Climate tipping points are the stuff of headlines: the Amazon turning to savannah, the Atlantic circulation shutting down, ice sheets collapsing. Each would be dramatic, and each is profoundly uncertain. The mathematics used to describe them produces results that are simultaneously alarming and unreliable, and a group of researchers is trying to close that gap.
Tipping points are formalised as bifurcations, moments at which a system's behaviour changes qualitatively as a parameter is pushed past a threshold. The theory is elegant, but applying it to the real climate requires knowing which parameters matter, how noisy the system is and whether early-warning signals can be detected before the transition happens.
Progress is coming from better statistical methods, more realistic models and a more careful accounting of what is genuinely unknown. The aim is not to eliminate uncertainty, which is impossible, but to express it in a form that policymakers can use. A range with clear confidence limits is far more useful than a single number or a vague warning.