1 Uncertainty in Predictions of the Climate Response to Rising Levels of Greenhouse Gases Supplementary Discussion The PC Based GCM The climateprediction.net experiment has only been possible using a distributed computing methodology and it was therefore necessary to implement the model on personal computers. To provide the greatest possible participation base19 it was decided to focus initially on the Windows operating system, although in July 2004 a new version was released which also runs on Macs and Linux machines . Limiting the overall time taken by each simulation was crucial to maintain participant interest, and thus ensure that results were obtained. For this reason the model was implemented in 32 bit precision, roughly doubling the rate of simulation. Supplementary figures 1a-1d demonstrate that the unperturbed model used in this project compares as well with observations as does the supercomputer based, “standard”, version of HadSM330. The observations used for these comparisons were i) 1.5m temperature from the CRU datasets1 and ii) precipitation from Xie-Arkins2. Example Perturbed Model Versions The control climate of the low and high sensitivity models used in figure 3 can be seen in supplementary figures 1e-1h to compare similarly well with observations as does the unperturbed model. Of course the perturbed models have not been through any tuning procedures through which it may be possible to improve their simulation of observations. Cooling Simulations There is a well understood mechanism for models with a mixed layer ocean to produce dramatic, unphysical cooling. The process begins in the eastern tropical Pacific. During the calibration phase there is a mean level of low cloud over the region and consequently a negative cloud radiative forcing. The heat flux convergence field is negative here, mimicking the cooling effect of upwelling colder ocean water. During a subsequent phase the regional amount of cloud may become greater than was typical in the calibration phase. As a result the amount of short wave radiation penetrating to the surface is reduced and the sea surface temperatures fall. This can lead to further lowlevel cloud and a positive feedback mechanism, ultimately cooling the whole planet. This runaway effect is an unphysical consequence of using a mixed layer ocean; it could happen at any point in the control or double CO2 phases. Some model versions may be more susceptible but any model versions with sufficient variability, potentially including the unperturbed model, could produce it given sufficiently long simulations. The climateprediction.net simulations highlight this generic problem of mixed layer models, as a consequence of three factors: i) the total number of model years is far 2 greater than in any previous experiment so the effect is simply more likely to occur, ii) some perturbed model versions may be more susceptible due to increased variability, and iii) the experimental design requires that all model versions use a 15 year calibration phase – for model versions with higher than standard variability it may be necessary to increase the length of this phase to reduce the likelihood of encountering the problem. Of the simulations removed from the analysis due to a drift in the control, many exhibit only slow drifts in global mean temperature; a result either of an insufficiently long calibration or a spurious deduction as a consequence of natural variability in the control. The remaining ones appear to be a result of the above described effect. Its consequences are seen in the surface temperature field which show a dramatic cooling in the eastern equatorial pacific. Supplementary figure 2 shows the difference in the surface temperature field between the control and calibration phases for (a) a stable simulation and (b) an unstable simulation showing this effect. These unstable simulations are removed from the analysis by the requirement that the drift in Tg be less than 0.02 K/year in the last eight years of the control (see Methods – Data Quality). It is impractical to assess these fields by eye for all simulations in our grand ensemble but such manual verification confirms that none of the simulations which pass the quality and stability checks and have sensitivity greater than 8.5K, exhibit this problem. Six simulations have stable controls but show a negative drift in the double CO2 phase. These are also a result of the above described effect as can be seen in supplementary figure 3; in the simulation shown the 8 year mean surface temperature in the double CO2 phase shows a strong cooling in the tropical pacific with temperatures down to 27K below the calibration phase. We consider it justified, therefore, to remove them from the current analysis. However, it will be important not to omit such parameter combinations from future experiments using models with dynamic oceans since they would not exhibit the same problem. Sensitivity to Perturbations The detailed impact of different parameter perturbations, both individually and simultaneously, will be the subject of further research. However, figure 2 shows the impact of sub-sampling model versions by omitting those in which each of two parameters are perturbed. Supplementary figure 4 complements this plot by illustrating the effect of omitting those model versions in which each of the remaining four parameters are perturbed. References: s1. New, M., Hulme, M. & Jones, P. Representing twentieth-century space-time climate variability. Part I: Development of a 1961-90 mean monthly terrestrial climatology. J. Clim. 12,829-856 (1999). 3 s2. Xie, P. & Arkin P. A. Global precipitation: A 17-year monthly analysis based on gauge observations, satellite estimates and numerical model outputs. Bull. Am. Met. Soc. 78,2539-2558 (1997).