I think this map is made for conquest rather than domination. It was interesting up to the point when it was obvious I was going to win (about 1820 ish), then I lost interest and was very very drunk indeed. I knew I wasn't going to beat the 1575 win (wow, by the way), with my first attempt at an Oasis map, but I think Noble is easy anyway, struggling a bit on Prince. The WOTM9 is looking like another win though, that's Prince too, with raging barbs (I built the Great Wall and popped an engineer for the Pyramids so I think it is in the bag).
EDIT: I lost interest as soon as I hit the population limit and was warned about the domination limit. I just built the best units I could every time it asked what I wanted to build and didn't micro manage at all, it was doing my head in. It was a bit scary seeing artillery around and hitting enter all the time, but I got the win, 1970 as you say. It could easily have been 1850-1870 if I could have been bothered.