A new algorithm for reconstructing tree height growth with stem analysis data (Q12435)

I offer here both dataset and computing code related to a stem analysis algorithm to reconstruct height growth of trees. First, the dataset has time series records of tree height for Nothofagus alpina ("rauli"), N. dombeyi ("coigue"), N. obliqua ("roble"), and Pseudotsuga menziesii ("Douglas-fir"). The data come from stem analysis sample trees in both southern Chile and the Inland Northwest, USA.  These trees are part of the ones used in an article about a new algorithm for reconstructing tree height growth. The article is published in Methods in Ecology and Evolution (https://doi.org/10.1111/2041-210x.13616). Second, I provide an R code implementing the proposed algorithm for a given dataset as example.