I am also interested in this question. If HIF1a is stabilized at a certain condition, several things could have happened, HIF1a expression increased, the oxidation of proline increased or the proteasome activity is blocked...
Under normal oxygen conditions, nonmetastatic cells consume less glucose and express low HIF-1α, whereas metastatic cells constitutively express high glycolysis and HIF-1α, suggesting that dysregulation of HIF-1α may induce the Warburg effect.
The recent discovery and study of HIF-1α have implicated a possible molecular mechanism for the Warburg effect in malignant tumors. HIF-1α plays an important role in cellular responses to hypoxia and other stresses. HIF-1α combines with HIF-1β to form a heterodimeric transcription factor that regulates the expression of glycolytic and angiogenic proteins. HIF-1α is constitutively expressed and destabilized in the presence of O2 by proline hydroxylation and is targeted for proteosomal degradation by the von Hippel-Lindau (vH-L) ubiquitin ligase. When accumulated (e.g., under hypoxia), the HIF-1 complex binds hypoxia response elements (HREs; canonically CCATG) in the promoter region of target genes.
To know the relationship between HIF-1α stabilization in oxygenated conditions and the Warburg effect; by comparing glucose transport, lactate production, HIF-1α protein, and HRE-induced transcript levels in metastatic (MDA-mb-435) and nonmetastatic (MCF-7) breast cancer lines. Under a 20% oxygen atmosphere (normoxia), MDA-mb-435 cells have elevated glycolysis, HIF-1α, and HRE transcripts, whereas these parameters are measurably lower in MCF-7 cells. Hypoxia (≤2% oxygen) induced no change in the glycolytic phenotype in MDA-mb-435 cells, whereas HIF-1α, HRE transcripts, and glycolysis were profoundly induced in MCF-7 cells. But due to controversial findings have identified MDA-mb-435 cells with melanoma cells due to the expression of specific melanocyte genes and lack of expression of breast cell line genes in MDA-mb-435 sublines. To account for this possible discrepancy, renal cell carcinoma (RCC4) used, where transfection of the vH-L gene into a vH-L-null line directly modulated HIF-1α levels. Parental RCC4 cells functioned similarly to the MDA-mb-435 and MDA-mb-231 lines by expressing high levels of HIF-1α and exhibiting high glycolysis under normoxic conditions. There was a minimal effect when these cells were switched to hypoxia. Restoration of vH-L activity led to normalization of the HIF-1α response. Under normoxia, RCC4/vH-L cells demonstrated low rates of glycolysis, which subsequently increased in hypoxia.
You may find details in this article: "Hypoxia-Inducible Factor-1α and the Glycolytic Phenotype in Tumors" http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1501147/