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Poster: Uncertainties on Palæogeographic Reconstructions: Effects of Interpolation Methods

Franziskakis, Florian; Vérard, Christian; Kasparian, Jerome; Giuliani, Gregory

Abstract

Poster presented during the American Geophysical Union (AGU) 2025 Annual Meeting in New Orleans (LA, USA), within Session "GP43A - Frontiers in Paleogeography". Palæogeography ― the geography of the Earth in deep-time ― can be derived from different methods, among which thermochonometric data inversion (in general at local or regional scale), computer-generated topography from global plate tectonic reconstruction (see TopoChronia1), or topography inferred from lithofacies deposits. In any cases, all palæogeographic maps stem from the interpolation of spatially irregularly-distributed data points (or nodes). Here, we assess the performance of seven methods from five providers to interpolate global topographic maps based on irregularly-distributed vector points (nodes) derived from the Panalesis plate tectonic model. We sample the elevation for each node to a reference Digital Elevation Model of the present-day (ETopo2022) and compare the 204 output maps to this very reference both in terms of absolute accuracy and terrain variations accuracy. Some open-source solutions from QGIS and associated libraries perform better than ArcGIS solutions. We find in particular that the Triangulated Irregular Network best meets our requirements for palæogeography interpolation. Errors are systematically the same across all methods, with different amplitudes, and caused by the distribution of the input nodes, that are either too dense in some areas and too far apart in other areas. Our input nodes are however sufficiently well distributed for rendering quick terrain variations. A minimal uncertainty threshold of approximately 2.2% is estimated. 1,https://github.com/florianfranz/topo_chronia

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Uncertainties on Palæogeographic Reconstructions: Effects of Interpolation Methods Christian Vérard1, Florian Franziskakis2, Jérôme Kasparian2,3, Grégory Giuliani2 [email protected] Global topographic products are available for present-day Earth Deep-time topography must be created from highly sparse points. What interpolation method is best? What uncertainties? ETOPO [1] Inverse Distance Weighting (IDW) IDW Nearest Neighbour (IDW_NN) Nearest Neighbour (NN) Kriging Natural Neighbour (NatN) Topography to Raster (TopotoRaster) Triangulated Irregular Network (TIN) SNSF grant #213539: Long-term evolution of the Earth from the base of the mantle to the top of the atmosphere: Understanding the mechanisms leading to ‘greenhouse’ and ‘icehouse’ regimes Sea-level is highly sensitive to oceanic volume estimates <1% oceanic volume underestimate leads to 37m of sealevel increase TIN (QGIS) is the best method, being open source, fast, yielding low errors, and estimating well oceanic volume. Implemented in TopoChronia, a QGIS plugin for the creation of palaeogeographic maps TIN (QGIS) & Kriging, NatN, TopotoRaster (ArcGIS) are better TIN (QGIS), NatN (ArcGIS) & NN (GDAL) are faster Systematic errors created by highly heterogeneous sampling TopoChronia QGIS Plugin Palæogeographic Maps (entire Phanerozoic) PANALESIS [2] [1] NOAA. (2022). NOAA National Centers for Environmental Information. 2022: ETOPO 2022 15 Arc-Second Global Relief Model. [Dataset]. https://doi.org/10.25921/fd45-gt74 [2] Franziskakis, F., Vérard, C., Castelltort, S., & Giuliani, G. (2025). Global Quantified Palaeogeographic Maps and Associated Sea-level Variations for the Phanerozoic using the PANALESIS Model [Dataset]. Zenodo. https://doi.org/10.5281/zenodo.15396265 [3] Franziskakis, F., Vérard, C., Castelltort, S., Kasparian, J., & Giuliani, G., (submitted) Comparison of Interpolation Methods for Global Topographic Maps with Highly Inhomogeneous Data Sampling. 1 Department of Earth Science, University of Geneva, Rue des Maraîchers 13, CH-1205 Genève 2 Institute for Environmental Sciences, University of Geneva, Boulevard Carl-Vogt 66, CH-1205 Genève 3 Department of Applied Physics, University of Geneva, Rue de l’Ecole de Médecine, CH-1205 Genève Problem Performance Impact of sampling Key Takeaways Processing Time Impact on Sea-Level Discover More References Best Result per Method Workflow Elevation Difference (ETOPO – Rx) [m] Poster #GP41B-0352