There currently exists no consensus as to the cause of the ice ages of the
late Pleistocene. Many of the competing hypotheses have been formulated int
o mathematical models which enables a rigorous comparison to be made. Spect
ral analysis fails to distinguish rival models. Using regression analysis,
we examine the relative performance of several models, each representative
of a different type of modeling approach, as explanations of both the globa
l ice volume and also the time rate of change of the global ice volume. We
find there is no objective evidence in the record in favor of any particula
r model. The respective merits of the different theories must therefore be
judged on physical grounds.