Principles of constrained inversion in the calibration of carbon cycle models

I. G. Enting

doi:10.3402/tellusb.v37i1.14987

Principles of constrained inversion in the calibration of carbon cycle models

Tellus B: Chemical and Physical Meteorology

Volume 37 (1985): Issue 1

By: I. G. Enting

Open Access

|Jan 1985

Allison , H. 1979 . Inverse unstable problems and some of their applications . Math. Sci 4 , 9 – 30 .
Search in Google Scholar Back to article
Anderssen , R. S. 1977 . Some numerical aspects of improperly posed problems: why regularisation works and when not to use it. ANU Computer Centre Technical Report No. 52. Aust. National University (Canberra) 52 pp.
Search in Google Scholar Back to article
Bard , Y. 1974 . Non-linear parameter estimation , Academic Press (New York) , 341 pp .
Search in Google Scholar Back to article
Bolin , B. , Degens , E. T. , Duvigneaud , P. and Kempe , S. 1979 . The global biogeochemical carbon cycle. Chapter 1 (pp. 1-56) of The global carbon cycle , (eds. B. Bolin , E. T. Degenes , S. Kempe , and P. Ketner ), Scope 13 . John Wiley amd Sons (Chichester) , 525 pp .
Search in Google Scholar Back to article
Bolin , B. , Björkstrom , A. , Keeling , C. D. , Bacastow , R. and Siegenthaler , U. 1981 . Carbon cycle modelling . Chapter 1 , (pp. 1 – 28 ) of Carbon cycle modelling (ed. B. Bolin ). Scope 16 . John Wiley and Sons (Chichester) , 390 pp .
Search in Google Scholar Back to article
Bolin , B. , Björkström , A. , Holmén , K. and Moore , B. , 1983 . The simultaneous use of tracers for ocean circulation studies . Tellus 35B , 206 – 236 .
Search in Google Scholar Back to article
Box , G. E. P. and Tiao , G. C. 1973 . Bayesian inference in statistical analysis . Addison-Wesley (Reading , Mass .), 588 pp .
Search in Google Scholar Back to article
Broecker , W. S. 1974 . Chemical oceanography . Harcourt Brace Jovanovich Inc. (New York) 214 pp.
Search in Google Scholar Back to article
Broecker , W. S. Peng , T.-H. and Engh , R. 1980 . Modelling the carbon system . Radiocarbon 22 , 565 – 598 .
Search in Google Scholar Back to article
Deutsch , 1965 . Estimation theory , Prentice Hall (Englewood Cliffs , N.J .), 269 pp .
Search in Google Scholar Back to article
Enting , I. G. 1983 . Error analysis for parameter estimates from constrained inversion . CSIRO Division of Atmospheric Research Tech. Paper No . 2 , 18 pp .
Search in Google Scholar Back to article
Enting , I. G. and Pearman , G. I. 1982 . Description of a one-dimensional global carbon cycle model . CSIRO Division of Atmospheric Physics Tech. Paper No . 42 , 96 pp .
Search in Google Scholar Back to article
Enting , I. G. and Pearman , G. I. 1983 . Refinements to a one-dimensional carbon cycle model . CSIRO Division of Atmospheric Research Tech. Paper No . 2 , 18 pp .
Search in Google Scholar Back to article
Frenkiel , F. N. and Goodall , D. W. (eds.) 1978 . Simulation modelling of environmental problems. Scope 9. John Wiley and Sons (Chichester), 112 pp.
Search in Google Scholar Back to article
Jackson , D. D. 1972 . Interpretation of inaccurate, insufficient and inconsistent data . Geophys. J. R. Astr. Soc . 28 , 97 – 109 .
Search in Google Scholar Back to article
Keeling , C. D. 1978 . Atmospheric carbon dioxide in the 19th century . Science 202 , 1109 .
Search in Google Scholar Back to article
Kowalik , J. and Osborne , M. R. 1968 . Methods for unconstrained optimization problems . American Elsevier Publishing co. (New York), 148 pp.
Search in Google Scholar Back to article
Lawson , C. L. and Hanson , R. J. 1974 . Solving least-squares problems . Prentice Hall (Englewood Cliffs , N.J .), 340 pp .
Search in Google Scholar Back to article
Li , Y. H. , Takahashi , T. and Broecker , W. S. 1969 . Degreee of saturation of CaCO3 in the oceans . J. Geophys. Res . 74 , 5507 – 5525 .
Search in Google Scholar Back to article
Machta , L. , List , R. J. and Telegardas , K. 1963 . Meteorology of fallout from 1961-1962 nuclear tests. Congress of the United States, Hearing before subcommittee in Research, Development and Radiation of the Joint Committee of Atomic Energy. 88th Congress, 46-61, June 1963.
Search in Google Scholar Back to article
Moore , B. , Boone , R. D. , Hobble , J. E. , Houghton , R. A. , Melillo , J. M. , Peterson , B. J. , Shaver , G. R. , Vörösmarty , C. J. and Woodwell , G. M. 1981 . A simple model for analysis of the role of terrestrial ecosystems in the global carbon budget. In Carbon cycle modelling (ed. B. Bolin ) Scope 16. John Wiley and Sons (Chichester), 390 pp.
Search in Google Scholar Back to article
O’Brien , K. 1979 . Secular variations in the production of cosmogenic isotopes in the earth’s atmosphere . J. Geophys. Res . 84 , 423 – 431 .
Search in Google Scholar Back to article
Oeschger , H. , Siegenthaler , U. , Schotterer , U. and Gugelmann , A. 1975 . A box diffusion model to study the carbon dioxide exchange in nature . Tellus 27 , 168 – 192 .
Search in Google Scholar Back to article
Oeschger , H. and Heimann , M. 1983 . Uncertainties in predictions of future atmospheric CO, concentrations . J. Geophys. Res . 88C , 1258 – 1262 .
Search in Google Scholar Back to article
Rodgers , C. D. 1977 . Statistical principles in inversion theory. pp. 117-134 of Inversion methods in atmospheric remote sensing . (ed. A. Deepak ). Academic (New York), 379 pp.
Search in Google Scholar Back to article
Takahashi , T. , Broecker , W. S. and Bainbridge , A. 1981 . Supplement to the alkalinity and total carbon dioxide concentration of the world oceans. pp. 159-199 of Carbon cycle modelling (ed. B. Bolin ). Scope 16. John Wiley and Sons (Chichester), 390 pp.
Search in Google Scholar Back to article
Twomey , S. 1977 . Introduction to the mathematics of inversion in remote sensing and indirect measurements. Elsevier Scientific Publishing Co. ( Amsterdam ), 243 pp.
Search in Google Scholar Back to article
Whitney , C. 1977 . Extending radiative transfer models by use of Bayes’ rule . J. Atmos. Scl . 34 , 766 – 772 .
Search in Google Scholar Back to article
Wiggins , R. 1972 . The general linear inverse problem : implications of surface waves and free oscillations on earth structure. Rev. Geophys. Space Phys . 10 , 251 – 285 .
Search in Google Scholar Back to article
Wunsch , C. 1978 . The North Atlantic general circulation west of 50W determined by inverse methods . Rev. Geophys. and Space Phys . 16 , 583 – 620 .
Search in Google Scholar Back to article
Wunsch , C. and Minster , J.-F. 1982 . Methods for box models and ocean circulation tracers: Mathematical programming and non-linear inverse theory . J. Geophys. Res . 87C , 5647 – 5662 .
Search in Google Scholar Back to article