Frontiers in Environmental Science
Topological data -- analysis, Spacial Pattern -- analysis
Topological data analysis (TDA) combines concepts from algebraic topology, machine learning, statistics, and data science which allow us to study data in terms of their latent shape properties. Despite the use of TDA in a broad range of applications, from neuroscience to power systems to finance, the utility of TDA in Earth science applications is yet untapped. The current study aims to offer a new approach for analyzing multi-resolution Earth science datasets using the concept of data shape and associated intrinsic topological data characteristics. In particular, we develop a new topological approach to quantitatively compare two maps of geophysical variables at different spatial resolutions. We illustrate the proposed methodology by applying TDA to aerosol optical depth (AOD) datasets from the Goddard Earth Observing System, Version 5 (GEOS-5) model over the Middle East. Our results show that, contrary to the existing approaches, TDA allows for systematic and reliable comparison of spatial patterns from different observational and model datasets without regridding the datasets into common grids.
Copyright © 2021 Ofori-Boateng, Lee, Gorski, Garay and Gel. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
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Ofori-Boateng, D., Lee, H., Gorski, K. M., Garay, M. J., & Gel, Y. R. (2021). Application of Topological Data Analysis to Multi-Resolution Matching of Aerosol Optical Depth Maps. Frontiers in Environmental Science, 9, 684716. https://doi.org/10.3389/fenvs.2021.684716