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June 2007 Spatial variation of total column ozone on a global scale
Michael L. Stein
Ann. Appl. Stat. 1(1): 191-210 (June 2007). DOI: 10.1214/07-AOAS106


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.


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Michael L. Stein. "Spatial variation of total column ozone on a global scale." Ann. Appl. Stat. 1 (1) 191 - 210, June 2007.


Published: June 2007
First available in Project Euclid: 29 June 2007

zbMATH: 1129.62115
MathSciNet: MR2393847
Digital Object Identifier: 10.1214/07-AOAS106

Keywords: axially symmetric process , Spherical process , TOMS

Rights: Copyright © 2007 Institute of Mathematical Statistics


Vol.1 • No. 1 • June 2007
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