1 Probability, temperature, mitigation, scenarios

Developing economy greenhouse gas emissions are growing rapidly relative to developed economy emissions. China has overtaken the United States as the largest emitter of fossil fuel CO2 to the atmosphere, and developing economies as a group have greater emissions than developed economies (Boden et al. 2010). These developments are expected to continue (U.S. Energy Information Administration 2010), which has led some to question the effectiveness of emissions mitigations in developed economies such as the United States. One often heard argument against proposed U.S. legislation to limit carbon emissions to mitigate climate change is that, without participation from large developing economies like China and India, stabilizing temperature, or even reducing global emissions levels, would be impossible (Driessen 2009; RPC Energy Facts 2009) or prohibitively expensive. While it is true that a delay in developing economy action to reduce CO2 emissions would greatly increase the cost of stabilizing greenhouse gas concentrations at any given level,Footnote 1 the gains from developed country mitigation—even when developing economy action is greatly diminished or delayed—are still large. In this paper we estimate the potential effectiveness of developed country leadership in reducing the likelihood of observed global mean temperature exceeding 2°C,Footnote 2 even if developing economies delay emissions mitigation efforts until after mid-century. We find that the effect of early mitigation action on the part of developed economies significantly reduces the probability of large temperature changes in 2100 while increasing the probability of lower temperature changes, as compared to a no policy scenario.

This paper examines three scenarios: a scenario with no concerted action to mitigate emissions (“No Policy”), a scenario intended to represent full and immediate global participation in limiting greenhouse gas emissions (“Full Participation”), and a scenario where all developing economies take no action to mitigate emissions until 2050 (“Developing Economy Delay”).Footnote 3

The no policy case uses the emissions pathways from the MiniCAM model’s EMF 22 no policy scenario (Calvin et al. 2009). The full participation scenario is based on the commitments made at the July 2009, Major Economies Forum where, “the G8 leaders agreed to reduce their emissions 80% or more by 2050 as its share of a global goal to lower emissions 50% by 2050, acknowledging the broad scientific view that warming should be limited to no more than two degrees Celsius (White House 2009),” and the caps on emissions from the recently debated Senate American Power Act (APA), which has a 2050 cap on US emissions that is 83% below 2005 levels in 2050. Under these assumptions the US, as well as other developed countries, all reduce emissions to 83% below 2005 levels by 2050. Developing countries adopt a policy beginning in 2025 that caps emissions at 2015 levels, and linearly reduce emissions to 26% below 2005 levels by 2050 in order to meet the 50% global reduction target agreed upon at the Major Economies Forum. In the developing economy delay scenario, developed economies adopt the same targets as in the full participation case; however, developing economies do not adopt any climate policies until 2050, after which their emissions are held constant at 2050 no policy levels. These stylized scenarios demonstrate alternate levels of emissions that could occur under many potential futures. Figure 1 depicts the annual greenhouse gas emissions in each region under these three scenarios, and Table 1 shows the 2010–2100 cumulative emissions and cumulative abatement demand by region in each scenario.

Fig. 1
figure 1

Annual greenhouse gas emissions under alternate scenarios

Table 1 2010–2100 Cumulative greenhouse gas emissions and abatement (GtCO2e)

Figure 2 shows the approximate probability of observed global mean temperature changes in 2100, relative to pre-industrial, under no policy, developing economy delay, and full participation scenarios.Footnote 4 , Footnote 5 We developed these figures using a simple climate model, the Model for the Assessment of Greenhouse-gas Induced Climate Change (MAGICC) 5.3, (Wigley 2011) and the distribution over climate sensitivity reported by Roe and Baker (2007) truncated (at 10°C) as implemented by the US Government in the 2010 Social Cost of Carbon exercise (U.S. Government Interagency Working Group on Social Cost of Carbon 2010). These figures demonstrate the resulting approximate probability of specific ranges of observed global mean temperature change.

Fig. 2
figure 2

Probability of observed temperature change in 2100 under alternate mitigation scenarios

For instance, under the no policy scenario, the probability of attaining the G8 goal of not exceeding a temperature change in 2100 of 2°C is approximately 1%. Under the full global participation scenario this probability increases to 75%. Under the delayed participation scenario this probability is 11%, an order of magnitude change from the no policy. Additionally, the probability of remaining between 2° and 3° above pre-industrial temperatures increases from 29% in the no policy scenario to 47% in the delayed participation scenario. The delay scenario has a near doubling of the probability of remaining below 3° compared to the no policy scenario.

A primary advantage of the probabilistic presentation of observed temperature changes in Fig. 2 is that, in addition to clearly depicting the chances of meeting the two degree Celsius target, the risks of observing more extreme temperature changes are also clear. Much recent discussion around climate policy has involved reducing the risk of catastrophic or severe climate impacts. Temperature can serve as a useful proxy for these impacts. The probability of the global mean temperature increase above preindustrial being 4°C or greater is about 32% in the no policy case. This probability is reduced to essentially zero in the full participation case and even in the case of delayed developing economy action the probability of exceeding 4°C is cut in half to approximately 15%. The most extreme outcome, an increase of 6° to 8°C, has a 4.7% chance of occurring in the no policy scenario, while the probability under the delayed developing economy action scenario is one eighth as large, at 0.6%.

In all three scenarios, the temperature in 2100 is not stabilized and the observed change in global mean temperature in 2100 is not equal to the equilibrium change in global mean temperature. There are two reasons for this. First, equilibrium temperature change (Fig. 3) cannot be achieved until CO2e concentrations, not just emissions, are constant (CO2e concentrations in each scenario under different climate sensitivities are shown in Fig. 4). While the G8 international goals stabilize global greenhouse gas emissions at 50% below 2005 levels, CO2e concentrations, and therefore temperature, are not stabilized. Second, even if concentrations were stabilized, the inertia in ocean temperatures causes the equilibrium global mean surface temperature change to lag behind the observed global mean surface temperature change by as much as 500 years. Even when CO2e concentrations are stabilized, observed temperatures would continue to rise for centuries before the equilibrium temperature changes are achieved.

Fig. 3
figure 3

Probability of long-term equilibrium temperature change assuming radiative forcing held constant at 2100 levels under alternate mitigation scenarios

Fig. 4
figure 4

CO2e concentrations through 2100 under alternate scenarios and climate sensitivities

A common practice for calculating the equilibrium temperature change when using a model that only runs through 2100 is to assume constant radiative forcing after 2100 (total radiative forcing in each scenario under different climate sensitivities are shown in Table 2). This may be a reasonable assumption in a policy case, where the additional post 2100 reductions needed to stabilize radiative forcing could reasonably be assumed to occur; however, in a no policy case it leads to overly optimistic results, since very large post 2100 reductions are being assumed in what is intended as a ‘no policy’ scenario. With these caveats, Fig. 3 depicts the probability of equilibrium temperature changes committed to in 2100 given the three scenarios described above, assuming constant radiative forcing in perpetuity for each scenario. Notably, the equilibrium temperature changes associated with the radiative forcings in 2100 are much larger than the observed temperature changes in 2100. Under the no policy scenario there is nearly a 75% probability of equilibrium temperature change exceeding 4°C, with a 21% chance of temperature change being greater than 8°C.

Table 2 Total radiative forcing (W/m2)

As with the observed temperature changes, the probability of extreme equilibrium temperature changes are decreased, while the probability of smaller temperature changes is increased for both the full participation and developing economy delay scenarios. Under the no policy scenario the probability of staying below a 2°C equilibrium temperature change is minute at only 0.03%. Under the full participation scenario there is 44% chance of staying below 2°C and even under the delay scenario this probability is 1.3%. The probability of staying between 2 and 3°C for equilibrium temperature change increases to 30% in the full global action scenario and 19% in the delay scenario from 5.6% in the no policy scenario, an increase of 24 and 13 percentage points, respectively.

We find that early action by the developed countries, even in the absence of mitigation efforts by developing economies prior to 2050, has a strong positive impact on the distribution over observed temperature outcomes in 2100 relative to the no policy case. There is a clear increase in the probability of achieving the G8 target of a temperature change of less than 2°C under the developing economy delay scenario, as compared to the no policy scenario. We also find that the delay scenario halves the probability of exceeding the most extreme temperature changes, greater than 10°C, and reduces the probability of temperature changes greater than 6°C by 15 percentage points, from 38% to 23%.

A key contribution of this work is the clear presentation of changes in temperature probability distributions over alternate scenarios, clearly demonstrating the large reductions in the risks of more extreme temperature change under mitigation scenarios, as compared with a no policy scenario. We show that these reductions in the risk of the worst outcomes are greatly reduced even under a scenario that models a delay in developing economy participation. While delay in mitigation efforts by developing economies is not an ideal outcome—the greatest changes are seen when the countries all begin mitigation efforts immediately—it is clear that the potential for this delay should no longer be used as a reason to prevent mitigation action in developed economies.