The published research on projecting Milankovitch cycles indicates that even in the absence of any human influence, the Earth would not move into another ice age for many thousands of years. The interglacials, or periods of mild climate between ice ages, are of varying lengths, and the current interglacial, the Holocene, would under normal circumstances be expected to be a long one; comparable to the Stage 11 interglacial about 400 thousand years ago, due to a current low in the eccentricity of Earth's orbit. This would indicate the current interglacial would continue, in the absence of human influences, for as much as 50 thousand years more.
References:
- A. Berger and M. F. Loutre (2002) http://www.sciencemag.org/cgi/content/summary/297/5585/1287, in Science 23 August 2002: Vol. 297. no. 5585, pp. 1287 - 1288, doi: 10.1126/science.1076120
This is based on the Milankovitch cycles and the orbital drivers for the ice ages. The primary cause of the long interglacial in the present is a low eccentricity of the orbit, which is continuing to reduce towards zero about 25 thousand years from now and a circular orbit. This cycle will reverse itself in time, and eccentricity of the orbit will increase one more.
These cycles do not give enough direct forcing to drive ice ages; to move in and out of the ice ages it is necessary to include the effects of positive feedback such as temperature driven carbon dioxide levels and albedo from ice cover.
An additional complicating factor, of course, is the human influence, which has shifted climate forcings well away from normal conditions of the Quaternary period and the cycles of glacials.
The large increase in Earth's greenhouse effect that has occurred over the last century has brought the atmosphere rapidly to a state which has not been seen for millions years; well before the Quaternary and the cycles of glacials. There is no credible prospect of new ice ages under our immediate current conditions. On the other hand if industrial emissions of greenhouse gases ceases, then in time the atmosphere will gradually return towards a more "normal" composition.
The long term impact basically depends on how much carbon is added to the atmosphere. So far we have added about 330 Gigatons. If nothing more is added, then the Earth's atmosphere could be expected to recover within the time span of the next expected glacial, which is still well into the future in any case, by the estimates cited above.
If we continue adding more greenhouse gases, then there is a possibility of longer term changes beyond this time period.
References:
- Archer, D. and Ganopolski, A. (2005) A movable trigger: Fossil fuel CO2 and the onset of the next glaciation, in Geochemisty, Geophysics, Geosystems, Volume 6, Number 5, 5 May 2005, Q05003, doi:10.1029/2004GC000891
Human society is not used to thinking in scales of geological time. It's not clear whether human activities will result in a short term change in climate conditions for a a couple of centuries, or bring about a more lasting change for a some millenia, or even a completely new climate state. The differences between these possibilities are intriguing, but somewhat academic for economic or other "pragmatic" consequences to our current society.
The bottom line is that there does not appear to be any reason to think a new ice is immanent, either with or without the changes seen over the last century.
Cheers -- sylas