Forest stand assortment structure analysis using mathematical modelling
2002
Ozolins, R. (Latvia University of Agriculture, Jelgava (Latvia). Department of Mathematics)
Advanced information technology has created new possibilities for solving various tasks of forest estimation. A typical and challenging problem is tree trunk assortment structure analysis, which can be solved by a creative use of mathematical modelling and standard computer programs. There are some original recommendations. A tree trunk mathematical form model consists of tapering curve equations and their parameters. A large amount of data is needed for getting reliable values for these constants. The parameters for nine species were obtained from several years of mathematical processing of the measurements of 2,794 model trees, studying the variability of 53,000 relative diameters and using such extraordinary method as perturbation relative diameters for eliminating the lack of sufficient customary measurements. An individual tree trunk with given dimensions is, naturally, the major unit for forest stand assortment structure analysis. However, diameter fluctuations are also of essential importance. For determining tree trunk distribution by the diameter class the suggestion is made to calculate the frequency by using the density function of normal distribution with the truncated left side. In order to use the hyperbolic equation for analytical smoothing, the relationship of tree height to tree height was investigated for the first time in 1968. Certainly, standard mathematical methods were used for calculations in many cases. There is no reason, however, for working out the details of well-known things
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