I think those European borders for the Roman Empire are quite reasonable for an Empire that lasts into the 20th century.
The lack of land outside of Europe, much less so.
The lack of land outside of Europe, much less so.
Local farmers and landlords in Europe are capable of and will want to innovate if they want to improve their yield.It's not like they are getting free grain from Africa.Besides that,prior to the 20th century,the government's rarely involved in technological innovation,most are done privately by enterprising individuals.
What would Roman culture be like by 1900?
https://en.wikipedia.org/wiki/OppidumHonestly, if you're going all the way back to the start of Rome for the POD, anything is possible. In terms of Rome as we know it, the Eastern Roman Empire was always going to be better off than the Western Roman Empire. And history showed as much, since the West fell long before the East fell. The East had all the easily administered ancient cities whereas the West was Celts and Germans (and a perfectly lovely wooden town in Gaul is not the same as Athens). Therefore, the White territories around Greece would be more likely Roman.
https://en.wikipedia.org/wiki/Oppidum
Honestly, the stereotype of the barbarian Celto-Germanic Noble Savage needs to end. The Western Empire fell simply because Constantine focused the Roman economy on the eastern portion of the empire when he founded Constantinople and focused all his efforts in defending the eastern borders from Sassanids and other Asian invaders. The problem of course is how he ended up underestimating the Germanics. He thought that the Western portion was secured but Germanic invaders proved him wrong. That, and he probably didn't expect the Huns, whose invasion even before Attila around the 370s were the beginning of the end of the WRE as their virtual surprise attack allowed Germanics to invade better and progressively conquer WRE territories.