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A universal biometric system for assessing the dimensions of trees and forests
Current biometric systems for the evaluation of tree dimensions are empirical in nature with limited applications for the assessments of regional, national or world forests for multiple applications. For example, new modern mathematical technologies are required for the universal evaluation of goods and services provided by forests at the national and world spatial scales. Mathematical descriptions of the tree dimensions, diameter, height, basal area, volume and biomass provide acceptable evaluations for individual tree species or local forests for single descriptions of the multiple dimensions of trees. A new biometric system of equations derived from the laws of physics is proposed. At this time, the system is an approximation to semi-empirical models and it starts with the description of aboveground biomass and convolutes into volume, basal area, diameter and height of trees. Using meta datasets for boreal, temperate, tropical and semi-arid trees, I draw the coefficients required to test and validate the system with a second independent data set. Preliminarily testing of the new system of biometric equations provides compatible aboveground, volume, diameter and height of trees evaluated previously assessed with empirical techniques. The standard error did not exceed 10% of the evaluations when contrasted with assessments of conventional equations. However, this new mathematical technology requires be testing and validating with real data sets of trees and forests to understand the strengths and weakness in boreal, temperate, tropical and semi-arid forests because most of the data sets used to compare its performance are composed of local samples. This is a matter of further research.