Never fear, many tried and true techniques exist to install erosion and sediment control on frozen soils…
Despite the winter season, erosion and sediment control practices need to remain functional on construction sites.
Perimeter control options such as rock logs, compost logs, etc., do not require trenching and should not need modifications. If trenching silt fence becomes impractical, consider placing filter rock or rock logs continuously along a flap of silt fence.
Temporary erosion protection or seeding can often be done on snow and should be installed during or just before a snow; however, there are some exceptions. Blankets should only be applied to bare soil and you may need to use a different anchoring system. Hydro mulches should only be installed on bare ground, and some may not work if applied below freezing temperatures. You will need to use a tackifier in lew of discing for some mulches (temps must be > 20°F).
As at other times of the year, maintenance is key, and nonfunctioning practices will need to be repaired or replaced. Replacement will often be required after the spring thaw as well.
These tips and many more are found in the MnDOT 2013 Erosion and Sediment Control Pocketbook Guide which can be purchased through the University of Minnesota Erosion and Stormwater Management Certification Program.