Measuring the rate of cultural and social change

Below I discussed the issue of whether the Roman Empire’s decline & fall was consequential. These sorts of discussions are loaded with presuppositions and impressions. Any one metric is not necessarily representative of other variables, and one must ask whether metrics are relevant in the first case. I think one important question to ask far upstream is this: does the rate of cultural change vary? In other words, does the first derivative of a cultural variable as a function of time deviate from zero? I think it does. For example, it seems that the period between 1950-1965 witnessed less change on average and in totality in the Zeitgeist than that between 1965-1970. In other words, someone in 1965 would recognize the general outlines of the society as less alien 15 years before than 5 years into the future.

With that assumption under the belt, the question we might ask about the Roman Empire is this: was there a discontinuity in the change so that one could say that the barbarian invasions were very significant? Or did the classical world of late antiquity slowly melt into the early medieval period. Most everyone can agree that production, material and intellectual, tended to decrease. But was the 6th century, for example, a period of particularly sharp decline in Italy? Traditional narrative history has a story to tell about the disruptive impact of the wars between the Goths and the East Roman Empire; that in the process of reconquering Italy Justinian destroyed it.

But enough. I have a copy of Contours of the World Economy 1-2030 AD, which has a handy chapter on the economy of the Roman Empire. Below the fold I’ve reformatted some of the population data to put it out on the web.

Population in 000s
200 BC 1 AD 200 AD 400 AD 600 AD
Italy 5000 7000 7000 5000 3500
Iberia 4500 5000 5500 5000 4000
Roman Gaul 4400 5750 7500 5750 4500
Greece 2500 2000 2000 1500 800
Danubian lands 2550 3050 3550 3450 2600
Roman Europe 18950 22800 25550 20700 15400
Asia Minor 5000 6000 7000 6000 5000
Greater Syria 2600 3025 2750 2200 1900
Cyprus 200 200 200 200 200
Roman Asia 7800 9250 9950 8400 7100
Egypt 4000 4000 5000 4000 3000
Cyrenaica 300 400 500 300 200
Maghreb 2200 3800 4000 3600 3600
Roman Africa 6500 8200 9500 7900 6800
Total 33250 40250 45000 37000 29300
200 BC – 1 AD 1 AD – 200 AD 200 AD – 400 AD 400 AD – 600 AD
Italy 2000 0 -2000 -1500
I
beria
500 500 -500 -1000
Roman Gaul 1350 1750 -1750 -1250
Greece -500 0 -500 -700
Danubian lands 500 500 -100 -850
Roman Europe 3850 2750 -4850 -5300
Asia Minor 1000 1000 -1000 -1000
Greater Syria 425 -275 -550 -300
Cyprus 0 0 0 0
Roman Asia 1450 700 -1550 -1300
Egypt 0 1000 -1000 -1000
Cyrenaica 100 100 -200 -100
Maghreb 1600 200 -400 0
Roman Africa 1700 1300 -1600 -1100
Total 7000 4750 -8000 -7700
200 BC – 1 AD 1 AD – 200 AD 200 AD – 400 AD 400 AD – 600 AD
Italy 40.00% 0.00% -28.57% -30.00%
Iberia 11.11% 10.00% -9.09% -20.00%
Roman Gaul 30.68% 30.43% -23.33% -21.74%
Greece -20.00% 0.00% -25.00% -46.67%
Danubian lands 19.61% 16.39% -2.82% -24.64%
Roman Europe 20.32% 12.06% -18.98% -25.60%
Asia Minor 20.00% 16.67% -14.29% -16.67%
Greater Syria 16.35% -9.09% -20.00% -13.64%
Cyprus 0.00% 0.00% 0.00% 0.00%
Roman Asia 18.59% 7.57% -15.58% -15.48%
Egypt 0.00% 25.00% -20.00% -25.00%
Cyrenaica 33.33% 25.00% -40.00% -33.33%
Maghreb 72.73% 5.26% -10.00% 0.00%
Roman Africa 26.15% 15.85% -16.84% -13.92%
Total 21.05% 11.80% -17.78% -20.81%

A few thoughts? First, look at Greece. The Roman Empire wasn’t so hot for it, but remember that prior to the conquest of this region it was a major center of Hellenistic civilization under the Macedonians. Italy’s economic boom was in large part based on plunder, and Greece’s no longer (in fact, Greece was one of the major sources of high value slaves for Italy). Also, the data points hide a lot in between. During the mid-200s the Roman Empire nearly collapsed, and by 300 it had been resurrected by a series of reforms under the emperor Diocletian. So the difference between the year 200 and 400 likely masks that there might have been a minimum point sometime late in the 200s. Finally, you can see some regional dynamics. The recovery of the late 3rd century was under the aegis of emperors derived from the Danubian provinces, so the relative robustness between 200-400 can be attributed to the likelihood that the military and cultural outlays enabled by increased taxation benefited these regions via redistribution.

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