Abstracts

Information biology

A geobotanical classification is vegetation classification (syntaxonomy) based on plant species composition and their abundance. In it syntaxons are determined as sets of vegetation communities, which have some similarities. As a rule syntaxonomy has a hierarchy, when big syntaxons are divided on small syntaxons on a lower level due to more detail step similarity. A geobotanical map is a geographic map, on which areas of different vegetation communities belonging to a different syntaxons are showed. Usually on a map the syntaxons of different hierarchcal levels and complexes of communities are displayed, that creates some problems to find correspondence between geobotanical classification and map legend. Let the syntaxonomy is a space of some dimension, in which syntaxons determined as three-dimensional domains. This report results analysis of including of a geobotanical map into a syntaxonomic space.

A syntaxonomic space must be five-dimensional (the theorem of Nebeling-Pontryagin; Aleksandrov, Pasynkov, 1973). Each syntaxon (unit of geobotanical classification) is presented in it by a three-dimensional domain and has non-crossing boundaries with all other syntaxons. The geobotanical map is nested into the syntaxonomic space in such a way that all contours of the map by one type will occur in one three-dimentional domain of a corresponding syntaxon as a book of non-crossing sheets. Map nesting permits tensions, bends and doesnt permit discontinuities, self-intersections and overwinds.

The syntaxon in such a space has two types of boundaries: taxonomic dividing map sheets on the different coloured groups, and meronomic - cutting map sheets on separate areas. If two syntaxons have not contiguous areas in map frames, in a syntaxonomic space between these syntaxons the taxonomic boundary only is present.

Changes of geobotanical classification are reflected on the map image by various ways. Taxonomic boundaries addition or removal changes only map colouring. Meronomic boundaries addition or removal modifies a structure of its contours. The allochtonous dynamics of vegetation may by reflected using only meronomic transformations, but the autochthonous one - using only taxonomic transformations of the syntaxonomic space.

In the syntaxonomic space only one hierarchical structure may be determined at once. Both a changeover of level hierarchy and an introduction of other hierarchy changes the color scheme of a map only.

The analysis shows that geobotanical classification has a dimension which a much lower then a dimension of a parametric space. Objects of classification serve as individuals divided by taxonomic boundaries, and as merons (parts of individuals) divided by meronomic boundaries. I hope these results will be useful to those who are interested in classification and mapping problems.

Note. Abstracts are published in author's edition

Comments

[Home] [Conference]

©2001, Siberian Branch of Russian Academy of Science, Novosibirsk
©2001, United Institute of Computer Science SB RAS, Novosibirsk
©2001, Institute of Computational Techologies SB RAS, Novosibirsk
©2001, A.P. Ershov Institute of Informatics Systems SB RAS, Novosibirsk
©2001, Institute of Mathematics SB RAS, Novosibirsk
©2001, Institute of Cytology and Genetics SB RAS, Novosibirsk
©2001, Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk
©2001, Novosibirsk State University
Last modified 06-Jul-2012 (11:45:21)