Geoinformatics
Online ISSN : 1347-541X
Print ISSN : 0388-502X
ISSN-L : 0388-502X
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Volume 22, Issue 2
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  • Speed of Convergence and Permissible Range of Initial Slope Value of York's Linear Fitting Iteration Formulae
    Kazuo SAITO
    2011 Volume 22 Issue 2 Pages 45-53
    Published: 2011
    Released on J-STAGE: July 22, 2011
    DOIhttps://doi.org/10.6010/geoinformatics.22.45
    JOURNAL FREE ACCESS
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    In studies of radiometric dating such as Rb-Sr, Pb-Pb, Ar-Ar dating, drawing isochrones is an essential technique. In determining the best straight line fitting to n data points [(x1, y1) - (xn, yn) ] with errors [(σx1, σy1) - (σxn, σyn)], an iteration introduced by York (1969) has been widely used. In most cases, the iteration accepts a wide range of initial values of slope and shows remarkably fast convergence. York (1969) showed two iteration formulae. In the present study I first demonstrate that the problem can be solved graphically by using a spreadsheet software. Then I try to evaluate the speed and range of these iteration formulae in comparison with the other possible iteration formulae, including Newton-Raphson formula.
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