Just for fun (and cuz I wanted to know), last night (Wednesday) I put the dual probe thermometer from the smoker in with one of the small trees covered with frost cloth that was going to have the C9 light string turned on. I have a remote monitor so I could check it with out going outside. I put one probe near the base of the trunk (where the lights were) and the other up near the top.
Before I turned on the light string at about 10PM last night, the actual outside temp was 39F, both probes in the covered plant were reading 37F. Turned the lights on and a little over 1 hour the probes were both reading 43F. Checked the probe temps a couple times during the night and they held steady at 43F (don't know what actual outside temps were at those times). But at 5AM Thursday morning, outside temp was 35F, both probes still at 43F.
It was very calm with almost no wind during the night, the plant was in a pot and I cinched the frost cloth around the pot with a strap, so it was buttoned up pretty good as far as cold air getting into it.
DM