Visual Methods for Representing Flow Space with Vector Fields (Short Paper)

Authors Han Zhang, Zhaoya Gong, Jean-Claude Thill



PDF
Thumbnail PDF

File

LIPIcs.GIScience.2023.90.pdf
  • Filesize: 3.03 MB
  • 6 pages

Document Identifiers

Author Details

Han Zhang
  • School of Urban Planning and Design, Peking University Shenzhen Graduate School, Shenzhen, Guangdong, China
  • Key Laboratory of Earth Surface System and Human-Earth Relations of Ministry of Natural Resources of China, Peking University Shenzhen Graduate School, Shenzhen, Guangdong, China
Zhaoya Gong
  • School of Urban Planning and Design, Peking University Shenzhen Graduate School, Shenzhen, Guangdong, China
  • Key Laboratory of Earth Surface System and Human-Earth Relations of Ministry of Natural Resources of China, Peking University Shenzhen Graduate School, Shenzhen, Guangdong, China
Jean-Claude Thill
  • Department of Geography and Earth Sciences, University of North Carolina at Charlotte, NC, USA

Cite As Get BibTex

Han Zhang, Zhaoya Gong, and Jean-Claude Thill. Visual Methods for Representing Flow Space with Vector Fields (Short Paper). In 12th International Conference on Geographic Information Science (GIScience 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 277, pp. 90:1-90:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023) https://doi.org/10.4230/LIPIcs.GIScience.2023.90

Abstract

The issue of human mobility has been a focal point of research among numerous scholars in the field of geography for decades. Among them, the visualization of origin-destination (OD) data is an important branch of geographic flow studies. In this paper, we vectorize and represent immigration flows using OD flow data of U.S. immigrants in the year 2000, constructing an immigration space. Through data validation, it is confirmed that the vector field satisfies the Gauss’s theorem and is irrotational, demonstrating that the field can be derived from a potential and that the field is uniquely determined by the potential. Scalar potential fields are inferred from the vector field, providing a more intuitive and convenient description of the underlying flow patterns in geographical interaction matrices. Additionally, this paper employs potential fields and applies a density-equalizing areal cartogram to reconstruct the global representation of functional space, constructing cartogram maps based on potential magnitudes.

Subject Classification

ACM Subject Classification
  • Applied computing → Cartography
Keywords
  • interstate migration
  • vector field
  • areal cartogram
  • geographic visualization

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads

References

  1. Michael Batty. The new science of cities. MIT press, 2013. Google Scholar
  2. Zhaoya Gong and Jean-Claude Thill. Vector field based approach to reconstruct and represent functional spaces with areal cartogram, 2017. Google Scholar
  3. Xi Liu, Clio Andris, and Bruce A Desmarais. Migration and political polarization in the us: An analysis of the county-level migration network. PloS one, 14(11):e0225405, 2019. Google Scholar
  4. Mattia Mazzoli, Alex Molas, Aleix Bassolas, Maxime Lenormand, Pere Colet, and José J Ramasco. Field theory for recurrent mobility. Nature communications, 10(1):3895, 2019. Google Scholar
  5. Peter Nijkamp and Waldemar Ratajczak. Gravitational analysis in regional science and spatial economics: A vector gradient approach to trade. International Regional Science Review, 44(3-4):400-431, 2021. Google Scholar
  6. David A Plane. Migration space: Doubly constrained gravity model mapping of relative interstate separation. Annals of the Association of American Geographers, 74(2):244-256, 1984. Google Scholar
  7. Waldo Tobler. Spatial interaction patterns, 1975. Google Scholar
  8. Jingyuan Wang, Jiahao Ji, Zhe Jiang, and Leilei Sun. Traffic flow prediction based on spatiotemporal potential energy fields. IEEE Transactions on Knowledge and Data Engineering, 2022. Google Scholar
  9. Hu Yang, Minglun Li, Bao Guo, Fan Zhang, and Pu Wang. A vector field approach for identifying anomalous human mobility. IET Intelligent Transport Systems, 17(4):649-666, 2023. Google Scholar
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail