Articles | Volume 24, issue 2
https://doi.org/10.5194/npg-24-279-2017
https://doi.org/10.5194/npg-24-279-2017
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

Viewed

Total article views: 2,946 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
1,944 811 191 2,946 200 203
  • HTML: 1,944
  • PDF: 811
  • XML: 191
  • Total: 2,946
  • BibTeX: 200
  • EndNote: 203
Views and downloads (calculated since 30 Jun 2016)
Cumulative views and downloads (calculated since 30 Jun 2016)

Cited

Latest update: 19 Apr 2024
Download
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.