Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: LOD Mode
LOD_MODE
Parameter: Criteria
LOD_CRITERIA
Parameter: Min Dist
LOD_CAMERA_MINDIST
Parameter: Max Dist
LOD_CAMERA_MAXDIST
Parameter: Current Level
LOD_CURRENT_LEVEL
Parameter: Level Count
LOD_LEVEL_COUNT_DYN
Parameter: LOD Bar
LOD_BAR
Parameter: Progressive
LOD_PROGRESIVE
Parameter: Always Show Unassigned Object
LOD_SHOW_UNASSIGNED
Parameter: Use LOD 0 for Rendering
LOD_VIEWPORT_ONLY
Parameter: Render LOD Increment
LOD_RENDER_INCREMENT
Parameter: Use Camera Clip
LOD_CAMERA_CLIP
Parameter: Cone Safe Distance
LOD_CAMERA_CLIP_SAFEDISTANCE
Parameter: POV Safe Distance
LOD_CAMERA_CLIP_SAFESPHERE
Parameter: Use Camera Clip in Render
LOD_CAMERA_CLIP_AFFECTRENDER
Parameter: Polygonize Objects
LOD_POLYGONIZE