A model for the subsidence history recorded in the Andrill-1B corehole was constructed by backstripping preliminary lithologic, chronologic and paleo-environmental data.  These results suggest a fairly typical passive margin sequence including both the rift phase (31-24 Ma) and drift phase (34 – 0 Ma).  Numerous small-scale events are superimposed, particularly in the Plio-Pleistocene, where the data is better constrained.  This preliminary result was produced using standard backstripping techniques and assumptions.  However, conditions at the Andrill-1B corehole were not consistant with standard backstripping techniques and approaches.  Most notably, compaction due to ice loading during grounding periods, sediment erosion by ice, and rebound subsequent to ice grounding are not taken into consideration.  We provide a qualitative discussion of the impact of these effects on our preliminary results and an outline of the quantitative methods that we plan to develop in order modify the traditional backstripping technique for application in this region.