We want to use insulated panel (ie. EPS foam with a thin colourboard skin) to improve comfort to the deck. The deck is currently polycarbonate. This works well in Winter and Spring. In SUmmer, a minimal shade cloth (to 75% of area) improves comfort but it's too hot in the middle of SUmmer. Hence: add insulated panel.
The key here is reducing radiant heat by reducing the inner (i.e. bottom) surface temperature of the deck roof.
How thick a panel should I use?
Firstly we assume a few things:
Air is 28°C, humidty is 60%, upper surface is 60°C (in the sun). By working out heat transfer (convection on the inner surface and conduction through the panel), we can find the inner surface temperature and then predict the comfort levels. And the results are:

To reduce the inner surface temperature from 45°C (PMV 2.5 = hot!) with R0.5 (20mm) to, say 32°C (PMV = 1.5 = still pretty warm) we use R1.5 (50-75mm). Below R2.0 (75mm) gains are limited.
Therefore, we select 50mm (minimum) to 75mm (preferred) thickness.
