.png){kind=icon}
Return
Correlation Models for Temperature Fields
.png){kind=icon}
OA
AI
DOI：10.1175/2011JCLI4199.1.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This paper presents derivations of some analytical forms for spatial correlations of evolving random fields governed by a white-noise-driven damped diffusion equation that is the analog of autoregressive order 1 in time and autoregressive order 2 in space. The study considers the two-dimensional plane and the surface of a sphere, both of which have been studied before, but here time is introduced to the problem. Such models have a finite characteristic length (roughly the separation at which the autocorrelation falls to 1/e) and a relaxation time scale. In particular, the characteristic length of a particular temporal Fourier component of the field increases to a finite value as the frequency of the particular component decreases. Some near-analytical formulas are provided for the results. A potential application is to the correlation structure of surface temperature fields and to the estimation of large area averages, depending on how the original datastream is filtered into a distribution of Fourier frequencies (e.g., moving average, low pass, or narrow band). The form of the governing equation is just that of the simple energy balance climate models, which have a long history in climate studies. The physical motivation provided by the derivation from a climate model provides some heuristic appeal to the approach and suggests extensions of the work to nonuniform cases.
Keywords:
GLOBAL MEAN TEMPERATURE
2ND-MOMENT STATISTICS
CLIMATE
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
4
Papers:
1.4W
Citations:
5.9W
Organization
Cited Papers
ShareSaveShareSaveCompensatory Enlargement of Angiographically Normal Coronary Segments in Patients with Coronary Artery Disease.png)
Angiology
AngiologyIF0
PREAI
ShareSaveRegulation of Ovarian Function in Holstein Heifers with Sc-21009 Implants and Estradiol Valerate
PREAI
ShareSaveA microscopic survey on the efficiency of well-known routine chemical fixatives on cryosections
PREAI
ShareSaveComparative metabolic and lipidomic profiling of human breast cancer cells with different metastatic potentialsOncotargetOAAI
OncotargetIF0
OAAIShareSave
View more