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

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.