What @admaiora said is technically true - this could be done with iLogic. However, I question the reason for wanting to do it that way in the first place.
Levels of Detail are primarily a memory management tool for working with very large assemblies where computer performance becomes a problem. You use them to free up memory by unloading components that aren't relevant to your current task. For example, if you are designing a car, and currently working on the exhaust system, you probably don't care about the detailed models of the radio knobs or the cigarette lighter. So you create an LOD that suppresses those irrelevant components and reserves the memory for the type of work you are currently doing.
LOD's don't naturally interact with constraints or parameters in any way. While iLogic could be used to create a type of connection, it sounds to me like you really need to be using Positional Representations instead of LOD's. They are intended to suppress or override the offset values of constraints, and would thus be able to do what you're attempting without needed any sort of iLogic programming.
