Extended Data Fig. 3: Summary of the Transdimensional Markov Chain Monte Carlo ensemble. | Nature Geoscience

Extended Data Fig. 3: Summary of the Transdimensional Markov Chain Monte Carlo ensemble.

From: Tilted transverse isotropy in Earth’s inner core

Extended Data Fig. 3: Summary of the Transdimensional Markov Chain Monte Carlo ensemble.The alternative text for this image may have been generated using AI.

Summary of the Transdimensional Markov Chain Monte Carlo ensemble chains; we ran 20 chains for 4,000,000 iterations with an acceptance rate (the percentage of accepted perturbations) of 30.5%. The misfit drops rapidly in the first 200,000 iterations before reaching a misfit minimum; the transdimensional algorithm then samples models around this minimum value. Misfit is calculated using an L2 norm and then shown relative to the misfit of PREM (where misfit = 1.0 means the misfit of a chain is the same as PREM, misfit > 1.0 means the misfit of a chain is greater than PREM and misfit < 1.0 means the misfit of a chain is the lower than the prediction of PREM) (a) Variation of misfit with iteration in all 20 chains for our transdimensional model. (b) Variation of the number of volumes with iteration in all 20 chains for our transdimensional model. (c) Distribution of models as a function of the number of volumes.

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