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Regression tools for CO2 inversions: application of a shrinkage estimator to process attribution Cover

Regression tools for CO2 inversions: application of a shrinkage estimator to process attribution

Open Access
|Jan 2006

References

  1. Andres , R. J. , Marland , G. , Fung , I. Y. and Matthews , E . 1996 . A 1 degrees x 1 degrees distribution of carbon dioxide emissions from fossil fuel consumption and cement manufacture, 1950-1990 . Global Biogeochemical Cycles 10 , 419 429 .
  2. Björkstrom , A . 2001. Ridge regression and inverse problems. Techni-cal Report in Mathematical Statistics 2000:5. Stockholm University, Sweden.
  3. Cooley , W. and Lohnes , P . 1971 . Multivariate Data Analysis . Wiley , New York , 364 .
  4. DeFries , R. , Houghton , R. A. , Hansen , M. , Field , C. B. , Skole , D. and Townshend , J . 2002. Carbon emissions from tropical deforestation and regrowth based on satellite observations for the 1980s and 1990s. Proceedings of the National Academy of Sciences of the United States of America 99 , 14256 14261.
  5. Efron , B. and Tibshirani , R . 1994 . An Introduction to the Bootstrap . Chapman and Hall , London , 436 .
  6. Enting , I. G . 2002 . Inverse Problems in Atmospheric Constituent Trnas-port . Cambridge University Press , London , 394 .
  7. Enting , I. G. , Trudinger , C. M. and Francey , R. J . 1995 . A synthesis inversion of the concentration of 31-3C of atmospheric CO2 . Tellus 47B , 35 52 .
  8. Fan , S. , Sarmiento , J. L. , Gloor , M. and Pacala , S. W . 1999. On the use of regularization techniques in the inverse modeling of atmospheric carbon dioxide. Journal of Geophysical Research 104(D17), 21 503-21 512.
  9. Frank , I. and Friedman , J. 1993. A statistical view of some chemometrics regression tools (with discussion). Technometrics 35(2), 109 148.
  10. Friedman , J. , Hastie , T. and Tibshirani , R. 2001. The Elements of Statis-tical Learning. Springer-Verlag, New York, 533.
  11. Fung , I. Y. , Prentice , K. , Matthews , E. , L,emer, J. and Russell, G. 1983. Three-dimensional tracer model study of atmospheric CO2: response to seasonal exchanges with the terrestrial biosphere. Journal of Geo-physical Research 88, 1281 1294.
  12. Gelman , A. , Carlin , J. B. , Stem, H. S. and Rubin, D. B. 2004. Bayesian Data Analysis. Chapman and Hall, London, 668.
  13. Gibbons , D . 1981 . A simulation study of some ridge estimators . Journal of the American Statistical Association 76 , 131 139 .
  14. GLOBALVIEW-CO 2: Cooperative Atmospheric Data Integration Project-Carbon Dioxide. 2004. CD-ROM, NOAA CMDL, Boul-der, Colorado [Also available on Internet via anonymous HP to ftp.cmdl.noaa.gov, Path: ccg/co2/GLOBALVIEW].
  15. Golub , G. H. and Van Loan , C. E 1996 . Matrix Computations . The Johns Hopkins University Press , Baltimore , 694 .
  16. Golub , G. H. , Heath , M. and Wahba , G. 1979. Generalized cross valida-tion as a method for choosing a good ridge parameter. Technometrics 21, 215 224.
  17. Goodale , C. , Apps , M. , Birdsey , R. , Field , C. B. , Heath , L. and co-authors. 2002. Forest carbon sinks in the Northern Hemisphere. Ecological Ap-plications 12, 891 899.
  18. Gurney , K. R. , Law , R. M. , Denning , A. S. , Rayner , P. J. , Baker, D. and co-authors. 2002. Towards robust regional estimates of CO2 sources and sinks using atmospheric transport models. Nature 415, 626 630.
  19. Gurney , K. R. , Law , R. M. , Denning , A. S. , Rayner , P. J. , Baker, D. and co-authors. 2003. TransCom 3 CO2 inversion intercomparison: 1. Annual mean control results and sensitivity to transport and prior flux information. Tellus 55B, 555 579.
  20. Hansen , J. , Russel , G. , Rind , D. , Stone , P. , Lacis and co-authors. 1983. Efficient three-dimensional global models for climate studies: Models I and II. M. Weather Review 111, 609 662.
  21. Harman , H . 1976 . Modern Factor Analysis . University of Chicago Press , Chicago , 487 .
  22. Hoerl , A. E. and Kennard , R. W . 1970 . Ridge regression: biased estima-tion for nonorthogonal problems . Technometrics 12 , 55 67 .
  23. Kaminski , T. , Heimann , M. and Giering , R . 1999. A coarse grid three-dimensional global inverse model of the atmospheric transport-2. Inversion of the transport of CO2 in the 1980s. Journal of Geophysical Research-Atmospheres 104 , 18555 19581.
  24. Kaminski , T. , Knorr , W. , Rayner , P. J. and Heimann , M. 2002. Assim-ilating atmospheric data into a terrestrial biosphere model: a case study of the seasonal cycle. Global Biogeochemical Cycles 16, 1066 1083.
  25. Knorr , W. and Heimann , M . 1995 . Impact of drought stress and other factors on seasonal land biosphere CO2 exchange studied through an atmospheric tracer transport model . Tellus 47B , 461 489 .
  26. Krakauer , N. Y. , Schneider , T. , Randerson , J. T. and Olsen, S. C. 2004. Using generalized cross-validation to select parameters in inversions for regional carbon fluxes. Geophysical Research Letters 31, L19 108-L19 111.
  27. Law , R. M. , Rayner , P. J. , Steele, L. and Enting, I. G. 2002. Using high temporal frequency data for CO2 inversions. Global Biogeochemical Cycles 16, 1053 1070.
  28. Lee , T . 1987 . Optimum ridge parameter selection . Applied Statistics Series C 36 , 112 117 .
  29. Lindley , D. and Smith , A. E 1972 . Bayes estimates for the linear model . Journal of the Royal Statistical Society B 34 , 1 41 .
  30. Mansbridge , J. and Enting , I. G. 1986. A study of linear inversion schemes for an ocean tracer model. Tellus 38B, 11 26.
  31. Masarie , K. and Tans , P. P . 1995. Extension and integration of atmo-spheric carbon dioxide data into a globally consistent measurement record. Journal of Geophysical Research 100, 11,593 11,610.
  32. Mouillot, E and Field, C. B . 2005 . Fire history and the global carbon budget: A lx1 degree fire history reconstruction for the 20th century . Global Change Biology 11 , 398 420 .
  33. Nordberg , L . 1982 . A procedure for determination of a good ridge pa-rameter in linear regression . Communication in Statistics Simulation and Computation B 11 , 285 309 .
  34. Pacala , S. , Hum , G. , Baker , D. , Peylin , P. , Houghton , R. A. and co-authors. 2001. Consistent land- and atmosphere-based US carbon sink estimates. Science 292, 2316 2320.
  35. Potter , S. C. , Randerson , J. T. , Field , C. B. , Matson , P. A. , Vitousek , P. M. and co-authors. 1993. Terrestrial ecosystem production—a process model—based on global satellite and surface data. Global Biogeochemical Cycles 7, 811 841.
  36. Prentice , I. C. , Heimann , M. and Stich , S . 2000 . The carbon balance of the terrestrial biosphere: Ecosystem models and atmospheric obser-vations . Ecological Applications 10 , 1553 1573 .
  37. Ramankutty , N. and Foley , J . 1999 . Estimating historical changes in global land cover: Croplands from 1700-1992 . Global Biogeochemi-cal Cycles 13 , 997 1027 .
  38. Randerson , J. T. , Still , C. J. , Balle , J. J. , Fung , I. Y. , Doney , S. C. and co-authors. 2002. Carbon isotope discrimination of arctic and boreal biomes inferred from remote atmospheric measurements and a biosphere-atmosphere model. Global Biogeochemical Cycles 16, 1028 1028.
  39. Rayner , P. J. , Enting , I. G. , Francey , R. J. and Lagenfelds , R . 1999 . Reconstructing the recent carbon cycle from atmospheric CO2, '3C and 02/N2 observations . Tellus 51B ( 2 ), 213 232 .
  40. Rudy , Y. and Messinger-Rapport , B . 1988 . The inverse problem in electrocardiography—solutions in terms of epicardial poten-tials . CRC Critical Reviews in Biomedical Engineering 16 , 215 268 .
  41. Schimel , D. , House , J. , Hibbard , K. , Bousquet , P. , Ciais , P. and co-authors. 2001. Recent patterns and mechanisms of carbon exchange by terrestrial ecosystems. Nature 414, 169 172.
  42. Takahashi , T. , Sutherland , S. , Sweeney , C. , Poisson , A. , Metzl , N. and co-authors . 2002. Global sea-air CO2 flux based on climatological surface ocean pCO2, and seasonal biological and temperature effects . Deep-sea Research Part II—Topical Studies in Oceanography 49 , 1601– 1622 .
  43. Tans , P. P. , Fung , I. Y. and Takahashi , T . 1990 . Observational constraints on the global atmospheric CO2 budget . Science 247 , 1431 1438 .
  44. Tarantola , A . 1987 . Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation . Elsevier , New York , 613 .
  45. Tibshirani , R . 1996 . Regression shrinkage and selection via the lasso . Journal of the Royal Statistical Society B 58 , 267 288 .
  46. UNFCCC . 1992 . Kyoto Protocol . http : //unfccc.int/resource/docs/ convkp/kpeng.html
  47. Wold , H . 1975 . Soft modeling by latent variables: the nonlinear iterative partial least squares (NIPALS) approach . Perspectives in Probability and Statistics, In Honor of M. S. Bartlett , 117 144 .
  48. Yan , G. , Graham , E. and Furlong , K . 1989 . Lateral variations inferred from 3-dimensional seismic inversion models . Geophysical Research Letters 16 , 449 452 .
Language: English
Page range: 279 - 292
Submitted on: Jan 26, 2005
Accepted on: Mar 10, 2006
Published on: Jan 1, 2006
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2006 Benjamin A. Shaby, Christopher B. Field, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.