We apply dimensional analysis with Buckinghams "Pi" theorem to estimate the volume of wood in a tree stem, given the tree's height and diameter. We use Meyer's (1953) data on 31 cherry trees from the Allegheny National forest as the main example, and extend our model to look at other forest mensuration data sets.
@article{arxiv.2403.09660,
title = {Dimensional analysis in forest mensuration},
author = {Tim Davis and Huw Williams},
journal= {arXiv preprint arXiv:2403.09660},
year = {2024}
}