Gem distribution?

[JonBrave]

Question #1:
Playing random maps, and considering only the placement of gem sites not any "manufacture", is the distribution of gem types purely average across all types, or do certain types occur more/less frequently than others? (I actually mean the total number of gems being produced, given that some sites produce > 1.) For example, it seems to me there are more Death than, say, Fire, but that might be to do with my searching.

Question #2:
A bit more "nebulous", but what if I asked about, say, the total number of each type spent in games? Of course I realise that depends on what nations are in play. But say I meant an average over a number of games with a variety of nations.