Climate Policy under Sustainable Discounted Utilitarianism



Table 1. Uncertain parameters for simulation of modified DICE-2007.

Parameter

Units

Functional
form

Mean

Standard
deviation

Source

Initial growth
rate of TFP

Per

year

Normal

0.0092

0.004

Nordhaus

(2008)

Asymptotic

global population

Millions

Normal

8600

1892

Nordhaus

(2008)

Rate of

decarbonisation

Per

year

Normal

-0.007

0.002

Nordhaus

(2008)

Total resources
of fossil fuels

Billion tons
of carbon

Normal

6000

1200

Nordhaus

(2008)

Price of back-
stop technology

US$ per ton of
carbon replaced

Normal

1170

468

Nordhaus

(2008)

Transfer coefficient
in carbon cycle

Per
decade

Normal

0.189

0.017

Nordhaus

(2008)

Climate

sensitivity

C per doubling of
atmospheric CO
2

Log-
normal

1.099*

0.3912*

Weitzman

(2009)

Damage function
coefficient α
3

Fraction of
global output

Normal

0.082

0.028

Own
estimate

*In natural logarithm space.

economic output, which in turn is determined in significant measure by productivity
growth and by the stock of labour. In addition, where a classical utilitarian SWF is
applied, the larger (smaller) is the population when the impacts of climate change
occur, the higher (lower) is the social valuation of climate damage. However, while
CO
2 emissions are proportional to output, the proportion is usually assumed to
decrease over time due to changes in economic structure away from CO
2-intensive
production activities, and to increases in the efficiency of output with respect to
CO
2 emissions in a given activity. In DICE, this is achieved by virtue of a variable
representing the ratio of emissions/output, which decreases over time as a function
of a rate-of-decarbonisation parameter. A further check on industrial CO
2 emissions
is provided in the long run by the finite total remaining stock of fossil fuels, which
is also treated here as an uncertain parameter.

The fifth uncertain parameter in Table 1 is the price of a so-called ‘backstop’ tech-

12



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