Optimal signal detection theory has been applied in a search through 1
00 yr of surface temperature data for the climate response to four spe
cific radiative forcings. The data used comes from 36 boxes on the ear
th and was restricted to the frequency band 0.06-0.13 cycles yr(-1) (1
6.67-7.69 yr) in the analysis. Estimates were sought of the strengths
of the climate response to solar variability, volcanic aerosols, green
house gases, and anthropogenic aerosols. The optimal Biter was constru
cted with a signal waveform computed From a two-dimensional energy bal
ance model (EBM). The optimal weights were computed from a 10000-yr co
ntrol run of a noise-forced EBM and from 1000-yr control runs from cou
pled ocean-atmosphere models at Geophysical Fluid Dynamics Laboratory
(GFDL) and Max-Planck Institute; the authors also used a 1000-yr run u
sing the GFDL mixed layer model. Results are reasonably consistent acr
oss these four separate model formulations. It was found that the comp
onent of the volcanic response perpendicular to the other signals was
very robust and highly significant. Similarly, the component of the gr
eenhouse gas response perpendicular to the others was very robust and
highly significant. When the sum of all four climate forcings was used
, the climate response was more than three standard deviations above t
he noise level. These findings are considered to be powerful evidence
of anthropogenically induced climate change.