To the Point Prediction

Luckily, we are not left blindly waiting for tipping points to occur. Once we know that they exist, or have occurred in the past, we can look out for early warnings. Early warning can take several forms, as simple as the knowledge that an event could occur and that it is becoming more likely, to a forecast of its timing and modelling of future events (Lenton, 2011). Slowing down of a system before a bifurcation occurs has been noticed in present day systems, climate-model output and palaeoclimate data; it causes the intrinsic rates of change in a system to decrease, and thus the state of the system becomes more like its past, alternative state (Lenton, 2011). Similar to this are ‘small-signal amplification’ and ‘noise amplification’, where small intermittent perturbations or noise are amplified at particular frequencies depending on the type of bifurcation (Lenton, 2011). Ditlevsen and Johnsen (2010) describe the two generic characteristics of the approach to a bifurcation point as increased variance of the observed signal and the corresponding increased auto-correlation related to critical slow down. They do however, stress that the early warning of climate or structural change in any system can only be obtained if increase in both variance and auto-correlation is observed, and that conclusions drawn based solely on one of the signals and not the other are invalid (Ditlevsen and Johnsen, 2010).

http://cpa.ds.npr.org/wamc/audio/2013/11/11-25-13_harvard_forest_troubled_lakes.mp3

In this talk, (see link above) Dr. Aaron Ellison talks about ecosystems and tipping points, briefly discussing the findings of his 2013 collaborative paper – Sirota et al. 2013.

Image from North Carolina Native Plant Society,
 http://www.ncwildflower.org/index.php/plants/details/sarracenia-purpurea/

Although experimental induction of tipping points is rare due to the scale of the system in question, Sirota et al. (2013) experimentally induced a shift from aerobic to anaerobic states in a miniature aquatic ecosystem of the self-contained pools that form in leaves of the carnivorous northern pitcher plant, Sarracenia purpurea, in order to represent the shift from a clear, oligotrophic lake to a murky, eutrophic one. The plants were fed controlled amounts of dried, ground arthropod prey. In controls, the concentration of dissolved oxygen replicates exhibited regular diurnal cycles associated with daytime photosynthesis and nocturnal plant respiration. Results showed that increasing organic-matter loading led to predictable changes in O2 dynamics, with high loading consistently driving the system past a well-defined tipping point. The Sarracenia micro ecosystem therefore functions as a compliant experimental system in which to examine prediction and management of tipping points.

This, as well as other models, tests and qualitative observations, show promise for early warning of bifurcation-type climate tipping points, but there are potential limitations of ‘false alarms’ (false positives) and ‘missed alarms’ (false negatives) (Lenton, 2011) that must be considered before jumping to conclusions. There is, however, hope for a better understanding of impending tipping points and how we can mitigate, if not prevent, them.

Ditlevsen, P. D. & Johnsen, S. J. (2010). “Tipping points: Early warning and wishful thinking”. Geophysical  Research Letters, 37.

Lenton, T., M., (2011) “Early warning of climate tipping points” Nature Climate Change, 1, 201-209

Sirota, J., B. Baiser, N. J. Gotelli, and A. M. Ellison. 2013. Organic-matter loading determines regime shifts and alternative states in an aquatic ecosystem. Proceedings of the National Academy of Sciences, USA. 110: 7742-7747.