Modeling done with a Bayesian Rauch-Tung-Striebel algorithm, estimating priors of variance for observations and state by using a stationary bootstrap for the series using Politis and Romano algorithm.
Updated, 30th September 2021
Zhu, Yingli, Gary T. Mitchum, Kara S. Doran, Don P. Chambers, and Xinfeng Liang. “Distinguishing between Regression Model Fits to Global Mean Sea Level Reconstructions.” Journal of Geophysical Research: Oceans: e2021JC017347.
The paper is behind a paywall. The link is to the corresponding preprint.