Estimates of economic and environmental damages from tipping points cannot be reconciled with the scientific literature

May 19, 2022
119 (21) e2117308119
Research Article
Economic impacts of tipping points in the climate system
Simon Dietz, James Rising [...] Gernot Wagner
Tipping points reduce global consumption per capita by around 1.4% upon 6 C warming, based on a second-order polynomial fit of the data
— Dietz et al. (1).
As Nobel laureate Solow said to Congress when criticizing economic models for failing to anticipate the “Great Recession,” “Every proposition has to pass a smell test: Does it really make sense?” (2). The methods and conclusions in Dietz et al. (1) do not make sense.
Earth last experienced 6 °C warming in the Eocene epoch, 40 million years ago (3). Asserting consumption would be just 1.4% lower with all tipping points breached, i.e., critical elements of the current climate destroyed—while also being much larger than today—is inconceivable, and impossible to reconcile with scientific literature (36).
Dietz used the nonmarket damages function from the Model for Evaluating Regional and Global Effects (MERGE) of GHG reduction policies (7) as a “sensitivity check” (ref. 1, SI Appendix). MERGE does not include tipping points; how then can it provide a sensitivity check?
Furthermore, MERGE assumed that damages were quadratic, for no better reason than “if damages change quadratically with temperature, the calibration requires only a single point,” point (2.5 C, 2%) (7). This makes no sense. The damages figure came from mid-1990s government environmental expenditure, but the temperature figure was entirely arbitrary because mid-1990s warming was 0.5 °C, not 2.5 °C.
Dietz uncritically reproduced Manne’s assumptions: “The catastrophic warming temperature [of 17.68 C] is derived from the assumption that economic losses rise quadratically, and are calibrated to a loss of 2% at 2.5 C warming” (ref. 1, SI Appendix).
Using temporally consistent mid-1990s warming of 0.5 °C yields point (0.5 C, 2%) forcing catastrophic damages at 3.5 C. Scientists anticipate severe cascading damages at 3.5 °C (5, 6, 8, 9) but further emphasizes the inappropriateness of assuming quadratic damages.
Fig. 1 compares two quadratics—through point (2.5 C, 2%) and point (0.5 C, 2%)—and our suggested logistic. Dietz’s multiplicative quadratic-nonmarket-damages-modified utility function tautologically generates a fall in utility of 2% at 2.5 C in high-income countries calibrated to Manne’s “speculative” coordinate, point (2.5 °C, 2%) (ref.  [1], SI Appendix). However, a quadratic calibrated through point (0.5 °C, 2%), and our suggested logistic, which logistic approximates Manne/Dietz’s quadratic to 0.6 °C, also yielding catastrophic damages at 3.5 °C, show that Dietz’s conclusions would have been entirely different had they used more appropriate functions or points. It makes no sense to use a quadratic, whose third and higher derivatives are zero, to emulate tipping points, let alone one fitted to Manne’s arbitrary coordinates.
Fig. 1.
Manne and Dietz’s actual quadratic nonmarket damage function (0.0032·ΔT2) versus a temporally consistent quadratic (0.08·ΔT2), and compared to a logistic alternative (100/[1+e12/5·(2ΔT)]). The point (0.5 °C, 2%) is the correct mid-1990’s warming when environmental expenditure was 2%. Point (2.5 °C, 2%) is an arbitrary value without apparent basis. (ref. 1, SI Appendix).
Dietz et al. is also based on papers which are themselves highly questionable. For example, Anthoff et al. (10) concludes that losing the Atlantic Meridional Overturning Circulation (AMOC) would actually increase global GDP. This defies good sense and scientific research predicting a “catastrophic” (6) decline in food production.
We conclude that Dietz has done nothing to narrow the “huge gulf between natural scientists’ understanding of climate tipping-points and economists’ representations of climate catastrophes” (8). Future loss calculations by economists must be developed, not in isolation from climate scientists, but in close collaboration with them.

References

1
S. Dietz, J. Rising, T. Stoerk, G. Wagner, Economic impacts of tipping points in the climate system. Proc. Natl. Acad. Sci. U.S.A. 118, https://doi.org/10.1073/pnas.2103081118 (2021).
2
R Solow, “Building a science of economics for the real world” (Hearing 111-106, House of Representatives, 2010).
3
K. D. Burke et al., Pliocene and Eocene provide best analogs for near-future climates. Proc. Natl. Acad. Sci. U.S.A. 115, 13288–13293 (2018).
4
J. W. Rae et al., Atmospheric CO2 over the past 66 million years from marine archives. Annu. Rev. Earth Planet. Sci. 49, 609–641 (2021).
5
T. M. Lenton et al., Climate tipping points—Too risky to bet against. Nature 575, 592–595 (2019).
6
OECD, Managing Climate Risks, Facing up to Losses and Damages (Organisation for Economic Co-operation and Development, Paris, 2021).
7
A. Manne, R. Mendelsohn, R. Richels, Merge: A model for evaluating regional and global effects of GHG reduction policies. Energy Policy 23, 17–34 (1995).
8
T. Lenton, J. C. Ciscar, Integrating tipping points into climate impact assessments. Clim. Change 117, 585–597 (2013).
9
J. Hansen, M. Sato, P. Hearty, R. Ruedy, Ice melt, sea level rise and superstorms: Evidence from paleoclimate data, climate modeling, and modern observations that 2 °C global warming is highly dangerous. Atmos. Chem. Phys. Discuss. 15, 20059–20179 (2015).
10
D. Anthoff, F. Estrada, R. S. J. Tol, Shutting down the thermohaline circulation. Am. Econ. Rev. 106, 602–606 (2016).

Information & Authors

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Published in

The cover image for PNAS Vol.119; No.21
Proceedings of the National Academy of Sciences
Vol. 119 | No. 21
May 24, 2022
PubMed: 35588449

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Published online: May 19, 2022
Published in issue: May 24, 2022

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Affiliations

Institute for Strategy, Resilience, and Security, University College London, London WC1E 6BT, United Kingdom
Global Systems Institute, University of Exeter, Exeter EX4 4QE, United Kingdom
Department of Atmospheric Sciences, University of Utah, Salt Lake City, UT 84112
School of Earth and Environmental Sciences, University of St. Andrews, St. Andrews KY16 9AJ, United Kingdom
Research, Butterfly Sciences, Davis, CA 95617
Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1 Canada

Notes

1
To whom correspondence may be addressed. Email: [email protected].
Author contributions: S.K. designed research; S.K., T.M.L., T.J.G., J.W.B.R., B.P.H., and M.G. performed research; and S.K., T.M.L., T.J.G., J.W.B.R., B.P.H., and M.G. wrote the paper.

Competing Interests

The authors declare no competing interest.

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