Tm. Smith et al., OPTIMAL AVERAGING OF SEASONAL SEA-SURFACE TEMPERATURES AND ASSOCIATEDCONFIDENCE-INTERVALS (1860-1989), Journal of climate, 7(6), 1994, pp. 949-964
Optimal averaging (OA) is used to compute the area-average seasonal se
a surface temperature (SST) for a variety of areas from 1860 to 1989.
The OA gives statistically improved averages and the objective assignm
ent of confidence intervals to these averages. The ability to assign c
onfidence intervals is the main advantage of this method. Confidence i
ntervals reflect how densely and uniformly an area is sampled during t
he averaging season. For the global average, the early part of the rec
ord (1860-1890) and the times of the two world wars have largest uncer
tainties. Analysis of OA-based uncertainty estimates shows that before
1930 sampling in the Southern Hemisphere was as good as it was in the
Northern Hemisphere. From about 1930 to 1950, uncertainties decreased
in both hemispheres, but the magnitude of the Northern Hemisphere unc
ertainties reduced more and remained smaller. After the early 1950s un
certainties were relatively constant in both hemispheres, indicating t
hat sampling was relatively consistent over the period. During the two
world wars, increased uncertainties reflected the sampling decreases
over all the oceans, with the biggest decreases south of 40-degrees-S.
The OA global SST anomalies are virtually identical to estimates of g
lobal SST anomalies computed using simpler methods, when the same data
corrections are applied. When data are plentiful over an area there i
s no clear advantage of the OA over simpler methods. The major advanta
ge of the OA over the simpler methods is the accompanying error estima
tes. The OA analysis suggests that SST anomalies were not significantl
y different from 0 from 1860 to 1900. This result is heavily influence
d by the choice of the data corrections applied before the 1950s. Glob
al anomalies are also near zero from 1940 until the mid-1970s. The OA
analysis suggests that negative anomalies dominated the period from th
e early 1900s through the 1930s although the uncertainties are quite l
arge during and immediately following World War I. Finally, the OA ana
lysis shows significant positive global SST anomalies beginning in the
late 1970s. The SST anomalies in the Indian Ocean and Southern Ocean
poleward of 20-degrees-S make the strongest contributions to the posit
ive glow anomalies observed since the late 1970s. In contrast to the m
ore recent period, the SST anomalies in the period from the early 1900
s through 1940 were dominated by the anomalies in the Northern Hemisph
ere poleward of 20-degrees-N.