In the previous introduction and article on cycles I explained that we need some kind of time delay or timing element to explain the ice age cycles. This is because one of the key problems with explaining the ice-ages is explaining why they tend to occur every 110,000 years (or less ).
This article looks at one potential delay mechanism that could set the time between Ice-ages. In doing so, this article introduces a little discussed phenomenon which is the effect of long-term change of temperature on the earth’s crust. It then introduces a mechanism I called the “Caterpillar effect” which must play a significant part in tectonic plate movement.
See also:
- Introduction
- Criteria for Cycles
The Theory

Fig 3.1 Redrawn from Anderson (1998) INSTAARNear-Surface Thermal Profiles in Alpine Bedrock: Implications for the Frost Weathering of Rock
As the surface air of the earth changes in temperature, that change causes a heat flux into or out of the ground causing the earth to tend to cool or warm. The result is as shown to the right which is the daily change in temperature near the surface for a +/- 15C swing. The earth’s surface warms and cools with the changing air temperature. Layers nearest the air change with the change in air temperature, but the affect become reduces with depth as the rock is more insulated from changes at the surface.
Thermal Profile of Soil
Assuming that conduction is the heat transfer mechanism within the bedrock, the relevant thermal problem can be approximated as a 1-d conduction problem with a sinusoidal variation of temperature at the top boundary of a half space (Carslaw and Jaeger, 1959; see also Gold and Lachenbruch, 1973 for applications to permafrost problems). The thermal dependence on time (t) and depth (z) is expected to be
T(z, t) = Tave(z) + [Taexp(-z/z*) cos(ωt – z/z*)]
where T is the mean temperature profile (geotherm), and Ta is the (half) amplitude of the temperature variation at the surface, z = 0. The length scale, z*, for the decay of the amplitude of the signal is dictated by the thermal diffusivity of the material, κ, and the period of the oscillation of the temperature at the boundary, P (= 2π/ω, where ω is the angular frequency): Continue reading →