EINITE. ERC Starting Grant. Economic Inequality in preindustial Europe, Guido Alfani

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ERC Starting Grant EINITE Economic Inequality in preindustial Europe, 1300-1800 Guido Alfani DONDENA Centre for Research on Social Dynamics Bocconi University, Milan, Italy

Our initial objectives What is the long-term relationship between economic growth and inequality? 1 2 What were the effects of plagues and other severe mortality crises on property structures? 3 What is the underlying relationship between immigration and urban inequality? 4 How was economic inequality perceived in the past, and how did its perception change over time?

The areas covered by EINITE: Italy

the Low Countries

and other European areas, in particular south France, Catalonia and England

The (more or less) common archival sources used: the estimi or property tax records

The EINITE database: community-level files (ex. Carmagnola 1461) ERC Starting Grant EINITE - G. Alfani

and the «synthetic» database. From inequality measures Year (refeyear (actugini indextheil indeq1 Q2 Q3 Q4 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 Top5 Top1 N.Cases Missing Data ( Bollengo e Borgofranco 1600 1629 0,72 1,049 1,4 5,36 12,63 80,61 0,31 0,6 1,34 1,82 2,69 4,07 5,15 8,37 14,49 61,16 41,87 12,18 106 0 Bollengo e Borgofranco 1650 1649 0,734 1,177 1,55 4,94 12,26 81,25 0,33 0,78 1,24 1,73 2,41 3,6 5,58 7,84 12,43 64,06 49,98 12,79 135 0 Carmagnola 1450 1461 0,567 0,597 3,49 9,89 19,7 66,92 0,9 1,52 2,45 3,52 4,99 6,4 8,13 11,61 17,28 43,2 28,31 10,47 506 14 Carmagnola 1500 1491 0,599 0,719 2,86 8,6 19,29 69,25 0,67 1,29 2,08 3,1 4,33 5,96 8,16 11,33 17,45 45,64 31,79 14,14 1055 2 Carmagnola 1600 1579 0,616 0,761 2,4 8,46 18,58 70,57 0,43 1,11 2 3,04 4,28 5,73 7,86 10,93 17,01 47,61 33,71 14,06 2125 4 Carmagnola 1750 1734 0,764 1,518 1,03 3,9 10,97 84,09 0,19 0,48 0,85 1,41 2,02 3,12 4,63 7,33 13,86 66,13 51,76 26,69 1664 7 Cherasco 1350 1347-1354 0,630 0,762 2,10 7,57 18,27 72,07 0,35 1,00 1,69 2,69 3,94 5,45 7,76 11,19 17,92 48,01 33,01 12,44 708 0 Cherasco 1400 1395-1415 0,546 0,541 3,86 10,63 20,51 65,00 0,85 1,78 2,83 3,94 5,09 6,80 8,54 11,49 16,97 41,72 27,41 7,97 509 0 Cherasco 1450 1447-1450 0,521 0,463 3,70 11,21 22,84 62,25 0,76 1,74 2,65 3,88 5,89 7,53 9,59 12,73 19,13 36,10 21,74 6,02 228 0 Cherasco 1550 1530-1548 0,627 0,827 3,31 7,74 16,28 72,67 0,80 1,51 2,16 2,86 3,71 4,90 6,89 10,11 16,41 50,63 35,98 15,91 668 0 Cherasco 1600 1585 0,682 0,916 1,78 5,86 14,92 77,44 0,37 0,82 1,31 2,04 3,10 4,37 6,26 9,51 17,15 55,06 38,54 13,06 764 0 Cherasco 1650 1648 0,755 1,243 1,26 3,82 10,62 84,30 0,27 0,59 0,92 1,34 1,97 2,82 4,46 7,76 15,51 64,36 48,52 19,96 1168 0 Cherasco 1700 1711 0,796 1,459 0,93 3,03 8,62 87,42 0,16 0,45 0,72 1,05 1,59 2,37 3,66 5,95 12,31 71,75 56,31 21,61 1603 0 Chieri 1300 1311 0,715 1,183 2,26 5,14 12,22 80,37 0,77 0,81 1,47 1,88 2,47 3,54 5,2 7,95 14,6 61,31 47,43 22,26 2655 53 Chieri 1450 1437 0,669 1,004 2,56 7,12 14,88 75,43 0,53 1,18 1,9 2,59 3,47 4,57 6,27 9,05 14,03 56,4 44,08 19,59 1212 6 Chieri 1500 1514 0,744 1,289 1,43 4,81 11,56 82,19 0,26 0,68 1,13 1,73 2,45 3,4 4,86 7,52 13,09 64,89 51,73 22,88 2146 5 Chieri 1600 1582 0,76 1,462 1,1 4,49 11,52 82,89 0,1 0,53 1,07 1,6 2,29 3,37 4,9 7,33 12,84 65,97 54,47 30,03 2441 7 Chieri 1700 1707 0,847 1,787 0,45 2,08 5,56 91,91 0,06 0,21 0,44 0,74 1,08 1,52 2,38 3,97 9,96 79,65 63,7 28,43 1290 9 Cumiana 1500 1496 0,538 0,505 3,75 10,39 21,67 64,19 0,79 1,72 2,82 3,84 4,96 6,59 9,15 13,2 19 37,92 24,74 7,97 372 7 Cumiana 1550 1558 0,572 0,648 2,92 9,72 21,04 66,32 0,52 1,38 2,33 3,53 4,88 6,8 8,81 11,97 17,88 41,89 29,77 13,17 533 0 Cumiana 1600 1614 0,6 0,659 1,93 8,53 20,72 68,82 0,25 0,89 1,87 2,99 4,46 6,26 8,73 12,92 18,86 42,78 29,13 10,48 482 3 Cumiana 1650 1664 0,588 0,854 3,38 9,91 19,47 67,24 0,51 1,69 2,64 3,76 4,68 6,11 8,38 10,82 15,61 45,79 36,13 21,22 364 0 Cumiana 1700 1694 0,579 0,715 3,16 10,2 19,8 66,84 0,56 1,48 2,69 3,79 4,83 6,29 8,36 11,29 16,18 44,53 33,12 16,58 511 6 Cumiana 1750 1749 0,675 1,187 2,12 7,13 15,5 75,25 0,32 0,99 1,81 2,56 3,58 4,95 6,5 9,03 14,92 55,35 44,18 28,47 788 24 Bollengo e Borgofranco Bollengo e Borgofranco Carmagnola Carmagnola Carmagnola Carmagnola Cherasco Cherasco Cherasco Cherasco Gini index 0,72 0,734 0,567 0,599 0,616 0,764 0,630 0,546 0,521 0,627 D9 D10 Top5 Top1 N.Cases 14,49 61,16 41,87 12,18 106 12,43 64,06 49,98 12,79 135 17,28 43,2 28,31 10,47 506 17,45 45,64 31,79 14,14 1055 17,01 47,61 33,71 14,06 2125 13,86 66,13 51,76 26,69 1664 17,92 48,01 33,01 12,44 708 16,97 41,72 27,41 7,97 509 19,13 36,10 21,74 6,02 228 16,41 50,63 35,98 15,91 668 ERC Starting Grant EINITE - G. Alfani 15/22

to a broad range of other variables Archival References Bollengo e Borgofranco Bollengo e Borgofranco Carmagnola Carmagnola Carmagnola Carmagnola Cherasco Cherasco Cherasco Cherasco Cherasco Cherasco Cherasco Chieri Chieri Chieri Chieri Chieri Cumiana Cumiana Cumiana Cumiana Cumiana Cumiana Bollengo e Borgofranco Bollengo e Borgofranco Carmagnola Carmagnola Carmagnola Carmagnola Cherasco Cherasco Cherasco Cherasco Property less Longitud Content included e Real estatno Real estatno Latitude On the coast River Juridical status of civitas Court Bishop Bishopric Contado State ERC Starting Grant EINITE - G. Alfani Current Current Province Region Current State Monte di pietà Heredita Mezzadri ry a classica System Population Carmagnola Histo Real estatno 07 43'8"7644 50'52"8No Yes (Po) No No No Saluzzo; Torino (frommarchesa Torino PiemonteItalia Yes (from n.a. egalitaria 7,205 (1612); 8,856 (1734); 11,933 (1774) Carmagnola Histo Real estatno 07 43'8"7644 50'52"8No Yes (Po) No No No Saluzzo; Torino (frommarchesa Torino PiemonteItalia Yes (from n.a. egalitaria 7,205 (1612); 8,856 (1734); 11,933 (1774) Carmagnola Histo Real estatno 07 43'8"7644 50'52"8No Yes (Po) No No No Saluzzo; Torino (frommarchesa Torino PiemonteItalia Yes (from n.a. egalitaria 7,205 (1612); 8,856 (1734); 11,933 (1774) Carmagnola Histo Real estatno 07 43'8"7644 50'52"8No Yes (Po) No No No Saluzzo; Torino (frommarchesa Torino PiemonteItalia Yes (from n.a. egalitaria 7,205 (1612); 8,856 (1734); 11,933 (1774) Cherasco HistoricaImmobili No 7 52 00 E 44 39 00 No No Yes (from thno No Asti (untilalba and ADal 1366 f Cuneo PiemonteItalia Yes (from 1619) Di norma 3,570 (1377); 3,997 (1612); 7,658 (1734); Cherasco HistoricaReal estatno 7 52 00 E 44 39 00 No No Yes (from thno No Asti (untilalba and ADal 1366 f Cuneo PiemonteItalia Yes (from 1619) Di norma 3,570 (1377); 3,997 (1612); 7,658 (1734); Cherasco HistoricaReal estatno 7 52 00 E 44 39 00 No No Yes (from thno No Asti (untilalba and ADal 1366 f Cuneo PiemonteItalia Yes (from 1619) Di norma 3,570 (1377); 3,997 (1612); 7,658 (1734); Cherasco HistoricaImmobili, No 7 52 00 E 44 39 00 No No Yes (from thno No Asti (untilalba and ADal 1366 f Cuneo PiemonteItalia Yes (from 1619) Di norma 3,570 (1377); 3,997 (1612); 7,658 (1734); Cherasco HistoricaReal estatno 7 52 00 E 44 39 00 No No Yes (from thno No Asti (untilalba and ADal 1366 f Cuneo PiemonteItalia Yes (from 1619) Di norma 3,570 (1377); 3,997 (1612); 7,658 (1734); Cherasco HistoricaReal estatno 7 52 00 E 44 39 00 No No Yes (from thno No Asti (untilalba and ADal 1366 f Cuneo PiemonteItalia Yes (from 1619) Di norma 3,570 (1377); 3,997 (1612); 7,658 (1734); Cherasco HistoricaReal estatno 7 52 00 E 44 39 00 No No Yes (from thno No Asti (untilalba and ADal 1366 f Cuneo PiemonteItalia Yes (from 1619) Di norma 3,570 (1377); 3,997 (1612); 7,658 (1734); Chieri Historical AImmobili No 07 49'24"245 0'53"64No No Yes No No Torino Dal XIV setorino PiemonteItalia Yes n.a. egalitaria 6,700 (1377); 9,511 (1571); 10,710 (1612) Chieri Historical AReal estatno 07 49'24"245 0'53"64No No Yes No No Torino Dal XIV setorino PiemonteItalia Yes n.a. egalitaria 6,700 (1377); 9,511 (1571); 10,710 (1612) Chieri Historical AReal estatno 07 49'24"245 0'53"64No No Yes No No Torino Dal XIV setorino PiemonteItalia Yes n.a. egalitaria 6,700 (1377); 9,511 (1571); 10,710 (1612) Chieri Historical AReal estatno 07 49'24"245 0'53"64No No Yes No No Torino Dal XIV setorino PiemonteItalia Yes n.a. egalitaria 6,700 (1377); 9,511 (1571); 10,710 (1612) Chieri Historical AReal estatno 07 49'24"245 0'53"64No No Yes No No Torino Dal XIV setorino PiemonteItalia Yes n.a. egalitaria 6,700 (1377); 9,511 (1571); 10,710 (1612) Cumiana HistoricaReal estatno 07 22'40"007 22'40"0No No No No No Torino (unpinerolo Stati saba Torino PiemonteItalia No n.a. egalitaria 730 (1377); 1,175 (1560); 1,647 (1571); 1, Cumiana HistoricaReal estatno 07 22'40"007 22'40"0No No No No No Torino (unpinerolo Stati saba Torino PiemonteItalia No n.a. egalitaria 730 (1377); 1,175 (1560); 1,647 (1571); 1, Cumiana HistoricaReal estatno 07 22'40"007 22'40"0No No No No No Torino (unpinerolo Stati saba Torino PiemonteItalia No n.a. egalitaria 730 (1377); 1,175 (1560); 1,647 (1571); 1, Cumiana HistoricaReal estatno 07 22'40"007 22'40"0No No No No No Torino (unpinerolo Stati saba Torino PiemonteItalia No n.a. egalitaria 730 (1377); 1,175 (1560); 1,647 (1571); 1, Cumiana HistoricaReal estatno 07 22'40"007 22'40"0No No No No No Torino (unpinerolo Stati saba Torino PiemonteItalia No n.a. egalitaria 730 (1377); 1,175 (1560); 1,647 (1571); 1, Cumiana HistoricaReal estatno 07 22'40"007 22'40"0No No No No No Torino (unpinerolo Stati saba Torino PiemonteItalia No n.a. egalitaria 730 (1377); 1,175 (1560); 1,647 (1571); 1, Archival References Content Real estatno Real estatno Carmagnola Histo Real estatno Carmagnola Histo Real estatno Carmagnola Histo Real estatno Carmagnola Histo Real estatno Cherasco HistoricaImmobili No Property less included Heredita ry System Population egalitarian7,205 (1612); 8,856 (1734); 11,933 (1774) egalitarian7,205 (1612); 8,856 (1734); 11,933 (1774) egalitarian7,205 (1612); 8,856 (1734); 11,933 (1774) egalitarian7,205 (1612); 8,856 (1734); 11,933 (1774) Di norma e3,570 (1377); 3,997 (1612); 7,658 (1734); 8,63 15/22

The case of Piedmont (wealth inequality, Gini indexes) 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Carmagnola Cherasco Chieri Moncalieri Ivrea Saluzzo Source: Alfani, Economic inequality in northwestern Italy: A long-term view (fourteenth to eighteenth centuries), Journal of Economic History, 2015

Share of wealth of the top 10% (Piedmont) 90 80 70 60 50 40 30 20 10 0 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Carmagnola Cherasco Chieri Moncalieri Ivrea Saluzzo Source: Alfani, Economic inequality in northwestern Italy: A long-term view (fourteenth to eighteenth centuries), Journal of Economic History, 2015

A new method to aggregate local time series in order to produce «regional» time series (introduced in Alfani 2015) 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Piedmont Cities Rural areas Source: Alfani, Economic inequality in northwestern Italy: A long-term view (fourteenth to eighteenth centuries), Journal of Economic History, 2015

Economic inequality in the Florentine contado, 1300-1800 (Gini indexes) 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0 Estimo Catasto Decima 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Castelfiorentino St. Godenzo Contado of Florence Poggibonsi St. Maria Impruneta Contado of St. Gimignano

The impact of the Black Death in Tuscany: Lorenz Curves

Why was Herlihy wrong? He was not comparing 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 like with like 1300 1314 1328 1342 1356 1370 1384 1398 1412 1426 1440 1454 1468 1482 1496 1510 1524 1538 1552 1566 1580 1594 St. Maria Impruneta (standardized) St. Maria Impruneta (non-standardized)

The impact of the Black Death in the region Emilia-Romagna 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0 1300 1350 1400 1450 1500 1550 1600 Crevalcore Castel S.Pietro Monghidoro

Economic inequality in Tuscan cities, 1300-1800 (Gini indexes) 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Arezzo Prato St. Gimignano (with contado, without institutions)

Findings from (provisional) regression analysis (1) (2) (3) (4) (5) Year 0.0007*** (0.0001).0008*** (0.0001) 0.0008*** (0.0001) 0.0008*** (0.0001) 0.0008*** (0.0001) Pre-Black Death 0.1211*** (0.0309) 0.1215*** (0.0309) 0.1303*** (0.0307) Per capita GDP (ln) 0.1431 (0.0902) 0.1750** (0.0869) 0.1637* (0.0919) 0.1807* (0.0913) 0.1761* (0.0993) Population (ln) 0.0465*** (0.0066) 0.0076 (0.0120) 0.0025 (0.0209) -0.0008 (0.0124) -0.0157 (0.0228) Urban (ref.: Rural) 0.0884*** (0.0280) 0.0869*** (0.0307) Estimo (ref.: Decima) 0.0172 (0.0216) 0.0228 (0.0235) 0.0325 (0.0279) 0.0358 (0.0285) Catasto (ref.: Decima) -0.0243 (0.0205) -0.0226 (0.0230) -0.0197 (0.0224) -0.0235 (0.0249) Fixed effects Yes Yes (community dummies) F 90.55*** 49.53*** 24.24*** 31.41*** 13.85*** R² 0.6674 0.7030 0.7405 0.6490 0.6919 N 130 130 130 115 115

Towards a regional reconstruction, 1450-1750: the data used 0,9 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0 1450 1500 1550 1600 1650 1700 1750 Arezzo Prato Contado of Florence

The Tuscan regional reconstruction 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 1450 1500 1550 1600 1650 1700 1750 1800 Cities Tuscany Rural areas

Comparing regional trends in Italy: Piedmont, Tuscany and Apulia (for now!) 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 1500 1550 1600 1650 1700 1750 1800 Piedmont Tuscany Apulia

Taking the comparison beyond Italy: the Low Countries

Urban trends in inequality (Gini) 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 1500 1550 1600 1650 1700 1750 1800 Piedmont Northern Low Countries Tuscany Southern Low Countries

Regional trends in inequality (Gini) 1 0,9 0,8 0,7 0,6 0,5 0,4 0,3 1500 1550 1600 1650 1700 1750 1800 Piedmont Northern Low Countries Tuscany Southern Low Countries

Possible explanations Across four different States, on both sides of the Little Divergence, we find empirically a broadly similar path of increase in economic inequality throughout the Early Modern period As it seems, no single causal factor can explain all four cases (plus Apulia) for the whole period: this means there was no «necessary» condition to have inequality increase, but possibly a range of «sufficient» conditions. We are considering the following: Economic growth Demographic factors (urbanization) Proletarianization Institutions and politics (extraction of inequality)

GDP per capita 3000 2500 2000 1500 1000 500 0 1500 1600 1700 1750 1800 central-northern Italy northern Low Countries southern Low Countries Source: Maddison Project (2014)

Politics, institutions, & inequality extraction Gini E2'' IPF E1 E2' P2 H2 P1, H1 GDP per capita

Extraction of inequality: the northern Low Countries

and Tuscany Converted Gini coefficients (1550 = 76% extraction ratio, as in Northern Low Countries)

All cases Tuscany Piedmont southern L.C. northern L.C. Converted Gini coefficients (1550 = 76% extraction ratio)

Extraction ratios 100 95 90 85 80 75 70 1500 1550 1600 1650 1700 1750 1800 Northern LC Southern LC Tuscany Piedmont Converted extraction ratios: 1550 = 76%

Increasing extraction and the rise of the fiscal Number of daily wages of labourers in construction industry 35 30 25 20 15 10 5 0 1500 1530 1560 state in Europe 1590 1620 1650 Holland Flanders State of Milan Sabaudian State Increase in per-capita fiscal burden, ca. 1500-1800 1680 1710 1740 1770 1800 22 17 12 7 2-3 Lire per capita (only for Sabaudian State)

Politics and institutions The fact that although inequality grew everywhere, trends in inequality extraction ratios differed deeply suggests to pay particular attention to political and institutional factors. The rise of the fiscal-military state: - Growth of regressive fiscal pressure Relative exception: Dutch Republic - Inegalitarian Redistribution through interest payments & warfare And in the opposite direction: poor relief (2016 article by Van Bavel and Rijma, suggesting differences in levels of social spending across preindustrial Europe) Processes of proletarianization

Other fields of enquiry: the prevalence of the rich in Europe, 1300-1800 20% 15% 10% 5% 40% 35% 30% 25% 20% 0% 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 15% 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Sabaudian State Florentine State Southern Low Countries (cities only) Sabaudian State (cities only) Kingdom of Naples (Apulia) Sabaudian State Florentine State Southern Low Countries (cities only) Sabaudian State (cities only) Kingdom of Naples (Apulia) Richness line = 1000% of median Richness line = 200% of median Source: G. Alfani, The rich in historical perspective. Evidence for preindustrial Europe (ca. 1300-1800). IGIER Working Paper coming soon

(notice the robustness of these measures to distortions caused by truncated distributions) 20% 15% 10% Prevalence of the rich, with and without the propertyless 5% 0% 1500 1550 1600 1650 1700 1750 Padua (with propertyless) Padua Bergamo (with propertyless) Bergamo (Padua and Bergamo, 1500-1750. Richness line = 1000% of median value) Source: G. Alfani, The rich in historical perspective. Evidence for preindustrial Europe (ca. 1300-1800). IGIER Working Paper 2016

The impact of the Black Death (Sabaudian State and Florentine State. Richness line =1000% of median) Source: G. Alfani, The rich in historical perspective. Evidence for preindustrial Europe (ca. 1300-1800). IGIER Working Paper 2016 7% 6% 5% 4% 3% 2% 1% 0% 1300 1320 1340 1360 1380 1400 1420 1440 Chieri Cherasco Poggibonsi Prato

The share of the top 10% 90 80 70 60 50 40 30 20 10 0 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Sabaudian State Sabaudian State (cities only) Florentine State Southern Low Countries (cities only) Kingdom of Naples (Apulia) Northern Low Countries In Italy, where the figures refer to wealth (in the Low Countries they refer to income), for 1800 we found shares of the top 10% very close to those proposed by Piketty (2014) for Europe in 1810: about 80%

«Richness» indexes (β=1, richness line = 1000% of median) 0.08 0.06 0.04 0.02 0 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 Sabaudian State Sabaudian State (cities only) Florentine State Kingdom of Naples (Apulia) Southern Low Countries (cities only)

Provisional data for southern France (Ginis)

Thanks for your attention!

The trend is not created by the sources: Chow Test 6 August 2015

A limitation of the Tuscan (and generally, the Italian) data: part of the poor (the property-less) is not included % Propertyless in the Florentine State Community Florentine Contado (overall) Year 1350 1450 1500 1550 33.1% 30.6% Prato 37.6% 17.9% 32.2% Arezzo 50.1% 6 August 2015

Solving weighting issues: Tuscan urbanization rates (cities>5,000) 22 20 18 16 14 12 10 1400 1500 1600 1700 1800 Source: Breschi and Malanima 2002

Weighting issue n.1: urban-rural wealth ratio Average household wealth in the Florentine State (1427) Hearths Average net taxable wealth per hearth Florence 9821 777 Arezzo 1189 208.3 Prato 951 157.2 contado (excluding Prato) 25615 52.6 Florentine State (overall) 59770 197.3

Population of Prato and Arezzo, 1393-1833 12000 10000 8000 6000 4000 2000 0 1393 1413 1433 1453 1473 1493 1513 1533 1553 1573 1593 1613 1633 1653 1673 1693 1713 1733 1753 1773 1793 1813 1833 Arezzo Prato

Rural/Urban average wealth ratio in the Florentine State, 1450-1750 0.40 0.35 0.30 0.25 0.20 0.15 0.10 1450 1500 1550 1600 1650 1700 1750