5.3 Markov chain Monte Carlo inversions – median fits and convergence diagnostics
The model simulations used for illustration in section 5.2 were conducted with unconstrained values of \(\xi\). To obtain constraints on\(\xi\) and, importantly, how it varies as a function of \(\phi\), MCMC inversions were performed on the experiments of Hoyos et al.(2022) and the olivine centrifuge experiments using eq. (16). For each inversion, three MCMC realizations (chains) were performed. Each of the three realizations per group were initiated with different random values of \(m^{\text{ini}}\). Examples of the fits calculated using the most likely combination of parameters (the vector \(m^{\text{med}}\) of median values for each parameter) obtained by the inversions are shown in Fig. 5 and 6 for the low T + P experiments of Hoyoset al. (2022).