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Volumn 282, Issue 5387, 1998, Pages 268-271

Past temperatures directly from the Greenland Ice Sheet

Author keywords

[No Author keywords available]

Indexed keywords

GRIP; PALEOCLIMATE; PALEOTEMPERATURE; QUATERNARY; TEMPERATURE PROFILE;

EID: 0032500873     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.282.5387.268     Document Type: Article
Times cited : (804)

References (45)
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    • o is the present surface temperatures at the sites: -31.7°C at GRIP and -20.1°C at Dye 3, respectively (9).
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    • i}, evaluated in a near-optimal model, yields a set of eigenvectors in the model space whose orientations reveal efficient directions of perturbation for the random walk. The SVD method is included as a possible method of perturbing models especially in the start of the process as it speeds the Monte Carlo scheme significantly.
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    • 6 models tested during the random walk 30% have been accepted by the Monte Carlo scheme (16). Every 500 is chosen of those where the misfit function S (16) is less than the variance of the observations. The waiting time of 500 has been chosen to exceed the maximum correlation length of the output model parameters. This is a necessary condition for the 2000 models to be uncorrelated. To further ensure that the output models were uncorrelated, the random walk was frequently restarted at several random selected points in the model space.
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    • The probabilistic formulation of the inverse problem leads to definition of a probability distribution in the model space, describing the likelihood of possible temperature histories and geothermal heat flow densities. The Monte Carlo scheme is constructed to sample according to this probability distribution. The histograms in Fig. 2 describe the probability distribution of the geothermal heat flow density and temperatures at times before present. The maxima in the histograms thus describe the most likely values. The method does not constrain the distributions to have a single maximum, indeed there could be histograms with several maxima, reflecting that more than one value of the temperature at this time would give a good fit to the observed temperature in the borehole. The histograms however, are all seen to have a well-defined zone with most likely past temperatures. A soft curve is fitted to the histograms and the maximum value is taken as the most likely value. The standard deviations shown in Fig. 3 are derived as deviations from the maximum value.
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    • This is a contribution to the Greenland Ice Core Project (GRIP), a European Science Foundation program with eight nations and the European Economic Commission collaborating to drill through the central part of the Greenland Ice Sheet. G.D.C. thanks the USGS Climate History Program and NSF for support.


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