Technically, I think the relationship is random or Zero and the Earth’s Albedo is really controlling the average temperature, not CO2. This captures the termination of the glaciation that preceded the Eemian interglacial and the inception of the last great glaciation that succeeded the Eemian. However by cherry picking the last 850,000 years as Al Gore did you can find a wonderful correlation between [CO2] and temperature. Despite a best estimate of climate sensitivity a tad lower than the 3C used today, the FAR overestimated the rate of warming between 1970 and 2016 by around 17% in their BAU scenario, showing 1C warming over that period vs 0.85C observed. CO2 and Temperature here are backfitted to be at the same exact time, ie the equilibrium CO2 sensitivity value. However, as I'm always saying, you need to look at the broader view, not just a single piece of the puzzle. Over the past 170 years, human activities have raised atmospheric concentrations of CO 2 by 47% above pre-industrial levels found in 1850. Clearly [CO2] does not correlate well with temperature over the last 3,500 years or the last 400 million years. Human activities continue to emit large amounts of CO2 into the atmosphere in spite of efforts to reduce our carbon footprint. A further increase in temperature will cause the ice caps and glaciers to melt, causing sea levels to rise and inundating coastal cities – where most of human civilization is located. This is more than what had happened naturally over a 20,000 year period (from the Last Glacial Maximum to 1850, from 185 ppm to 280 ppm). A rise in carbon dioxide levels could not have caused a rise in temperature if it followed the temperature." People love to debate whether CO2 leads or lags temperature, based on ice core graphs. CO2 lags temperature "An article in Science magazine illustrated that a rise in carbon dioxide did not precede a rise in temperatures, but actually lagged behind temperature rises by 200 to 1000 years. Too bad that he did not notice that [CO2] lags temperature! CO2 appears to lag. Previously, we looked at the correlation between CO2 and temperature over the past 40 years. The Impact of a Warmer Earth. And then going way, way back for the last 750 million years. CO2 lags temperature rises in ice core data. The 40 year period was chosen to demonstrate that even during a period of long term warming, internal variability causes periods of short term cooling. You can make CO2 appear to lead or lag by how you position the two graphs on the Y-axis. This is mostly due to the projection of much higher atmospheric CO2 concentrations than has actually occurred. Same graph with the Y-axis shifted. [1] We report a decadally resolved record of atmospheric CO 2 concentration for the last 1000 years, obtained from the West Antarctic Ice Sheet (WAIS) Divide shallow ice core. A detailed analysis of temperature, CO2 and methane variations from the Vostok ice core is presented for the time interval 137,383 to 102,052 years ago. The whole discussion is a farce. The most prominent feature of the pre‐industrial period is a rapid ∼7 ppm decrease of CO 2 in a span of ∼20–50 years at ∼1600 A.D. Now CO2 appears to lead.

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