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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 24, issue 2
Nonlin. Processes Geophys., 24, 279–291, 2017
https://doi.org/10.5194/npg-24-279-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Nonlin. Processes Geophys., 24, 279–291, 2017
https://doi.org/10.5194/npg-24-279-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 15 Jun 2017

Research article | 15 Jun 2017

Formulation of scale transformation in a stochastic data assimilation framework

Feng Liu and Xin Li

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Interactive discussion

Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Peer review completion

AR: Author's response | RR: Referee report | ED: Editor decision
AR by Anna Mirena Feist-Polner on behalf of the Authors (01 Nov 2016)  Author's response
ED: Referee Nomination & Report Request started (01 Nov 2016) by Olivier Talagrand
RR by Peter Jan van Leeuwen (20 Nov 2016)
RR by Anonymous Referee #1 (24 Nov 2016)
ED: Reconsider after major revisions (further review by Editor and Referees) (28 Nov 2016) by Olivier Talagrand
AR by Feng LIU on behalf of the Authors (27 Jan 2017)  Author's response
ED: Referee Nomination & Report Request started (01 Feb 2017) by Olivier Talagrand
RR by Anonymous Referee #1 (14 Feb 2017)
RR by Peter Jan van Leeuwen (19 Feb 2017)
ED: Publish subject to minor revisions (further review by Editor) (22 Feb 2017) by Olivier Talagrand
AR by Feng LIU on behalf of the Authors (14 Mar 2017)  Author's response    Manuscript
ED: Publish subject to minor revisions (further review by Editor) (10 Apr 2017) by Olivier Talagrand
AR by Feng LIU on behalf of the Authors (20 Apr 2017)  Author's response    Manuscript
ED: Publish subject to technical corrections (03 May 2017) by Olivier Talagrand
AR by Feng LIU on behalf of the Authors (11 May 2017)  Author's response    Manuscript
Publications Copernicus
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Short summary
This is the first mathematical definitions of the spatial scale and its transformation based on Lebesgue measure. An Ito process-formed geophysical variable with respect to scale was also provided. The stochastic calculus for data assimilation discovered the new expressions of error caused by spatial scale transformation. The results improve the ability to understand the spatial scale transformation and related uncertainties in Earth observation, modelling and data assimilation.
This is the first mathematical definitions of the spatial scale and its transformation based on...
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