In a recent discussion called ["feedbacks, runaway, and tipping points"](https://andthentheresphysics.wordpress.com/2020/02/01/feebacks-runaway-and-tipping-points/) I linked to a concise derivation of how climate set-points are reached based on what we published last year.

This is a fun derivation for anyone interested in reducing well-known relations to a quadratic equation, with the two solutions giving the low-T snowball-earth and the high-T current regime. In other words, the positive feed back of CO2-catalyzed warming does not lead to a thermal runaway.

![](https://pbs.twimg.com/media/EPjcnuwWAAABWMd.png)
![](https://pbs.twimg.com/media/EPjcnu3X4AQKjHU.png)
![](https://pbs.twimg.com/media/EPjcnuuWsAIV21Z.png)
![](https://pbs.twimg.com/media/EPjcnuvXsAAXfxO.png)

There's a geologist on the comments that apparently called it a curve-fit and the discussion went downhill from there. I wouldn't dare talk plate tectonics on that blog :)