The conventional multi-variate, multi-fingerprint theory of climate-change
detection and attribution, expressed in terms of existing frequency distrib
utions, is reviewed and generalized to a Bayesian approach based on subject
ive probabilities. Bayesian statistics enable a quantitative determination
of the impact of climate-change detection tests on prior subjective assessm
ents of the probability of an externally forced climate change. The Bayesia
n method also provides a potentially powerful tool for enhancing statistica
l detection and attribution tests by combining a number of different climat
e-change indicators that are not amenable to standard signal-to-noise analy
ses because of inadequate information on the associated natural-variability
statistics. The relation between the conventional and Bayesian approach is
illustrated by examples taken from recent conventional analyses of climate
-change detection and attribution for three cases of climate-change forcing
by increasing greenhouse-gas concentrations, increasing greenhouse-gas and
aerosol concentrations, and variations, in solar insolation. The enhanceme
nt of detection and attribution levels through a joint Bayesian anal:lsis o
f a number of different climate-change indices is demonstrated in a further
example. However, this advantage of the Bayesian approach can be achieved
only within the framework of a subjective rather than objective analysis. T
he conventional and Bayesian approach both exhibit specific advantages and
shortcomings, so that a parallel application of both methods is probably th
e most promising detection and attribution strategy.