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| COGNITION BASIS OF FRACTIONAL DIMENSION IN HUMAN ECONOMIC GEOGRAPHICAL SPACE: THE APPLICATION OF FRACTAL TECHNOLOGY |
| SONG Zhi-jun1,2 |
1. The College of Geography and Environmental Science, Henan University, Kaifeng 475004, China;
2. Key Laboratory of Geospatial Technology for the Middle and Lower Yellow River Regions, Ministry of Education, Henan University, Kaifeng 475004, China |
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Abstract Human economic geographical system is a complex open giant system. Traditional mathematical methods cannot explain and describe its seemingly disordered existence form and running process. In general, the monomer is in the process of change, the grassroots level shows chaos, and the macro level shows certain certainty or regularity, which constitutes the basic characteristics of the human economic geographical reality space. Compounded together, they not only enhance the complexity of the spatial system, but also become a source of fractal dimension. In fact, human economic geographical space is a final performance of phase transitions and criticality phenomenon in social economic system, and the fractal dimension is the reflection of the self-similar feature. To deeply understand this complex system full of nonlinear features and processes, this paper introduces the performance form, cognitive process and basic mathematical description of human economic geographical system. Also, this research has a summary and discussion for its measurement methods:Fractal of theoretical basis, calculation method, application "circumstance" and research development. From the mathematical point of view, fractal is mainly through the analysis of quantitative indicators with scale-free characteristics such as system singularity, evolution intensity, evolution dominance or subjectivity, to reflect irregular and difficult to measure spatial pattern changes and their evolution details.
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Received: 28 February 2022
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