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More-global-warming-might-be-good-to-mitigate-the-food-shocks-caused-by-abrupt-sunlight-reduction-scenarios
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More global warming might be good to mitigate the food shocks caused by abrupt sunlight reduction scenarios

Disclaimer: this is not a project from Alliance to Feed the Earth in Disasters (ALLFED).

Update on 2 February 2024. I no longer endorse the premises of this analysis. It relies on minimising the existential risk from climate change and the food shocks caused by abrupt sunlight reduction scenarios, but I would now say these pose astronomically low extinction risk. As a result, I think it makes more sense to figure out whether additional emissions of greenhouse gases are good/bad from the perspective of improving nearterm welfare or boosting nearterm economic growth, as proxied by e.g. global disease burden and real gross domestic product in 2050.

Summary

Introduction

“In the sense that matters most for effective altruism, climate change refers to large-scale shifts in weather patterns that result from emissions of greenhouse gases such as carbon dioxide and methane largely from fossil fuel consumption. Climate change has the potential to result in—and to some extent is already resulting in—increased natural disasters, increased water and food insecurity, and widespread species extinction and habitat loss.

In What We Owe to the Future (WWOF), William MacAskill argues “decarbonisation [decreasing GHG emissions] is a proof of concept for longtermism”, describing it as a “win-win-win-win-win”. In addition to (supposedly) improving the longterm future:

I agree decarbonisation will eventually be beneficial, but I am not sure decreasing GHG emissions is good at the margin now. As I said in my hot takes on counterproductive altruism:

In this analysis, I estimated the optimal global warming to decrease the reduction in the value of the future due to both climate change and the food shocks caused by ASRSs. Note such warming may well not be optimal from the point of view of maximising gross world product (GWP) in the nearterm (e.g. in 2100).

Methods

I calculated the reduction in the value of the future as a function of the median global warming in 2100 relative to 1880 from the sum between:

The data and calculations are in this Sheet (see tab “TOC”) and this Colab[2]. You can change the variables scale_ASRS and scale_climate_change to scale the reduction in the value of the future due to ASRSs, and climate change for 2.41 ºC by a constant factor. For instance, setting those variables to 2 would make:

I modelled all variables as independent distributions, and ran a Monte Carlo simulation with 100 k samples per variable to get the results. Owing to the independence assumption, my model implicitly considers climate change does not impact the risk from ASRSs via increased risk from nuclear war. I believe this is about right, in agreement with Chapter 12 of John Halstead’s report on climate change and longtermism:

Abrupt sunlight reduction scenarios

I computed the reduction in the value of the future due to the food shocks caused by ASRSs between 2024 and 2100:

My methodology relies on the results of the climate and crop models of Xia 2022 for a single level of global warming (1 ºC), and then adjusts them via an effective soot reduction. Ideally, one should run the climate and crop models for each level of global warming, since the climate response caused by ASRSs depends on the pre-catastrophe global mean temperature. As an example of why this might be relevant, I do not know whether there is a good symmetry between the regional effects of global cooling and warming.

Soot ejected into the stratosphere (Tg)

Maximum temperature reduction (ºC)

0

0

5

2.36

16

4.60

27

6.46

37

8.35

47

8.82

150

15.8

15,000

28

Climate change

I obtained the reduction in the value of the future due to climate change from a logistic function (S-curve), which:

Note the reduction in the value of the future due to climate change for an actual global warming of 2.41 ºC would be much lower than the aforementioned 0.368 bp, but a similar median warming allows for higher levels of actual warming, which are the driver for the overall risk. I used 2.41 ºC as the reference median warming in line with this Metaculus’ community prediction (on 11 April 2023).

There is significant uncertainty about the shape of the damage from climate change, but there is consensus that it increases more than linearly with warming[9] before ceiling effects, and therefore relying on an S-curve seems appropriate. However, since my logistic function is always positive:

One factor which makes my logistic function underestimate the risk from climate change is assuming it is impossible for it to be beneficial. In reality, I think it can, at least for low levels of median global warming, maybe because of carbon dioxide fertilisation (which I have ignored). Note:

Results

The key results are in the table below, and illustrated in the following figures. After these, I also present a short sensitivity analysis. The results plotted in the figures are in this Sheet (see tab “TOC”).

Key results

In this table, median global warming refers to the one in 2100 relative to 1880.

Metric

Mean

5th percentile

95th percentile

Optimal median global warming (ºC)

3.3

0.1

4.3

Reduction in the value of the future for the optimal median global warming (bp)

34.8

-74.1

191

Climate change

Note the above curves refer to a reduction in the longterm future potential, not in the GWP.

Abrupt sunlight reduction scenarios

The sharp variation starting at 31.8 ºC of median global warming in 2100 results from the soot ejected into the stratosphere as a function of the maximum temperature reduction increasing much faster after 150 Tg (which causes a maximum temperature reduction of 15.8 ºC; see last table here). This leads to a sharp increase in the effective reduction in the soot ejection, and therefore the reduction in the value of the future due to food shocks caused by ASRSs quickly approaches 0.

Global warming

The figures below refer to the reduction in the value of the future due to both food shocks caused by ASRSs between 2024 and 2100, and climate change.

Sensitivity analysis

Change

Optimal median global warming in 2100 relative to 1880 (ºC)

Mean

5th percentile

95th percentile

None

3.3

0.1

4.3

Risk from ASRSs 10 % as high

2.3

0.1

2.1

Risk from ASRSs 10 times as high

4.3

0.1

5.3

Risk from climate change 10 % as high for 2.41 ºC

3.3

0.1

4.3

Risk from climate change 10 times as high for 2.41 ºC

0.1

0.1

2.1

Discussion

Optimal median global warming and crucial considerations

My best guess is that additional GHG emissions are beneficial up to an optimal median global warming in 2100 relative to 1880 of 3.3 ºC, after which the increase in the risk from climate change outweighs the reduction in that from ASRSs. My sensitivity analysis indicates a range of 0.1 to 4.3 ºC. This suggests delaying decarbonisation is roughly neutral or good at the margin if one trusts (on top of my assumptions!):

Nevertheless, I am not confident the above conclusion is resilient. My sensitivity analysis indicates the optimal median global warming can range from 0.1 to 4.3 ºC, after which the reduction in the value of the future due to climate change starts to be material. The higher bound for the expected optimal median global warming would be lower/higher if the risk from climate change increased faster/slower than the exponential implied by my logistic function (for low levels of median global warming). The takeaway for me is that we do not really know whether additional GHG emissions are good/bad.

Note the cost-effectiveness of decreasing GHG emissions would be null for the optimal median global warming (by definition). The higher the cost-effectiveness bar, the more the median global warming would have to rise above the optimal value for the reduction in GHG emissions to be sufficiently effective.

In any case, it looks like the effect of global warming on the risk from ASRSs is a crucial consideration, and therefore it must be investigated, especially because it is very neglected. It is not mentioned in Kemp 2022, Founders Pledge’s report on climate philanthropy, nor John’s book-length report on climate change and longtermism. I am not sure whether the crucial consideration falls outside of the scope of these pieces, but I believe it should be addressed somewhere.

Another potentially crucial consideration is that an energy system which relies more on renewables, and less on fossil fuels is less resilient to ASRSs.

Implications

In Chapter 10 of WWOF, William suggests 3 rules of thumb for acting under uncertainty:

I believe decreasing GHG emissions would be robustly good if the median global warming in 2100 relative to 1880 were much higher than 3.3 ºC (my best guess for the optimal value), but this is far from true. My analysis is not anything close to definite, but the fact it ignores many factors arguably implies I am underestimating the uncertainty of the matter, in which case the plausible range for the optimal median global warming should be even wider. One can reject this conclusion, and argue that decarbonising faster is good by postulating a strong prior that the optimal median global warming is lower than around 2.4 ºC, but would that really be reasonable? I do not think so, because reality just seems too complex for one to be that confident.

Robustly good actions would be:

Acknowledgements

Thanks to David Denkenberger, Johannes Ackva, John Halstead, and Alexey Turchin for feedback on the draft[13].


[1] Technically, a nuclear/volcanic/impact winter is a type of climate change too, but the term climate change throughout my text refers to the adverse effects of global warming.

[2] For me, the running time is 3 min.

[3] As mentioned, my estimate for the risk from ASRSs is 4.83 (-9.50 to 25.9) times that of Toby for the existential risk from nuclear war.

[4] Converting Toby’s estimate to the period of 2024 to 2100 assuming constant annual risk.

[5] I computed the global warming beyond that of the baseline model from the maximum between 0 and the difference between the median global warming in 2062 (= (2024 + 2100)/2) relative to 1880 and 1 ºC. 2062 is the year in the middle of the period from 2024 to 2100 for which I studied the risk from ASRSs. 1 ºC is the actual global warming in my baseline model (2010) relative to 1880.

[6] 1 Tg equals 1 million tonnes.

[7] If I had defined the logistic function without using its inflection point, I would have to solve a nonlinear system of 2 equations for each Monte Carlo sample to get the logistic growth rate, and median global warming for which there is a 50 % reduction in the value of the future (T0). Since I defined this a priori, I was able to directly obtain the logistic growth rate from ln(1/“reference reduction in the value of the future” - 1)/(T0 - “reference median global warming”).

[8] From here, John “assume[s] that all of the risk stems from the India v Pakistan and India v China conflicts, and in turn that most of the risk of existential catastrophe stems from AI, biorisk and currently unforeseen technological risks [as stated by Toby Ord in The Precipice]”.

[9] See figure in section “Social cost” of Revesz 2014, which I came across via Founders Pledge’s report on climate philanthropy (search for “non-linearity of climate damage”).

[10] A fall in precipitation might not lead to less hydropower due to the death of plants, and subsequent decrease in the amount of water they absorb.

[11] The Government of Canada says “some turbines can operate in temperatures down to -30C” with “cold weather packages”, but I guess these might decrease efficiency, or not be readily available. I suppose no one is stockpiling such packages with an eye on ASRSs.

[12] Although there is a 1/3 chance of mitigating the food shocks caused by ASRSs being harmful in my baseline model, which assumes a median global warming of 1 ºC.

[13] Names ordered by descending relevance of contributions.