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Agenda for today 1. 2. 3. 4. Global warming and extreme events Summary of damages The 2 °C target Non-linearities, tipping points, and decisions 1 Estimates of Impacts on Agriculture late in the 21st C Impacts on net value of agriculture as percent of national or global income: Mendelsohn Cline North American + 0.4 % + 0.5 % Africa - 5.0 % - 4.0 % Global average - 0.2 % - 0.1 to -.05% Estimated effect of ag on output is small because (1) agriculture is small, (2) farmers can adapt, (3) CO2 is a fertilizer. Query: Assume this is for 2075 for constant share of ag. What if share declines by half? Source: Mendelsohn et al.; Cline 3 The tricky issue of declining share of agriculture 50 45 High income East Asia Latin America South Asia Sub-Saharan Africa Share of agriculture in GDP (%) 40 35 30 25 20 15 10 5 0 1965 1970 1975 1980 1985 1990 1995 2000 2005 4 Price of carbon emissions The basic analytical structure Marginal Damages Marginal Cost Pcarbon* 0 Market! Abatement* Abatement 5 Where does the marginal damage function come from? 1. Consider output as function of climate: Qt = f(Kt , Lt , At ; Tt ) This would be appropriate sum over sectors, individuals, countries, and time periods. 2. Then get the damage function as function of T relative to base T: Dt = f(Kt , Lt , At ; Tt ) - f(Kt , Lt , At ; T0 ) 3. We then relate temperature to past emissions: Tt = g( E0 , E1 , E2 , … , Et ) 4. From which we get the marginal damage function. Here, the marginal damage (sometimes called social cost of carbon) is: SCC t = MD t = [PV (D t )] / E t = [ v=t D ve rv ] / E t 6 First Generation Estimates of Aggregate Monetized Damages of CO2 Doubling, U.S., for present economy Source: IPCC, Second Assessment Report 7 8 Damage summary from Tol survey: global 6 Damages as percent of output 5 Dots from Tol survey 4 IPCC estimate 3 2 1 0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 -1 -2 -3 Global mean temperature increase (°C) 9 Damage summary: global 6 Dots from Tol survey Damages as percent of output 5 4 Line is Yale DICE/RICE model 3 2 1 0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 -1 -2 -3 Global mean temperature increase (°C) 10 Targets for international policy • Framework for international climate change policy is United Nations Framework Convention on Climate Change, ratified in 1994 • This stated target as “The ultimate objective … is to achieve … stabilization of greenhouse gas concentrations in the atmosphere at a level that would prevent dangerous anthropogenic interference with the climate system.” • No consensus on what is meaning of “dangerous anthropogenic interference “ . 11 The 2 °C target • Current policy has focused on a target of 2 °C rise from pre-industrial times. • Copenhagen Accord of December 2009, which “recognized … the scientific view that the increase in global temperature should be below 2 degrees Celsius.” • Sources of “scientific view”: – Climate history over long run – Possible tipping points in climate system – Thresholds for ecosystems 12 German Advisory Council on Global Change (1995) • In order to arrive at an approximate but sound assessment of the possible impacts of climate change…, the Council applies the principles of preservation of Creation [and] prevention of excessive costs. • The first principle, preservation of Creation in its present form, is presented within this scenario in the form of a tolerable “temperature window”. This window is derived from the range of fluctuation for the Earth’s mean temperature in the late Quarternary period. • This geological epoch has shaped our present-day environment, with the lowest temperatures occurring in the last ice age (mean minimum around 10.4 °C) and the highest temperatures during the last interglacial period (mean maximum around 16.1 °C). If this temperature range is exceeded in either direction, dramatic changes in the composition and function of today’s ecosystems can be expected. • If we extend the tolerance range by a further 0.5 °C at either end, then the tolerable temperature window extends from 9.9 °C to 16.6 °C. Today’s global mean temperature is around 15.3 °C, which means that the temperature span to the tolerable maximum is currently only 1.3 °C. 13 Long-term climate history 14 Non-linearities in the climate system Most of the impacts literature examines gradual climate change, with roughly linear systems and impacts. Scientists have been particularly concerned about discontinuities, abrupt climate change, tipping points, catastrophic impacts. From economic/decision point of view, thresholds can simplify decisions as to the optimal policy. … EXTREMELY SEDUCTIVE FOR POLICYMAKERS! Optimum Without Thresholds Marginal Abatement Cost 0 Marginal Damage Temperature* Temperature 16 Optimum With Single Thresholds Marginal Damage Marginal Abatement Cost 0 Temperature* Temperature 17 Tipping Elements in the Climate System “Tipping elements in the Earth’s climate system, “ T. M. Lenton, et al., PNAS, Feb 2008. Simulation of Melting IPCC, Science, AR4, p. 830 from Ridley. This is roughly for a 6 °C warming. Note that some climatologists think that this underestimates the rate of melting. 19 Hysteresis loops and Tipping Points for Ice Sheets Frank Pattyn, “GRANTISM: Model of Greenland and Antrarctica,” Computers & Geosciences, April 2006, Pages 316-325 20 Multiple Thresholds Total Damage 0 Temperature* Temperature 21 Optimum With Thresholds??? Marginal Abatement Cost 0 Marginal Damage Temperature* Temperature 22 Optimum With Multiple Thresholds 12 Abatement 10 Damages 8 6 4 2 0 0 1 2 3 4 5 6 Optimum With Multiple Thresholds: Cannot Use Simple Marginal Analysis! 12 10 8 6 Abatement Damages 4 Sum 2 0 0 1 2 3 4 5 6 Overall Assessment 25 Summary of Impacts Estimates Early studies contained a major surprise: Modest impacts for gradual climate change, market impacts, highincome economies, next 50-100 years: - Impact about 0 (+ 2) percent of output. - Further studies confirmed this general result. BUT, outside of this narrow finding, potential for big problems: - many subtle thresholds and tipping elements - abrupt climate change (“inevitable surprises”) - many ecological disruptions (ocean carbonization, species loss, forest wildfires, loss of terrestrial glaciers, snow packs, …) - stress to small, topical, developing countries - gradual coastal inundation of 1 – 10 meters over 1-5 centuries 26 Why Impact Analysis is So Difficult 1. Most impacts analyses impose climate changes on current socialeconomic-political structures. - Example: impact of temp/precip/CO2 on structure of Indian economy in 2005 2. However, need to consider what society will look like when climate change occurs. 3. Example of difficulties of looking backward: – 2 ˚C increase in 6-7 decades – that was Nazism, period of Great Depression, Gold Standard, pre-Keynesian macro – 4 ˚C increase in 15 decades –Ming Dynasty, lighting with whale oil, invention of telegraph, stagecoach, …. 4. In the end, it appears that major impacts are NON-MARKET, VERY DIFFICULT TO VALUE, and VERY CONTENTIOUS. 27