A tree was stolen or cut down by thieves. The lower portion of the trunk is taken and rest parts of the trunk has been left. This means lower thick trunk is lost. In this situation how can calculate the biomass empirically?
1. approx model of tree (must be known from type ..eg spreadout like mango
or straight up like coconut)
2. it is said rings reveal age of tree in which case .. we could have comparison from other historical data..and we could estimate ratio of upper/ trunk and apply to tree in
question..there are many other data like area beneath tree etc which might help..
3. Another method is to perhaps use Strength of Material from Engineering
Ratio of tree branch lengths: The equitable distribution of leaf
clusters on branches(Terminalia-branching/branch angle/effective leaf area/optimization/adaptive geometry)
HISAO HONDA* AND JACK B. FISHERt
cf above quote "Hypothetical Variation of the Ratios of Branch Lengths.
We assume that there is a constant ratio of branch lengths that
is based on the decrease of branch lengths in a geometrical ratio
from the proximal to the distal branch units in a tree. This
seemed reasonable according to the results of computer simulations
of tree-like bodies (1) and was confirmed by actual observations
of real trees [ref. 6; S. Oohata (personal communication)]." unquote
It seems then if the remaining branches geometrical ratios of branch lengths are measured and an average ratio r is found ,it may be possible to project backwards
to get the trunk length..
2. Another interesting observation although directly is not useful here is
Please see attached a simple (open source) Scilab 5.3.3 code I wrote for tree growth based on geometrical ratio. and possible estimate of stem volume . Hope it is useful.