This paper establishes that an isotropic spatial correlation function
in the form of a modified Bessel function of the second kind, first or
der, can be used to model the spatial variability of a pollution conce
ntration held over a sufficiently long period of time in which the var
iability due to meteorological factors has been smoothed out. The corr
esponding cumulative semivariogram is derived and fitted by nonlinear
least-squares to monthly averaged ozone data at 18 monitoring stations
of the Sydney region. The good fit of the model indicates that the Sy
dney airshed has homogeneous and isotropic subregions whose radius of
influence is about 17 km. The Bessel function form of the spatial corr
elation has a physical meaning as it is derived from the diffusion equ
ation; hence, it is expected that the model can be used, in general, t
o represent the spatial variability of a smoothed homogeneous and isot
ropic concentration held. (C) 1997 Elsevier Science Ltd.