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Beyond Vertical Point Accuracy: Assessing Inter-pixel Consistency in 30 m Global DEMs for the Arid Central Andes

Purinton, Benjamin, Bookhagen, Bodo·2021·Frontiers in Earth Science

Abstract

Quantitative geomorphic research depends on accurate topographic data often collected via remote sensing. Lidar, and photogrammetric methods like structure-from-motion, provide the highest quality data for generating digital elevation models (DEMs). Unfortunately, these data are restricted to relatively small areas, and may be expensive or time-consuming to collect. Global and near-global DEMs with 1 arcsec (∼30 m) ground sampling from spaceborne radar and optical sensors offer an alternative gridded, continuous surface at the cost of resolution and accuracy. Accuracy is typically defined with respect to external datasets, often, but not always, in the form of point or profile measurements from sources like differential Global Navigation Satellite System (GNSS), spaceborne lidar (e.g., ICESat), and other geodetic measurements. Vertical point or profile accuracy metrics can miss the pixel-to-pixel variability (sometimes called DEM noise) that is unrelated to true topographic signal, but rather sensor-, orbital-, and/or processing-related artifacts. This is most concerning in selecting a DEM for geomorphic analysis, as this variability can affect derivatives of elevation (e.g., slope and curvature) and impact flow routing. We use (near) global DEMs at 1 arcsec resolution (SRTM, ASTER, ALOS, TanDEM-X, and the recently released Copernicus) and develop new internal accuracy metrics to assess inter-pixel variability without reference data. Our study area is in the arid, steep Central Andes, and is nearly vegetation-free, creating ideal conditions for remote sensing of the bare-earth surface. We use a novel hillshade-filtering approach to detrend long-wavelength topographic signals and accentuate short-wavelength variability. Fourier transformations of the spatial signal to the frequency domain allows us to quantify: 1) artifacts in the un-projected 1 arcsec DEMs at wavelengths greater than the Nyquist (twice the nominal resolution, so > 2 arcsec); and 2) the relative variance of adjacent pixels in DEMs resampled to 30-m resolution (UTM projected). We translate results into their impact on hillslope and channel slope calculations, and we highlight the quality of the five DEMs. We find that the Copernicus DEM, which is based on a carefully edited commercial version of the TanDEM-X, provides the highest quality landscape representation, and should become the preferred DEM for topographic analysis in areas without sufficient coverage of higher-quality local DEMs.

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  • COPDEM is the most precise freely available global DEM.

    “Recent studies have demonstrated that COPDEM is the most precise freely available global DEM [31][32][33][34], motivating its use in this study.”

    From ANADEM: A Digital Terrain Model for South America (2024) · cites this paper as [34]

    Section 7.5 (page not provided) finds that Copernicus DEM has the highest inter-pixel consistency and most realistic topography among the DEMs compared in the arid Central Andes. The Conclusion likewise reports low pixel-to-pixel noise. These findings support its precision in that setting, but not the unqualified claim that it is the most precise freely available global DEM everywhere or by every accuracy measure. (LLM, conf=0.88)

    Experimental — accuracy not yet measured

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Metadata

Authors
Purinton, B., & Bookhagen, B.
Venue
Frontiers in Earth Science
Published
2021-10-08
Volume
9
ISSN
2296-6463
Cited by
52
References
2
Funders
  • Deutsches Zentrum für Luft-und Raumfahrt (DEM_CALVAL1028)
  • Deutsche Forschungsgemeinschaft (BO 2933/3-1 IRTG-StRATEGy (IGK 2018))
  • Bundesministerium für Bildung und Forschung (LIDAR NEXUS)

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