PROCESS, FORCING, AND SIGNAL ANALYSIS OF GLOBAL MEAN
TEMPERATURE VARIATIONS BY MEANS OF A THREE-BOX ENERGY
BALANCE MODEL
JÜRGEN GRIESER and CHRISTIAN-D. SCHÖNWIESE
J. W. Goethe University, Department of Meteorology and Geophysics, P.O.Box 11 19 32,
D-60054 Frankfurt a. M., Germany
Abstract. An analytic solution of an energy balance model (EBM) is presented which can be used
as a recursive filter for time series analysis. It is shown that the EBM can reproduce the solution
of a coupled atmosphere-ocean general circulation model (AOGCM) experiment. Contrary to the
AOGCM, the EBM easily allows for variations in climate sensitivity to satisfy the full range of
uncertainty concerned with this parameter. The recursive filter is applied to two natural and two
anthropogenic forcing mechanisms which are expressed in terms of heating rate anomaly time series:
volcanism, solar activity, greenhouse gases (GHG), and anthropogenic tropospheric aerosols. Thus,
we obtain modelled global mean temperature variations as a response to the different forcings and
with respect to the uncertainty in the forcing approximations and climate sensitivity. In addition, it
is shown that the observed (ENSO-corrected) global mean temperature time series within the period
from 1866 to 1997 can be explained by the external forcings which have been considered and an
additional white noise forcing. In this way we are able to separate different signals and compare
them. As a result, global anthropogenic climate change due to GHG forcing can be detected at a high
level of significance without considering spatial patterns of climate change but including natural
forcing, which is usually not done. Furthermore, it is shown that solar forcing alone does not lead to
significant climate change, whereas solar and volcanic forcing together lead to a significant natural
climate change signal. Anthropogenic climate change due to GHG forcing may partly be masked by
anthropogenic aerosol cooling.
1. Introduction
One of the most important questions of modern climatology is whether the anthro-
pogenic enhanced ‘greenhouse effect’, as assessed by climate models (especially
coupled atmosphere-ocean general circulation models, AOGCMs), is real or not
(Houghton et al., 1996). If it is real, mankind is faced with a global warming of up
to several degrees Celsius within the next century. However, for several reasons,
both anthropogenic and natural, the global climate is highly variable in time. To
answer the question of whether the observed global warming trend of about 0.6 K
since 1866 is mainly of natural or of anthropogenic origin, a causal explanation
of global mean temperature variations as complete as possible is necessary. Up
to now the task of describing global climate using a real multiforced model has
not been solved by AOGCM’s because of the fact that most of the forcing mech-
anisms (especially volcanic forcing) are not known to the temporal and spatial
Climatic Change 48: 617–646, 2001.
© 2001 Kluwer Academic Publishers. Printed in the Netherlands.