Power Graph Explained
I just completed an experiment to determine what the Power Graph actually measures. Only two factors are included in the Power Graph: tech levels obtained and net population. By net population, I mean total population without reference to population score, i.e., without reference to the number of happy citizens, the number of content citizens, and the number of unhappy citizens. Note that tech levels count as 1/2 of a citizen. The Power Graph does not reflect Barbarians, does not reflect Wonders Built, does not reflect years of Peace, does not reflect the Space Ship. These have absolutely no effect on a Power Graph, only on the Civilization Score and the Civilization Rating (i.e., final %).
The power graph also records the relative strengths of civilizations every four turns, at least until 1850. The Power Graph maxes out when one achieves around 200 total population/tech levels. It spikes downwards when one achieves around 4000 total population/tech levels; it spikes back upwards when one achieves around 8000 total population/tech levels.
Tiago's Power Graph suggests that he started the game with All Technologies Given at 4000 B.C.; his power graph starts the game at exactly the point where one has zero population but all the technologies. His initial population growth suggests that he had a total population of 4 in 3850 B.C., 20 in 3650 B.C., and 72 in 3450 B.C. His graph maxes out in 3250 B.C., meaning that he had at least a population of 150 plus c. 90+ tech levels. His graph spikes downward in 2850, meaning he has at least 4000 population/tech levels; his graphs spikes back upwards in 2450 B.C., meaning he has at least 8000 population/tech levels!
An examination of his saved game is also of interest. Let's face it: the map is a "partisan's playground." The claim is made that the Barbarians are raging, but check out his casualties for the game (F2). Are we to believe that he did not lose a single engineer to a partisan uprising while terraforming this world? And using cheat mode, you should examine the unit numbers for all his Mech Infantry; none are lower than 260, which means that the vast majority of engineers required for all this terraforming must have been numbered higher than 250. This seems unlikely.
But I shall let you all draw your own conclusions as to how exactly he achieved these scores.