Models of the geomagnetic main field of degree and order 13 are constr
ucted for epoch 1992.5. These are based on combinations of (quiet-time
, low activity) Polar Orbiting Geomagnetic Survey (FOGS) total intensi
ty data, and various near-surface, largely vector, measurements. We co
nsider the significance in the fit of models to data of: (a) the spati
al sampling interval; (b) the estimated ionospheric field corrections
at FOGS satellite altitude produced by Quinn et al. (1995); (c) the de
gree and order one external field coefficients; and (d) the relative p
roportions of POGS and near-surface data. At this degree and order it
is found that: (a) the main-field model accuracy is relatively insensi
tive to the average sampling interval over a 15:1 range of intervals;
(b) the most accurate models are those in which the estimated ionosphe
ric field corrections are not included; (c) the external dipole term i
s of the order of +20 nT and hence has a marginal impact on model accu
racy at the Earth's surface; and (d) a relatively high ratio, of order
4:1, of FOGS to surface data optimizes model accuracy at both FOGS sa
tellite altitude and ground level, although only a low ratio of FOGS t
o surface data, of order 1 :9, is required for high model accuracy at
the Earth's surface alone. Overall, the most accurate main-field model
produces spot values at the surface of the Earth with residual standa
rd deviations between 96 nT and 120 nT, depending on component. An est
imate of a typical ''true'', or absolute, model accuracy is also given
, by comparing computed values, from a simplified model, with measured
data from an independent near-surface data set. It is concluded that
the absolute model accuracy at the Earth's surface is of the order of
twice the accuracy of the model fit to its input data, again depending
on component.