Exploring geographic hotspots using topological data analysis

Zhang, Rui; Lukasczyk, Jonas; Wang, Feng; Ebert, David S.; Shakarian, Paulo; Mack, Elizabeth A.; Maciejewski, Ross

doi:10.1111/tgis.12816

Cited by 3 publications

(1 citation statement)

References 75 publications

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“…Zhang et al. (2021) presented a method based on Scalar Field Topology (SFT) for interactive characterization and analysis of hotspots in density fields defined on regular grids. Gidea and Katz (2018) developed a TDA‐based approach to construct temporally correlated networks with topological structures from time series of multiple stock prices to detect early indicators of critical transitions in financial data.…”

Section: Related Workmentioning

confidence: 99%

Spatiotemporal analysis of global grain trade multilayer networks considering topological clustering

Tu,

Shu,

et al. 2024

Transactions in GIS

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With accelerating globalization, the complexity of the global grain trade network structure is increasing. Traditional network analysis approaches have certain limitations in capturing these dynamic changes and hidden topological structures in data. Based on global import and export trade data for rice, wheat, and corn from 1988 to 2022, this study has proposed a novel method for the topological clustering of temporal multilayer networks based on topological data analysis in order to systematically assess the topological structure evolution of temporal multilayer networks. The results indicate that different agricultural trade networks reveal hidden clustering characteristics in different years. In addition, this study combines principles from landscape ecology to construct a dynamic community spatiotemporal change model of grain trade networks, aiming to comprehensively reveal potential patterns and dynamic trends in grain trade networks and provide valuable information for grain trade decision‐making.

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Section: Related Workmentioning

confidence: 99%

Spatiotemporal analysis of global grain trade multilayer networks considering topological clustering

Tu,

Shu,

et al. 2024

Transactions in GIS

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Delineation of basins and hills by Morse theory and critical nets

Wolf

2024

Transactions in GIS

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The delineation of two‐dimensional ascending and descending manifolds represents the theoretical basis for a large number of applications in which functions are used to describe phenomena related to climate, economy, or engineering, to mention only a few. Whereas the applications are related to the pits, passes, peaks, courses, ridges, basins, and hills, of mathematical interest are the corresponding critical points, separatrices as well as two‐dimensional ascending and descending manifolds. The present article demonstrates how the boundaries of the latter, which represent the pre‐images of basins and hills, can be characterized in a graph‐theoretic way. An algorithm for their extraction, which is based on a newly proved theorem, is presented together with its implementation in C#. Finally, the modus operandi of the algorithm is illustrated by two examples, thereby demonstrating how it works even in the case of surfaces with topologically complicated structures.

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Field Model-Based Cultural Diffusion Patterns and GIS Spatial Analysis Study on the Spatial Diffusion Patterns of Qijia Culture in China

Wang

Zhao

et al. 2022

Remote Sensing

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Cultural diffusion is one of the core issues among researchers in the field of cultural geography. This study aimed to examine the spatial diffusion patterns of the Qijia culture (QJC) to clarify the origin and formation process of Chinese field model-based cultural diffusion patterns (FM-CDP) and geographic information system (GIS) spatial analysis methods. It used the point data of Qijia cultural sites without time information and combined them with the relevant records of Qijia cultural and historical documents, as well as archaeological excavation materials. Starting with the spatial location information of cultural distribution, it comprehensively analysed the cultural hearth, regions, diffusion patterns, and diffusion paths. The results indicated the following. (1) The QJC’s heart is in the southeast of Gansu Province, where the Shizhaocun and Xishanping sites are distributed. (2) Five different levels of cultural regions were formed, which demonstrated different diffusion patterns at different regional scales. On a large regional scale, many cultural regions belong to relocation diffusion patterns. Meanwhile, at the small regional scale (in the Gansu–Qinghai region), there are two patterns of diffusion: expansion diffusion and relocation diffusion; however, the expansion diffusion pattern is the main one. (3) Based on the relationship between the QJC, altitude, and the water system, the culture also has the characteristics of diffusion to low altitude areas and a pattern of diffusion along water systems. (4) There is a circular structure of the core, periphery, and fringe regions of the QJC. Finally, (5) the dry and cold climate around 4000a B.P., the cultural exchange between Europe and the Asian continent (the introduction of barley, wheat, livestock and sheep, and copper smelting technology), and the war in the late Neolithic period were important factors affecting the diffusion of the QJC.

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Exploring geographic hotspots using topological data analysis

Cited by 3 publications

References 75 publications

Spatiotemporal analysis of global grain trade multilayer networks considering topological clustering

Spatiotemporal analysis of global grain trade multilayer networks considering topological clustering

Delineation of basins and hills by Morse theory and critical nets

Field Model-Based Cultural Diffusion Patterns and GIS Spatial Analysis Study on the Spatial Diffusion Patterns of Qijia Culture in China

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