Articles | Volume 5, issue 1
https://doi.org/10.5194/gchron-5-263-2023
https://doi.org/10.5194/gchron-5-263-2023
Short communication/technical note
 | 
17 May 2023
Short communication/technical note |  | 17 May 2023

Short communication: The Wasserstein distance as a dissimilarity metric for comparing detrital age spectra and other geological distributions

Alex Lipp and Pieter Vermeesch

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Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse

Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision | EF: Editorial file upload
ED: Publish subject to revisions (further review by editor and referees) (10 Feb 2023) by Michael Dietze
AR by Alex Lipp on behalf of the Authors (13 Mar 2023)  Author's response   Author's tracked changes   Manuscript 
ED: Referee Nomination & Report Request started (14 Mar 2023) by Michael Dietze
RR by Joel Saylor (20 Mar 2023)
RR by Anonymous Referee #1 (27 Mar 2023)
ED: Publish subject to revisions (further review by editor and referees) (28 Mar 2023) by Michael Dietze
AR by Alex Lipp on behalf of the Authors (03 Apr 2023)  Author's response   Author's tracked changes   Manuscript 
ED: Publish as is (17 Apr 2023) by Michael Dietze
ED: Publish as is (18 Apr 2023) by Klaus Mezger (Editor)
AR by Alex Lipp on behalf of the Authors (25 Apr 2023)  Manuscript 
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Short summary
We propose using the Wasserstein-2 distance (W2) as an alternative to the widely used Kolmogorov–Smirnov (KS) statistic for analysing distributional data in geochronology. W2 measures the horizontal distance between observations, while KS measures vertical differences in cumulative distributions. Using case studies, we find that W2 is preferable in scenarios where the absolute age differences in observations provide important geological information. W2 has been added to the R package IsoplotR.