Comment on “the statistical analysis and interpretation of imperfectly-fitted Rb-Sr isochrons from polymetamorphic terrains” by M. Cameron et al.

Cameronet al. (1981) proposed a “Free Line Model” for calculating formation ages for rock systems that have undergone local scale homogenization by ⁸⁷Sr migration. This model is valid only if the variation in the ${}^{87}\text{Rb}{}^{86}\text{Sr}$ ratio is independent of the variation in Sr-content within the rock system. If Sr increases linearly with increasing ${}^{87}\text{Rb}{}^{86}\text{Sr}$ the calculated age will be too high. If Sr decreases linearly with increasing ${}^{87}\text{Rb}{}^{86}\text{Sr}$, the calculated age will be systematically too low. If the rate of change in Sr with increasing ${}^{87}\text{Rb}{}^{86}\text{Sr}$ varies systematically through a rock system the “isochron” will be curved and the calculated ages will be younger or older than the real age, depending on the position of samples in relation to the curvature of the “isochron.” This problem with the “Free Line Model” is inherited in both the “Bulk Earth Model 1” and the “Bulk Earth Model 2.”