Animal bones
Here is the distribution of mammal bones dug in the provinces of the Roman Empire:

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Mamal bones are an indicator of economic development because they indicate the size of the cattle/pig/sheep livestock of the Roman Empire, and thus the overall levels of meat consumption. Rich people consume more meat and less grain than poor people, thus this is an indicator of the likely total number of people that consumed meat. Note that in Classical Greece meat consumption was done on a smaller scale, but with the conquest of northern Europe and massive grazing lands, the Romans now could enjoy large quantities of meat.
Note that like shipwrecks, most archaeological work done in the provinces of the Roman Empire refers to the Western European provinces and thus, to Gaul, Iberia and Britain, areas that the Romans conquered from "barbarian" tribes and thus areas that weren't developed before conquest. Explaining why animal bones increased only later, in the 1st century BC onwards.
Population density
Extensive field survey research is enabling us to have a good idea of the overall trajectory of population density. Here is the result of field surveys conducted on the Albegna valley in central Italy, a core region of the mediterranean:

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Population densities reached their peak in the 50 BC to 100 AD period, in other sites the same pattern emerges:

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Population density peaks just where the shipwrecks, lead, copper data peaks as well. Just as we expect from the trends we have been seeing over the last 20 graphs.
Note that estimated population levels from field surveys are ultimately the product of things such as pottery fragments and (in case of the urban population in the Albegna valley) walled area, but these factors are perhaps also a product of the size of physical economic activity (pottery production and ruins) rather than only of population levels. They show that the Italian countryside enjoyed it's peak levels of prosperity during the period from ca 50 BC to the early 2d century. In Greece, the estimated population of sites peaked earlier in the 480 to 200 BC (which also implies that physical economic activity peaked in this period in the Aegean):
Koressos on Kea
900 BC to 700 BC - 100
480 BC to 323 BC - 1,020-1,455 (increase of 10.2x - 14.55x)
Southern Argolid
750 - 650 BC - 1,100
480 - 200 BC - 10,855 (increase of 9.87x)
Source: (12)
Reflecting that the mediterranean economy and population didn't follow the exact same trajectory in all regions. While aggregate levels of economic activity peaked in the 100 BC - 150 AD period, in some regions economic activity peaked earlier (particularly the Aegean and probably the rest of the Eastern Mediterranean enjoyed peak levels of economic activity in the late Hellenistic period), while in other regions economic activity may have peaked even later, such as in Roman Britain, whose levels of economic activity peaked in the early 3rd century, if we can trust the quality of those estimates of iron production and it's correlation with overall activity.
The Classical World at it's Zenith
At it's zenith in the late 1nd millennium BC and the early 1st millennium AD, the Mediterranean economy became so prosperous that demand for luxury goods increased to the extent of creating a general flow of goods from the most distant exotic places in the world, such as India, China and the Arabias, into the Mediterranean basin. Also, the spread of Roman mines into northern Europe, such as the Dacian goldmines, reflected the same increasing demands of the Mediterranean basin. The silk road was opened in the late 1st millennium BC due to the growing consumer market of the Mediterranean world, and as result, the Mediterranean economy had an indirect effect over perhaps 80% of the world's population.
The Mediterranean economy was integrated to the extent that prices of grain reflected it's distance to the city of Rome:

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And a single workshop in Gaul produced pottery that was distributed over thousands of kilometers across the empires:
The high level of productivity in the mediterranean economy was also reflected into the patterns of consumption. Pompeii was a typical Italian town of the 1st century mediterranean world, however it's standards of consumption were much higher than those of other ancient and medieval cities.
A typical 1st century house. Houses in 1st century Roman Italy were huge and very nicely decoared, they had on average 7 to 8 rooms at the first floor and 250-260 square meters (18):
From the Cambridge Economic history of the Greco-Roman world:

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According to the historian, W. Jongman:
Quote:
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Originally Posted by Jongman With the growth of it's Empire, with the growth of it's cities and with the growth of a government and a system of transportation based on those cities, Rome had created perhaps the most prosperous and successful pre-industrial economy in history. The age of Antoninus Pius was indeed probably the best age to live in pre-industrial history. |
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Though I cannot fully agree with this assertion. While in aggregate terms it appears that the Early Roman Empire was the most prosperous period in ancient and medieval history, in terms of living standards for the general population Classical Greece appears to have been significantly more prosperous than the Roman Empire in the average, though the most developed regions of the Roman Empire were perhaps on the same level as the Greek cities 400 years earlier. Also, the 17th and 18th century Netherlands were probably wealthier in average than the Roman Empire, though I wouldn't say it was definitely wealthier than the most advanced regions in the empire. In terms of wages we have the following evidence:
Place ------ Daily wages in kg of wheat
Athens 350 BC -------------- 11.5
Preatorian 1st century ------- 10.1 **
Antwerp 1775 AD ------------ 9.6
Pompeii 79 AD ---------------- 8.7 **
Legionary 1st century -------- 7.9 **
England 1775 AD ------------- 7.0
Auxiliary 1st century ---------- 6.6 **
Paris 1775 AD ---------------- 5.9
Roman Egypt 2nd century ----- 5.0
Madrid 1775 AD -------------- 4.8
Florence 1775 AD ------------ 3.3
India 1775 AD ---------------- 2.3 *
Japan 1775 AD --------------- 2.3 *
Dacia 2nd century ------------ 2.2 **
* Converted from rice in basis of calorific equivalence, but note that wheat has more protein than rice per calorie, so this measure actually overstates Japanese and Indian wages.
** Wages in Pompei were 1 denarii a day, while wheat prices in the provinces varied from 3 to 2 sestertii per modii, from 2 sestertii in Egypt and Palestine, 2.5 sestertii in Syria and 3 sestertii in the other provinces, while wheat prices in the wheat sinkhole of Rome were 6 to 8 sestertii per modii. For Pompeii and Legionary, Auxiliary, Dacian wages I assumed 3 sestertii per modii, for Preatorian wages, I assumed 7 sestertii per modii, for Egypt I assumed 2 sestertii per modii. For converting soldiers annual stipends into daily wages I assumed 250 working days per year, a standard number of working days for Early Modern Europe, while (17) claims that in ancient Greece it appears that 200 to 250 days was the standard number of working days per year.
Sources:
Roman wages: (3)
For the 18th century wages: (15), (16) for Japan
Notice, Roman wheat wages were similar to the late 18th century world, and varied by a large measure, from 10.1 kg per day to the soldiers in the Preatorian guard, a force of about 10 - 15 thousand men in the city of Rome, which had annual salaries 3 times the salaries of the standard Legionaries, a function of the much higher cost of living in Rome compared to the rest of the empire: Grain prices in Rome were 6 to 8 sestertii per modii, while they were usually 2 to 3 sestertii outside Rome.
The Decline of the Classical Economy
By the early 1st millennium AD the civilization of the ancients reached it's peak levels of prosperity (in aggregate). Over the following centuries the long run trend was only of decline, while there were some shorter periods of prosperity in some regions, the overall trend was rather clear, as we have seem in the case of lead, copper, animal bones, British iron production and shipwrecks: a large decline followed. I also have the following pieces of data:

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This graph refers to the heights of individuals, hence to the biological standards of living, a reflection of the levels of nutrition achieved by Roman Italian population, they show a peak in the late 1st century, just when all other data peak as well, and later a not very clear cut, but still visible, trend of decline in heights. Also reflected in the reduced consumption of meat and milk, the products of the cattle livestock, which declined in size as we have already seem.
The size not of people but also of the animals such as cattle also declined with the decline of the mediterranean economy, reflecting the decline of the cattle raising industry: from a professional industry that produce cattle for large scale consumption of food to a local activity performed in a small scale in the early medieval villages.

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The decline is also apparent in the raw number of archaeological objects excavated from Western Germany, an area that the Romans conquered in the 1st century BC and which reached peak prosperity in the late 1st century AD, like the rest of the empire:

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According to the MIT economist P. Temin:
Quote:
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Originally Posted by Temin Even though the Roman economy differed from early modern European economies in many respects, it appears more similar to our economy than the Medieval economy. Large-scale production and movements of resources were dominated by markets, although redistribution and reciprocity were present as well. This mixture of modes is present even today; the important characteristic of the Roman economy was its market orientation. This mode of organization promoted trade and the exploitation of comparative advantage, helped by political stability, personal security, and widespread education. All this undoubtedly contributed to the prosperity of the early Roman Empire, at least for the upper classes, which was not to be equaled in the West for almost two millennia thereafter.
Inflation accelerated in the third century CE, visible to us through debased coinage and occasional price quotations (Harl, 1996; Rathbone, 1997). Prices may have doubled in the second century, possibly in a discrete jump after the Antonine Plague in the late second century; the rate of inflation after 200 CE appears to have been far higher. Banks were the canaries in the Roman market economy, and they disappeared by the start of the third century. Argentarii had little reason to puzzle out the difference between real and nominal interest rates before 200; we infer that they were unable to do so fast enough after then to survive. Diocletian's Price Edict (Lewis and Reinhold, 1990, Vol. 2, pp. 422-26), one of several attempts to stem the inflation, reveals that many markets still were operating around 300 CE, but taxes in kind multiplied, and command economies grew. By the time of the Dark Ages, there were still markets, but no longer a market economy (McCormick, 2001). Roman agricultural technology and city planning were abandoned, education decreased, and long-distance trade in bulk commodities vanished. Roman law was forgotten in Europe for close to a millennium, and the Pax Romana ended with the early Roman Empire. |
The declining institutional quality mean't that life and property became less well protected, which mean't an increase in violence and thus of abnormal bone fractures among the inhabitants of the western world:
The picture of barbarians increasingly raiding and looting towns and villages, killing people randomly, describes pretty well what was increasingly happening in the western world from it's ancient zenith, around 100 AD, until the 8th century AD, when nearly all traces of the "Glory that was Greece and the grandeur that was Rome" had already vanished.
Sources:
(1) Hong et al, Greenland Ice Evidence of Hemispheric Lead Pollution Two Millennia Ago by Greek and Roman Civilizations, Science, Vol. 265 no. 5180 pp. 1841-1843, 1994
(2) Hong et al, A History of Ancient Copper Smelting Pollution During Roman and Medieval Times Recorded in Greenland Ice, Science, 1996
(3) Edited by Wilson & Bowman, Quantifying the Roman Economy, 2009
(4) Edited by Scheidel et al, The Cambridge Economic History of the Greco-Roman world, 2007
(5) Patterson, C. C., Silver Stocks and Losses in Ancient and Medieval Times, The Economic History Review, Vol. 25, No. 2, 1972
(6) Cleere, H., The Iron Industry in Roman Britain, 1981
(7) Sim & Ridge, Iron for the Eagles, 2002
(8)
ORBIS
(9)
ironwhe1.htm
(10) Maddison, The World Economy: A Millennial Perspective, 2001
(11) Temin P., The Economy of the Early Roman Empire, Journal of Economic Perspectives, 2006
(12) The Ancient Economy: Methods and Problems, 2007
(13) Perkins B.W., The Fall of Rome and the End of Civilization, 2007
(14) Jongman W., Gibbons was Right, Crises and the Roman Empire, pp 183-200, 2007
(15) Broadberry, Gupta, The Early Modern Great Divergence, 2006
(16) Takashima et al, Japan and the Great Divergence: 730 - 1870, 2011
(17) Amemiya, Economy and Economics in Ancient Greece, 2007
(18) Hadrill A. W., Houses and Society in Pompeii and Herculaneum, 1994