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Research Article

Revisiting the social cost of carbon

William D. Nordhaus
PNAS February 14, 2017 114 (7) 1518-1523; first published January 31, 2017; https://doi.org/10.1073/pnas.1609244114
William D. Nordhaus
aDepartment of Economics, Yale University, New Haven, CT 06520-8268
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  • For correspondence: william.nordhaus@yale.edu
  1. Contributed by William D. Nordhaus, November 21, 2016 (sent for review June 8, 2016; reviewed by James K. Hammitt, Al McGartland, and Gary W. Yohe)

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    Fig. 1.

    Projected industrial CO2 emissions in baseline scenario. The figure compares the projections of the most recent DICE models and two model comparison exercises. The estimates from the MUP project are from ref. 5, and the EMF-22 estimates are from ref. 14.

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    Fig. 2.

    Global mean temperature increase as projected by IPCC scenarios and integrated assessment economic models. The figure compares the projections of the most recent DICE models, the IPCC RCP high scenario (RCP 8.5), and two model comparison exercises.

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    Fig. 3.

    Social cost of carbon and growth-corrected discount rate in DICE model. The growth-corrected discount rate equals the discount rate on goods minus the growth rate of consumption. The solid line shows the central role of the growth-corrected discount rate on goods in determining the SCC in the DICE model. The square is the SCC from the full DICE model, and the triangle uses the assumptions of The Stern Review (10). A further discussion and derivation of the growth-corrected discount rate is given in Supporting Information.

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    Table 1.

    Global SCC by different assumptions

    ScenarioAssumption20152020202520302050
    Base parameters
    Baseline*31.237.344.051.6102.5
    Optimal controls†30.736.743.551.2103.6
    2.5 degree maximum
    Maximum†184.4229.1284.1351.01,006.2
    Max for 100 y†106.7133.1165.1203.7543.3
    The Stern Review discounting
    Uncalibrated†197.4266.5324.6376.2629.2
    Alternative discount rates*
    2.5%128.5140.0152.0164.6235.7
    3%79.187.395.9104.9156.6
    4%36.340.945.851.181.7
    5%19.722.625.729.149.2
    • The SCC is measured in 2010 international US dollars.

    • ↵* Calculation along the reference path with current policy.

    • ↵† Calculation along the optimized emissions path.

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    Table 2.

    Regional SCC

    RegionSCC 2015, $/tCO2, 2010 $RICE 2010, % globalFUND 2013, % globalPAGE 2011, % globalThis study, % global
    United States4.781017715
    EU4.791224915
    Japan1.0723na3
    Russia0.91110na3
    Eurasia1.561nana5
    China6.611681121
    India2.93125229
    Middle East2.1610nana7
    Africa1.03116263
    Latin America1.877na116
    Other high income1.004nana3
    Other2.5012[28][16]8
    Global31.21100100100100
    • This table distributes the global SCC from Table 1 by region. The first and last columns assume that the SCC is proportional to the discounted value of output in each region over the 2020–2050 period, discounted at a discount rate of 5% per year. na, not available in the source document; tCO2, metric tons of CO2. Brackets around estimates are total of omitted regions.

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    Table 3.

    Estimates of SCC for 2020 from US Interagency Working Group and comparison with DICE model in 2010 US$

    Model and scenario5% per year discount rate on goodsDICE4% per year discount rate on goods3% per year discount rate on goods2.5% per year discount rate on goods
    Estimates of 2020 SCC from US Working Group, 2013 (2010$)
     DICE-201012nana4059
     PAGE23nana74105
     FUND3nana2237
      Average13nana4567
    Estimates for different DICE model versions (2010$)
     DICE-2013R1524265074
     DICE-2016R23374187140
    • Upper rows show estimates of the 2020 SCC from the IAWG. The three models have harmonized outputs, emissions, populations, and ETS distribution and use constant discount rates. Lower rows show the results of the estimates from the two latest versions of the DICE model for the baseline (Table 1) and using constant discount rates.

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    Table 4.

    Accounting for changes in SCC from DICE-2013R

    VersionModelSCC (2015), 2010 $Change, %
    1Dice-201631.23
    21 + old damages35.6314
    32 + old population33.36−6
    43 + old temp sensitivity30.58−8
    54 + old economics21.25−31
    65 + old carbon cycle16.01−25
    7DICE-2013R17.036
    • The table shows the impact of introducing model changes starting with the 2016 model and ending with the 2013 model in a step fashion. The last column shows the change moving from a later specification to an earlier one. A negative number in the last column is a decrease from 2016 to 2013. For example, introducing “old economics” in version 5 lowers the SCC by 25% relative to DICE-2016. The two major changes are economic assumptions and the carbon cycle (see Accounting for the SCC Changes Since DICE-2013R for a discussion).

Data supplements

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Social cost of carbon in DICE model
William D. Nordhaus
Proceedings of the National Academy of Sciences Feb 2017, 114 (7) 1518-1523; DOI: 10.1073/pnas.1609244114

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Social cost of carbon in DICE model
William D. Nordhaus
Proceedings of the National Academy of Sciences Feb 2017, 114 (7) 1518-1523; DOI: 10.1073/pnas.1609244114
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  • Social Sciences
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  • Article
    • Abstract
    • Structure of the DICE-2016R Model
    • Major Results for DICE-2016R
    • Estimates of the SCC
    • Uncertainty About the SCC
    • Accounting for the SCC Changes Since DICE-2013R
    • Conclusion
    • Model Version
    • Federal Regulations Using the SCC
    • Growth-Corrected Discounting
    • Damage Function Revision
    • Decomposition of the Change in SCC
    • Regional Estimates of SCC
    • Uncertainty Estimates
    • Acknowledgments
    • Footnotes
    • References
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