A troubling idea about climate change found new evidence in its favor

From the same article I posted and you referenced:

"Dissolution of CO2 into the oceans is fast but the problem is that the top of the ocean is “getting full” and the bottleneck is thus the transfer of carbon from surface waters to the deep ocean. This transfer largely occurs by the slow ocean basin circulation and turn over (*3). This turnover takes 500-1000ish years. Therefore a time scale for CO2 warming potential out as far as 500 years is entirely reasonable."

You stated: "Because of that the proportion of CO2 that stays in the atmosphere for a given time follows an exponential law with a decay coefficient of -log(1-0.27)=0.19" this was not in the article. You're applying equations which are not appropriate to the system.

To repeat: https://www.ipcc.ch/pdf/assessment-report/ar5/wg1/WG1AR5_Cha... rather than make up equations and argue with me about the minutia you really need to take some time and understand the physical science basis as explained by experts.

Within a thousand years, the remaining atmospheric fraction of the CO2 emissions (see Section 6.3.2.4) is between 15 and 40%, depending on the amount of carbon released (Archer et al., 2009b).

Again....I'd be interested to know what you're reading that brought you these arguments as they seem to be passed around circles of skeptics (not saying deniers).

http://euanmearns.com/the-half-life-of-co2-in-earths-atmosph...

Frankly I don't care about the 97% agreement. I'm sure it is just as high if not higher in terms of biologists agreeing that evolution is occurring. It's a talking point to get people with no scientific training on board. Unfortunately it has the opposite result in many cases since it's a weak argument from authority.

Excellent point about water vapor particularly when it precipitates and release energy during the phase change. I'm on mobile so not as good at finding things, here's some information from AR4 with sources, AR5 may go into more detail:

https://www.ipcc.ch/publications_and_data/ar4/wg1/en/ch9s9-5...

9.5.4.2.1 Detection of external influence on precipitation

Mitchell et al. (1987) argue that global mean precipitation changes should be controlled primarily by the energy budget of the troposphere where the latent heat of condensation is balanced by radiative cooling. Warming the troposphere enhances the cooling rate, thereby increasing precipitation, but this may be partly offset by a decrease in the efficiency of radiative cooling due to an increase in atmospheric CO2 (Allen and Ingram, 2002; Yang et al., 2003; Lambert et al., 2004; Sugi and Yoshimura, 2004). This suggests that global mean precipitation should respond more to changes in shortwave forcing than CO2 forcing, since shortwave forcings, such as volcanic aerosol, alter the temperature of the troposphere without affecting the efficiency of radiative cooling. This is consistent with a simulated decrease in precipitation following large volcanic eruptions (Robock and Liu, 1994; Broccoli et al., 2003), and may explain why anthropogenic influence has not been detected in measurements of global land mean precipitation (Ziegler et al., 2003; Gillett et al., 2004b), although Lambert et al. (2004) urge caution in applying the energy budget argument to land-only data. Greenhouse-gas induced increases in global precipitation may have also been offset by decreases due to anthropogenic aerosols (Ramanathan et al., 2001).

Several studies have demonstrated that simulated land mean precipitation in climate model integrations including both natural and anthropogenic forcings is significantly correlated with that observed (Allen and Ingram, 2002; Gillett et al., 2004b; Lambert et al., 2004), thereby detecting external influence in observations of precipitation (see Section 8.3.1.2 for an evaluation of model-simulated precipitation). Lambert et al. (2005) examine precipitation changes in simulations of nine MMD 20C3M models including anthropogenic and natural forcing (Figure 9.18a), and find that the responses to combined anthropogenic and natural forcing simulated by five of the nine models are detectable in observed land mean precipitation (Figure 9.18a). Lambert et al. (2004) detect the response to shortwave forcing, but not longwave forcing, in land mean precipitation using HadCM3, and Gillett et al. (2004b) similarly detect the response to volcanic forcing using the PCM. Climate models appear to underestimate the variance of land mean precipitation compared to that observed (Gillett et al., 2004b; Lambert et al., 2004, 2005), but it is unclear whether this discrepancy results from an underestimated response to shortwave forcing (Gillett et al., 2004b), underestimated internal variability, errors in the observations, or a combination of these.

1. Mathematical or logical proof

2. Proof by controlled, reproducible experiment

3. Proof by predictions bourne out reliably by observations

We certainly don't have the first two here, and for the third, given the time frames, we find that predictions (from computer models) from the past have been wrong compared to realised events. But I suppose if backfitting a model is proof enough for you then you already have all you need.