Lateral pressure due to backfill and higher compaction effort is the governing parameter of design to arrive the wall dimensions of culvert in rod under bridge. In most cases, designers adopt higher amount of lateral earth pressure coefficient.
What do you mean by performance?. Several parameters affect performance of the Box Culvert such as the loading conditions (lateral earth pressure of backfill, cyclic loadings of vehicles, self weight, soil-structure interaction). Soil support parameters (Bearing limit, initial settlement, time dependent settlement, level of water table, soil compressibility, shear parameters, etc.)