The social cost of carbon and inequality

David Klenert, Marc Fleurbaey 28 April 2021

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As one of his first actions after taking office, US president Joe Biden signed an executive order that re-established a working group to provide updated estimates for the social cost of carbon (The White House 2021). The social cost of carbon attaches a price tag to carbon emissions, representing the economic damage to society of an additionally emitted tonne of CO2. This central measure is used as a guideline for climate policy in regulatory impact assessments (Environment and Climate Change Canada 2016, Greenstone et al. 2013, Watkiss and Hope 2011). It is considered as a shadow price for mitigation options, determining their financial viability, but can also be translated into an appropriate carbon price level.

The social cost of carbon is usually determined using integrated assessment models such as the dynamic integrated climate-economy (DICE) model or the framework for uncertainty, negotiation, and distribution (FUND) model (e.g. Anthoff and Tol 2010, Gillingham 2018). These models couple a macroeconomic model with a climate module. There have been insightful estimations using this approach, varying different parameters, refining the climate modules, and incorporating additional macroeconomic insights (e.g. Anthoff and Emmerling 2019, Foley et al. 2013, Golosov et al. 2014, Greenstone et al. 2013, Metcalf and Stock 2017, Nordhaus 2017, Rezai and Van der Ploeg 2016, Stern 2008, van den Bijgaart et al. 2016). This led to the Nobel Prize for William Nordhaus based on his work on the DICE model (Nordhaus 2018).

These models usually aggregate the global economy to one representative agent (Nordhaus 2014, 2017, van der Ploeg and Rezai 2019) or use Negishi weights1 in regionalised studies, which render the existing level of inequality optimal within the global social welfare function (Nordhaus and Yang 1996). This level of aggregation, however, neglects important climate change related distributional effects and possible interactions between them and the level of the social cost of carbon. It has been shown, in fact, that accounting for income differences between countries and regions critically influences the level of the social cost of carbon (Adler et al. 2017, Anthoff et al. 2009, Anthoff and Tol 2010, Azar and Sterner 1996).

Yet, distributional effects between individuals within these regions are neglected, even though their effect on the social cost of carbon could be substantial (e.g. Burke et al. 2016). In our recent paper (Kornek et al. 2021), we therefore account for heterogeneity both between and within countries to estimate the size and direction of this effect. In contrast to all previous studies, we take into account that household inequality is not a given characteristic. Instead, allocation between households is determined by distributional policies of national governments (Wang et al. 2012).2 The key question here is whether the inclusion of additional distributional effects leads to an increase or a decrease in the social cost of carbon.

To provide a tentative answer to this question, we compare the social cost of carbon from two scenarios that differ in how national governments redistribute between households, with the social cost in the representative agent case (i.e. no within-country heterogeneity as in most previous literature). In the first redistribution scenario, national governments compensate households for climate-related damages and costs. We find that the social cost of carbon remains roughly unchanged compared to the representative agent. In the second redistribution scenario, national governments do not take the distribution of climate damages and abatement costs into account when distributing between households. We find that, when low-income households experience large and uncompensated climate damages while abatement costs are proportional to income, the social cost of carbon tends to increase globally.

We quantify these effects numerically for a standard range of parameter values, using a modified version of the NICE model,3 a variant of the regionalised version of the above-mentioned DICE model. In Figure 1, we illustrate the main results for the example of Latin America and the US. In Figure 2, we show that the social cost of carbon can be up to four times larger for some regions compared to the representative agent case (labelled ‘equality’) when national redistribution is suboptimal and the households in each region experience the same absolute and uncompensated climate damage. Conversely, if national governments compensate households for climate-related damages and costs, the social cost of carbon changes only moderately, with a maximum increase of roughly 40%.

Figure 1 The social cost of carbon over time in the US and Latin America

Notes: The social cost of carbon over time for the US and Latin America for the following cases: equality between quintiles in each country (i.e. the representative agent case), inequality and nationally optimal transfers, inequality and nationally suboptimal transfers. The income elasticity of damages is ξ = 0, hence we are looking at the case in which damages fall disproportionately on low-income quintiles. 

Figure 2 The social cost of carbon for China, India, and the US

Notes: The social cost of carbon in the year 2035 in China, India, and the US for different values of the elasticity of marginal felicity η and different damage distribution parameters ξ. We compare the scenario of nationally suboptimal transfers with the case of equality (i.e. the representative agent case). If damages are proportional to income (ξ = 1), the social cost of carbon diverges only moderately from the case of equality. When all quintiles experience the same absolute damage (ξ = 0), the social cost increases notably compared to the representative agent case. The magnitude of change is especially pronounced when η increases to 2, where the social cost of carbon is more than four times higher compared to equality.

Climate change mitigation and the reduction of poverty and inequality are top political priorities, but the two goals are often portrayed as contradictory. Our results demonstrate that accounting for heterogeneity between and within countries is crucial for determining the social cost of carbon, as large interactions between the two exist. Our results cast doubt on the idea that climate policy ambition should be lowered due to inequality concerns. In contrast, we demonstrate that a higher social cost may be called for on a global scale under realistic expectations of existing inequality, specifically, that many countries might not have the capacity to reimburse poor households for disproportionate climate damages. 

References 

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Anthoff, D and J Emmerling (2019), “Inequality and the social cost of carbon”, Journal of the Association of Environmental and Resource Economists 6(2): 29–59.

Anthoff, D, C Hepburn and R S Tol (2009), “Equity weighting and the marginal damage costs of climate change”, Ecol. Econ. 68(3): 836–849.

Anthoff, D and R Tol (2010), “On international equity weights and national decision making on climate change”, VoxEU.org, 29 November.

Azar, C and T Sterner (1996), “Discounting and distributional considerations in the context of global warming”, Ecol. Econ. 19(2): 169–184.

Budolfson, M and F Dennig (2020), “Optimal Global Climate Policy and Regional Carbon Prices”, in G Chichilnisky and A Rezai (eds.), Handbook on the economics of climate change, Edward Elgar Press.

Budolfson, M, F Dennig, M Fleurbaey, A Siebert and R H Socolow (2017), “The comparative importance for optimal climate policy of discounting, inequalities and catastrophes”, Climatic Change 145(3–4): 481–494.

Burke, M, M Craxton, C D Kolstad et al. (2016), “Opportunities for advances in climate change economics”, Science 352(6283): 292–293.

Dennig, F, M B Budolfson, M Fleurbaey, A Siebert and R H Socolow (2015), “Inequality, climate impacts on the future poor, and carbon prices”, Proc. Natl. Acad. Sci. Unit. States Am. 112(52): 15827–15832.

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Foley, D K, A Rezai and L Taylor (2013), “The social cost of carbon emissions: seven propositions”, Econ. Lett. 121(1): 90–97.

Gillingham, K (2018), “William Nordhaus and the costs of climate change”, VoxEU.org, 19 October. 

Golosov, M, J Hassler, P Krusell and A Tsyvinski (2014), “Optimal taxes on fossil fuel in general equilibrium”, Econometrica 82(1): 41–88.

Greenstone, M, E Kopits and A Wolverton (2013), “Developing a social cost of carbon for US regulatory analysis: a methodology and interpretation”, Rev. Environ. Econ. Pol. 7(1): 23–46.

Kornek, U, D Klenert, O Edenhofer and M Fleurbaey (2021), “The Social Cost of Carbon and Inequality: When Local Redistribution Shapes Global Carbon Prices”, Journal of Environmental Economics and Management 107(102450).

Metcalf, G E and J H Stock (2017), “Integrated assessment models and the social cost of carbon: a review and assessment of U.S. experience”, Rev. Environ. Econ. Pol. 11(1): 80–99.

Nordhaus, W (2014), “Estimates of the social cost of carbon: concepts and results from the DICE-2013r model and alternative approaches”, Journal of the Association of Environmental and Resource Economists 1(1/2): 273–312.

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Rezai, A and F van der Ploeg (2016), “Intergenerational inequality aversion, growth, and the role of damages: Occam’s rule for the global carbon tax”, Journal of the Association of Environmental and Resource Economists 3(2).

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Endnotes

1 Negishi weights are inversely proportional to the marginal utility of consumption.

2 This is in fact the key difference from the few studies that consider inequality at the subnational level in the context of calculating the social cost of carbon (Anthoff et al. 2009, Anthoff and Emmerling 2019, Budolfson et al. 2017, Budolfson and Dennig 2020, Dennig et al. 2015). 

3  See Dennig et al. (2015) for a detailed description of the NICE model.

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Topics:  Environment Poverty and income inequality

Tags:  social cost of carbon, climate change, Inequality, Distribution, climate policy

Economist, European Commission

Senior Researcher, CNRS and Professor, Paris School of Economics

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