Articles | Volume 28, issue 3
Nonlin. Processes Geophys., 28, 409–422, 2021
https://doi.org/10.5194/npg-28-409-2021
Nonlin. Processes Geophys., 28, 409–422, 2021
https://doi.org/10.5194/npg-28-409-2021

Research article 03 Sep 2021

Research article | 03 Sep 2021

The blessing of dimensionality for the analysis of climate data

Bo Christiansen

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Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on npg-2021-2', Anonymous Referee #1, 22 Mar 2021
    • AC1: 'Reply on RC1', Bo Christiansen, 27 Mar 2021
  • RC2: 'Comment on npg-2021-2', Maarten Ambaum, 06 Jul 2021
    • AC2: 'Reply on RC2', Bo Christiansen, 12 Jul 2021

Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by Bo Christiansen on behalf of the Authors (20 Jul 2021)  Author's response    Author's tracked changes    Manuscript
ED: Publish as is (29 Jul 2021) by Stéphane Vannitsem
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Short summary
In geophysics we often need to analyse large samples of high-dimensional fields. Fortunately but counterintuitively, such high dimensionality can be a blessing, and we demonstrate how this allows simple analytical results to be derived. These results include estimates of correlations between sample members and how the sample mean depends on the sample size. We show that the properties of high dimensionality with success can be applied to climate fields, such as those from ensemble modelling.