Among the various uncertainties present in climate modeling, the varia
bility of total solar irradiance is not one of the least. For lack of
any direct measure of the solar irradiance in the past, substitutes ar
e needed. However, the difficulties are twofold: (1) the reliability o
f the proxies and (2) the need for some physical mechanism relating th
ese proxies to the solar luminosity. On the basis of a better understa
nding of the solar machinery we can now propose a plausible scenario c
onnecting the exchanges of energy between the various reservoirs: magn
etic, thermal, gravitational, and kinetic. In the present paper we dis
cuss the available proxies and suggest a way to reconstruct total sola
r irradiance over the past four centuries. The response of the Laborat
oire de Meteorologie Dynamique atmospheric general circulation model t
o magnetoconvective solar forcing during the Maunder minimum is discus
sed. The simulated cooling appears to be compatible with temperature d
ata from the Little Ice Age; in addition, it is found that variations
of globally homogeneous external forcing parameters, like incoming sol
ar flux or greenhouse gas loading, yield climate responses with very s
imilar geographical patterns.