Skip to main content
Have a personal or library account? Click to login
A classification of some inverse problems in geochemical modelling Cover

A classification of some inverse problems in geochemical modelling

Tellus B: Chemical and Physical Meteorology
Volume 37 (1985): Issue 4-5
By:   
Open Access
|Jan 1985
References

References

  1. Allison , H . 1979 . Inverse unstable problems and some of their applications . Math. Sci . 4 , 9 – 30 .
    Search in Google ScholarBack to article
  2. Anderssen , R. S. and Bloomfield , P . 1974a . A time series approach to numerical differentiation . Technometrics 16 , 69 – 75 .
    Search in Google ScholarBack to article
  3. Anderssen , R. S. and Bloomfield , P . 1974b . Numerical differentiation procedures for non-exact data . Numer. Math . 22 , 157 – 182 .
    Search in Google ScholarBack to article
  4. Anderssen , R. S. and de Hoog , F. R . 1983 . The nature of numerical processes . Math. Sci . 8 , 115 – 141 .
    Search in Google ScholarBack to article
  5. Bacastow , R. B. and Bjärkström , A . 1981 . Comparison of ocean models for the carbon cycle. pp. 29-79 (Chapter 2) of Carbon Cycle Modelling , SCOPE, 16th edition . B. Bolin . John Wiley and Sons (Chichester) .
    Search in Google ScholarBack to article
  6. Bolin , B. and Keeling , C. D . 1963 . Large-scale atmospheric mixing as deduced from seasonal and meridional variations of carbon dioxide . J. Geophys. Res . 68 , 3899 – 3920 .
    Search in Google ScholarBack to article
  7. Broecker , W. S. , Peng , T.-H. and Engh , R . 1980 . Modelling the carbon system . Radiocarbon 22 , 565 – 598 .
    Search in Google ScholarBack to article
  8. CMA 1982 . World production and release of chloro-fluorocarbons 11 and 12 through 1980, Revision 1. Chemical Manufacturers Association Fluorocarbon Program Panel.
    Search in Google ScholarBack to article
  9. Enting , I. G . 1984 . Techniques for determining surface source from surface observations of atmospheric constituents . Division of Atmospheric Research, Technical Paper #5 , CSIRO , Australia .
    Search in Google ScholarBack to article
  10. Enting , I. G . 1985a . Principles of constrained inversion in the calibration of carbon cycle models. Tellus37B, 7 - 27 .
    Search in Google ScholarBack to article
  11. Enting , I. G . 19856. A lattice statistics model for the age distribution of air bubbles in polar ice. Nature 315 , 654 - 655 .
    Search in Google ScholarBack to article
  12. Enting , I. G. and Pearman , G. I . 1983 . Refinements to a one-dimensional carbon cycle model. Division of Atmospheric Research. Technical Paper #3. CSIRO, Australia.
    Search in Google ScholarBack to article
  13. Enting , I. G. and Pearman , G. I . 1986 . The use of observations in calibrating and validating carbon cycle models. In The global carbon cycle: analysis of the natural cycle and implications of anthropogenic alterations for the next century , eds. J. R. Trabalka and D. E. Reichle . Springer Verlag , New York , in press .
    Search in Google ScholarBack to article
  14. Essam , J. W. 1972 . pp. 197 - 220 of Phase transitions and critical phenomena , eds. C. Domb and M. S. Green . Academic , New York .
    Search in Google ScholarBack to article
  15. Fraser , P. J. , Hyson , P. , Enting , I. G. and Pearman , G. I . 1983 . Global distribution and southern hemisphere trends of atmospheric CCI,F . Nature 302 , 692 – 695 .
    Search in Google ScholarBack to article
  16. Fraser , P. J. , Derek, N. O'Brien, R. , Shepherd, R. , Rasmussen, R. A. Crawford, A. J. and Steele, L. P. 1985 . Intercomparison of halocarbon and nitrous oxide measurements at Cape Grim, 1976-1984. In Baseline 1983-1984 , eds R. J. Francey and B. Forgan . Dept of Science and Technology/CSIRO, Canberra, in press .
    Search in Google ScholarBack to article
  17. Gaunt , D. S. and Sykes. M. F . 1983 . Series study of random percolation in three dimensions . J. Phys. A 16 , 783 – 800 .
    Search in Google ScholarBack to article
  18. Golub , G. H. , Heath. M. and Wahba , G . 1979 . Generalised cross-validation as a method for choosing a good ridge parameter . Technometrics 21 , 215 – 223 .
    Search in Google ScholarBack to article
  19. Goldstein , M. and Smith. A. F. M . 1974 . Ridge-type estimators for regression analysis. J. R. Stat. Soc. B 36 , 284-29 1 .
    Search in Google ScholarBack to article
  20. Hoerl , A. E and Kennard . R. W. 1970 . Ridge regression: biased estimation for non-orthogonal problems. Technometrics 12 , 55 - 67 .
    Search in Google ScholarBack to article
  21. Houghton , R. A. , Hobble , J. E. , Melillo , J. M. , Moore , B. , Peterson , B. J. , Shaver , G. R. and Woodwell , G. M . 1983 . Changes in the carbon content of terrestrial biota and soils between 1860 and 1980: a net release of CO, to the atmosphere . Ecol. Monogr ., 53 , 235 – 262 .
    Search in Google ScholarBack to article
  22. Hyson , P. , Fraser , P. J. and Pearman , G. I . 1980 . A two-dimensional transport simulation model for trace atmospheric constituents . J. Geophys. Res . 85C , 4443 – 4455 .
    Search in Google ScholarBack to article
  23. Jackson , D. D . 1972 . Interpretation of inaccurate insufficient and inconsistent data . Geophys. J. R. Astr. Soc . 28 , 97 – 109 .
    Search in Google ScholarBack to article
  24. Keller , J. B . 1976 . Inverse problems . Amer. Math. Mon . 83 , 107 – 118 .
    Search in Google ScholarBack to article
  25. Killough , G. G. and Emanuel , W. R . 1981 . A comparison of several models of carbon turnover in the ocean with respect to their distributions of transit time and age, and responses to atmospheric CO, and '4C . Tellus 33 , 274 – 290 .
    Search in Google ScholarBack to article
  26. Moore , B. , Boone , R. D. , Hobbie , J. E. , Houghton , R. A. , Melillo , J. M. , Peterson , B. J. , Shaver , G. R. , Vorosmarty , C. J. and Woodwell , G. M . 1981 . A simple model for analysis of the role of terrestrial ecosystems in the global carbon budget , pp. 365-385 of Carbon cycle modelling. SCOPE 16 , ed. B. Bolin . John Wiley and Sons , Chichester .
    Search in Google ScholarBack to article
  27. Neftel , A. , Moor , E. , Oeschger , H. , and Stauffer , B . 1985 . Evidence from polar ice cores for the increase in atmospheric CO, in the past two centuries . Nature 3/5 , 45 – 47 .
    Search in Google ScholarBack to article
  28. Oeschger , H. and Heimann , M . 1983 . Uncertainties of predictions of future atmospheric CO, concentrations . J. Geophys. Res . 88C , 1258 – 1262 .
    Search in Google ScholarBack to article
  29. Parker , R. L . 1970 . The inverse problem of electrical conductivity in the mantle . Geophys. J. R. Astr. Soc . 22 , 121 – 138 .
    Search in Google ScholarBack to article
  30. Pearman , G. I. and Hyson , P . 1980 . Activities of the global biosphere as reflected in atmospheric CO, records . J. Geophys. Res . 85C , 4468 – 4474 .
    Search in Google ScholarBack to article
  31. Peng , T.-H. , Broecker , W. S. , Freyer , H. D. and Trumbore , S . 1983 . A deconvolution of the treering based 613C record . J. Geophys. Res . 88C , 3609 – 3620 .
    Search in Google ScholarBack to article
  32. Rodgers , C. D . 1977 . Statistical principles in inversion theory, pp 117-134 of Inversion methods in atmospheric remote sounding , ed. A. Deepak , Academic, New York , 622 pp .
    Search in Google ScholarBack to article
  33. Ross , B . 1974 . A brief history and exposition of the fundamental theory of fractional calculus, pp. 1-36 of Fractional calculus and its applications , ed. B. Ross . Lecture Notes in Mathematics 44457 .
    Search in Google ScholarBack to article
  34. Rotty , R. M . 1979 . Energy demand and global climate change. pp. 269 if. of Man's impact on climate , ed. W. Bach , J. Pankrath and W. Kellogg. Elsevier , Amsterdam .
    Search in Google ScholarBack to article
  35. Shante , V. K. S. and Kirkpatrick , S . 1971 . An introduction to percolation theory . Adv. Phys . 70 , 325 – 357 .
    Search in Google ScholarBack to article
  36. Stanley , H. E . 1974 . Chapter 7 of Phase transitions and critical phenomena , vol. 3 , ed. C. Domb and M. S. Green . Academic , New York .
    Search in Google ScholarBack to article
  37. Sundquist , E. T. and Plummer , L. N . 1981 . Carbon dioxide in the ocean surface layer: Some modelling considerations , pp. 259-269 of Carbon cycle modelling. SCOPE 16 , ed. B. Bolin . John Wiley and Sons , Chichester .
    Search in Google ScholarBack to article
  38. Tans , P. P . 1980 . On calculating the transfer of carbon- 13 in reservoir models of the carbon cycle . Tellus 32 , 464 – 469 .
    Search in Google ScholarBack to article
  39. Twomey , S . 1977 . Introduction to the mathematics of inversion in remote sensing and indirect measure-ments . Elsevier , Amsterdam , 243 pp .
    Search in Google ScholarBack to article
  40. Ursell , F . 1974 . Introduction to the theory of linear integral equations, pp. 2-11 of Numerical solution of integral equations , eds. L. M. Delves and J. Walsh , Clarendon , Oxford
    Search in Google ScholarBack to article
  41. Wunsch , C . 1978 . The north atlantic general circulation west of 50W determined by inverse methods . Rev. Geophys. Space Phys . 16 , 583 – 620 .
    Search in Google ScholarBack to article
DOI: https://doi.org/10.3402/tellusb.v37i4-5.15026 | Journal eISSN: 1600-0889
Journal RSS Feed
Language: English
Page range: 216 - 229
Submitted on: Apr 11, 1985
Accepted on: Oct 8, 1985
Published on: Jan 1, 1985
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1985 I. G. Enting, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 37 (1985): Issue 4-5
Previous article
Next article