The Annals of Applied Statistics

Spatial variation of total column ozone on a global scale

Michael L. Stein

Full-text: Open access

Abstract

The spatial dependence of total column ozone varies strongly with latitude, so that homogeneous models (invariant to all rotations) are clearly unsuitable. However, an assumption of axial symmetry, which means that the process model is invariant to rotations about the Earth’s axis, is much more plausible and considerably simplifies the modeling. Using TOMS (Total Ozone Mapping Spectrometer) measurements of total column ozone over a six-day period, this work investigates the modeling of axially symmetric processes on the sphere using expansions in spherical harmonics. It turns out that one can capture many of the large scale features of the spatial covariance structure using a relatively small number of terms in such an expansion, but the resulting fitted model provides a horrible fit to the data when evaluated via its likelihood because of its inability to describe accurately the process’s local behavior. Thus, there remains the challenge of developing computationally tractable models that capture both the large and small scale structure of these data.

Article information

Source
Ann. Appl. Stat. Volume 1, Number 1 (2007), 191-210.

Dates
First available in Project Euclid: 29 June 2007

Permanent link to this document
http://projecteuclid.org/euclid.aoas/1183143735

Digital Object Identifier
doi:10.1214/07-AOAS106

Mathematical Reviews number (MathSciNet)
MR2393847

Zentralblatt MATH identifier
1129.62115

Keywords
Spherical process axially symmetric process TOMS

Citation

Stein, Michael L. Spatial variation of total column ozone on a global scale. Ann. Appl. Stat. 1 (2007), no. 1, 191--210. doi:10.1214/07-AOAS106. http://projecteuclid.org/euclid.aoas/1183143735.


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