The Earth may be described as a global system consisting of the components
solid Earth, hydrosphere, atmosphere, and biosphere. This system evolves un
der the external influence of increasing solar luminosity. In spite of this
changing external forcing, the Earth's climate has been stabilized by nega
tive feedbacks against global freezing in the past (faint young Sun paradox
). The future long-term trend of further increasing solar luminosity will c
ause a further atmospheric CO, decrease. Atmospheric CO, will fall below th
e critical level for photosynthesis and the plant based biosphere will die
but. In the present paper we propose a modelling study of the evolution of
the carbon cycle from the Archaean to the planetary future. Our model is ba
sed on a paper published previously by Caldeira and Kasting [Caldeira, K.,
Kasting, J.F,, 1992. The life span of the biosphere revisited. Nature 360,
721-723]. The difference of the current study with respect to this work res
ides in the forcing function used for the silicate weathering rate. While C
aldeira and Kasting used a constant weathering rate over time, we calculate
the time evolution of this rate by assuming a balance between the weatheri
ng flux and the CO, release flux by volcanism and metamorphism. We use the
geodynamics theory to couple the two internal forcing functions continental
area (for weathering) and spreading (for CO, release flux) which were gene
rally considered as independent in previous models. This coupling introduce
s an additional feedback in the system. We find a warmer climate in the pas
t and a shortening of the life span of the biosphere up to some hundred mil
lion years. (C) 1999 Elsevier Science B.V. All rights reserved.