The first projection to consider is the Random Walk (RW). If Global Temperature were a Random Walk it would mean that it cannot be forecast, a result that would please Climate Change Deniers. Given the high variability of the Global Temperature data, it should be no surprise that, in the short-run year-to-year, Global Temperature is a RW given the Akaike Information Criterion [-77.33, AIC=-65.15,-55.0]. However, in the long-run there is a clear trend. The issue is how far into the future can the trend be carried.
In the Stokes (2025) Global Sea Level article the conclusion is that, to prevent destabilizing the Arctic Ice Caps, Global Temperature should return to the levels somewhere around the 1980's. The graphic above plots a forecast of the Temperature BAU model that has no inputs (no radiative forcings). Without forcings from human systems (anthropogenic forcings) the model would say within the "safe" zones. Unfortunately, isolating Global Temperature from human systems seems impossible.
The next one of my models to consider simply uses CO2 emissions to predict global temperature, something similar to the endpoint of the Kaya Impact Model (graphed above) used by the IPCC. The model projects a linear increase in temperature that eventually reaches a steady state (the model is stable). Using the Akaike Information Criterion (smaller is better) [170.2,AIC=198.3 217.1], it is not a strong competitor.
Another important model involves the technical coefficients of the Kaya Impact Model (q, e, c, t in the graphic above). The model is important because improvements in Kaya Technology (efficiency) such as renewable energy, etc. should ultimately reduce Global Temperature. The model shows continuing increases in Global Temperature, but because the model is stable, a steady state will eventually be reached but at a higher Global Temperature than 15.5 degrees (dotted red line in first graphic). In other words, even though technological change can moderate temperatures, it will not be enough to prevent melting of the Polar Ice Caps. Still, the model is a good competitor using the Akaike Information Criterion [-47.94, AIC=14.95, 67.81].***
Finally, driving Global Temperature with the state of the World System using two different models (the dashed blue line and the pink line in the graphic at the beginning of this post), produce growth-and-collapse modes and keep global temperature below 15.5 degrees. The WL203 model (dashed blue line) is the best model (beyond the RW) using the Akaike Information Criterion [-70.95, AC=-10.41, 34.52] compared to the WL20W model [-4.007, AIC=64.63, 107.9].
Notes
** Recent data from NASA's CRES (Clouds and Earth’s Radiant Energy System) satellite data also indicates that Earth's Albedo (ability to reflect sunlight and reduce warming) is decreasing!
*** There is another type of Technological change that involves productivity (the dashed black line in the graphic at the beginning of this article). It shows a similar, if somewhat worse, time path than Kaya Technology and reaches 15.5 degrees earlier in time.
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