Treeman wrote: "Is there any physics you can tell us about the sizzling heat? Any differences in temps with altitude? Is it hotter above on a still summer day due to inversion?"
Hmmm. A winter nighttime temperature inversion is pretty simple, but there are some other things going on in the summer.
First altitude: Other things being equal, it does get cooler with higher altitude, but given the height of a typical tree the effect is pretty small. When Steve Sillett climbs a 100 meter (about 330 feet) redwood, the temperature change from the bottom of the tree to the top due to the lapse rate is less than 2 degrees F (the rule of thumb is 1 degree C for every 100 meters, this is what meteorologists call the adiabatic lapse rate).
Summer daytime temperature inversions: From what I understand, the sort of inversions that you get in the daytime in the summer are a larger scale phenomenon having to do with air mass collisions and temperature profiles over a few thousand feet. They do a good job of, say, locking in the air pollution over the city of Houston (and making the air a lovely shade of brown), but a tree isn't tall enough to poke very far into them. On the distance scale of a tree, the air should be hotter close to the ground during the day -- but only where sunlight is getting to the ground to heat it up. In a forest, not a lot of sun gets to the ground (1-5% or thereabouts).
Summer nighttime inversions: The same physics that applies to winter nighttime inversions also works in the summer, with a caveat. The ground cools fast on a clear night, the air in contact with the ground also cools, and that cool air just sits there unless the wind blows it away. This is why clear nights are often foggy by the morning -- the air near the ground cools down below the dewpoint. The caveat is that the trees have leaves in the summer, and this blocks the ground's "view" of the sky. As far as radiating infrared, a canopy of leaves is a good bit warmer than the sky on a clear night, so the ground won't cool off so much in a forest.
None of this gets at the bigger issue with how hot or cold it
feels. That has to do with energy exchange between the climber and her/his surroundings, and the air temperature differences are often a pretty small part of that. The biggest differences between the top and the bottom of the tree are sun and wind. The sun warms you up, and the wind cools you down. Tall trees often begin to stick up above the boundary layer (that layer close to the ground where the wind is slower due to friction with the ground), so it's almost always breezier up there. The wind cools you down less if it's hot and humid. Whether the top of the tree feels hotter or cooler in the daytime during the summer probably has a lot more to do with the arm-wrestling between the effect of sun and wind than with air temperature changes.
Sorry about all that. Asking a science prof for an explanation is like waving candy in front of a baby...