Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: LOD Mode
LOD_MODEParameter: Criteria
LOD_CRITERIAParameter: Min Dist
LOD_CAMERA_MINDISTParameter: Max Dist
LOD_CAMERA_MAXDISTParameter: Current Level
LOD_CURRENT_LEVELParameter: Level Count
LOD_LEVEL_COUNT_DYNParameter: LOD Bar
LOD_BARParameter: Progressive
LOD_PROGRESIVEParameter: Always Show Unassigned Object
LOD_SHOW_UNASSIGNEDParameter: Use LOD 0 for Rendering
LOD_VIEWPORT_ONLYParameter: Render LOD Increment
LOD_RENDER_INCREMENTParameter: Use Camera Clip
LOD_CAMERA_CLIPParameter: Cone Safe Distance
LOD_CAMERA_CLIP_SAFEDISTANCEParameter: POV Safe Distance
LOD_CAMERA_CLIP_SAFESPHEREParameter: Use Camera Clip in Render
LOD_CAMERA_CLIP_AFFECTRENDERParameter: Polygonize Objects
LOD_POLYGONIZE