Real Time Global Illumination and LOD
There is a problem with the Level of Detail (LOD) system Unity uses and real time Global Illumination. When you move your camera around objects will change their appearance based on LOD. But what you may have noticed is the lighting changes dramatically with the LOD changes. This is because LOD doesn't work with Global Illumination, unless you also use Light Probes.
All you have to do is use light probes and the LOD will use the light probe data to make the lighting look right when the objects are changing out dependent on the camera distance.
You also must use a Light Probe Proxy Volume component.
Some Links For Further Research
This link will take you to the Unity forum that shows pictures of the same problem with LOD lighting. The fix is also discussed here by a Unity representative.
This is a link to the Unity manual that also talks about the fix for LOD and light probes and global illumination.
Another component you need in your scene to make everything look nice. This component is added to the object itself to get better light probe data.
When I first encountered this problem, I thought it was because static objects couldn't have any Level of Detail (LOD). But that isn't the problem. I have to use light probes and the lighting looks correct. Easy fix.