Abstract
We use recent advances in time series econometrics to estimate the relation among emissions of CO2 and CH4, the concentration of these gases, and global surface temperature. These models are estimated and specified to answer two questions; (1) does human activity affect global surface temperature and; (2) does global surface temperature affect the atmospheric concentration of carbon dioxide and/or methane. Regression results provide direct evidence for a statistically meaningful relation between radiative forcing and global surface temperature. A simple model based on these results indicates that greenhouse gases and anthropogenic sulfur emissions are largely responsible for the change in temperature over the last 130 years. The regression results also indicate that increases in surface temperature since 1870 have changed the flow of carbon dioxide to and from the atmosphere in a way that increases its atmospheric concentration. Finally, the regression results for methane hint that higher temperatures may increase its atmospheric concentration, but this effect is not estimated precisely.
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References
Albritton, D. L. and Meira Filho, L. G.: 2001, ‘Technical summary’, in: Houghton et al. (eds.), Climate Change 2001: The Scientific Basis. Cambridge University Press, New York.
Allen, R. J., Nicholls, N., Jones, P. D. and Butterworth, I. J.: 1991, ‘A further extension of the Tahiti-Darwin SOI, early SOI results and Darwin pressure’, J. Clim. 4, 743–749.
Anderson, T. W.: 2005, ‘Origins of the limited information maximum likelihood and two-stage least sqaure estimators’, J. Econ. 12(1), 1–16.
Anderson, T. W. and Rubin, H.: 1949, ‘Estimation of the parameters of a single equation in a complete system of stochastic equations’, Annal. Math. Stat. 20, 46–63.
Andronova, N. G. and Schlesinger, M. E.: 2000, ‘Causes of global temperature changes during the 19th and 20th century’, Geophys. Res. Lett. 27, 2137–2140.
Angell, J. K.: 1988, ‘Impact of El Niño on the delineation of tropospheric cooling due to volcanic eruptions’, J. Geophys. Res. 93, 3697–3704.
A. S. L. and Associates, Sulfur Emissions By Country And Year, Report No: DE96014790, US Department of Energy, Washington DC, 1997.
Bacastow, R. B.: 1976, ‘Modulation of atmospheric carbon dioxide by the southern oscillation’, Nature 261, 116–118.
Craig, S., Holmen, K., and Bjorkstrom, A.: 1997, ‘Net terrestrial carbon exchange from mass balance calculations: an uncertainty estimate’, Tellus 49B, 136–148.
Cubash, U. and Meehl, G. A.: 2001, Projections of future climate change, in: Houghton et al. (eds.), Climate Change 2001: The Scientific Basis. Cambridge University Press, New York.
Dickey, D. A. and Fuller, W. A.: 1979, ‘Distribution of the estimators for autoregressive time series with a unit root’, J. Am. Stat. Assoc. 74, 427–431.
Dettinger, M. D. and Ghil, M.: 1998, ‘Seasonal and interannual variations of atmospheric CO2 and climate’, Tellus 50B, 1–24.
Dlugokencky, E. J., Lang, P. M., Masarie, K. A. and Steele, L. P.: 1994, ‘Global CH4 record from the NOAA/CMDL air sampling network’, in: Boden, T. A., Kaiser, D. P., Sepanski, R. J., and Stoss, F. S. (eds.), Trends ’93: A Compendium of Data on Global Change, ORNL/CDIAC-65, Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, Oak Ridge TN, pp. 262–266.
Ehhalt, D. and Prather, M.: 2001, ‘Atmospheric chemistry and greenhouse gases’, in: Houghton et al. (eds.), Climate Change 2001: The Scientific Basis. Cambridge University Press, New York.
Elkins, J. W., et al.: 1994, ‘Global and hemispheric means of CFC-11 and CFC-12 from the NOAA/CMDL flask sampling program’, in: Boden, T. A., Kaiser, D. P., Sepanski, R. J. and Stoss, F. S. (eds.), Trends ’93: A Compendium of Data on Global Change, ORNL/CDIAC-65, Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, Oak Ridge TN, pp. 501–504.
Engle, R. F. and Granger, C. W. J.: 1987, ‘Co-integration and error correction: Representation, estimation, and testing’, Econometrica 55, 251–276.
Etheridge D. M., Pearman, G. I., and Fraser, P. J.: 1994, ‘Historical CH4 record from the “DE08” ice core at Law Dome”, in: Boden, T. A., Kaiser, D. P., Sepanski, R. J., and Stoss, F. S. (eds.), Trends ’93: A Compendium of Data on Global Change, ORNL/CDIAC-65, Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, Oak Ridge TN, pp. 256–260.
Etheridge, D. M., Steele, L. P., Langenfelds, L. P., and Francey, R. J.: 1996, ‘Natural and anthropogenic changes in atmospheric CO2 over the last 1000 years from air in Antarctic ice and firn’, J. Geophys. Res. 101, 4115–4128.
Folland, C. K., et al.: 1992, ‘Observed climate variability and change’, in: Houghton, J. T., Callander, B. A. and Varney, S. K. (eds.), Climate Change 1992: The Supplementary Report to the IPCC Scientific Assessment, Cambridge University Press, Cambridge.
Francey, R. J., et al.: 1995, ‘Changes in oceanic and terrestrial carbon uptake since 1982’, Nature 373, 326–330.
Friedli, H., et al.: 1986, ‘Ice core record of the 13C/12C ratio of atmospheric CO2 in the past two centuries’, Nature 324, 237–238.
Goulden, et al.: 1998, ‘Sensitivity of boreal forest carbon balance to soil thaw’, Science 279, 214–217.
Graham, E. A., Mulkey, S. S., Kitajima, K., Phillips, N. G., and Wright, S. J.: 2003, ‘Cloud cover limits net CO2 uptake and growth of a rainforest tree during tropical rainy seasons’, PNAS 100, 572–576.
Granger, C. W. J. and Newbold, P.: 1974, ‘Spurious regressions in econometrics’, J. Econ. 2, 111–120.
Hamilton, J. D.: 1994, Time Series Analysis, Princeton University Press, Princeton NJ.
Hansen, J., Lacis, A., Ruedy, R., and Sato, M.: 1992, ‘Potential climate impact of Mount Pinatubo eruption’, Geophys. Res. Lett. 19, 215–218.
Houghton, R. A. and Hackler, J. L.: 1999, ‘Continental Scale Estimates of the Biotic Carbon Flux from Land Cover Change: 1850 to 1980’, CDIAC Data Set.
Houghton, R. A., Davidson, E. A. and Woodwell, G. M.: 1998, ‘Missing sinks, feedbacks, and understanding the role of terrestrial ecosystems in the global carbon balance’, Global Biogeochem. Cycles 12, 25–34.
Hurrell, J. W.: 1996, ‘Influence of variations in extratropical wintertime teleconnections on northern hemisphere temperature’, Geophys. Res. Lett. 23, 665–668.
Hurrell, J. W.: 1995, ‘Decadal trends in the North Atlantic oscillation: Regional temperature and precipitation’, Science 269, 676–679.
Jones, P. D.: 1994, ‘Estimating sampling error in large scale temperature averages’, J. Clim. 7, 1794–1802.
Jones, P. D.: 1989, ‘The influence of ENSO on global temperatures’, Clim. Monit. 17, 80–89.
Joos, F., et al.: 1999, ‘The variability in the carbon sinks as reconstructed for the last 1000 years’, Geophys. Res. Lett. 26, 1437–1440.
Hamilton, J. D.: 1994, Time Series Analysis. Princeton University Press, Princeton.
Kattenberg, A. F., et al.: 1996, ‘Climate models — projections of future climate’, in: Houghton, J. T., Meira Filho, L. G., Callander, B. A., Harris, N., Kattenberg, A. and Maskell, K. (eds.), Climate Change 1995: The Science of Climate Change. Cambridge University Press, Cambridge.
Kaufmann, R. K., Kauppi, H., and Stock, J. H.: in review, ‘The relation ebtween radiative forcing and temperature: What do statistical analyses of the observational record measure?’, Clim. Change.
Kaufmann, R. K. and Stern, D. I.: 1997, ‘Evidence for human influence on climate from hemispheric temperature relations’, Nature 388, 39–44.
Kaufmann, R. K. and Stern, D. I.: 2002, ‘Cointegration analysis of hemispheric temperature relations’, J. Geophys. Res. 107, D2 10.1029, 2000JD000174.
Kaufmann, R. K. and Stock, J. H.: 2003, ‘Testing hypotheses about the mechanisms for the unknown carbon sink: A time series analysis’, Global Biogeochem. Cycles 17(2), 1072 doi:10.1029/2002GB001962.
Kauppi, H.: 2004, ‘On the robustness of hypothesis testing based on fully modified vector autoregression when some roots are almost one’, Econ. Theor. 20, 341–359.
Keeling, C. D.: 1973, ‘Industrial production of carbon dioxide from fossil fuels and limestone’, Tellus 25, 174–198.
Keeling C. D. and Whorf, T. P.: 1994, ‘Atmospheric CO2 records from sites in the SIO air sampling network’, in: Boden, T. A., Kaiser, D. P., Sepanski, R. J. and Stoss, F. S. (eds.), Trends '93: A Compendium of Data on Global Change, ORNL/CDIAC-65, Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, Oak Ridge TN, pp. 16–26.
Keeling, C. D., Whorf, T. P., Whalen, M., van der Plicht, J.: 1995, ‘Interannual extremes in the rate of rise of atmospheric carbon dioxide since 1980’, Nature 375, 666–670.
Keeling, C. D., et al.: 1989, ‘A three-dimensional model of atmospheric CO2 transport based on observed winds 1, Analysis of observational data, in Aspects of Climate variability in the Pacific and Western Americas’, Geophys. Monogr. Ser. 55, 165–236.
Khalil, M. A. K. and Rasmussen, R. A.: 1994, ‘Global emissions of methane during the last several centuries’, Chemosphere 29, 833–842.
Krakauer, N. Y. and Randerson, J. T.: 2003, ‘Do volcanic eruptions enhance or diminish net primary production? Evidence from tree rings’, Global Biogeochem. Cycles 17(4), 10.1029/2003GB002076.
Lean, J., Beer, J. and Bradley, R.: 1995, ‘Reconstruction of solar irradiance since 1610: Implications for climate change’, Geophys. Res. Lett. 22, 3195–3198.
Lindzen, R. S. and Giannitsis, C.: 1998, ‘On the climatic implications of volcanic cooling’, J. Geophys. Res. 103, 5929–5941.
MacIntyre, F.: 1978, ‘On the temperature coefficient of PCO2 in seawater’, Clim. Change 1, 349–354.
MacKinnon, J. G.: 1994, ‘Approximate asymptotic distribution functions for unit-root and cointegration tests’, J. Bus. Econ. Stat. 12, 167–176.
Marland, G. and Rotty, R. M.: 1984, ‘Carbon dioxide emissions from fossil fuels: A procedure for estimation and results for 1950–1982’, Tellus 36B, 232–261.
Meehl, G. A., Boer, G. J., Covey, C., Latif, M., and Stouffer, R. J.: 2000, ‘The coupled model intercomparison project (CMIP)’, Bull. Am. Met. Soc. 81, 313–318.
Mitchell, J. F. B., Johns, T. C., Gregory, J. M., and Tett, S. F. B.: 1995, ‘Climate response to increasing levels of greenhouse gases and sulfate aerosols’, Nature 376, 501–504.
Mitchell, J. F. B. and Karoly, D. J.: 2001, ‘Detection of climate change and attribution of causes’, in: Houghton et al. (eds.), Climate Change 2001: The Scientific Basis. Cambridge University Press. New York.
Newey, W. K. and West, K. D.: 1987, ‘A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix’, Econometrica 55, 703–708.
Nicholls, N., et al.: 1996, ‘Observed climate variability and change’, in: Houghton, et al. (eds.), Climate Change 1995: The Science of Climate Change. Cambridge University Press, pp. 138–192.
Parker, D. E., Jones, P. D., Folland, C. K., and Bevan, A.: 1994, ‘Interdecadal changes of surface temperature since the late 19th century’, J. Geophys. Res. 99, 14373–14399.
Phillips, P. C. B. and Ouliaris, S.: 1990, ‘Asymptotic properties of residual based tests for cointegration’, Econometrica 58, 190.
Prather M., McElroy, M., Wofsy, S., Russel, G., and Rind, D.: 1987, ‘Chemistry of the global troposphere: fluorocarbons as tracers of air motion’, J. Geophys. Res. 92D, 6579–6613.
Prinn, R., et al.: 1990, ‘Atmospheric emissions and trends of nitrous oxide deduced from ten years of ALE/GAUGE data’, J. Geophys. Res. 95, 18369–18385.
Prinn, R., et al.: 1995, CDIAC world Data Center dataset no. DB-1001.
Rayner, P. J., Law, R. M., and Dargaville, R.: 1999, ‘The relationship between tropical CO2 fluxes and the El-Nino-Southern Oscillation’, Geophys. Res. Lett. 26, 493–496.
Santer, B. D., et al.: 1996, ‘A search for human influences on the thermal structure of the atmosphere’, Nature 382, 39–46.
Sato, M., Hansen, J. E., McCormick, M. P., and Pollack, J. B.: 1993, ‘Stratospheric aerosol optical depths, 1850–1990’, J. Geophys. Res. 98, 22987–22994.
Schimel, D. S., et al.: 2001, ‘Recent patterns and mechanisms of carbon exchange by terrestrial ecosystems’, Nature 414, 169–172.
Schwarz, G.: 1978, ‘Estimating the dimension of a model’, Annal. Stat. 6, 461–464.
Shine, K. P. R. G., Derwent, D. J., Wuebbles, D. J., and Mocrette, J. J.: 1991, ‘Radiative forcing of climate’, in: Houghton, J. T., Jenkins, G. J. and Ephramus, J. J. (eds.), Climate Change: The IPCC Scientific Assessment, Cambridge University Press, pp. 47–68.
Staiger, D. and Stock, J. H.: 1997, ‘Instrumental variables regression with weak instruments’, Econometrica 65, 557–586.
Stern D. I. and Kaufmann, R. K.: 2000, ‘Detecting a global warming signal in hemispheric temperature series: a structural time series analysis’, Climatic Change 47, 411–438.
Stern, D. I. and Kaufmann, R. K.: 1996, ‘Estimates of global anthropogenic methane emissions 1860–1993’, Chemosphere 33, 159–176.
Stock, J. H.: 1987, ‘Asymptotic properties of least squares estimators of co-integrating vectors’, Econometrica 55, 1035–1056.
Stock, J. H. and Watson, M. W.: 1993, ‘A simple estimator of cointegrating vectors in higher order integrated systems’, Econometrica 61, 783–820.
Tett, S. F. B., Stott, P. A., Allen, M. R., Ingram, W. J., and Mitchell, J. F. B.: 1999, ‘Causes of twentieth-century temperature change near the Earth's surface’, Nature 399, 569–572.
Tol, R. S. J. and De Vos, A. F.: 1998, ‘A Bayesian statistical analysis of the enhanced greenhouse effect’, Climatic Change 38, 87–112.
Vukicevic, T., Braswell, B. H., and Schimel, D.: 2001, ‘A diagnostic study of temperature controls on global terrestrial carbon exchange’, Tellus 53B, 150–170.
Wigley, T. M. L., Jones, P. D., and Raper, S. C. B.: 1997, ‘The observed global warming record: What does it tell us?’ Proc. Natl. Acad. Sci. 94, 8314–8320.
Wigley, T. M. L. and Raper, S. C. B.: 1992, ‘Implications for climate and sea level of revised IPCC emissions scenarios’, Nature 357, 293–300.
Wigley, T. M. L., Smith, R. L., and Santer, B. D.: 1998, ‘Anthropogenic influence on the autocorrelation structure of hemispheric mean temperatures’, Science 282, 1676–1679.
Wignuth, A. M., Heiman, E. H., Kurz, K. D., Maier-Riemer, E., Mikolajewicz, U., and Segschneider, J.: 1994, ‘E Nino-Southern Oscillation related fluctuations of the marine carbon cycle’, Global Biogeochem. Cycles 8, 39–63.
Wooldridge, J. M.: 2001, Econometric Analysis of Cross Section and Panel Data. Cambridge: MIT Press.
Yang, F. and Schlesinger, M. E.: 2001, ‘Identification and separation of Mount Pinatubo and El Nino-Southern Oscillation land surface temperature anomalies’, J. Geophy. Res. 106, 14757–14770.
Yang, X. and Wang, M.: 2000, ‘Monsoon ecosystems control on atmospheric CO2 interannual variability: Inferred from a significant positive correlation between year-to-year changes in land precipitation and atmospheric CO2 growth rate’, Geophys. Res. Lett. 27, 1671–1674.
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Kaufmann, R.K., Kauppi, H. & Stock, J.H. Emissions, Concentrations, & Temperature: A Time Series Analysis. Climatic Change 77, 249–278 (2006). https://doi.org/10.1007/s10584-006-9062-1
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DOI: https://doi.org/10.1007/s10584-006-9062-1