ACE1037:  ECONOMIC DEVELOPMENT & THE GLOBAL ENVIRONMENT


1. Climate Change
Economic Effects - The Stern Report etc.
The Social Cost of Carbon.

1.    Climate Change -  the critical challenge to the Global Economy


The Issues:
  1. Is climate change happening or likely to happen?
  2. If so, is human activity the cause?
  3. What are the possible consequences if we do nothing about it?
  4. What can be done to mitigate CC, and what are the costs?
  5. What are the costs (and benefits) of simply coping with it?
  6. What, then, should we be doing?
  7. Why are we not doing this already and what needs to change or be changed for the appropriate social and human response?
The science :  Notwithstanding the complexity, and hence essential unpredictability of the global climate and feedback systems, the UN International Panel on Climate Change (IPCC) reports (from the IPCC's 5th Assessment Report, 2014, (AR5) Summary for Policymakers) that:
Contributions to Global Temp. Change
Source: AR5 Summary, Figure SPM 3.

In addition: 
The IPCC report includes assessments of the consequences (see report, p10ff), some of which may be positive (e.g. increased cereal productivity in the temperate latitudes for at least a limited degree of warming, though declines for more substantial (>3oC warming)), but mostly negative c.f. present conditions. It also warns of the increased possibilities of abrupt and irreversible changes, such as melting of the Greenland (and West Antarctic) icecaps, raising sea levels by 6-7 metres, and exacerbating warming to + 5 - 6oC, or, less likely but possible, the elimination of the Gulf Stream. 

The answers to questions 1 & 2 are definitely yes and yes, according to the IPCC and many others.

Projections for the future are encapsulated in Fig SPM5, p9 of Summary for Policy Makers:
GHG Projections

"Cumulative emissions of CO2 largely determine global mean surface warming by the late 21st century and beyond. Projections of greenhouse gas emissions vary over a wide range, depending on both socio-economic development and climate policy.
Anthropogenic GHG emissions are mainly driven by population size, economic activity, lifestyle, energy use, land use patterns, technology and climate policy. The Representative Concentration Pathways (RCPs), which are used for making projections based on these factors, describe four different 21st century pathways of GHG emissions and atmospheric concentrations, air pollutant emissions and land use.
The RCPs include a stringent mitigation scenario (RCP2.6),
two intermediate scenarios (RCP4.5 and RCP6.0)
and one scenario with very high GHG emissions (RCP8.5).
Scenarios without additional efforts to constrain emissions (’baseline scenarios’) lead to pathways ranging between RCP6.0 and RCP8.5 (Figure SPM.5a). RCP2.6 is representative of a scenario that aims to keep global warming likely below 2°C above pre-industrial temperatures. The RCPs are consistent with the wide range of scenarios in the literature as assessed by WGIII" (SPM, p8)
NOTE: The RCPs cover a wider range than the scenarios from the Special Report on Emissions Scenarios (SRES) used in previous assessments, as they also represent scenarios with climate policy. In terms of overall forcing, RCP8.5 is broadly comparable to the SRES A2/A1FI scenario, RCP6.0 to B2 and RCP4.5 to B1. For RCP2.6, there is no equivalent scenario in SRES. As a result, the differences in the magnitude of AR4 and AR5 climate projections are largely due to the inclusion of the wider range of emissions assessed.

[The IPCC scenarios (SRES) depicting world growth and development trajectories (published in 2000, and not updated since) - the major ones are:

The major sources of GHG emissions: (from wg3-ar5-chapter 1)
Sources of GHG
where AFOLU - agriculture, forestry and other land uses - shows up as a major source, but not related to fuel consumption, and largely static over time. By sector, the largest sources of greenhouse gases were the sectors of energy production (34%, mainly CO2 from fossil fuel combustion), and agriculture, forestry and land-use (AFOLU) (24%, mainly CH4 and N2O)
Globally, emissions of all greenhouse gases increased by about 75% since 1970. Over the last two decades, a particularly striking pattern has been the globalization of production and trade of manufactured goods. In effect, high-income countries are importing large embodied emissions from the rest of the world, mainly the upper middle-income countries. Overall, per-capita emissions in the highly industrialized countries are roughly flat over time and remain, on average, about 5 times higher than those of the lowest income countries whose per-capita emissions are also roughly flat. Per-capita emissions from upper-middle income countries have been rising steadily over the last decade:
GHGbysource/countrygroup/decade

"One way to decompose the factors contributing to total emissions is by the product of population, GDP per capita, energy intensity (total primary energy supply per GDP) and the carbon intensity of the energy system (carbon emitted per unit energy). ..(the ‘Kaya Identity’ (Kaya, 1990)...
[GHG emissions = popn. x GDP/hd x Energy/GDP x GHG/energy unit]
"The analysis reveals enhanced growth in the 2000s of global income, which drove higher primary energy consumption and CO2 emissions." (ibid, p 128). "(That pattern levelled around 2009 when the global recession began to have its largest effects on the world economy.) Also notable is carbon intensity: the ratio of CO2 emissions to primary energy. On average, since 1970 the world’s energy system has decarbonized. However, in the most recent decade there has been a slight re-carbonization. In the portions of the global economy that have grown most rapidly, low-carbon and zero-carbon fuels such as gas, nuclear power and renewables have not expanded as rapidly as relatively high-carbon coal.
Interpreting the Kaya Identity using global data masks important regional and local differences in these drivers. For example, the demographic transition in China is essentially completed while in Africa population growth remains a sizable driver. Technology—a critical factor in improving energy and carbon intensities as well as access to energy resources—varies greatly between regions. The recent re-carbonization is largely the result of expanded coal combustion
in developing countries driven by high rates of economic growth, while across the highly industrialized world carbon intensity has been declining due to the shift away from high carbon fuels (notably coal) to natural gas, renewables, and also to nuclear in some countries. The simple Kaya identity relies on broad, composite indicators that neither explain causalities nor explicitly account for economic structures, behavioural patterns, or policy factors, which again vary greatly across regions. Technological change might allow for radically lower emissions in the future, but the pattern over this four-decade history suggests that the most important global driver of emissions is economic growth." (ibid, p 129)
Change in GHG
 
See, also, the IEA Energy Atlas, for trends in CO2/gdp etc.

Gillingham, Nordaus et al: “Modeling Uncertainty in Climate Change: A Multi‐Model Comparison” (Cowles Foundation, Sept. 2015) provide a recent comparison of the results of the Integrated Assessment Models (IAMs) used to estimate the effects and potential damages. The "Key Results"(p 41 - 43):
  1. central projections of the IAMs are remarkably similar at the modeler’s baseline parameters (possibly reflecting the fact that models have been used in model comparisons and may have been revised to yield similar baseline results).  However, the projections diverge sharply when alternative assumptions about the key uncertain parameters are used, especially at high levels of population growth, productivity growth, and equilibrium climate sensitivity
  2. Despite these differences across models for alternative parameters, the distributions of the key output variables are remarkably similar across models with different structures and levels of complexity. To take year 2100 temperature as an example, the quantiles of the distributions of the models differ by less than ½ °C for the entire distribution up to the 95th percentile. 
  3. Climate‐related variables are characterized by low uncertainty relative to those relating to most economic variables. (e.g) the model‐average coefficient of variation for carbon dioxide concentrations in 2100 is 0.28, while the coefficient of variation for climate‐change damages is 1.29. The social cost of carbon has an intermediate CV within models, but when model variation is included the CV is close to that of output and damages. 
  4. (There is) much greater parametric uncertainty than structural (across model) uncertainty for all output variables except the social cost of carbon. For example, in examining the uncertainty in 2100 temperature increase, the difference of model means (or the ensemble uncertainty) is approximately one‐quarter of the total uncertainty, with the rest driven by parametric uncertainty. While looking across six models by no means spans the space of methods, the six models examined here are representative of the differences in size, structure, and complexity of IAMs. This result is important because of the widespread use of ensemble uncertainty as a proxy for overall uncertainty and highlights the need for a re‐orientation of research towards examining parametric uncertainty across models.
  5. We find a lack of evidence in support of fat tails in the distributions of emissions, global mean surface temperature, or damages. Population growth, total factor productivity growth, and climate sensitivity are very likely to be three of the key uncertain parameters in climate change. Yet, based on both informal and formal tests, the models as currently constructed find that the tails are relatively thin.  (These)  results do not rule out fat tails, but they do provide empirical evidence against fat tails in outcomes investigated in this study for the current set of models and the distributions of the three uncertain variables considered here. These results tend to support the use of expected benefit‐cost analysis for climate change policy, in contrast to suggestions by some authors that neglect of fat tail events may vitiate standard analyses (Weitzman 2009).
  6. Sixth,... uncertainty about productivity growth has a major impact on the uncertainty of all the major output variables. The reason for this is that the uncertainty of productivity growth from the expert survey compounds greatly over the 21st century and induces an extremely large uncertainty about output, emissions, concentrations, temperature change, and damages by the end of the century."
2.   Economic Effects of Climate Change

The Social Science
?  - The Stern Review: (full report available here) The Economics of Climate Change, 2006, is probably the most prominent "CBA" ever conducted, to examine the issue of what should be done about Climate Change.  The Stern Review drew implications and conclusions from existing research, rather than conducting new research.  Furthermore, it is a government report, rather than a traditional scientific study, and was produced very quickly (for what it is). As Nordhaus (below) notes: "it is not a standard analysis" but a government report which emphasises the facts and evidence (including previous research) which supports the required conclusion - to do something about climate change, and was not subject to the usual scientific processes of peer review prior to publication, nor is strictly reproducable (the analysis is not sufficiently elaborated as to be replicable) - in part, because it is a 'review' and not a stand-alone, independent analysis. It has drawn a considerable amount of criticism and 'peer review' since publication.  The following notes distill the key aspects from some of the reviews:
  1. What are the possible consequences if we do nothing about it?
  2. What can be done to mitigate CC, and what are the costs?
  3. What are the costs (and benefits) of simply coping with it?
  4. What, then, should we be doing?
  5. Why are we not doing this already and what needs to change or be changed for the appropriate social and human response?
Summary of Stern. (From the Economist, Nov. 2. 2006 - my emphasis added) : "Sir Nicholas has tried to assess the future costs of climate change—drought in Africa, floods in Europe, hurricanes in America, rising sea levels around the world—and has set them against the costs of cutting fossil-fuel usage enough to stabilise carbon-dioxide concentrations in the atmosphere. His answer to the second part of this calculation is fairly uncontroversial. The costs of switching away from carbon should not be huge because of the rise in fossil-fuel prices and the fall in alternative energy prices. Sir Nicholas reckons that the world could stabilise concentrations at a reasonable level at a cost of 1% of GDP by 2050.  Many other economists have looked at the matter, and most agree with Sir Nicholas.

But SR dissents from the general view on the costs of climate change itself. Most economists who  have looked at the matter up to now reckon that, if greenhouse-gas emissions continue on their current  path, the costs of climate change would be between zero (where the benefits of warming to cold countries  balances out the costs) and 3% of global output over the next 100 years. SR thinks they would  be a massive 5-20% over the next century or two: in other words, world output could be up to a fifth  lower, as a result of climate change, than it otherwise would have been.  He justifies these high numbers on two main grounds. First, he says, the earlier estimates were based on  temperature increases of 2-3°C by the end of this century. But the science has moved on. A better understanding of feedback loops in the climate, such as the melting of Arctic ice, which increases the  region's tendency to absorb sunlight and therefore reinforces warming, means that, although 2-3°C remains the likeliest increase, scientists now think that warming of 5-6°C is a real possibility. That would be a massive jump: 5°C is the difference between the temperature now and in the last ice age.

Second, he points out, most economists have fed only the likeliest climate-change scenario into their models and ignored the outlying possibilities of catastrophe. Sir Nicholas has received plenty of support from economists (four Nobel prize-winners have endorsed the report) and a certain amount of criticism. One complaint is that he has selected the most pessimistic research and ignored more conservative work. Richard Tol, a professor at Hamburg University and a big noise in this field, (now at Sussex University) describes the report as “alarmist and incompetent”. Another criticism is that figures on the economic costs of climate change are bound to be nonsense because they are based on a cascade of uncertainties. Nobody knows just how much carbon dioxide the world is going to produce in future. Nobody knows just what it will do to the temperature. Nobody knows just how temperature rises will affect the world economy. These numbers are therefore too uncertain to act on. Sir Nicholas may well err on the gloomy side. And it is certainly impossible to predict precisely what effect climate change will have had on the world economy in a century's time.
But neither point invalidates Sir Nicholas's central perception—that governments should act not on the basis of the likeliest outcome from climate change but on the risk of something really catastrophic (such as the melting of Greenland's ice sheet, which would raise sea levels by six to seven metres). Just as people spend a small slice of their incomes on buying insurance on the off-chance that their house might burn down, and nations use a slice of taxpayers' money to pay for standing armies just in case a rival power might try to invade them, so the world should invest a small proportion of its resources in trying to avert the risk of boiling the planet. The costs are not huge. The dangers are."

Critical Factors in assessing/recommending Climate Change policies
Consequences of doing nothing (according to Stern) : 
** Note:  However, Tol & Yohe point out (p 237) that this particular model is rather atypical of such models in two important respects: a) PAGE allows for only a 5% probability that CC effects are net positive in the short run, while other models of this type put the probability at closer to 10%; b) PAGE assumes that vulnerability to CC is independent of development, though we 'know' that adaptive capacity and, thus, net sensitivity to CC is very site specific and path dependent - it does depend on development.]
Cost of doing something:  Stablising emissions at 550ppm CO2equivalent (which could limit increasing temperatures to 2-3oC) requires global emissions to peak in the next 10 - 20 years, and then fall at at least 1 - 3% per year (from present (2000) emissions of 40Gt CO2e peaking at about 60, and then falling to 20 Gt CO2e by 2100. Bottom line:  costs @ 1% GDP versus benefits of the order of 5 - 20% GDP = very strong case to do something (a lot) now. CB ratio of 5 - 20:1.   Key Points of contention.
The damage of climate change:  SR Estimates $314/tC ($85/tCO2) versus other estimates ranging from $50/tC - $360/tC. 
[Putting these figures into context, $50/tC is about equivalent to $12/barrel of oil while $360/tC is about $84/barrel of oil ($200/tC = $47/barrel)  The world oil price has climbed from about $40/barrel in 2006 ($20 in 2003) to > $100 in 2008, to $120/barrel in January 2012, but has subsequently declined to $45/barrel]

 SR has been criticised for taking the most pessimistic estimates for both the biophysics of climate change and of the human consequences, and of taking too little account of adaptation to climate change, or technological developments to cope with change (including not accounting for  developments in existing health and productivity for, especially, the poor, which are necessary anyway, regardless of CC).
Further charges are that SR is inconsistent in its assessment of different sorts of damages and their costs, including double counting the risk of catastrophic events (hurricane damages etc.), and presuming that the costs (risks) associated with uncertainty about actual climate change and its effects do not diminish with time, as we learn more about the effects and reduce the uncertainty. 
In any event, the damage estimates used by SR are considerably greater than existing economic assessments of the costs of climate change (which range between -2% (a net benefit) to +5% GDP) - Tol and Yohe, 2006. Even given SR's very low discount rate (see below), SR's damage costs are high - that is, when other estimates are adjusted to the same low discount rates, other studies report marginal damage costs of about $200/tC, with a range from about $50/tC to $360/tC. Without adjusting for the extreme discount rate, SR's estimate is at the extreme edge of all studies estimates (up to Dec. 2006), including those which have not been peer reviewed (Tol and Yohe, 2006).

The costs of mitigation:   SR @ 1% GDP (truncated) versus range of 0 - 7%GDP (permanent).  Tol and Yohe report that SR's range of emission reduction costs (centering on 1% GDP) is lower than the range of costs reported (for instance) in the latest results from the Energy Modeling Forum (EMF21) survey of multiple models, which range from 0 to 7% GDP, with a mean of 2%.  For 2050, EMF21 average cost is 2.2% GDP (though lower at 1.4% if other GHGs are included as well as CO2).  Furthermore, and perhaps even more importantly, SR truncates the costs of mitigation at 2050, and does not consider costs beyond this date (by which emissions are supposed to be stabilized at 550ppm).  EMF21 results show average costs rising to 6.4% (4.8%) by 2100. 

In fact, the major source used by SR for its cost estimates has (perhaps worryingly) costs falling from now until 2050 (from $360/tC in 2005 to $96/tC in 2050). In contrast EMF21 shows these costs rising (and, incidentally, being much more uncertain) from a very low level to $360/tC (range 0 - $1850/tC).  Coupled with the discount rate used (see below), this treatment of costs of mitigation (low underlying costs, declining costs, and truncation of the horizon) produce substantially lower abatement costs than the other literature suggests.

Comparability of Costs and Benefits
Tol & Yohe (op cit) note that SR's estimates of the damage of climate change are "about eight times those of the CEC (2005)*, while abatement cost estimates are only about four times as high. Nonetheless, SR advocates a climate target that is less stringent than does CEC and devotes no effort to explaining the discrepancy." (T&Y, p. 240).
* CEC (2005): Winning the battle against global climate change, Communication from the Commission to the Council, the European Parliament, the European Economic and Social Committee of the Regions COM (2005) 35 final, Commission of the European Communities.

3.   The Social Cost of Carbon.
SR reports marginal damage costs (the Social Cost of Carbon) as $85 per tonne CO2e, as the cost of an additional emission of another tonne, which is equivalent to $314/tC which is an outlier in the marginal damage cost literature on climate change.  This cost, SR suggests, starts "in the region of $25-30 per tonne CO2e" to achieve a target of 500ppm (p xvii), where the "social cost of carbon is likely to increase steadily over time because the marginal damages increase with the stock of GHGs in the atmosphere, and that stock rises over time."

In marked contrast, Nordhaus, 2014, estimates the Social Cost of Carbon (SCC) - see below  "as $18.6 per ton of CO2 in 2005 US dollars and international prices for the current period (2015). For the central case, the real SCC grows at 3% per year over the period to 2050 [$53.1 per ton]. The major open issues concerning the SCC continue to be the appropriate discount rate, the potential for catastrophic damages, the impact of incomplete harmonization of abatement policies, and the effects of distortionary taxes." 


How do we measure the Social Cost of Carbon?
The Social Cost of Carbon

The present value of the differences in the future stream of welfare (consumption) requires us to discount future gains/losses to the present (the discount rate
) SR's discount rate is very low (small), cf most others. Stern applies a Social time preference rate of 0.1%, (extremely low by conventional standards - more usually 1 - 2% or greater), which is then combined with a consumption elasticity of 1 (more typically 2 or 3) and assumed growth rates of 2, 1.8 and 1.3% per head per annum over the next three centuries respectively, producing (according to the Ramsey formula below) discount rates of 2.1, 1.9 and 1.4 for the next three centuries respectively (though these rates have taken some additional enquiry to recover, since they are not actually made explicit in the SR (see Byatt et al (below), p 212). [Under more conventional assumptions (e.g.Nordhaus) about the consumption elasticity and social time preference rates, the discount factor would be more like 4% or 5%]


The Ramsey Formula: Note on Intergenerational Discounting:  It is necessary, in making judgements between different outcomes over different generations, to presume a social welfare function, according to which society's total welfare depends on (is a function of) consumption (in turn depending on income and production). If the welfare function is assumed (for convenience) to exhibit a constant elasticity of marginal utility of consumption (see below) , and we also assume a constant population and a constant rate of growth of consumption (g) per generation, then the appropriate social discount rate, (sometimes referred to as the Utility or Consumption discount rate) δ, by which consumption of future generations (and thus their income and costs) should be discounted is classically expressed as:

δ = ρ + gη (sometimes known as the Ramsey equation after the economist who first derived the expression, in 1928)

Nordhaus, 2014, op cit. (or, if you are really interested, see here for the full model manual, and here for the GAMS and Excel codes and specs) provides the following estimates of the SCC, using the DICE2013 model. (DICE is an acronym for Dynamic Integrated model of Climate and the Economy). 

"The DICE model views climate change in the framework of economic growth theory. In a standard neoclassical optimal growth model known as the Ramsey model, society invests in capital goods, thereby reducing consumption today, in order to increase consumption in the future (Ramsey 1928; Koopmans 1965). The DICE model modifies the Ramsey model to include climate investments, which are analogous to capital investments in the standard model. The model contains all elements from economics through climate change to damages. The geophysical equations are simplified versions derived from large models or model experiments." (p 276.)

In highly simplified terms:
Objective:  Maximise Social Welfare = discounted sum of per capita Cons x popn. (to mimic (simulate) the outcomes of a competitive economy)

Net Income (Y) = C + I

I = S (requiring 'equilibrium' interest rates:  "capital accumulates according to an optimized savings rate.")

Y = f(Capital (K), Labour, Energy and Technology) - climate damage (a function of Y) - abatement costs 
[Tech change = general change & carbon saving change, encouraged as carbon becomes more expensive]

K depends on Savings, labour depends on population (exogenous)


"The philosophy behind the DICE model is that the capital structure and rate of return should reflect actual economic outcomes. This implies that the parameters should generate savings rates and rates of return on capital that are consistent with observations. ..The data on rates of return used in the calibration are as follows:
(a) the risk-free real return, generally taken to be US or other prime sovereign debt, is in the range of 0%–1% per year depending upon period, concept, and tax status;
(b) the rate of return on risky capital of large corporations in mature markets, after company taxes but before individual taxes, is in the range of 5%–8%
per year depending on period, concept, and tax status;
(c) the rate of return on risky investments in illiquid or immature markets, as well as for poorly capitalized individuals, is generally much higher than for corporations and ranges from 0% to 100% per year depending on the circumstances;
(d) it is unclear how much of the difference between the return on risky capital and the risk-free return is compensation for nondiversifiable risk (see Mehra 2008), but for the present study I assume that the equity premium reflects nondiversifiable risks;
(e) the extent to which climate investments are correlated with systematic consumption risk is an open question, although preliminary work from Nordhaus (2008) and Gollier (2013) suggest a relatively high consumption beta. For the present study, I assume that the consumption beta on climate investments is close to one.
Based on these considerations, I assume that the rate of return relevant for discounting the costs and benefits of climate-sensitive investments and damages is 5% per year in the near term and 4.5% per year over the period to 2100. This is the global average of a lower figure for the United States and a higher figure for other countries, and it is therefore consistent with estimates in other studies that use US data. ..
"With this calibration, we choose the pure rate of social time preference (ρ) to be 1.5% per year and the consumption elasticity (α) to be 1.45.” (p279/280)", which results in a discount rate of 4.5% with growth at 2% per year.
NordhausSCCIn $/ton CO2
“(Sometimes estimates are given in dollars per ton of carbon. The carbon weight is 1/3.667 times the CO2 weight, so the carbon price is 3.667 times the CO2 price, in this case $18.6 per ton of CO2 is $68 per ton of carbon.) This SCC rises at a real rate of 3% per year over the period to 2050. The rate of change of the SCC depends upon several factors, particularly the rate of growth of world output, the removal rate of atmospheric carbon, and the discount rate” (p 284).
[1 tonne of CO2 is represented by 3.15 barrels of oil]
The Baseline is present global policies (base 2010)
Optimal controls: " optimizes the time path of emissions reductions and investment" (p 283) - the model represention of competitive markets outcomes
“the marginal damage in early periods is only slightly affected by optimizing emissions.” (p284).
2oC Damage limitation functions:  “More precisely, I assume that the 2°C target reflects a cost-benefit optimum with a different damage function, which is denoted the “2-degree-consistent damage function.” This is implemented by increasing the first-order damage coefficient. .. I did this for two different cost-benefit solutions. In the first, the cost-benefit optimum produces a maximum temperature increase for the 2050– 2250 period that is 2°C above the 1900 level. In the second, the cost-benefit optimum produces average temperature increases for the 2050–2250 period that are 2°C above the 1900 level. The rationale of the second approach is that many of the damages (such as ice-sheet melting and sea-level rise) are better approximated by a function of the average than the maximum temperature.” (p285) “As an interpretive note, while the implicit damage coefficient associated with the Copenhagen maximum target is not impossibly high, no credible estimates in the literature exist to justify such high damage rates. However, the coefficient associated with the 2°C average is not outside the range of hypothesized damages estimates.” (p 286) “The conclusion here is as follows: economic models may not incorporate all the concerns of scientists and policy makers about the damages of climate change. The current damage estimates may significantly underestimate the damages because of impacts that are difficult to monetize (such as ecosystem effects) or concerns about catastrophic outcomes. If we increase the damage function so that the economic optimum coincides with the 2°C target, we find that the SCC rises sharply. The implicit damage function in the 2°C maximum target is much larger than any estimate from the damage literature.” (p 286)
Stern Review discounting: “Row 5 in table 1 takes the parameters of the model and only changes the pure rate of social time preference ( ρ) from 0.015 to 0.001 per year, the latter being the rate assumed in the Stern Review. The Stern uncalibrated run has a SCC of $89.8 per ton of CO2—almost five times the SCC with baseline discounting. (We do not show the SCC along the optimal path, but it is about one-third smaller because of the larger damages and lower discounting.)” (p 287)
"Stern Review, (recalibrated) shows the results of recalibrating the model to match market discount rates. To recalibrate with a rate of time preference using the Stern Review value ( ρ = 0.001), we need to raise the rate of inequality aversion (from α = 1.45 to α = 2.1). The calibration keeps the rate of return at the baseline average for the first 30 years.
High alternative discount rate. "This scenario raises the pure rate of time preference to 3.5% per year. The rate of return is approximately 2 percentage points higher than the baseline, and the SCC is approximately one-third the baseline case. The SCC is also much lower." (p287)

In the following charts, a further scenario (Copen) is also included: "Copenhagen Accord. In this scenario, high-income countries are assumed to implement deep emissions reductions over the next four decades, with developing countries following gradually. It is assumed that implementation is through system of national emission caps with full emissions trading within and among countries (although a harmonized carbon tax would lead to the same results). We note that most countries are not on target to achieving these goals." (DICE manual, p. 25).

DICE CO2 Emissions trajectories (Manual, p 29):
DICE emissions trajectories

DICE Global Temperature change trajectories (Manual, p. 31)
DICE temp trajectories

DICE SCC trajectories (manual, p. 33)
DICE SCC trajectories

Important Additional Notes:  Nordhaus updates (2017 and 2017a) show substantial increases in these estimates of SCC from the 2013R model:
"Perhaps the most dramatic revision has been the social cost of carbon (SCC). The SCC for 2015 has been revised upwards from $5 to $31 per ton of CO2 over the last quarter-century. This is the result of several different model changes as shown in Table 6. While this large a change is unsettling, it must be recognized that there is a large estimated error in the SCC. The estimated (5%, 95%) uncertainty band for the SCC in the 2016R model is ($6, $93) per ton of CO2. This wide band reflects the compounding uncertainties of the temperature sensitivity, output growth, damage function, and other factors. Moreover, it must be recognized that analyses of the social cost of carbon were not widespread until after 2000. Finally, estimates of the SCC are both highly variable across model and specification and have increased substantially over the last quarter-century. If we take early estimates of the SCC from two other well-known models (PAGE and FUND), these were close to estimates in the DICE1992 model." (Nordhaus 2017a, p 8-9)

Clearly, the SCC depends very critically on the choice of the discount rate.
Goulder and Williams, 2012, provide a readable discussion of this critical issue (see, also, Arrow et al., 2014). GW argue that the social discount rate "has been used for two very different notions: what we will call the social-welfare-equivalent consumption discount rate (rSW) and the finance-equivalent consumption discount rate (rF) (p2).  "the same (discounting) function serves both as a behavioral function (to indicate how individuals actually would behave under various conditions) and as a social welfare function (to indicate how individuals or societies should behave)” (p 3).
"Ethicists often argue that future utility should not be discounted—that the well-being of future generations should count as much as that of the current generation in a social welfare function. This suggests a value of zero for the social rate of time preference—or perhaps a very low value to reflect the possibility that, because of a future exogenous calamity (for example, an asteroid’s hitting the earth), some future generations might not ever arrive. Using this logic, the Stern Review employs a value of .001 for the social rate of time preference, which we designate by ρ. Consumption discount rates, in contrast, translate values of future consumption into equivalent values of current consumption. There is no necessary contradiction between employing a (positive) discount rate to future consumption and maintaining the view that future utilities should not be discounted” (p 4)
rSW "serves to convert future consumption into a level of current consumption that is equivalent in terms of social welfare...A relevant empirical issue is the extent to which increments to consumption lead to higher individual well-being. A relevant ethical question is how much an increment to consumption should count in the social welfare function”(p 7). "So long as the sacrifice of current consumption is less than ΔCt / (1+rSW)t (assuming no other impacts), the policy raises social welfare." (p 10)
rF "is the marginal product (or marginal opportunity cost) of capital. The rate rF indicates how consumption levels are connected across time: if society forgoes one unit of consumption in any given period in order to increase the capital stock, this will increase the amount available for consumption in the next period by 1 + rF.  If capital is paid its marginal product (that is, if the capital market is undistorted), then the market rate of interest will equal rF. Similarly, if the individual savings/consumption decision is undistorted and individuals are not liquidity constrained, then individuals will discount consumption at the rate of interest. If any of these markets are distorted, however, then individuals may discount consumption at a rate that differs from rF”(p  8)  "rF is appropriate if one wishes to determine whether the policy would yield a potential Pareto improvement: that is, whether the winners from the policy could in theory compensate all the losers and still be better off" (p 10)
“Specifically, consider the case in which rSW < rF. In this circumstance, suppose that a particular climate change policy (with costs ΔC0 now and benefit ΔCt at time t) has positive discounted net benefits when using rSW as a discount rate, but negative discounted net benefits when using rF. In this this case, the policy increases social welfare. But it also in effect transfers resources from the present to the future. The government could achieve a larger increase in social welfare by making a similar transfer of resources to the future via the capital stock. Or, put differently, the climate policy is a less efficient way to transfer resources to the future than a policy that increases the capital stock.  In this case, what action should the government take on the climate policy? The answer depends on what the options are. If the choice is simply whether to enact the climate policy or not, without any other policy changes, then the policy is worth enacting: it increases social welfare. If the choice is between the climate policy and a similarly costly transfer to future generations via the capital stock—one cannot do both—then using the capital stock would be better” (p 11).
But, if world governments actually do make this choice - to increase the capital stock to pass on to future generations (instead of a climate policy), then this " means consuming less and saving more now. This implies both a higher rSW (since consuming less and saving more now will increase the rate of growth of consumption over time, thus increasing rSW) and a lower rF (because increasing the capital stock will lower the marginal rate of return to capital). At the social welfare optimum, the two rates will be the same, at values somewhere above the original value of rSW but below the original value of rF. At the optimum, both rates give the same answer about whether the candidate climate policy is worthwhile—that is, the proposed policy will either pass both the social-welfare-improvement and the Kaldor-Hicks tests or fail both” (p 11/12)
GW conclude: "As is current practice, the behavioral function can be parameterized so as to generate plausible behavioral responses and plausible values for the opportunity cost of capital. Nordhaus, for example, might wish to stick with the parameters that he arrived at for the behavioral function in DICE. At the same time, a social welfare function can be superimposed on the model to evaluate the outcomes that the behavioral function and other aspects of the model. The social welfare function would not alter the behavior of the model; it would only evaluate the outcomes.” (p 13/14)  Taking uncertainty about interest rates (either about the growth rate or about the future opportunity costs of capital) into account, GW argue, "roughly doubles the expected discounted benefits from climate mitigation policy" (p 17).

Ken Arrow, 2007, however, makes the following compelling argument (my emphasis added):  "Many have complained about the Stern Review adopting a value of zero for ρ, the social rate of time preference. However, I find that the case for intervention to keep CO2 levels within bounds (say, aiming to stabilize them at about 550 ppm) is sufficiently strong as to be insensitive to the arguments about ρ . To establish this point, I draw on some numbers from the Stern Review concerning future benefits from keeping greenhouse gas concentrations from exceeding 550 ppm, as well as the costs of accomplishing this.
The benefits from mitigation of greenhouse gases are the avoided damages. The Review provides a comprehensive view of these damages, including both market damages as well as nonmarket damages that account for health impacts and various ecological impacts. The damages are presented in several scenarios, but I consider the so-called High-climate scenario to be the best-based. Figure 6-5c of the Review shows the increasing damages of climate change on a “business as usual” policy. By the year 2200, the losses in GNP have an expected value of 13.8% of what GNP would be otherwise, with a .05 percentile of about 3% and a .95 percentile of about 34%. With this degree of uncertainty, the loss should be equivalent to a certain loss of about 20%.
The base rate of growth of the economy (before calculating the climate change effect) was taken to be 1.3% per year; a loss of 20% in the year 2200 amounts to reducing the growth rate to 1.2% per year. In other words, the benefit from mitigating greenhouse gas emissions can be represented as the increase in the growth rate from today to 2200 from 1.2 % per year to 1.3% per year.
We have to compare this benefit with the cost of stabilization. Estimates given in Table 10.1 of the Stern Review range from 3.4% down to -3.9% of GNP. (Since energy-saving reduces energy costs, this last estimate is not as startling as it sounds.) Let me assume then that costs to prevent additional accumulation of CO2 (and equivalents) come to 1% of GNP every year forever.
Finally, I assume, in accordance with a fair amount of empirical evidence, that η, the component of the discount rate attributable to the declining marginal utility of consumption, is equal to 2. I then examine whether the present value of benefits (from the increase in the GDP growth rate from 1.2% to 1.3%) exceeds the present value of the costs (from the 1% permanent reduction in the level of the GDP time profile).
A straightforward calculation shows that mitigation is better than business as usual — that is, the present value of the benefits exceeds the present value of the costs — for any social rate of time preference (ρ) less than 8.5%. No estimate for the pure rate of time preference even by those who believe in relatively strong discounting of the future has ever approached 8.5%. These calculations indicate that, even with higher discounting, the Stern Review’s estimates of future benefits and costs imply that current mitigation passes a benefit-cost test. Note that these calculations rely on the Stern Review’s projected time profiles for benefits and its estimate of annual costs. Much disagreement surrounds these estimates, and further sensitivity analysis is called for. Still, I believe there can be little serious argument over the importance of a policy of avoiding major further increases in combustion by-products. "

The Bottom Line?
In the simplest of terms, burning up fossil fuel reserves, which took millions of years to lay down, in 3 - 500 years is clearly going to affect substantially the planet's carbon balances and cycles. These affects are practically certain to affect the planet's bio-physical characteristics, and very probably for the worse compared to our known histories and experience. In effect, the critical choice here is about precautionary 'investment' behaviour, rather than speculative (accumulation) behaviour - in which case we are not  concerned with so-called 'consumption smoothing' (wealth accumulation) calculus, but much more about 'catastrophe' insurance under extreme uncertainty - what does the extreme case look like, and how badly do we need to try and avoid it?
Here, Weitzman (2007) points out that concern over a highly uncertain future substantially alters the necessary calculus. ["The overarching problem is that we lack a commonly accepted usable economic framework for dealing with these kinds of thick-tailed extreme disasters, whose probability distributions are inherently difficult to estimate (which is why the tails must be thick in the first place). But I think progress begins by recognizing that the hidden core meaning of Stern vs. Critics may be about tails vs. middle and about catastrophe insurance vs. consumption smoothing.", Weitzman, below, p 723].
If so, the SR is 'near enough for farm work' - its concentration on the more extreme possibilities of damage from CC is justifiable on precautionary grounds, as is the choice of relatively low discount rates, while the additional weight given to the less advantaged is also justifiable (not least because these people can be expected, one way or another, to try and hold the "west" to account, and the ways they choose, given that they have little to lose, may prove extremely uncomfortable to the 'west'.)

Action (or not) on Climate Change is:
  1. a choice about the future versus the present, especially about our childrens' and their childrens' life chances and opportunities ("the enormously unsettling uncertainty of a small, but essentially unknown (and perhaps unknowable), probability of a planet Earth that in hindsight we allowed to get wrecked on our watch.", Weitzman, below, p722). Inter-temporal choice (decisions and actions with effects across time) under extreme uncertainty (hardly even reducible to any sort of 'probability') is at the heart of the issue.
  2. a choice about what precautions to take (what insurance to hold), rather than a choice between alternative productive investments (which is a perspective that, perhaps, better reflects the rich point of view rather than that of the less advantaged).
  3. a choice about distribution - the spread of costs and benefits amongst people with very different capacities and capabilities to cope and adjust. Who is affected and how they can cope is critical. It is, perhaps, commonly assumed that the richest 20% of the planet's population will be able to cope, albeit at a cost, with more or less anything that CC can throw at us - we are rich, inventive and ugly enough to take care of ourselves whatever the circumstances (- hence the speculative/wealth accumulation perspective).  But this clearly does not hold for the other 80%, who are likely to be much more concerned about the possibility of catastrophe).
  4. a Social (collective) choice about the externalities of GHG emissions for a quintessential public good (bad) at the global level (our global climate system, with which we and our children will all have to live) - which requires, at bottom, a common world view and associated action, which is, therefore, necessarily a political choice, and clearly requires global leadership and global governance -> the Paris Agreement, under the United Nations Framework Convention on Climate Change. (see, also, Economist report, Dec 19, 2015, and their Climate Change page). The Paris Agreement focuses on "Intended Nationally Determined Contributions" (INDCs) as countries publicly outlined post-2020 climate actions they intend to take under the  international agreement, documented by the World Resources Institute.
KEY References
W. Nordhaus, "Review of Stern Review", Journal of Economic Literature, XLV, Sept, 2007, 686 - 702
M. Weitzman, "Review of Stern Review", Journal of Economic Literature, XLV, Sept., 2007, 703 - 724.
R.S.J. Tol & G. W. Yohe, "Review of Stern Review", World Economics, 7, (4), Oct - Dec, 2006, 233 - 250
R. M. Carter et al, and I. Byatt et al., "The Stern Review: a Dual Critique", World Economics, 7, (4), Oct - Dec, 2006, 165 - 232.
K. Arrow, "Global Climate Change: a Challenge to Policy", The Economist's Voice, www.bepress.com/ev, June, 2007
See, also, , Tufts GDAE: Economics of Climate change (Jonathan M. Harris, Brian Roach and Anne-Marie Codur)

A World Carbon Tax? Increasing the price (cost) of emitting GHGs by taxing activities which produce them is the most obvious answer to the global externality of global warming. Taxing emissions would, effectively, internalise the externality, and require everyone to take account of their effects on the climate in all their actions and activities. But, setting such a tax at an appropriate level to apply world-wide is practically impossible. As the Stern Review says: "However, the international harmonisation of carbon taxes can be extremely difficult in practice. Seeking an internationally uniform tax would preclude national discretion about ways of implementing environmental goals; and this may conflict with national sovereignty and the practical politics of domestic policy formation. There are also practical and political challenges in creating large-scale flows to poor countries, to support an equitable distribution of effort, through public budgets alone." (SR, Chap 22, p 470).  See, also, Economist, 19.09.11 - "Do economists all favour a carbon tax?"

Carbon Trading? A possibly more practical alternative is to agree a total global target for GHG emissions as a global limit - which should be agreed for the forseeable future.  Take, for example, the SR presumption that we need to aim at reducing global emissions to 20GtCO2e by the end of this century (SR, Summary for Policymakers, Figure 2, p xii), from a present total of 40Gt rising to 60Gt by 2020.  Suppose all countries can agree on this overall objective.  Countries now need to agree to a distribution of these global targets over time amongst themselves - not an easy task, but perhaps more realisable than agreeing a global carbon tax rate, again possible through progressing the Paris Agreement beyond "nationally determined contributions".

The Principles:  Suppose, as a starting point, we distribute the 2020 target of <60GtCO2e across countries according to a simple average global per capita target times each country's population (approx. 9t/head). ("The ‘growth-needs’ approach applied simplistically suggests distribution on an equal per capita basis" (SR, Ch 22, p 473/4). We need also to agree how these limits will be progressively reduced to achieve the target of 20Gt by 2100 (2.2t/hd at a projected world population of 9 billion). We need to reduce per head emissions by 7t/head over this century (effectively, given the time necessary to reach agreement, over 70 - 80 years, or approximately by 1 tonne per head per ten years). Each country would agree to the associated limits on national emissions, progressively reducing as we approach 2100, and each would be obliged to take the necessary steps to achieve these targets (subject to international sanctions of various sorts - such as monetary fines or trade retaliations - and subject to an international authority charged with monitoring emissions and developing/implementing a common system of carbon accounting). One obvious (though not necessarily simple) way any country might do this is to further allocate their national quota to (in principle) everyone in the country (establishing a carbon ration for everyone in the country).

As well as being required to file a tax return every year, each household could, under this general principle, be required to file a carbon account every year as well (the organisational and institutional problems should not be under-estimated!), In effect, every person has a carbon ration book, and must make their carbon account balance (subject to penalty). If they exceed their ration, they must get (pay for) some additional ration.  If they have spare rations, they can sell them to those who need them.

One can imagine a global market in carbon rations - with the rich buying from the poor, and establishing a market price for carbon in the process, which would reflect the costs of mitigating emissions to achieve the global and associated national targets, and encourage greater efficiency in using carbon.

The Practice?  Of course, such a system would be impossibly difficult (expensive) to contemplate in practice (except, perhaps, by the end of this century).  However, the bulk of at least CO2 emissions are generated (in the first instance) by power companies and fuel distributors (as well as by those responsible for the burning or exploitation of standing forests, wetlands etc.).  It is not beyond possibility that these relatively few and very large players (businesses) should be required to meet their 'share' of the global and national quotas and to balance their 'share' of the associated rations.  Once established, these companies would be expected to trade their emission rights (quota), and so establish a price for carbon reflecting the costs of achieving the targets, and encouraging the minimisation of these costs. International emissions trading is already allowed for and sanctioned under the Kyoto protocol (e.g SR, Ch 22, p 476, which also outlines other emissions trading systems in operation already, including the EU's emission trading scheme (which fell foul of the basic error when first introduced that the overall quota limits were set too high, with the result that the emissions quotas were virtually valueless - there was no price to be paid for carbon emission rights).  As Stern says:

"A global quantity constraint can be used to drive intergovernmental trading of emissions quotas, and this has already been adopted within the current multilateral framework, the Kyoto Protocol. Moreover, as we explained in Chapter 14, a key benefit of trading schemes for emissions quotas is that they allow the cost-effectiveness (via a common price) and distributional equity of action (via flows based on quota allocations) to be managed separately but simultaneously. In a global and comprehensive system of quota trading, the initial allocation of national limits on emissions affects the distributional equity of the scheme, but not the equilibrium distribution of emissions reductions, the market-determined carbon price or the costs of abatement." (SR, Chap 22, p 471)

"There is no single formula that is likely to capture in a satisfactory way all relevant aspects of an equitable distribution of effort between countries across the various dimensions and criteria – but the criteria tend to point in similar directions" (rich countries taking a greater share of the costs of mitigation, but not necessarily the same arrangements or rules for sharing those costs). (SR, Chap 22, p 473 - 4)

"Nevertheless, the concepts underlying the Protocol – in particular, the aspiration to create a single, efficient carbon price across countries through the use of emissions trading and the recognition that mechanisms are required to make finance and technology available to poor countries on the basis of equity – are very valuable. These are elements to be strengthened within any future regime for action on climate change." (SR, Ch. 22, p 478)

How might we get there from here?  This is the critical problem, from this perspective. The next 15 years are vitally important - which is the time it will take to get the planet's house in order if we are to meet this global challenge. It is in this sense, I suggest, that the urgency pervading the Stern Review (in contrast to the conventional economic prescription of starting slowly and 'ramping up') is to be understood - as a political problem rather than a strictly economic problem - the need to convince politicians, and their constituents, of the urgent need to (plan to) do something serious.

So, agree on the above outline - essentially the 2030 - 2100 global totals and distribution of carbon quota, and the principles of carbon trading, and then agree on a phased transition to this system from now until 2030 - by, perhaps, an initial quota allocation which progresses from the indicative Kyoto allocations to the 2030 "equitable" allocations, which would allow some growth ceilings for developing countries, but also some hard limits for the developed world. So long as these limits in the developed world are hard enough to generate a serious and increasing carbon price, the developed world and its businesses can be relied upon to develop the necessary carbon trading systems and practices, and the necessary common carbon accounting systems that go with them.  Once in place, these can then readily be extended to the rest of the world.

The UK?
The UK Government introduced a Climate Change Act, 2008, and has committed the UK to carbon reduction (via the Energy White Paper, 2007) under its Carbon Reduction Committment,  and now requires all government appraisals to account for the costs of carbon:  "We use the shadow price of carbon (SPC) to value the increase or decrease in emissions of greenhouse gas emissions resulting from a proposed policy. Put simply, the SPC captures the damage costs of climate change caused by each additional tonne of greenhouse gas emitted, expressed as carbon dioxide equivalent (CO2e) for ease of comparison. The new guidance brings the value of carbon included in appraisals into line with the Stern Review’s assessment of the social cost of carbon. The SPC is different from the previously used social cost of carbon (SCC) in that it takes more account of uncertainty and is based on a stabilisation trajectory."This paper represents the current (Feb, 2008) position of the UK government on carbon pricing in government related assessments of projects and programmes, and includes a schedule of indicative carbon emission shadow prices to be attached to carbon emissions from 2015 to 2035.



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