gore

Science · 2012 · 661 citations · 29 references

Concepts

TL;DR

Theory predicts that approaching catastrophic thresholds in natural systems leads to increasingly slow recovery from perturbations, a phenomenon known as critical slowing down. We observed critical slowing down directly in replicate laboratory populations of budding yeast Saccharomyces cerevisiae. Experimental mapping of the bifurcation diagram showed that populations became more vulnerable to disturbance and exhibited larger, longer‑lasting fluctuations as they approached the tipping point, supporting the use of critical‑slowing‑down indicators as advance warnings of catastrophic thresholds and loss of resilience in diverse dynamical systems.

Abstract

Theory predicts that the approach of catastrophic thresholds in natural systems (e.g., ecosystems, the climate) may result in an increasingly slow recovery from small perturbations, a phenomenon called critical slowing down. We used replicate laboratory populations of the budding yeast Saccharomyces cerevisiae for direct observation of critical slowing down before population collapse. We mapped the bifurcation diagram experimentally and found that the populations became more vulnerable to disturbance closer to the tipping point. Fluctuations of population density increased in size and duration near the tipping point, in agreement with the theory. Our results suggest that indicators of critical slowing down can provide advance warning of catastrophic thresholds and loss of resilience in a variety of dynamical systems.

References

29