Analysis of Past Surface Temperature Reconstructions based on the Tree-ring Chronologies and Borehole Temperature Measurements

摘要

There have been done many past surface temperature reconstructions based on the temperature measurements in rock and glacier boreholes. However, the reliability of these reconstructions connected with the uniqueness and stability properties is not studied. We carried out the reconstruction by search of the past surface temperature in form of the finite set of the Fourier series that provides the unique and stable solution. The tree-ring chronologies are used as the high-resolution proxy climate indicator to find out the dominant periods of the Fourier series. The Tikhonov regularization method is applied to solve the inverse problem.