Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable Terrain

The monitoring of Earth’s and planetary surface elevations at larger and finer scales is rapidly progressing through the increasing availability and resolution of digital elevation models (DEMs). Surface elevation observations are being used across an expanding range of fields to study to...

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Main Authors: Romain Hugonnet, Fanny Brun, Etienne Berthier, Amaury Dehecq, Erik Schytt Mannerfelt, Nicolas Eckert, Daniel Farinotti
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9815885/
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author Romain Hugonnet
Fanny Brun
Etienne Berthier
Amaury Dehecq
Erik Schytt Mannerfelt
Nicolas Eckert
Daniel Farinotti
author_facet Romain Hugonnet
Fanny Brun
Etienne Berthier
Amaury Dehecq
Erik Schytt Mannerfelt
Nicolas Eckert
Daniel Farinotti
author_sort Romain Hugonnet
collection DOAJ
description The monitoring of Earth’s and planetary surface elevations at larger and finer scales is rapidly progressing through the increasing availability and resolution of digital elevation models (DEMs). Surface elevation observations are being used across an expanding range of fields to study topographical attributes and their changes over time, notably in glaciology, hydrology, volcanology, seismology, forestry, and geomorphology. However, DEMs frequently contain large-scale instrument noise and varying vertical precision that lead to complex patterns of errors. Here, we present a validated statistical workflow to estimate, model, and propagate uncertainties in DEMs. We review the state-of-the-art of DEM accuracy and precision analyses, and define a conceptual framework to consistently address those. We show how to characterize DEM precision by quantifying the heteroscedasticity of elevation measurements, i.e., varying vertical precision with terrain- or sensor-dependent variables, and the spatial correlation of errors that can occur across multiple spatial scales. With the increasing availability of high-precision observations, our workflow based on independent elevation data acquired on stable terrain can be applied almost anywhere on Earth. We illustrate how to propagate uncertainties for both pixel-scale and spatial elevation derivatives, using terrain slope and glacier volume changes as examples. We find that uncertainties in DEMs are largely underestimated in the literature, and advocate that new metrics of DEM precision are essential to ensure the reliability of future land elevation assessments.
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spelling doaj.art-05f07df6da20441aacf403202c263d9d2022-12-22T02:46:15ZengIEEEIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing2151-15352022-01-01156456647210.1109/JSTARS.2022.31889229815885Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable TerrainRomain Hugonnet0https://orcid.org/0000-0002-0955-1306Fanny Brun1https://orcid.org/0000-0001-6607-0667Etienne Berthier2https://orcid.org/0000-0001-5978-9155Amaury Dehecq3https://orcid.org/0000-0002-5157-1183Erik Schytt Mannerfelt4https://orcid.org/0000-0002-9146-557XNicolas Eckert5https://orcid.org/0000-0002-1880-8820Daniel Farinotti6https://orcid.org/0000-0003-3417-4570LEGOS, Université de Toulouse, CNES, CNRS, IRD, UPS, Toulouse, FranceIGE, Université Grenoble Alpes, CNRS, IRD, Grenoble INP, Grenoble, FranceLEGOS, Université de Toulouse, CNES, CNRS, IRD, UPS, Toulouse, FranceLaboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zürich, Zürich, SwitzerlandLaboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zürich, SwitzerlandUniversité Grenoble Alpes, INRAE, UR ETNA, Grenoble, FranceLaboratory of Hydraulics, Hydrology and Glaciology (VAW), ETH Zürich, SwitzerlandThe monitoring of Earth’s and planetary surface elevations at larger and finer scales is rapidly progressing through the increasing availability and resolution of digital elevation models (DEMs). Surface elevation observations are being used across an expanding range of fields to study topographical attributes and their changes over time, notably in glaciology, hydrology, volcanology, seismology, forestry, and geomorphology. However, DEMs frequently contain large-scale instrument noise and varying vertical precision that lead to complex patterns of errors. Here, we present a validated statistical workflow to estimate, model, and propagate uncertainties in DEMs. We review the state-of-the-art of DEM accuracy and precision analyses, and define a conceptual framework to consistently address those. We show how to characterize DEM precision by quantifying the heteroscedasticity of elevation measurements, i.e., varying vertical precision with terrain- or sensor-dependent variables, and the spatial correlation of errors that can occur across multiple spatial scales. With the increasing availability of high-precision observations, our workflow based on independent elevation data acquired on stable terrain can be applied almost anywhere on Earth. We illustrate how to propagate uncertainties for both pixel-scale and spatial elevation derivatives, using terrain slope and glacier volume changes as examples. We find that uncertainties in DEMs are largely underestimated in the literature, and advocate that new metrics of DEM precision are essential to ensure the reliability of future land elevation assessments.https://ieeexplore.ieee.org/document/9815885/Error propagationGeostatisticsRandomRemote sensingSurface heightSystematic
spellingShingle Romain Hugonnet
Fanny Brun
Etienne Berthier
Amaury Dehecq
Erik Schytt Mannerfelt
Nicolas Eckert
Daniel Farinotti
Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable Terrain
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Error propagation
Geostatistics
Random
Remote sensing
Surface height
Systematic
title Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable Terrain
title_full Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable Terrain
title_fullStr Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable Terrain
title_full_unstemmed Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable Terrain
title_short Uncertainty Analysis of Digital Elevation Models by Spatial Inference From Stable Terrain
title_sort uncertainty analysis of digital elevation models by spatial inference from stable terrain
topic Error propagation
Geostatistics
Random
Remote sensing
Surface height
Systematic
url https://ieeexplore.ieee.org/document/9815885/
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AT fannybrun uncertaintyanalysisofdigitalelevationmodelsbyspatialinferencefromstableterrain
AT etienneberthier uncertaintyanalysisofdigitalelevationmodelsbyspatialinferencefromstableterrain
AT amaurydehecq uncertaintyanalysisofdigitalelevationmodelsbyspatialinferencefromstableterrain
AT erikschyttmannerfelt uncertaintyanalysisofdigitalelevationmodelsbyspatialinferencefromstableterrain
AT nicolaseckert uncertaintyanalysisofdigitalelevationmodelsbyspatialinferencefromstableterrain
AT danielfarinotti uncertaintyanalysisofdigitalelevationmodelsbyspatialinferencefromstableterrain