COMPLEX GEOGRAPHY AS A DIRECTION OF THEORETICAL RESEARCH AND MODELING

A. K. Cherkashin, E. Rasputina
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Abstract

The paper formulates basic terms and axioms of the concept of complex geography, defines its subject, methods and models, traces the differences between this approach and other directions in the development of the theory of geographical science, presents quantitative models of geocomplexes constructed based on remote sensing data. By complexes we mean metrized, inductive, commutative, transitive, linearly ordered, discrete-continuous, limited, and changing homotopy systems of information exchange that consist of functionally related heterogeneous elements. This distinguishes the complex approach from the geosystem-dynamic one and from other models of reality. The paper considers the terms of the theory of complex systems: bundle, compositions, combinations, configurations, congruences, tangent transformations, analogy, homology and homotopy, categories and toposes. In modeling, we use the Jacobi determinant as a measure of connectivity and rank distributions for ordinalistic evaluation. The models are illustrated by examples from traditional geographical science (the comparative-geographical method, factor-dynamic series, the law of geographical zoning, etc.). Based on the developed models, we carried out a comparative analysis of the landscapes of the Baikal region using remote sensing data. The elevation and the potential insolation according to the digital elevation model were considered as independent variables (influencing factors). As the dependent variables, the average duration of occurrence of stable snow cover and the earth's surface temperature according to MODIS data were used. The research revealed a congruence of different parts of the territory, which justifies the complexity of the climatic characteristics of the Baikal region according to the selected indicators.
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将复杂地理学作为理论研究和建模的方向
本文阐述了复杂地理学概念的基本术语和基本公理,界定了复杂地理学的研究对象、方法和模型,追溯了复杂地理学与地理科学理论发展方向的差异,提出了基于遥感数据构建复杂地理综合体的定量模型。所谓复合体,我们指的是度量的、归纳的、可交换的、可传递的、线性有序的、离散连续的、有限的和变化的同伦信息交换系统,这些系统由功能相关的异质元素组成。这将复杂方法与地球系统动力学方法和其他现实模型区别开来。本文研究了复杂系统的理论术语:束、组合、组合、构形、同余、切变换、类比、同调与同伦、范畴与拓扑。在建模中,我们使用雅可比行列式作为连通性和秩分布的度量,用于序数评估。并以传统地理科学中的比较地理学方法、因子动态序列法、地理区划法等为例对模型进行了说明。在此基础上,利用遥感数据对贝加尔湖地区景观进行了对比分析。将数字高程模型的高程和潜在日晒作为自变量(影响因子)。因变量采用MODIS数据中稳定积雪发生的平均持续时间和地表温度。研究表明,领土的不同部分是一致的,根据选定的指标,这证明了贝加尔湖地区气候特征的复杂性。
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