DOI: 10.7256/2585-7797.2019.2.28612

Abstract: Information technology of geochronological tracking in history is a combination of processes which accumulate and integrate data about geographic relocation of historical figures for a given time interval and present the results as a generalizing graph in GIS. Hypotheses on stable migration trends are sub-graphs of this graph. To test such trends is to search and evaluate statistical significance of isomorphism (structural similarity) of corresponding graphs. Rationalization of algorithm is achieved by means of a reasonably chosen basic method searching for isomorphic embedding into geochronotrack graph basis. The basic methodological approach is a combination of representative and analytical methods of modern geoinformatics and graph theory. Full-featured development of computer interpretation of graph theory methods based on geochronological tracking provides for new quality of historical studies using modern GIS-tools. Namely, a researcher can use quantitative methods of a corresponding logical-analytical apparatus. The article addresses qualitatively new possibilities of such an approach and a corresponding algorithmic apparatus. .

DOI: 10.7256/2585-7797.2018.1.25344

Abstract: Information technology of geochronological tracking is a total of processes that accumulate and integrate data on geographic relocation of historical figures for a given time interval and represent the results as a generalizing graph in GIS. Hypotheses about stable migration trends are represented as subgraphs of the graph. To test such hypotheses is to search and evaluate statistical significance of relevant graph isomorphism. The article describes these qualitatively new opportunities provided by such an approach as well as relevant mathematical and algorithmic tools. Methodology of the study grounds on graph theory, probability theory, mathematical statistics and statistical accuracy and stability evaluation methods. Information technologies of geochronological tracking form the methodological and program apparatus for automation of selected class of historical tasks, connected to fusion of biographical and geographic data based on GIS. The novelty of the study is a new class of methodical tools for historical studies addressing geospatial social and political processes on the basis of geoinformation systems and relevant technologies. The main theoretical conclusion is the applicability of mathematical tools of confidence figure evaluation when making a decision in historical studies on the basis of geochronological tracking net structures.