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EQUAL PARTITION AND REGIONAL DEVELOPMENT This version: June 11, 2020 The Fetters of Inheritance? Equal Partition and Regional Economic Development * THILO R. HUNING FABIAN WAHL Abstract How can agricultural inheritance traditions affect structural change and economic development in rural areas? The most prominent historical traditions are primogeniture, where the oldest son inherits the whole farm, and equal partition, where land is split and each heir inherits an equal share. In this paper, we provide a framework that links these inheritance traditions to the local allocation of labor and capital and to municipal development. In our empirical part, we conduct fuzzy spatial RDD and IV regressions for Europe and Baden-W ¨ urttemberg the 1950s, and today. Using data on WWI casualties and municipal migration balance, we provide evidence that this, in line with our theory, can be explained by emigration out of primogeniture areas. We find that inheritance rules caused, in line with our theoretical predictions, higher incomes, population densities, and industrialization levels in areas with equal partition. Results suggest that more than a third of the overall inter-regional difference in average per capita income in present-day Baden W ¨ urttemberg, or 597 Euro, can be attributed to equal partition. We also show that our results hold when using other data sources for the inheritance traditions, and for other periods and states. JEL Codes: D02 · D31 · N09 · N05 · O18 · Z01 Keywords: Inheritance rules · sectoral change · regional economic development · Baden-W ¨ urttemberg · spatial inequalities A fundamental question economists are concerned with is what determines the allocation of pro- duction factors. Inheritance is the largest re-allocation of resources between individuals outside markets. As such, it is expected to influence wealth, income, and gender inequality, human capital (e.g. Galor, Moav, and Vollrath 2009), migration, urbanization, economic development, and the political system (e.g. Bertocchi 2006; Popa 2019; Hager and Hilbig 2019; Galasso and Profeta 2018). Agricultural inheritance rules, notably primogeniture (only the oldest son inherits the farm) and equal partition (the farm is split equally among all children) have shaped today’s map of economic activity. These rules are informal traditions and social norms, and thus they are a prime example of a cultural determinant of economic activity. They have had a substantial effect on regional devel- * We would like to thank Sibylle Lehmann-Hasemeyer, Nikolaus Wolf, Eric Chaney, Giacomo De Luca, Alexander Donges, J ¨ orgen Kratz, Steven Pfaff, Ulrich Pfister, Andrew Pickering, Yannay Spitzer, Jochen Streb, Max Winkler, Nathan Nunn, Sebastian Braun and Sascha Becker. We also thank seminar participants in York, Hohenheim and G¨ ottingen as well as the participants of the III. Congress on Economic and Social History 2019 in Regensburg and the 18 th Annual ASREC Conference 2019 in Boston, especially Jared Rubin and Mark Koyama, the 2 nd Workshop on Geodata in Economics 2019 in Hamburg especially Stefano Falcone, Maxim Pinkovskiy and David Weil, and the 23 rd SIOE Conference 2019 in Stockholm. Thilo R. Huning is lecturer at Department for Economics and Related Studies, University of York, Hesligton, York YO10 5DD, UK; e-mail: thilo.huning at york.ac.uk Fabian Wahl is post doctoral researcher at the Institute for Economic and Social History with Agricultural History, University of Hohenheim, Wollgrasweg 49, 70599 Stuttgart, Germany; e-mail: fabian.wahl at uni-hohenheim.de 1

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Page 1: The Fetters of Inheritance? Equal Partition and Regional Economic … · 2020-06-11 · EQUAL PARTITION AND REGIONAL DEVELOPMENT This version: June 11, 2020 The Fetters of Inheritance?

EQUAL PARTITION AND REGIONAL DEVELOPMENT

This version: June 11, 2020

The Fetters of Inheritance?Equal Partition and Regional Economic

Development*

THILO R. HUNING† FABIAN WAHL‡

AbstractHow can agricultural inheritance traditions affect structural change and economic development in ruralareas? The most prominent historical traditions are primogeniture, where the oldest son inherits thewhole farm, and equal partition, where land is split and each heir inherits an equal share. In this paper,we provide a framework that links these inheritance traditions to the local allocation of labor and capitaland to municipal development. In our empirical part, we conduct fuzzy spatial RDD and IV regressionsfor Europe and Baden-Wurttemberg the 1950s, and today. Using data on WWI casualties and municipalmigration balance, we provide evidence that this, in line with our theory, can be explained by emigrationout of primogeniture areas. We find that inheritance rules caused, in line with our theoretical predictions,higher incomes, population densities, and industrialization levels in areas with equal partition. Resultssuggest that more than a third of the overall inter-regional difference in average per capita income inpresent-day Baden Wurttemberg, or 597 Euro, can be attributed to equal partition. We also show that ourresults hold when using other data sources for the inheritance traditions, and for other periods and states.

JEL Codes: D02 · D31 · N09 · N05 · O18 · Z01Keywords: Inheritance rules · sectoral change · regional economic development · Baden-Wurttemberg ·

spatial inequalities

A fundamental question economists are concerned with is what determines the allocation of pro-duction factors. Inheritance is the largest re-allocation of resources between individuals outsidemarkets. As such, it is expected to influence wealth, income, and gender inequality, human capital(e.g. Galor, Moav, and Vollrath 2009), migration, urbanization, economic development, and thepolitical system (e.g. Bertocchi 2006; Popa 2019; Hager and Hilbig 2019; Galasso and Profeta 2018).Agricultural inheritance rules, notably primogeniture (only the oldest son inherits the farm) andequal partition (the farm is split equally among all children) have shaped today’s map of economicactivity. These rules are informal traditions and social norms, and thus they are a prime example ofa cultural determinant of economic activity. They have had a substantial effect on regional devel-

*We would like to thank Sibylle Lehmann-Hasemeyer, Nikolaus Wolf, Eric Chaney, Giacomo De Luca, AlexanderDonges, Jorgen Kratz, Steven Pfaff, Ulrich Pfister, Andrew Pickering, Yannay Spitzer, Jochen Streb, Max Winkler, NathanNunn, Sebastian Braun and Sascha Becker. We also thank seminar participants in York, Hohenheim and Gottingen as wellas the participants of the III. Congress on Economic and Social History 2019 in Regensburg and the 18th Annual ASRECConference 2019 in Boston, especially Jared Rubin and Mark Koyama, the 2nd Workshop on Geodata in Economics 2019 inHamburg especially Stefano Falcone, Maxim Pinkovskiy and David Weil, and the 23rd SIOE Conference 2019 in Stockholm.

†Thilo R. Huning is lecturer at Department for Economics and Related Studies, University of York, Hesligton, YorkYO10 5DD, UK; e-mail: thilo.huning at york.ac.uk

‡Fabian Wahl is post doctoral researcher at the Institute for Economic and Social History with Agricultural History,University of Hohenheim, Wollgrasweg 49, 70599 Stuttgart, Germany; e-mail: fabian.wahl at uni-hohenheim.de

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opment. While the supply of excess labor was small in regions in which the oldest sons inheritedthe family farm, rural regions of equal partition attracted capital from the outside. These equalpartition areas were hence early centers of low-wage and low-skill proto-industry, such as tobaccomanufacturing, and ever since have reversed their fortunes, and developed into some of the mostthriving non-urban regions in the European economy.

While the theoretical literature on inheritance tradition is rich (e.g. Blinder 1973; Baker and Miceli2005), empirical investigations have often relied on crude data inferring inheritance traditionsfrom family systems, such as provided by Todd (1983, 1990) for NUTS-2 regions in several Euro-pean countries, have compared a small set of countries with each other (Habakkuk 1955; Ekelund,Hebert, and Tollison 2002) or descriptively analyzed variation within the North American Britishcolonies (Alston and Schapiro 1984). A notable exception is Hager and Hilbig (2019), who usevillage-level data to show that agricultural inheritance rules matter for today. In this paper, weuse village-level data from the same source to establish another crucial point: Regions with a tra-dition of equal partition are today richer, and have more manufacturing. This is true despite thefact that, historically, equal partition was a norm that made everyone poorer, as it led to land over-fragmentation, was bad for capital accumulation, and even led places to become abandoned dueto an excessively high population of farmers endowed with just enough land—and transactioncosts on the land market just to high—to keep them from leaving. In this paper, we hence providea simple theory that takes inheritance traditions as given and explains why investment in the ruralequal partition area was attractive for rural entrepreneurs. Our mechanism can explain the ‘rever-sal of fortunes’, and establish why the regions that ceteris paribus had lower per capita incomebefore the Industrial Revolution are today richer.

This paper makes four novel contributions to the literature on the influence of informal institu-tions on economic development. First, we argue that particular types of social norms, agriculturalinheritance traditions, like primogeniture and equal partition, have a profound and persistent ef-fect on economic development. We show, based on historical and theoretical arguments, that equalpartition is more favorable for regional industrialization and development.

Second, we derive a neoclassical model in which we allow a Malthusian economy to feature thesedifferent inheritance traditions, and in a second step to be capitalized from outside. This modelsthe historic experience of the rural areas. The putting-out system gave employment to the ruralpopulation, which was more willing to take this employment in areas of equal partition.

As third contribution, our results imply that equal partition is an institution that reduces spatiallabor mobility but, counter-intuitively, aids economic development. This is an interesting additionto the literature around the ‘Oswald hypothesis’ (Oswald 1996).

Fourth, we would like to contribute to a small literature on the development of rural areas duringthe Industrial Revolution (see e.g. Becker and Woessmann 2009; Kopsidis and Wolf 2012; Cin-nirella and Hornung 2016; Roses and Wolf 2018). This is crucial for the understanding of regionaleconomic development, as historically most of the population lived in rural areas or small townsand not in large cities. Yet, cities have received most of the attention of research so far (Bosker,Buringh, and Van Zanden 2013; Bosker and Buringh 2017; Borner and Severgnini 2014; Dittmarand Meisenzahl 2019; Jacob 2010).

The closest paper in the literature is Hager and Hilbig (2019), who also use German data on the

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municipality level. They study the link between inheritance traditions, economic inequality, andpro-egalitarian preferences.1 They find that equal partition is important for the understandingof today’s preferences for public good provision, and various aspects of modern day inequality.The link between equal partition and inequality they have established suggests that there is also aconnection between equal partition and economic development, that could be caused by, amongother things, levels of inequality. In comparison, what we are after is to test whether it had siz-able effects on which parts of the countryside were industrialized and whether its effect workedvia rural proto-industry as established by the putting-out system. In a companion paper, we ex-plain why the assumption of relatively static and exogenous inheritance traditions at the time ofindustrialization of the countryside is plausible (Huning and Wahl 2019a).

We test our theory empirically using different data sets. First, we use the data by Todd (1990) oninheritance practices in European regions. We build a grid cell data set spanning over 24 Euro-pean countries to show that in those grid cells, when estimating OLS regressions with geographiccontrol variables and larger grid cell fixed effects, equal partition is significantly positively relatedto night light intensity.

Second, we base the core of our analysis on the data set by Rohm (1957), and focus on the Germanfederal state of Baden-Wurttemberg. We digitized the borders of the 3,382 historical municipalitiesof Baden-Wurttemberg in 1953. Focusing on Baden-Wurttemberg is interesting from a develop-ment perspective and with an eye on identification. It was not an early center of industrializationin Germany and remained an agrarian, rural state until the late 19th century. Since then it hasbecome one of the economically most prosperous and innovative regions in Germany and thewhole of Europe. It is famous for its uniquely decentralized industrial structure with small andmediums sized firms spread over urban and rural areas. Baden-Wurttemberg today tops the Ger-man productivity statistics in the craftsmanship sector.2 From the perspective of identification,and causal inference, the focus on Baden-Wurttemberg comes with three major advantages. First,there was just a single state government. Second, and most importantly, its industrialization co-incided with the collection of reliable small-scale statistics. Third, it provides us with small-scalevariation in inheritance traditions including not only the basic forms but also a lot of transitionaland mixed traditions. Furthermore, Baden-Wurttemberg is the only area with an identifiable, his-torical border between inheritance traditions in Germany, while other areas show no clear spatialdistribution patterns.

We exploit this spatial discontinuity using a fuzzy spatial RDD approach. First, we show that equalpartition has significantly influenced the structure of the agricultural sector. We find smaller farms,less helping family members and more common lands in equal partition municipalities. Then, weproceed by investigating the theoretical mechanism through which equal partition should haveaffected industrialization in the 19th century. We find evidence for a higher prevalence of the part-time farming and tobacco-growing in the equal partition area. This supports the idea that theputting-out system, was more widespread in the equal partition area and thus, it industrializedearlier. To shed light on historical mobility patterns, we collected data on the family names of fallenor severely insured soldiers from World War I casualty lists. We use the geographic distribution of

1. Menchik (1980), in a similar attempt, studied the influence of inheritance traditions for the wealth distribution in theUnited States.

2. Statistical Office of Baden-Wurttemberg, https://www.statistik-bw.de/Presse/Pressemitteilungen/2016330. Thislead survives adjusting for purchasing power. Data from GfK Kaufkraft Deutschland 2015

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family names of World War I casualties to show that on average, the more frequent a name is in theequal partition area the lower is the number of municipalities in which it is present. This showsthat names are more spatially concentrated in the equal partition area than in the primogeniturearea. The implication is that people historically were less mobile in the equal partition area. Thissupports our theoretical argument that equal partition limits the mobility of heirs as their inheri-tance is less mobile and, as every child inherits some land, the incentive to move away is smaller.As the spatial distribution of family names is the result of century-long migration movements,these results also provide suggestive evidence for the relative stability of equal partition beforethe 20th century. Furthermore, we can show that equal partition municipality’s had a more posi-tive migration balance in the 1950, which shows that also in the 20th century, the equal partitionarea still profits from inflow of workers and people.

Studying the relationship between equal partition and economic development, we consider eco-nomic outcomes from 1950 as dependent variables. Our fuzzy RDD results imply that equal parti-tion municipalities in 1950 were significantly more industrialized, and showed higher populationdensities. These results are robust to a host of robustness checks including placebo border tests,the inclusion of additional control variables, the exclusion of the region around the states’ capitalcity Stuttgart and use of different distance polynomials.

In an alternative identification strategy, we try to best rule out any unobserved heterogeneity, andfocus on the area around Stuttgart. This area is historically known to have a high market integra-tion, and has minimal cultural heterogeneity (today’s dialects here are indistinguishable). We col-lect data on the spread of wine-growing in Baden-Wurttemberg before 1624 and use seasonality ofprecipitation, a variable significantly predicting historical wine-growing, and therefore also equalpartition, as instrumental variable. It is, however, unrelated to the local growing conditions ofother important agricultural crops grown in the area like barely, maize, potatoes or winter wheat.Furthermore, to reduce unobserved heterogeneity and avoid the mountain areas of the black for-est and Swabian Alb, we estimate the IV regressions for a sub-sample of municipalities that arewithin 50km of the states’ capital Stuttgart. The IV results imply a both statistically and econom-ically significantly positive relationship between equal partition and industrialization measurestoo.

To further corroborate the robustness and generalizability of our results, we present further evi-dence using additional data sets in the Online Appendix. There, we show that the baseline resultsremain intact when using economic outcomes from 1961 as dependent variables. Then, we havea look at the effect of equal partition on demographic variables, which turns out to be not verylarge. We also consider contemporary municipalities and outcomes from Baden-Wurttemberg andrun sharp RDDs exploiting the historical border of inheritance traditions Rohm (1957) viewed asa watershed between the inheritance traditions. We find that contemporary municipalities in thehistorical equal partition area have higher per capita incomes and industrial activity. Next, we dig-itized data from Krafft (1930) and create a data set for 1895 Wurttemberg. We find that our resultsalso hold for thiis earlier period and alternative data set on local inheritance traditions. Finally, weuse the data set of Hager and Hilbig (2019), who have digitized a map on inheritance traditions inWest German municipalities in the early 1950s based on a survey conducted by Rohm (1957). Wefind strong, and positive relationships between equal partition and municipal population densityand wage income in 2014.

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The rest of the paper has the following structure. In section I, we summarize the literature onthe consequences of inheritance traditions on economic development, followed by our model insection II and empirical evidence on for Europe in section III. In section IV, we introduce ourdata on Baden-Wurttemberg. Empirical evidence for these regions we provide in section V. Weconclude in section VI.

I. LITERATURE REVIEW

Economic historians proposed ample theories linking inheritance practice to economic develop-ment. O’Brien (1996) hypothesizes that landless workers, which were more prevalent in primo-geniture England, provided the industrializing cities with cheap labor, and allowed it to overtakeFrance—which relied on equal partition, especially after its 1789 revolution guided by egalitarianideas of land distribution (see Tocqueville 1835).

An alternative view, dominant but not exclusively prevalent in the German-speaking literature(e.g., Habakkuk 1955; Karg 1932; Rohm 1957; Schroder 1980) is that equal partition fostered in-dustrial development. The first wave of rural industrialization was usually the establishment ofputting-out systems by one or more entrepreneurs who provided farmers with raw materials (e.g.tobacco leafs), sometimes even tools, and required them to perform certain manual tasks (e.g.rolling cigars) in a predetermined time frame.3 Wehler (2008, p. 94) argues that employees fromrural regions had two main advantages for the entrepreneurs. First, they avoided the regulationof city guilds which were hard to get into, and had highly regulated wages and labor standards.Second, peasants were seasonally unemployed for most of the year, and were seeking other modesof employment, also to hedge against the risk of harvest failure. Workers were, in Wehler’s view,exploited by low wages, long and unregulated working hours, high interests on the raw materialsto penalize lateness, and payment in kind instead of coin. All these aspects, however point at eco-nomic development in the countryside, as the potential of the rural areas is exploited, especiallyin areas were guilds where very restrictive at the time.

We hence explain the diverging predictions the literature has on economic outcomes by differentpatterns of regional development. While the English literature regards the rural area as the sourceof capital for urban development, we—in line with the German historic literature—view the ruralarea as the destination for investment, mostly from urban or foreign capital holders. While thefortunes of English primogeniture inheritors might well have fueled the British Industrial Revo-lution, in continental Europe it was often the countryside that attracted capital, and inheritancepatterns were part of the investment decision, as they directly affected the labor supply.

It is well documented that in areas of primogeniture, putting-out systems were less successful.Siblings necessary for working on the farm were more prone to these exploitative conditions, andgiven their more mobile inheritance, often in forms of animals or even money, could leave the mu-nicipality, and rather move into cities. Hence, such areas would have been subject to a higher em-igration, therefore we expect these areas to be less populous.4 Among others, Wegge (1998), Karg

3. See for example Karg (1932), who provides a detailed case study on the putting-out system and its connection to equalpartition for early 20th century Baden.

4. Habakkuk (1955, pp.9) highlighting the smaller migration pressure and the less mobile inheritance of children in theequal partition area puts it like this “Where the peasant population was relatively dense but immobile, industry tended tomove to the labor; where the peasant population was more mobile even if less fertile, the industrialist had much greater

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(1932) (for Baden) and Krafft (1930) (for Wurttemberg) provide historical evidence on this emi-gration from the primogeniture area.5 The migration from rural primogeniture areas to populousequal partition areas put population growth on hold or into decline in the primogeniture areas butled to a population increase in the industrializing areas of equal partition. People migrated fromthe agricultural sector in the primogeniture area and engaged in industrial activities, while peo-ple who stayed in the primogeniture area remained mostly farmers. This way, it contributed notonly to structural change in the equal partition area but also to an increase in population densitythere. This created agglomeration externalities, which fostered the industrialization of the areaeven further.

There is a close relation of our theory to other two sector models of urban and rural labor markets,going back to Harris and Todaro (1970). We focus however on the rural sector alone and areinterested in differences caused within this sector but across regions that apply different traditions.We introduce our idea of inheritance traditions and the role of the putting-out system.

Another idea related to this paper is that immobile property affects economic growth, knownas the Oswald-hypothesis (Oswald 1996). Proponents of this idea believe that homeownershipinduces labor market frictions, causes unemployment, and hampers economic growth.6 Our ar-gument runs in the opposite direction. In the long run, ownership of immobile capital can fostereconomic growth—given that the initial distribution of population is not inefficient. In a nutshell,our argument is that the land endowment of peasant families with in equal partition areas was of-ten too small to subsist on it but too much to abandon the farm entirely. Therefore, they suppliedcheap and skilled labor in rural areas. This allowed these regions to industrialize, and to overtakethe primogeniture areas.

The literature on agricultural inheritance traditions (e.g., Hager and Hilbig 2019; Rohm 1957) inBaden-Wurttemberg has highlighted that they were slow to adapt to the changes of the industrialrevolution and were more or less stable over time before. In Huning and Wahl (2019a) we testthis claim in a structured way, and find suggestive evidence that the general regional patterns ofinheritance traditions have been established by the early Middle Ages.

II. A FRAMEWORK ON THE ECONOMIC CONSEQUENCES OF AGRICULTURAL

INHERITANCE TRADITIONS

The purpose of this section is to shed some light how inheritance traditions can shape emigrationpatters, attract foreign investment, and in consequence lead to persistent income differences acrossmunicipalities in a rural area, from a macroeconomic perspective. Our focus is to model thesemunicipalities across three historical phases. First, our economy is solely based on agriculture. Wewill argue that equal partition areas had lower per-capita income relative to their primogeniturecounterparts. Second, capital coming from the outside world establishes a proto-industry. It is

freedom to choose his site with reference to the other relevant considerations.” He also shows that the textile industry inEngland flourished most in East Anglia, a region where equal partition was common.

5. Sering and von Dietze (1930) provide evidence that actually, the non-inheriting children often did work outside theagricultural sector, as civil servants or as craftsmen. If they however stayed in the rural area they often married (in the caseof daughters) into another farm, bought one or remained at the family farm to help their sibling and his family.

6. Wolf and Caruana-Galizia (2015) test this for Germany, and using an instrumental variable approach find that home-ownership is positively linked to unemployment.

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attracted by lower wages of the equal partition area. Third, this capital returns rents that are re-invested locally, which leads to a persistently higher income in formerly backward regions.

The economy of our municipalities is based upon creating Y units of standardized output fromthe two factors capital K ≥ 0 and labor L ≥ 0. In order to be utilized in production, capital has tobe tied to a municipality, e.g. by buying land there, making it arable and improving its suitability,or by building up a brick-and-mortar production site. For example, we denote capital invested ina municipality x by Kx. Our production function has to satisfy the requirement of classical wagesand capital rents,

Yx = f(K,L) wx =∂Yx∂Lx

rx =∂Yx∂Kx

(1)

A corollary of the observation by Baker and Miceli (2005, p. 97) “in a world in which land marketsfunction well, the inheritance rule is irrelevant” is that markets, especially land markets, must havebeen imperfect if we should observe variation in economic outcomes depending on inheritanceforms. Individual i receives the marginal product of capital deducted by some transaction coststK ,

rix = tKrx tK ≤ 1 (2)

These transaction occur, and are the same for all cases, if the individual holds capital in a place theydo not live and work in or if the individual moves capital from any municipality to another one.The transaction costs of moving for work are assumed to be negligible over a lifetime. For simplic-ity, we assume that our world is sufficiently small that once individuals decide to transfer capitalor labor between municipalities, the costs of migration are identical across destinations.

We start our theory with an agricultural economy in which our capital is equal to land endowment.Consider a family h with capital in x, Kxh. The siblings, their number given by s ≥ 1, would splitthis inheritance according to tradition, and we assume this is dependent on the place of wherecapital stock is held. If x is in the equal partition area, the endowment of any individual i withcapital, Kxi, would the sth share of the unit of Kx. If x is in the primogeniture area the oldest childwould get the one unit of capital while all others are not endowed with capital. There are hencethree cases for the endowment of each individual i that belongs to h,

Kxi =Kxh

sh,Kxh, or 0 (3)

which denote any sibling from the equal partition area, the oldest, and the other siblings froma primogeniture area.7 Individuals can have capital in different municipalities. All individuals

7. It is a simplification that younger brothers receive no inheritance at all. In real life, depending on local circumstances,they would receive some inheritance, which however would be granted to them in a form that anticipates whether theywould likely migrate, and often money. As such, we can assume that they bear at least lower transaction costs of movingtheir capital than the recipient of the family farm or business.

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have one unit of labor Li = 1. Any individual can employ these factors once, in one self-chosenmunicipality in our universe.

Assume that there are some natural variations in the endowment with capital across municipali-ties, i.e. the soil is more fertile, there are demographic shocks, or any other factor that would leadto a wage differential between municipalities, such that the wage in y is higher than the wage in x.Rational individuals would compare their income in x and y and consider migration. They wouldhave to sell or rent out their capital holdings in x which comes with transaction costs, but if theyown capital in y they would no longer pay transaction costs for this share of their capital. Theycan ignore capital holdings in third places that always come with transaction costs. To sum up,they would be indifferent iff

wx + rxKix + rytKKiy = wy + rxtKKix + ryKiy (4)

Prediction 1. Ceteris paribus, an individual’s likelihood of migrating is dependent on his inheritance.Younger, non-inheriting sibling from primogeniture municipalities migrate most. They have a strictlyhigher probability to migrate compared to individuals from the equal partition area. The oldest, inherit-ing sibling is least likely to migrate.

Assume again that that for some reason, all other things equal, the wage in municipality x is lowerthan in municipality y. In the absence of transaction cost, this wage gap should be closed bymigration (and factor prizes equalize). We can reformulate (4) so that we can show that there mustbe a level of capital endowment in x and y at which individuals are indifferent between movingand staying.

Hence, individuals without any inheritance, namely younger brothers from the primogeniturearea, would leave x iff tL is smaller than the wage differential, because they never have to bearcosts to transfer their non-existent capital. If this equalizes factor prizes, no other group of individ-uals would migrate. This is plausible if the group of individuals without inheritance is numerous,so primogeniture families would regularly have more than two children. If there is still a wagedifferential after all younger brother re-located, inheritors of small plots of land would considermigration, because tKKxi for them is small. Under the condition that inheritors from primo-geniture areas are always better endowed with capital than anyone in the equal partition area,inheriting sons in the primogeniture area would migrate last.

Prediction 2. In equilibrium, per-capita income in the equal partition area is lower than in the primogeni-ture area.

Consider the municipality x which has the lowest wage in our universe. If it was in the primogen-iture area, all younger brothers would leave immediately after inheritance. In the extreme case,only their older brothers remain, which should close the wage gap by their presumably large en-dowment with capital that is never split. The emigration of the younger brothers equalizes thewage gap. In the other case of x being in the equal partition area, there will be emigration byindividuals with very small landholdings. However, there will be individuals that have a largeenough holding that the wage differential does not compensate for the transaction costs of theircapital stock in x. At the margin, assume that two individuals are each endowed with the sameunits of capital, one in municipality x, and one in y. They live where they own. If none of them

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moves, the first individual has less income because of the lower wage level. If x works in y, thecapital rents will become smaller than the other individual’s. Assuming that there will always beindividuals who own capital in x too costly to move place, the wage gap between x and all otherplaces will remain. Economic growth in y can increase the wage gap and incentive more individ-uals from x to move, but x will not catch-up if there are individuals who will not move because oftransaction costs, hence we can call x backward.

To continue with our historical narrative, we now assume that this agricultural economy experi-ences a change from the outside, namely that entrepreneurs from the outside world are searchingfor investment opportunities, in form of proto-industry. Historically, these investors could be ur-ban tradesmen that aim to escape the strongly regulated city market by moving to the countryside.Once they decided to bear the transaction cost to invest in our universe, their decision where toinvest is solely dependent on comparing capital rents. Due to the higher labor supply from therelatively immobile inheritors in the equal partition area, capital rents here are higher than in theprimogeniture area.

Prediction 3. Ceteris paribus, an outside capital investor will find a higher rent in areas of equal partition,relative to areas of primogeniture

We have established in prediction 1 that wage differentials lead to migration out of primogenitureareas, which is expected to reduce these differentials over time. There will always be individualsin the equal partition area that forsake the opportunity of a higher wage elsewhere due to theloss their capital rents experience from transaction costs. Wages in these equal partition areas willstay within the threshold imposed by the transaction costs. We can assume that individuals leavethe equal partition area, for example if their endowment is split over multiple generations andas the amount of land passed down becomes small, it is less costly to bear the transaction costs.However, we do not expect the wage gap to disappear. From (1), it follows that rents are higherwhere capital is more scarce relative to labor, and hence where wages are lower. Paradoxically, thehigher the transaction costs of moving capital between municipalities, the higher the wage gap,and the more foreign investment flows into the equal partition regions.

How can wage differentials that existed during the time our region was industrialized explaintoday’s economic geography? As we will show, equal partition areas are today richer, wages arehigher, and hence investors should have found it, at some point, beneficial to take their capitalinto the primogeniture area. There are several alleys to explain this, all have to do with pathdependency. Lumpy investment, together with our transaction costs, can explain these facts, socan agglomeration economics (spillovers, investment in infrastructure, human capital). The his-torical narrative of the tobacco and textile industry however suggests that there was a slow roadtowards more capital intensity. For managerial reasons, the putting-out model of employing part-time farmers in their free time slowly transformed into mixed systems of factories and work donefrom home, to end up with businesses that ran completely within factory walls. This slow pro-cess included a steady flow of re-investment of capital gains into the firms, which allowed themto survive competition (which eventually drove out market participants that still relied on theputting-out system). Even if capital rents elsewhere would have been higher, e.g. because wageswere lower, the capital could not be moved due to transaction costs. As a consequence, these smallinvestments build up to some world leaders in some industries. Many of these investments havebeen unsuccessful, especially in branches that fell victim to de-industrialization, such as the bulk

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of the German textile industry. What remains is that the regions which had the lower wages havebeen industrialized where the primogeniture area was left behind.

Prediction 4. Ceteris paribus, municipalities of equal partition today are more industrialized, experiencedless emigration during history, and are today economically more prosperous than municipalities of primo-geniture.

There are several limitations of this view point. Fertility in our theory is exogenous, because ourresults suggest no correlation in our region. Regarding their consequences, we here model awaysome outcomes the literature has suggested (e.g. the pension system, see Galasso and Profeta(2018)) as there is no variation in outcomes. Our agents do not care about future generations.We are also silent about human capital. The long-run influence on land inequality and humancapital is modeled and explored by Galor, Moav, and Vollrath (2009) and Cinnirella and Hornung(2016).

III. EQUAL PARTITION AND EUROPEAN NIGHT LIGHT INTENSITY

Our theory suggests a positive relationship between the prevalence of equal partition and eco-nomic development. This link should not be limited to Germany. The labor abundance caused byequal partition should have eased development also in rural France, England, and other Europeancountries. Therefore, as a first step, we document a positive link between equal partition and lu-minosity as a proxy for regional economic development in 24 European countries. Results confirmour theory, and its validity beyond German borders.

Data on regional inheritance practices for Western European countries are available from Todd(1990). He derives inheritance traditions from family types by assuming that the prevalence of ab-solute nuclear and stem families is linked to primogeniture. He associates egalitarian nuclear andcommunitarian family types to equal partition. These data were used widely by previous researchinto the historical origins and political consequences of inheritance traditions within Europe (e.g.Popa 2019; Willenbacher 2003). To our knowledge, Todd’s data are the only source for regionalvariation in inheritance traditions across European countries that empirical researchers have re-lied on. These data have, however, limitations for empirical research: Their units of observationare comparatively large regions (NUTS-2 regions), and they infer inheritance tradition from familytypes (instead from original information on inheritance traditions). Results from NUTS-2 regionsare hard to interpret, foremost because their sizes are endogenous (they have been drawn with eco-nomic or political considerations) and vary systematically. Small-scale data (preferably municipaldata), which we will later rely on, are not readily available for the whole of Europe.

To address these problems, we overlay Western Europe with a fishnet of 1,178 cells, each mea-suring 50km × 50km. We then calculate the share of each grid cell’s area that Todd views as aprimogeniture or equal partition region. From this, we construct an equal partition dummy variableequal to one if more than 90 % of the grid cell’s area fall into an equal partition region.8

We proxy each grid cell’s state of development with average night light intensity. This measure, lu-minosity, is a commonly accepted indicator of small-scale economic development (recent examplesinclude Dalgaard et al. (2018), Henderson, Storeygard, and Weil (2012), Henderson et al. (2017) and

8. Results are fully robust to another coverage threshold like 75 or 85%. Results are available upon request.

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Wahl (2017)). It is measured as radiance levels, and provided by the National Geophysical DataCenter (NGDC) of the National Oceanic and Atmospheric Administration (NOAA) of the US witha spatial resolution of 15*15 arc seconds.9 These data are obtained from the NASA/ NOAA satel-lite’s Visible Infrared Imaging Radiometer Suite (VIIRS). We use the most current version (1.0)which capture the night light intensity of 2016. These raster files allow a higher spatial resolutionthan their predecessors, and are not subject to their issues, such as top-coding.

Regressions feature grid cells’ average elevation, terrain ruggedness, soil suitability, minimumlatitude and longitude, and the length of navigable rivers passing through as controls. Thesevariables are included to account for geographic factors that are likely correlated with both equalpartition and economic development. Furthemore, they are available as high resolution rasteror vector data for all of Europe. We also include either 250km × 250km grid cell fixed effects,or country fixed effects, to account for time-invariant unobserved heterogeneity on country orregional level.10

The bar for what passes as a natural experiments is set high, and an adequate identification strat-egy (for example with an instrumental variable) in this sample is unlikely to pass it. Table 1 henceonly documents partial correlations in the form of cross-sectional OLS regressions with the nat-ural logarithm (ln) of luminosity as dependent variable, the two equal partition measures as ourexplanatory variables, along with varying sets of controls. Standard errors are clustered on thelevel of 250km × 250km grid cells. Our results indicate a robust and both statistically and eco-nomically significant positive correlation between luminosity and equal partition. Regressionswith both the share of equal partition in our grid cells and with the equal partition dummy showsimilar results. All estimations suggest that equal partition areas have on average around 20%higher levels of luminosity than cells with primogeniture and the size of this effect is stable acrossspecifications.

This exercise documents a positive correlation between equal partition and regional economicdevelopment across European regions. To study causality, and to allow for more scrutinous anal-ysis, we continue with a focus on Germany and the state of Baden-Wurttemberg. Here we havemunicipality-level survey data about inheritance practices for several points in time. We also havecollected a novel data set featuring historical variables which allow causal inference, relying onspatial RDD and IV regressions.

9. This is roughly 0.225 km2 at the equator10. The Online Appendix A provides a descriptive overview of the data set (Table A.1), and a detailed explanation of the

sources and definitions of the variables.

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Table 1: Equal Partition and Economic Development in European Grid Cells

Dependent Variable ln(Luminosity)

(1) (2) (3) (4) (5)Equal Partition 0.182** 0.211** 0.201** 0.226**

(0.079) (0.081) (0.078) (0.103)Share Equal Partition 0.189*

(0.106)Elevation (mean) -0.001*** -0.001*** -0.001*** -0.001*** -0.001***

(0.000) (0.000) (0.000) (0.000) (0.000)Soil Suitability (mean) -0.008** -0.008** -0.009** 0.001 -0.009**

(0.004) (0.004) (0.004) (0.003) (0.004)Latitude -0.000 -0.000 -0.000 -0.000

(0.000) (0.000) (0.000) (0.000)Longitude 0.000 0.000 0.000* 0.000

(0.000) (0.000) (0.000) (0.000)Rivers (km) 0.002*** 0.004*** 0.002**

(0.001) (0.001) (0.001)Roman Roads (km) 0.003*** 0.003*** 0.002***

(0.000) (0.001) (0.000)Country Dummies – – – X –250*250km Grid Cell Dummies X X X – XObservations 1,178 1,178 1,178 1,178 1,178R2 0.565 0.569 0.584 0.431 0.583

Notes. Standard errors clustered on the level of 250*250km grid cells are in parentheses. Coefficient is statisticallydifferent from zero at the ***1 %, **5 % and *10 % level. The unit of observation is a grid cell of 50*50km. All regressionsinclude a constant not reported.

IV. DATA FOR BADEN-WURTTEMBERG

1. Inheritance Traditions

The core of our analysis relies on municipality level data on agricultural inheritance traditions inBaden-Wurttemberg as assembled by Rohm (1957). After World War II, the federal state of Baden-Wurttemberg was founded with 3,382 municipalities, each on average only 10.56km2 in size. In1953, Rohm sent a one-page questionnaire to each municipality’s major. Questions included thepredominant inheritance tradition in the municipality at the time, but also its historical origin.Respondents had to decide between a ‘main form’ (Hauptform), primogeniture or equal partition,but could also choose from different transitional and mixed forms. A transitional form could bethat small farms were subject to equal partition, while primogeniture applied for large farms. Healso asked the majors whether their municipality switched from one main form to the other withinthe last hundred years, and if so, which was the ‘original form’. Only 22 municipalities (0.7 % ofall municipalities) experienced such a change in the main form between 1850 and today. Thissuggests that the traditions were relatively persistent.11 If the majors indicated that a transitionalor mixed form was prevalent they were also asked for the ‘original’ form, either primogenitureor equal partition. An outcome of the survey was that there were almost no transitional or mixedforms in 1850. This supports the claim made by many historians that most of the transitional forms

11. In the majority of the switches, municipalities went from equal partition to primogeniture.

12

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have emerged only during the 20th century (Rohm 1957; Krafft 1930; Sering and von Dietze 1930).Based on the information about the origins of mixed forms and about switches in the main formbetween 1850 and 1953, he drew the border (which he called “historical main border of inheritancerules”) between the main forms, which we exploit using a spatial RDD approach. He has drawnthe border in a way that it separates the area in which only equal partition was the originallyprevalent inheritance tradition from the area in which only primogeniture was the original form(with exclaves of the respective other form as exceptions). The downside of this approach is thatit relies on the best knowledge of the majors, and to a minor extent also on their honesty.12 Wecompare his data with other data collected earlier, to be sure that this is not a crucial issue.

The questionnaire also inquired whether commons existed and if so, if they were partitioned. Thesurvey resulted in a map depicting for each municipality, one of nine predominant inheritancetraditions each with a different color or shading (Figure A.1 in the Online Appendix shows theoriginal map). It distinguishes nine inheritance practices however six of them are transitionalforms of primogeniture or equal partition and there is also a mixed tradition. We aggregate thesenine to five different inheritance traditions.13 For the following empirical analysis, we howeverstudy only the impact of one of them, equal partition, compared to all the others.

We use maps on the prevalence of inheritance traditions from 1905 as printed in Krafft (1930),and Sering and von Dietze (1930). They distinguish only between the two basic forms of equalpartition and primogeniture, and mixed traditions. They are based on a survey of the ministry oflaw of Wurttemberg asking notaries about the inheritance traditions prevalent in their jurisdiction.The maps largely confirms the location of the border and standard errors are clustered on countylevel that mixed traditions were less prevalent in 1905.14 We also use the municipality level dataon inheritance traditions in West Germany from Hager and Hilbig (2019) to check the validity ofRohm’s map for Baden-Wurttemberg. These data were also collected by Rohm but put togetherfor an atlas on the inheritance traditions in the whole of West Germany, some years later.

Figure 1(a) shows a map of contemporary West German municipalities and whether they appliedequal partition (blue) or primogeniture (red) in 1953. We base those map on the dataset of theHager and Hilbig (2019) study. Figure 1(b) depicts Krafft’s map from 1905, where equal partitionmunicipalities are blue, primogeniture ones are red and mixed ones are orange. Figure 1(c) showsthe digitized version of Rohm’s map, colorized by inheritance tradition. Primogeniture is the mostfrequent, prevalent in roughly 38 % of all municipalities; transitional and mixed forms apply inaround 1⁄3 of the municipalities. Figures 1(b) and (c) also show that there are several exclaves,municipalities that apply a tradition different from all its neighbors.

12. Eight years after the Nazi time, this could be a bias, because the political debate emphasized primogeniture as the‘true’ Germanic, and therefore superior, tradition.

13. The application of one or the other tradition was not restricted by any laws, the standard German inheritance lawwas that the farm owners would be free in their will. If farmers wished to apply primogeniture they had to register theirfarms in the “Hoferolle”, a trade register for farms, expressing their will that primogeniture law of the respective state isapplied. If they changed their mind, they still could pass the farm in another way. Farms were usually passed down to thechildren during the lifetime of the parents, at parents age around 60 (Krafft 1930), so that the oldest son would be around25 years old (Karg 1932).

14. We also had a look on the maps depicted in Huppertz (1939) and Karg (1932) to get an idea about the accuracy ofRohm’s map. From the comparison, we conclude that Rohm’s map is accurate and the most detailed available.

13

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2. Dependent Variables and Controls

Our data on industrialization, agriculture, employment structure rely on the official municipaland county statistics of Baden-Wurttemberg from 1950 and 1961 (“Gemeinde- und KreisstatistikBaden-Wurttemberg”). The municipal statistics of 1950 also report population in 1939. For infor-mation on part-time farmers, we rely on the municipal statistics from 1971/72 (Statistical Officeof Baden-Wurttemberg 1952, 1964, 1974). These two years are the most chronological closest toRohm’s survey. Not all information is available both in 1950 and 1961 (for example, we only havethe migration balance for 1950). For the baseline analysis, we stick to the situation in 1950, the yearclosest to Rohm’s survey. In both 1950 and 1961, the number of municipalities differs slightly fromthat in 1953, as some few municipalities were merged or created in between.15

To find evidence on internal migration during the industrialization period, we rely on casualty listsfrom the First World War. The casualty lists contain, among other things, the name and residenceof 397,620 fallen and wounded soldiers in each year of the war, and the type of the army unit inwhich the soldier served. The lists contain information on casualties in 3,352 of the overall 3,382municipalities in our data set. They are available from the private website wiki-de.genealogy.netwhich is hosted by the “Verein fur Computergenealogie” (Association of Computer Genealogy)and makes available several different genealogical data sets (also for example historical addressbooks).16 The website offers detailed information on the original documents, their content, andhow they collected, process, and made available their content. It provides a searchable databaseof the content of the original casualty lists that we used to access the information and match thementioned places of residence to the municipalities in our database. It also provides, for eachof the soldiers, a link to a PDF with its entry in the original document. Assuming that soldierwere born in the last decades of the 19th century and conscripted in their hometown, we compareabsolute frequency of family names with their spatial distribution as an indicator of migration inearlier periods, mostly the 19th century. As outlined by Wehler (1995), this is the expected periodof asymmetric emigration we discuss in the theory.

Concerning contemporary data, Asatryan, Havlik, and Streif (2017) provide us with the shareof industry buildings per municipality in 2010 and income per capita in 2006 (the last full yearbefore the world financial crisis) for 1,105 municipalities. We also use the areas of municipality’sindustrial zones, which we extract from openstreetmap.org.17

Our control variables originate from a large variety of data sources. To outline our main variables,the share of a municipality’s area that is used to grow wine or fruits with intensive agriculturewe take from the official municipal statistics of 1961. Data on the location of pre-medieval forestareas were digitized from a map by Ellenberg (1990). Most historical control variables (Distanceto the closest Imperial city, historical political instability and fragmentation, location in churchterritories) we take from Huning and Wahl (2019b). Talbert (2000) provides the distance of a mu-nicipality to the next certain Roman road network. Data on the location of Celtic graves, the geo-

15. For 1971/72, the number of municipalities is much lower (around 1,200) as in 1971, a fundamental reform of theadministrative regions was conducted with the results that a lot of counties and municipalities were merged together andthe number of municipalities decreased by around 2/3. We do also not have each information for all the municipalities,which can also lead to a slightly smaller number of observations than 3,382 in some regressions.

16. The website of this sub-project is http://wiki-de.genealogy.net/Verlustlisten Erster Weltkrieg/Projekt17. Our data represents the state of 10th March 2019, 12pm. We extracted the polygon shapefile by using the QGIS plug-in

QuickOSM.

15

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graphic spread of wine-growing before 1624, of tobacco-growing in 1865, and 19th century railwaylines are taken from maps in the “Historischer Atlas von Baden-Wurttemberg” (Historical Atlasof Baden-Wurttemberg) which we have digitized (Kommission fur geschichtliche Landeskundein Baden-Wurttemberg 1988). The shape of the French occupation zones comes from Schumann(2014).

All the variables are summarized in Table A.2 (for the dataset with municipalities as of 1953) andTable A.3 (for contemporary municipalities) of the Online Appendix.

V. THE CONSEQUENCES OF AGRICULTURAL INHERITANCE TRADITIONS IN

BADEN-WURTTEMBERG

In this section we test our theoretical propositions step by step, using data from the state of Baden-Wurttemberg. We start by introducing our main identification strategy, the spatial RDD using theeastern part of the historical border of the equal partition area. Next, we present evidence on theeffect of equal partition on farm sizes and the structure of the agricultural sector. Then we investi-gate evidence for our theoretical mechanism by analyzing evidence on the effect of equal partitionon the frequency of part-time farming, tobacco-growing and migration patterns. Finally, we fo-cus on the reduced-form effect of equal partition on economic development and industrializationlevels.

1. Identification Strategy

In this section we discuss our identification strategy, the fuzzy spatial RDD design, its assump-tions and challenges which arise in our setting for identification. We also explain our estimationapproach.

1.1 Challenges to Identification

The validity of a spatial RDD rests on three assumptions. The border is drawn in an (economically)unsystematic way, there is no compound treatment, and there is no selective sorting (manipula-tion of the running variable). Of those three, the first two are the most critical in our context.18

The most crucial assumption is that the border is not endogenous to any unobserved factors andhence not drawn systematically. We cannot proof the validity of this assumption, but we can testwhether relevant observables vary smoothly at the border. If this is not the case, it shows that theborder is systematic, meaning it is located in an area where relevant characteristics change discon-tinuously. As depicted in Figure 1(c), the border in the southeast, shaped like an inverted U, isalmost identical to the Black Forest. This border reflects discontinuous changes in other variables,such as elevation and other characteristics of relevance. Therefore, we take out this border fromthe analysis. We also exclude the small, northern primogeniture area, since it has a long borderwith another state, Hesse. What remains is the eastern part of the border, stretching roughly fromthe south to the north of Baden-Wurttemberg, with a slight eastern-wards tendency. Rohm (1957)

18. Selective sorting usually is an important issue when people are aware of the fact that treatment occurs at a certainvalue of the running variable, i.e. income or can manipulate their own values of the running variable accordingly leading toa higher density of observations around the threshold. In our case, the observations are municipalities and not individualsand the border is fuzzy and implicit making it unlikely that this is a big issue.

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already noted that apparent geographical or historical features cannot explain this segment of theborder.

Regarding the determinants of the border, Schroder (1980) and Huppertz (1939) argue that cul-tural diffusion and imitation played a decisive role in the spread of equal partition in particular.Schroder (1980) develops the argument that equal partition occurred first in the wine-growing ar-eas, either as original development —or as suggested by others, based on Germanic traditions orRoman ideas of property—and spread from there fast in a classical process of cultural diffusionthrough imitation.19 The presence of exclaves, and a lot of transitional forms along the border thatis suggested by the results of Huning and Wahl (2019a) support this reasoning.20 Schroder (1980)further backs this argument by showing that equal partition emerged spontaneously in some ar-eas of the duchy of Wurttemberg. Together with the fact there seems to be no discontinuities innatural factors like soil quality or elevation along the border, this suggests that the historical bor-der resulted from idiosyncratic circumstances, which put historical diffusion in the municipalitiesnowadays located along the border on halt. Residuals from a regression in our companion paper(Huning and Wahl 2019a), where we explain the equal partition area support this notion too.21

Figure A.2 in the Online Appendix visualizes them. Darker shades of red display higher residu-als. The residuals of the prediction are largest around the border, implying that this area is amongthe locations in which we can predict equal partition least good.

For the eastern border segment, we show that relevant observables are continuous. We run spa-tial RDD estimations for a five and a ten kilometer buffer area around the border and also for themunicipalities immediately to the left and right of the border only. As running variable, we intro-duce a linear distance polynomial measuring distance to the border. We cluster standard errors oncounty level. We consider ten relevant, geographic, ancient, medieval and contemporary variablesas dependent ones. Among those are all the variables significantly predicting the equal partitionarea in Huning and Wahl (2019a) and, additionally the share of Protestants in 1950. Figure 2 re-ports the results. It shows the coefficient of the equal partition area dummy and 95 % confidenceintervals. We do not detect a significant discontinuity of these variables at the border.22 This re-assures us that at least a specification with only comparing municipalities directly at the borderleads to a valid spatial RDD.

No compound treatment means that the border between the equal partition and the primogenitureareas is not identical to any other existing or historical border of relevance. To show that this is thecase, Figure 3(a) depicts the eastern part of the equal partition border and the area of the three pre-decessor states of Baden-Wurttemberg (Baden, Hohenzollern, and Wurttemberg). The border isdifferent to one of those states and in fact cuts right through the middle of both Wurttemberg (darkblue) and Hohenzollern (light blue) with small but significant share of territory in the southeast ofBaden (gray). It is also not identical to the border of the French occupation zone after World War

19. We discuss this idea and empirically test it in Huning and Wahl (2019a).20. Rohm (1957) puts it differently in saying that from today’s perspective inheritance traditions seem to result from

arbitrariness and randomness. From a historical perspective, he argues, they seem to be characteristics of the cultural ofthe area, which are transmitted from generation to generation.

21. The residuals originate from an OLS estimation of the probit regression in Table 5, column (4) of the companion paper.22. In the case of soil quality, the equal split area dummy would become significant at 10 % level when focusing on

the border municipalities only. The marginally significant coefficient however would then be just because of two smallmunicipalities on the primogeniture side of the border that have extremely low soil quality values. If we remove those twomunicipalities, the coefficient turns insignificant.

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II (the bold black line). Despite this, we include a dummy for municipalities in the French Zone toall the regressions. The border is also distinct from to the course of the two relevant rivers, Rhineand Neckar—although its course to some extent mirrors those of the Neckar flowing in the middleof the state. To rule out that this biases our results, we control for distance to Rhine and Neckar inour spatial RDD specifications.

Figures 3(b) and (c) overlay the borders of historical states in Baden-Wurttemberg in 1648 (afterthe Peace of Westphalia) and 1789 (close to the French Revolution). They also show the locationof Imperial cities (red) and ecclesiastical territories (blue). We can infer from those figures that theborder is also not identical to those of historical states, especially not to important ones that arerelevant for inheritance traditions like the historical Duchy of Wurttemberg (which was the largestate in the center of the area). We nevertheless include a dummy for municipalities in the Duchy ofWurttemberg in 1789, and as a robustness check, a complete set of historical state dummies.

Note: The figures show coefficients of the equal partition area dummy resulting from spatial RDD regressions for several bandwidth anddependent variables using a linear distance polynomial. In the case of the border municipalities sample, the coefficient is just the result of abivariate OLS regression. The shown confidence intervals are 95 % confidence intervals.

Figure 2: Testing for Discontinuities in Observables at the Border

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(a) The Eastern Historical Main Bor-der of Inheritance Practices, HistoricalStates and Major Rivers

(b) The Historical Border and States1648

(c) The Historical Border and States1789

Note: Figure (a) shows the eastern part of the historical border of the equal partition, and the borders of the historical states formingBaden-Wurttemberg (Baden, Hohenzollern and Wurttemberg) and two major rivers Rhine and Neckar. Figures (b) and (c) show the easternborder of equal partition and the historical states in 1648 (a) and 1789 (b), and secular states are depicted in gray, city states in red, andecclesiastical states in blue.

Figure 3: Maps of important control variables on historical borders and rivers

1.2 Estimation Approach

Intuitively, the idea of our identification strategy is to model municipal economic development asfunction of distance to the border. If equal partition has a positive effect, we expect a significantupward shift in the intercept of that function at the border. We estimate this shift in the interceptusing a spatial RDD approach or Boundary Discontinuity Design (BDD). A BDD is a special case ofa standard RDD but with a two-dimensional forcing variable (Keele and Titiunik 2014). Because ofthe transitional forms, we estimate a fuzzy BDD. This allows us to use the course of the border toidentify municipalities located either in the equal partition area or in the primogeniture area. Wethen use this variable to instrument actual prevalence of equal partition with location in the equalpartition area. A fuzzy BDD amounts to estimating a standard 2SLS model including a variablemeasuring the distance from each municipality to the closest border segment. We estimate thefollowing equations:

EqualPartitions,m =α1 + β1EqualPartitionAreas,m + f(Dm) + γ′1Xs,m + δs + εs,m (5a)

Outcomes,m =α2 + β2 EqualPartitions,m + f(Dm) + γ′2Xs,m + ζs + ηs,m (5b)

Where EqualPartitionAreas,m is a binary variable that indicates whether municipality m in bor-der segment s was located in the historical area of equal partition inheritance practices. This vari-able is used as instrument for the potentially endogenous dummy EqualPartitions,m which isequal to one if a municipality applied equal partition of agricultural inheritance by 1953. Heref(Dm) is a flexible linear function of the geodesic distance of each municipality’s border to theclosest point on the eastern part of the historical border. ‘Flexible’ means that we allow the dis-tance polynomial to differ in the treated and non-treated area by interacting the distance termswith the treatment variable. Outcomes,m are various socio-economic outcome variables in border

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segment s in 1950. The outcomes we study are the population and industry firm density (firmsper hectare) as measures for municipal industrialization, as well as industrial and agriculturalemployment shares as measures of structural change.

Xs,m is a vector of control variables. As control variables we include geographic and histori-cal variables. In general, these are meant to control for confounding variation representing thepotential determinants of agricultural inheritance traditions and economic development.23 Con-sequently, among them are measures of past levels of development, urbanization and settlementpatterns, but also variables capturing the historical political environment. The included historicalcontrol variables are distance to the closest Imperial city as of 1556 and to the next Roman road, adummy variable for municipalities with at least one Celtic grave, historical political fragmentationand instability, the share of a municipalities total area that is located in ecclesiastical territories in1556, pre-medieval forest areas, the share of Protestants in 1961 and a dummy for municipalitieswhich belonged to the Duchy of Wurttemberg in 1789.

The geographic covariates include mean elevation, terrain ruggedness, soil suitability and theshare of agricultural area used to grow wine and fruits in 1961, and distance to Rhine or Neckar.Again, these factors are very likely affecting both economic development as well as inheritancetraditions through various channels (e.g., conditions for agriculture). We also add a measurefor distance to the closest urban center (either Freiburg, Heidelberg, Karlsruhe, Mannheim orStuttgart).

Schumann (2014) shows that the occupational zones led to discontinuous population growth untilthe 1970s, because the French prohibited immigration of German refugees. To account for this, weinclude a dummy variable equal to one if a municipality was located in the French OccupationZone after World War II.

Some of these control variables are potentially bad controls (for example, distance to urban cen-ters). Nevertheless, they are also potentially important factors to be controlled for. We presentresults without control variables to ensure that the bad controls do not decisively affect our re-sults. All results would hold without these potential bad controls. δs and ζs represent five bordersegment fixed effects.

As a starting point, we also present the results of OLS estimations with the mentioned dependentvariables and controls for the whole sample of municipalities in the Online Appendix, sectionA.4.1, Table A.12. They show a significant and positive influence of equal partition on municipaleconomic development in all the cases.

The standard spatial RDD, using geodesic distance to the border as running variable, has the re-striction that it does not take into account that municipalities with the same geodesic distanceto border can be far away from each other (because the north-south direction is not taken into ac-count). Introducing border segment fixed effects does already mitigate this problem. Additionally,we follow Dell (2010) and treat the border as a two-dimensional threshold to control for the exactgeographic location of a municipality (its longitude and latitude). We modify the 2SLS estimationas follows:

23. Our companion paper (Huning and Wahl 2019a) studies the determinants of equal partition. The results from thispaper are the basis for selecting the control variables included here.

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EqualPartitions,m =α1 + β1EqualPartitionAreas,m + f(xm, ym) + γ′1Xs,m + δs + εs,m (6a)

Outcomes,m =α2 + β2 EqualPartitions,m + f(xm, ym) + γ′2Xs,m + ζs + ηs,m (6b)

With f(xm, ym) we have a flexible function of a municipalities minimum longitudinal and latitu-dinal coordinates (xm and ym). We use a linear coordinates polynomial.24

We apply a semi-parametric operationalization of the fuzzy BDD, using three different band-widths (buffer areas) around the border for the estimation of the sample. These are ten and fivekilometers, and lastly only municipalities directly at the western and eastern side of the border.Figure 4(a) shows the estimation samples corresponding to the three different buffer areas. Fig-ure 4(b) shows which municipality is assigned to which of the five border segments. We clusterthe standard errors on county level to account for likely spatial correlation of inheritance prac-tices, and outcomes. In robustness checks, we also show that the results are robust to the use ofquadratic distance polynomials. We exclude exclave municipalities of the respective other inheri-tance practice from all estimations.

To test further our theory, we also investigate that the effects of inheritance tradition persist even ifthe agricultural sector today is of minor economic relevance. It is also worthwhile to rule out thatidiosyncrasies of the 1950s drive our results. After all, the sectoral transition out of agriculture inour area of interest is today almost completed.

We cannot replicate the analysis for 1950 for contemporary municipalities and economic outcomes.First, there are no data on the prevalence of inheritance traditions today. It is however likelythat they persist. For example, Hager and Hilbig (2019) conducted qualitative interviews withpresent-day German farmers and found that most of them carry on with their traditional way ofinheritance. Regarding the existence and increasing frequency of transitional and mixed formsduring the early 20th this might not be the case. Second, the number of municipalities has been,after an administrative reform in the 1970s, reduced to around a third of their number in 1953.As such, we use a different approach for the contemporary analysis. We assume the historicalborders of equal partition, and assign each of today’s municipalities if over 90 % of their areatoday intersect with the historical inheritance area.

We then run a standard sharp BDD using the equal partition area dummy as treatment indicator,and estimate the following equation when using distance to the eastern border as forcing vari-able:

Outcomes,m =α+ βEqualPartitionAreas,m + f(Dm) + γ′Xs,m + δs + εs,m (7)

As previously, an alternative specification includes a linear polynomial in a municipality’s latitudeand longitude as forcing variables, which modifies equation 7 to look like this (with f(xm, ym)

again being the coordinates polynomial):

24. The polynomial has the following form: f(x, y) = x+ y + xy.

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Outcomes,m =α+ βEqualPartitionAreas,m + f(xm, ym) + γ′Xs,m + δs + εs,m (8)

This sharp BDD relies on the idea that no changes in the basic form have occurred since the 19th

century. As we can assume that such changes and transitions happened, but likely because ofendogenous reasons, the sharp BDD relies on an intention-to-treat model, and provides us witha lower bound estimate of the effect. It assumes that municipalities are still treated with equalpartition that today likely have transitional forms—which should have smaller or no effects.

(a) Buffer Areas around the Eastern Main Border (b) Border Segments around the Eastern Main Border

Note: These figures show the eastern part of the historical border of equal and unequal partition inheritance areas. In panel (a)municipalities to the left and right of the border are depicted in gray, those five kilometers away from the border are depicted in light-blueand those ten kilometer away in dark-blue. Panel (b) shows how municipalities in the buffer area are assigned to one of five bordersegments to which they are closest.

Figure 4: Buffer Areas and Border Segments around the Historical Main Border of Inheritance Practices

We include the same control variables (included in Xs,m) as in the previous analysis for the 1950s.25

We choose a larger maximum and minimum bandwidth of 25 and five kilometer for our analy-sis, as the number of observations is lower today than it was in 1950. Unlike before, we do notcluster the standard errors on county level. The number of counties is so low today that clus-tering is not feasible anymore (in the case of five kilometer buffer area we would have just 18clusters/counties).

We use the share of industrial buildings among all buildings in a municipality in 2010 and thenatural logarithm of income per capita in 2006 as dependent variables. We also consider the shareof industrial area in a municipality’s total area as of March 2019.

25. We do not include however, the share of Protestants in 1950 and the share of agricultural areas used to grow wine andfruits.

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2. Consequences of Equal Partition for the Structure of the Agricultural Sec-tor

Consider the consequences of inheritance traditions on the structure of agriculture in the 1950s.Table 2 shows the results of estimating equation 5 with border segment fixed effects and no othercontrols. We estimate the BDD for a ten kilometer buffer area around the eastern border of theequal partition area. We include four different dependent variables, including two measures offarm size (share of large farms and farms per hectare), the share of helping family members in allemployees in 1950, and common land as reported by Rohm (1957). Rohm (1957) argues that com-mon lands are more frequent in equal partition municipalities as they make it easier to maintainit. As expected, farms are on average significantly smaller in the equal partition area, there arefewer family members working on the farms and the probability that common land is present ina municipality is significantly higher. The F-value of the equal partition area dummy in the firststage is very high all the time and well above the commonly used threshold of ten. This makes ita likely candidate for an instrument.

Table 2: Equal Partition and its Consequences for the Structure of Agriculture in Baden-Wurttemberg in1950

Dependent Variable Share ofFarms>40ha

Farms per Acre Share of HelpingFamily Members 1950

Commons

(1) (2) (3) (4)Buffer Area 10km around the borderEqual Partition -0.543*** 14.42*** -0.121*** 0.567***

(0.124) (3.889) (0.0348) (0.179)Linear Dist. Polynomial Yes Yes Yes YesBorder Segment FEs X X X XF-Value of Excluded IV 50.48 50.48 50.35 50.46Observations 869 869 869 870

Notes. Standard errors clustered on county (Landkreis) level are in parentheses. Coefficient is statistically different from zero atthe ***1 %, **5 % and *10 % level. The unit of observation is a municipality in 1953. The F-Value of Excluded IVs refers to theF-values of the equal partition area dummy as instrument for equal partition in 1953 on the first stage.

3. Evidence on Mechanisms

In this section we present empirical evidence for the theoretical mechanisms through which equalpartition should affect industrialization and structural change. First, we look at the prevalence ofpart-time farming and tobacco growing as indications of the intensity of rural industrial activities,then we present evidence on historical mobility patterns and the migration balance per capita ofmunicipalities in 1950.

3.1 Consequences of Equal Partition for the Prevalence of Part-time Farming and Tobacco-Growing

It is essential for our argument that the putting-out system was more widespread in the equalpartition area than in the areas of primogeniture. We cannot test that directly, but we have datafrom the early 1970s, which allow us to test whether there are more part-time farmers in the equalpartition area. If this is true, it would imply that those part-time farmers also work as craftsmen or

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in the industrial sector when they do not engage in agricultural activities (e.g., during the winter).As this argument is essential for our story, we test this by running the fuzzy BDD as in the sectionbefore, but this time we also include control variables and use a linear coordinates polynomialas additional forcing variable. We rely on the ten kilometer buffer to keep up the number ofobservations.

Table 3 shows the results. The upper panel presents the results using distance to the border asforcing variable, and the lower panel reports the results with geographic coordinates as forcingvariable. The first column of the upper panel reports the coefficient of a standard 2SLS regressionwithout a forcing variable and using all municipalities for which we have data. Column (2) showsBDD estimates without controls and column (3) with controls. In the first three columns, the over-all share of part-time farmers in all farmers of a municipality in 1972 is the dependent variable, incolumn (4) we additionally inspect the share of the category of ‘mainly part-time farmers’.

In all the estimations, the share of part-time (or mainly part-time) farms is statistically significantlyhigher than in the equal partition area. Most conservatively, the results imply a share that is onaverage around 12 % (column 1). This provides robust empirical support for our argument linkingequal partition to the putting-out system, and part-time farming.

Table 3: Equal Partition and Part-time Farmers in Baden-Wurttemberg in 1972

Dependent Variable Part-timeFarmers (Share)

Mainly part-timefarmers (Share)

(1) (2) (3) (4)Buffer Area All Obs. 10km 10km 10km

Panel A: Linear Distance PolynomialEqual Partition 0.120*** 0.218*** 0.233*** 0.459***

(0.016) (0.079) (0.09) (0.103)F-Value of Excluded IV 921.86 40.99 29.85 40.11

Panel B: Linear Coordinates PolynomialEqual Partition 0.122*** 0.191*** 0.275*** 0.429***

(0.02) (0.053) (0.085) (0.065)F-Value of Excluded IV 604.05 80.67 29.06 83.27Border Segment FEs X X X XGeographic Controls – – X –Historical Controls – – X –French OZ Dummy – – X –Distance to Urban Center – – X –Intersects Major Railway – – X –Intersects Minor Railway – – X –Observations 1,114 316 314 322

Notes. Standard errors clustered on county (Landkreis) level are in parentheses. Coefficient is statisticallydifferent from zero at the ***1 %, **5 % and *10 % level. The unit of observation is a municipality in1953. All regressions include a constant not reported. Geographic controls include mean elevation, terrainruggedness and soil suitability as well as the share of agricultural area used to grow wine and fruits in1961, and distance to Rhine or Neckar. Historical controls encompass distance to the closest Imperial cityas of 1556, distance to the next certain Roman road, a dummy variable for municipalities with at leastone Celtic grave, historical political fragmentation and instability, the share of a municipalities area that islocated in ecclesiastical territories in 1556, pre-medieval forest areas, the share of Protestants in 1961 and adummy for municipalities which belonged to the Duchy of Wurttemberg in 1789.

Another peace of evidence comes from the tobacco industry, a classical example of a proto-idustry

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that relied on a putting-out system. Part-time home workers collected filler tobacco as well aswrappers and were paid by handrolled cigars upon their return. This work was low-skill andwage work. Tobacco arrived in Germany not before the late 16th century but was not widelygrown before the Thirty Years War (Nuske 1977). It was planted close to the locations of tobaccoproducers to save transport costs. We have data on the prevalence of tobacco farming in Baden-Wurttemberg for the year 1865. The likelihood that tobacco was produced in an equal partitionmunicipality (24.5 %) was roughly 18.5 percentage points higher than in a primogeniture munici-pality (6.2 %).26

3.2 Consequences of Equal Partition on Migration Patterns

Our theoretical argument links equal partition with local economic development. It crucially de-pends on different mobility and migration behavior of people from the equal partition and pri-mogeniture area. People in the equal partition area have less mobile wealth as almost all of themhave at least some land. People in the primogeniture area, to the contrast, either have a lot of land,making them comparatively rich farmers, or, if they are not the oldest son, they have no land atall but inherited some money as compensation. As money is perfectly mobile, these people areusually moving away from their home village to either a larger city or another village. When in-dustrialization took-off, and there was a growing demand for non-agricultural labor, it first movedto the location of demand, meaning equal partition villages. There, people had small farms andhappily began to work in the putting-out system to gain additional income, eventually becomingpart-time farmers.

We already have shown that there is a positive relationship between the municipal migration bal-ance per capita and equal partition (see Table 5), which is first evidence in favor of this being true.In this section, we use casualty lists from World War Ito show that historically, the mobility of thepopulation in the equal partition area was lower than in the primogeniture area.

We are especially interested in the family names of the soldiers. In total, the 397,620 soldiershad 30,645 different family names. They enable us to proxy the overall distribution of familynames among municipalities in Baden-Wurttemberg in the early 20th century. Many of these fam-ily names are names of places, presumably where the first holders of the name originated from(e.g. people called “Esslinger” are descendants of people that lived in the city of Esslingen), oremerged in one particular place or region. Given this fact, the spatial distribution of family namescan inform us about historical migration patterns within today’s Baden-Wurttemberg. If a nameis prevalent in more municipalities than another one, it indicates that the holders of the namemoved around more than others. This is only true if one controls for the overall frequency of thename as both variables are mechanically linked—very frequent names like “Muller” or “Maier”are found everywhere. Furthermore, highly frequent names could not have been frequent only be-cause of migration but, for example, because they refer to occupations that were widely commonand existed everywhere like a miller (“Muller”) or a smith (“Schmied”).

Table 4 shows Poisson regressions with the number of municipalities in which a particular familyname is present as dependent variable, and the share of this family name in the historical equalpartition area as left-hand side variable of interest. In these regressions, the unit of observation

26. The difference is statistically significant at 1 % level with a t-value=-15.82

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is a family name and we obtain it by collapsing the original lists first by municipality and familyname, and then, a second time, by family name only. In column (1), no controls are included andwe just report the bivariate relationship between both variables. We then sequentially add morecontrols, starting with the total number of list entries per municipality, proxying a municipality’spopulation, and the overall number of casualties with this family name in Baden-Wurttemberg.Next, we add geographical controls capturing how isolated places with a particular family namewere and how good the conditions for agricultural activities have been there. We also include theaverage latitude or longitude of the municipalities with a respective name, capturing the fact thatsome names might have been clustered in certain regions due to factors we cannot account for.We also add (column (4)) distance to Roman roads and Imperial cities capturing costs of migratingto cities, the degree of interaction between rural and urban places, and again, the remoteness of aplace. To rule out a bias arising from different casualty rates in different parts of the German army,we control for the share of soldiers with a certain family name serving in the infantry, artillery, ora reserve unit. It can be that soldiers from remote areas were considered to be “cannon fodder”.This would have led to soldiers from remote areas being over-represented in the first stage ofrecruitment in 1914. We control for this with the mobilization rate in 1914. 27 The results with this,full set of controls are visible in column (5) and are similar to the ones before.

Therefore, the results in Table 4 suggest that the historical population movements in Baden-Wurttembergare in line with our theoretical predictions, confirming that equal partition had indeed the effectof demobilizing the citizens. This demobilization then had the consequence of bringing the laborto them instead of them to the labor.

Finally, one has to note that family names began to emerge during the early modern period. There-fore, the spatial distribution of family names at the end of the 19th century is the result of century-long migration movements, suggesting that inheritance traditions indeed were historically verystable and did not change frequently.

Another way to test our predictions about migration patterns is to look at the per capita migrationbalance of each municipality. We estimate a BDD with the municipal migration balance per capitain 1950 as dependent variable (Table 5). In column (1) we show the BDD with only border segmentfixed effects added to the distance or coordinates polynomial. In the other columns, we includethe full set of controls. We find our expectations confirmed as the per capita migration balanceof equal split municipality is on average significantly more positive (by around 1 to 2 %) than ofmunicipalities that applied another inheritance tradition. These 2 % are roughly correspondingto an increase by one standard deviation of the per capita migration balance and thus, this is anon-negligible effect.

27. A descriptive overview of the family name level data set can be found in the Online Appendix in Table A.4.

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Table 4: The Frequency of Family Names and Equal Partition

Dependent Variable No. of Municipalities with this Family Name

(1) (2) (3) (4) (5)Method PoissonShare of Entries in Equal Partition Area -0.3826*** -0.1933*** -0.0560*** -0.0376* -0.0599***

(0.016) (0.016) (0.019) (0.02) (0.02)No. of Entries per Municipality – X X X XTotal Entries with this Family Name – X X X XGeographic Controls – – X X XHistorical Controls – – – X XArmy Type Shares – – – – XMobilization Rate 1914 – – – – XObservations 30,649 30,649 30,645 30,645 30,645Pseudo R2 \R2 0.011 0.201 0.204 0.204 0.205

Notes. Heteroskedasticity robust standard errors are in parentheses. Coefficient is statistically different from zero at the ***1 %, **5% and *10 % level. The unit of observation is a family name. All regressions include a constant not reported. The set of geographiccontrols includes mean elevation, terrain ruggedness and soil quality, as well as distance to Rhine and Neckar. Historical controls aredistance to the next certain Roman road and to the closest Imperial city.

Table 5: Equal Partition and Inter-regional Migration in Baden-Wurttemberg in 1950

Dependent Variable MigrationBalance p.c. 1950

(1) (2) (3) (4)Buffer Area 10km 10km 5km Border Munics

Panel A: Linear Distance PolynomialEqual Partition 0.017** 0.01 0.02** 0.019**

(0.008) (0.006) (0.008) (0.01)F-Value of Excluded IV 54.47 53.75 35.41 18.83

Panel B: Linear Coordinates PolynomialEqual Partition 0.012** 0.006 0.011** 0.016*

(0.005) (0.004) (0.005) (0.01)F-Value of Excluded IV 108.32 77.73 59.79 17.83Observations 842 839 569 261Border Segment FEs X X X XGeographic Controls – X X XHistorical Controls – X X XFrench OZ Dummy – X X XDistance to Urban Center – X X XIntersects Major Railway – X X XIntersects Minor Railway – X X X

Notes. Standard errors clustered on county (Landkreis) level are in parentheses. Coefficient isstatistically different from zero at the ***1 %, **5 % and *10 % level. The unit of observation is amunicipality in 1953. All regressions include a constant not reported. Geographic controls includemean elevation, terrain ruggedness and soil suitability as well as the share of agricultural areaused to grow wine and fruits in 1961, distance to Rhine or Neckar. Historical controls encompassdistance to the closest Imperial city as of 1556, distance to next certain Roman road, a dummyvariable for municipalities with at least one Celtic grave, historical political fragmentation andinstability, the share of a municipalities total area that is located in ecclesiastical territories in 1556,pre-medieval forest areas, the share of Protestants in 1961 and a dummy for municipalities whichbelonged to the Duchy of Wurttemberg in 1789.

27

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4. Consequences of Equal Partition for Industrialization and Structural Change

In the next step, we investigate the effects of equal partition on industrialization and structuralchange. First, we focus on its impact on measures of industrialization and urbanization, i.e. pop-ulation density and (non-agricultural) firms per hectare. We estimate the same BDD specificationas in Table 3, but we also consider a smaller, five kilometers buffer area and look only at munic-ipalities immediately to the east and west of the border. Table 6 shows the results of these BDDestimations. The first half of the table shows the results for our two measures of industrialization.Columns (1) to (4) report the results for the natural logarithm of population density and columns(5) to (8) for ln firms per hectare. All results indicate that the equal partition area is both econom-ically and statistically significantly more industrialized than the primogeniture area. The mostconservative estimations, where we consider the border municipalities and include all controls(columns (4)), suggest that on average the population density of an equal partition municipalityis around 84 % higher than that of a primogeniture municipality. Reassuringly, the results do notdepend on whether one uses a distance or a coordinates polynomial, underlining their robustnessto a more precise modeling of geographic location.

In the second half of Table 6, we analyze the effect of equal partition on structural change andindustry structure. We estimate the same BDD regressions, but now the dependent variables arethe share of employees in industry and agriculture. We find equal partition to be positively andsignificantly related to structural change, as the share of workers in industry is at 10 to 20 % higherin equal partition municipalities. The coefficients are almost unchanged by different bandwidthchoice, inclusion of control variables or different polynomials, again showing a robust effect ofequal partition on the structure of the economy.

Now we move to the investigation of contemporary municipalities and economic outcomes. Ta-ble 7 shows the results of the sharp BDD. For all three outcomes, share of industry buildings in2010 (columns (1)–(3)), share of industrial area in 2019 (columns (4)–(6)), and income per capitain 2006 (columns (7)–(9)), we find a positive and statistically and economically significant effectof being in the equal partition area. Municipalities in the historical equal partition area have onaverage an income per capita around 4 % larger than those in the primogeniture area (columns(7)–(9)). The smallest coefficient implies that in the equal partition area income per capita in 2006was around 598 euros higher on average—which is over one third of the overall difference in percapita income between both regions.28 Given that the equal partition area has around 7.4 millioninhabitants in 2006, this amounts to an extra of 4.4 billion euros of income in total. The share ofindustry buildings (columns (1)–(3)) is around 0.04 percentage points larger which might seemsmall, but is a sizable effect as the average municipality has a share of 1.2 % of industry buildings(the maximum is 14.5 %). The share of industrial area is on average 30 percentage points larger,which also is a large effect.

To conclude our results, the historical equal partition area is better developed a more industrializedthan the primogeniture area to the day, even though the agricultural sector and its inheritancetraditions make up only a small share of the economy. Hence, inheritance traditions have ledtheir respective areas onto different paths to development which they are wandering on to theday.

28. Results of those regressions are not shown to save space. They are available upon request. The average difference inper capita income between the equal partition and primogeniture area in 2006 is 1,590 euros.

28

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EQUAL PARTITION AND REGIONAL DEVELOPMENTTa

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48.4

134

.34

18.4

350

.48

48.4

134

.34

18.4

3Pa

nelB

:Lin

ear

Coo

rdin

ates

Poly

nom

ial

Equa

lPar

titi

on1.

018*

**0.

618*

**0.

762*

**0.

837*

*0.

973*

**0.

641*

**0.

786*

**0.

969*

*(0

.252

)(0

.210

)(0

.218

)(0

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)(0

.224

)(0

.225

)(0

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)(0

.464

)F-

Val

ueof

Excl

uded

IV96

.48

68.5

458

.09

17.5

796

.60

68.5

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7O

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ons

868

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869

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Stru

ctur

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ble

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stry

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icul

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lA:L

inea

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nom

ial

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lPar

titi

on0.

174*

**0.

158*

*0.

172*

*0.

205*

*-0

.218

***

-0.1

54**

-0.1

63*

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12**

(0.0

64)

(0.0

67)

(0.0

78)

(0.0

85)

(0.0

66)

(0.0

74)

(0.0

86)

(0.0

91)

F-V

alue

ofEx

clud

edIV

50.4

848

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34.3

418

.43

50.4

848

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34.3

418

.43

Pane

lB:L

inea

rC

oord

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esPo

lyno

mia

lEq

ualP

arti

tion

0.14

4***

0.11

1**

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0.16

8**

-0.1

70**

*-0

.110

**-0

.115

**-0

.184

**(0

.046

)(0

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)(0

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)(0

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)(0

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3)(0

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)(0

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)F-

Val

ueof

Excl

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IV96

.60

68.5

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.09

17.5

796

.60

68.5

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.09

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7O

bser

vati

ons

869

865

586

267

869

865

586

267

5Bo

rder

Segm

entF

ixed

Effe

cts

XX

XX

XX

XX

Geo

grap

hic

Con

trol

s–

XX

X–

XX

XH

isto

rica

lCon

trol

s–

XX

X–

XX

XFr

ench

OZ

Dum

my

–X

XX

–X

XX

Dis

tanc

eto

Urb

anC

ente

r–

XX

X–

XX

XIn

ters

ects

Maj

orR

ailw

ay–

XX

X–

XX

XIn

ters

ects

Min

orR

ailw

ay–

XX

X–

XX

XN

otes

.Sta

ndar

der

rors

clus

tere

don

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ty(L

andk

reis

)lev

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ein

pare

nthe

ses.

Coe

ffici

enti

sst

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tica

llydi

ffer

entf

rom

zero

atth

e**

*1%

,**5

%an

d*1

0%

leve

l.T

heun

itof

obse

rvat

ion

isa

mun

icip

alit

yin

1953

.A

llre

gres

sion

sin

clud

ea

cons

tant

notr

epor

ted.

Geo

grap

hic

cont

rols

incl

ude

mea

nel

evat

ion,

terr

ain

rugg

edne

ssan

dso

ilsu

itab

ility

asw

ella

sth

esh

are

ofag

ricu

ltur

alar

eaus

edto

grow

win

ean

dfr

uits

in19

61,a

nddi

stan

ceto

Rhi

neor

Nec

kar.

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tori

calc

ontr

ols

enco

mpa

ssdi

stan

ceto

the

clos

estI

mpe

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city

asof

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,dis

tanc

eto

next

cert

ain

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ad,a

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my

vari

able

for

mun

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alit

ies

wit

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tic

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e,hi

stor

ical

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men

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din

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ility

,the

shar

eof

am

unic

ipal

itie

sto

tala

rea

that

islo

cate

din

eccl

esia

stic

alte

rrit

orie

sin

1556

,pre

-med

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lfor

esta

reas

,the

shar

eof

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esta

nts

in19

61an

da

dum

my

for

mun

icip

alit

ies

whi

chbe

long

edto

the

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hyof

Wur

ttem

berg

in17

89.

29

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EQUAL PARTITION AND REGIONAL DEVELOPMENT

Tabl

e7:

Equa

lPar

titio

nan

dC

onte

mpo

rary

Mun

icip

alD

evel

opm

enti

nBa

den-

Wur

ttem

berg

Dep

ende

ntV

aria

ble

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eof

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stry

Build

ings

2010

Shar

eof

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stri

alA

rea

2019

ln(I

ncom

epe

rca

pita

2006

)

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

Buff

erA

rea

25km

15km

5km

25km

15km

5km

25km

15km

5km

Pane

lA:L

inea

rD

ista

nce

Poly

nom

ial

Equa

lPar

titi

on0.

0045

***

0.00

25*

0.00

43**

*0.

286*

*0.

286*

*0.

307*

*0.

0464

***

0.04

81**

0.03

77*

(0.0

01)

(0.0

01)

(0.0

01)

(0.1

17)

(0.1

17)

(0.1

18)

(0.0

17)

(0.0

19)

(0.0

23)

R2

0.28

00.

314

0.33

40.

160

0.16

50.

246

0.57

20.

614

0.61

2Pa

nelB

:Lin

ear

Coo

rdin

ates

Poly

nom

ial

Equa

lPar

titi

on0.

0044

***

0.00

32**

0.00

35**

0.28

4**

0.27

6**

0.22

8*0.

0658

***

0.05

65**

*0.

0393

*(0

.001

)(0

.001

)(0

.001

)(0

.111

)(0

.121

)(0

.127

)(0

.016

)(0

.019

)(0

.022

)R

20.

315

0.32

40.

360.

169

0.17

70.

250.

425

0.45

30.

522

5Bo

rder

Segm

entF

EsX

XX

XX

XX

XX

Geo

grap

hic

Con

trol

sX

XX

XX

XX

XX

His

tori

calC

ontr

ols

XX

XX

XX

XX

XFr

ench

OZ

Dum

my

XX

XX

XX

XX

XD

ista

nce

toU

rban

Cen

ter

XX

XX

XX

XX

XO

bser

vati

ons

537

375

211

537

375

211

537

375

211

Not

es.

Stan

dard

erro

rscl

uste

red

onco

unty

(Lan

dkre

is)l

evel

are

inpa

rent

hese

s.C

oeffi

cien

tis

stat

isti

cally

diff

eren

tfro

mze

roat

the

***1

%,*

*5%

and

*10

%le

vel.

The

unit

ofob

serv

atio

nis

am

unic

ipal

ity

in19

53.

All

regr

essi

ons

incl

ude

aco

nsta

ntno

trep

orte

d.G

eogr

aphi

cco

ntro

lsin

clud

em

ean

elev

atio

n,te

rrai

nru

gged

ness

and

soil

suit

abili

tyas

wel

las

the

shar

eof

agri

cult

ural

area

used

togr

oww

ine

and

frui

tsin

1961

,and

dist

ance

toR

hine

orN

ecka

r.H

isto

rica

lcon

trol

sen

com

pass

dist

ance

toth

ecl

oses

tIm

peri

alci

tyas

of15

56,d

ista

nce

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xtce

rtai

nR

oman

road

,adu

mm

yva

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rm

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ipal

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ith

atle

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neC

elti

cgr

ave,

hist

oric

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litic

alfr

agm

enta

tion

and

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ty,t

hesh

are

ofa

mun

icip

alit

ies

tota

lare

ath

atis

loca

ted

inec

cles

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ical

terr

itor

ies

in15

56,p

re-m

edie

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ores

tare

as,a

nda

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for

mun

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chbe

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hyof

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ttem

berg

in17

89.

30

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EQUAL PARTITION AND REGIONAL DEVELOPMENT

5. Results Using Seasonality of Precipitation as Instrument

An alternative path to causal inference relies on specific geographic conditions that can serve asan instrumental variable. Inheritance traditions have been shaped by geography, in particularsuitability for intensive agriculture. Equal partition is more prevalent where conditions allowedwine and fruits to be grown, crops that can sustain families on comparatively small plots (see, e.g.Huning and Wahl 2019a). Our instrument, therefore, is a climatic variable specifically relevantfor wine-growing, but not for growing other types of agricultural plants. This variable is theseasonality of precipitation measured as the coefficient of variation in monthly precipitation in theperiod from 1970 to 2000. We obtain this variable from the WorldClim database.29

The idea behind this variable is to relate the seasonality of precipitation to equal partition via itsinfluence on the historical adoption of wine-growing. For the instrumental variables regressions,we do not consider all municipalities in Baden-Wurttemberg but focus on the area 50km aroundStuttgart. The reason for this choice is to limit unobserved heterogeneity and to avoid the inclu-sion of the systematically different mountain areas of the Swabian Alb and the Black Forest. Wealso study an area which is quite balanced with respect to religion and culture more general. Fo-cusing on the area around Stuttgart also is valuable as it is the historical nucleus of wine-growingin Baden-Wurttemberg (the other one being around Freiburg in Baden). Historically, the adop-tion of wine-growing was much more driven by geographic and climatic factors than it was laterwhen demand-side and quality considerations became more important (Nuske 1977). This leavesus with 892 municipalities of which 460 applied equal partition. Hence, regarding inheritancetraditions, our sample is almost balanced.

To grow a decent wine, a lot of specific factors have to come together, and the required micro-climatic conditions are characterized by a complex interplay of terrain features like slope, eleva-tion, and soil, but also climatic factors like temperature, humidity, solar radiation and precipitationlevels (Sommers 2008). As temperature and precipitation are known to systematically vary withelevation, it is among the most important determinants of wine growing, which is why wine doesusually grow only in modest elevation levels (in Germany typically below 500m). It is also knownthat locations close to rivers are favorable for growing wine as they reflect and bundle solar radi-ation, and lead to warmer and wetter winters. Similarly, southern oriented hills with a slope ofaround 45 degrees are the locations the get the most solar radiation. Therefore, a south-orientedhill, with a certain steepness, located close to a river and in an area with modest elevation levels(like in the valley of the German rivers of Mosel, Neckar, or Rhine) can be considered to be optimalfor growing wine. Importantly, these locations are often not favorable for agriculture in general,as large slopes or hilly terrain make it difficult to grow most other staple crops. The seasonalityof climate plays a larger role in the growth of grapes than for other agricultural crops. Wine doesneed a lot of rain during the winter and spring, but it is fine with low precipitation throughout thegrowing season. It is quite adaptable to low water supply during the summer, but only if it hadenough water during spring and reserves from a wet winter. Too much rain during summer canlead to overshooting growth, too early ripeness, and also makes the grapes vulnerable to pests. Inconsequence, a seasonal precipitation pattern with a lot of rain during the winter and spring but

29. The variable we use is part of the WorldClim bioclimatic variables data set which can be accessed here: https://www.worldclim.org/data/bioclim.html. We use the variable Bio15. We downloaded the version of the bioclimatic variableswith the highest spatial resolution (30 arc seconds), and calculated the average value of the variables for the area of a 1953municipality.

31

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EQUAL PARTITION AND REGIONAL DEVELOPMENT

modest levels of rain in the summer is optimal (Sommers 2008). Yet for other important agricul-tural crops grown in Baden-Wurttemberg, like winter wheat, barley, potatoes, or maize seasonalityof precipitation, especially during the winter period seem is not very important (Koller and Flaig2014).

In Online Appendix Table A.17, we show the results of regressions where we predict historicalwine-growing (before 1624) by seasonality of precipitation, geographic factors like elevation, ter-rain ruggedness, distance to major rivers, suitability to grow barley, maize, potatoes, and win-ter wheat as well as historical factors like distance to Roman roads or Imperial cities—capturingthe fact that demand could have driven the adoption of wine-growing by farmers.30 We find,as expected, that seasonality of precipitation is robustly and positively related to historical wine-growing and we also find that elevation, distance to rivers and imperial cities, as well as locationoutside ecclesiastical territories matter. Reassuringly, the suitability for other crops like winterwheat or potatoes is not relevant.31 To show that seasonality of precipitation is not important forgrowing winter wheat, potatoes, maize or barley, we run OLS regressions in which we predicta municipality’s suitability to grow either one of these crops using the same set of variables asfor wine-growing (columns (1) to (4)). We find that seasonality of precipitation does not play arole in the suitability to grow any of these crops. We hence rely on these specific determinants ofwine-growing, measured by seasonality of precipitation.

Figure 5 visualizes the relationship between historical wine-growing and equal partition on theone hand (Panel a), and seasonality of precipitation and equal partition (the first stage relationship)on the other hand. Both figures suggest a positive relationship between wine-growing and equalpartition, and seasonality of precipitation and equal partition, respectively. This confirms thatseasonality of precipitation by being significantly and specifically related two wine-growing, and,via wine-growing to equal partition, can act as a valid instrument.

The 2SLS regressions we estimate take the following form:

EqualPartitionm =α1 + β1PRECV ARm + γ′1Xm + εm (9a)

Outcomem =α2 + β2 EqualPartitionm + γ′2Xm + ηm (9b)

With PRECV ARm being the seasonality of precipitation in municipality m, and Outcomem arethe same measures of local industrialization as in Tables 6–5. The vector of controls Xc,m com-prises of geographical control variables (elevation, terrain ruggedness, and distance to Rhine orNeckar). The geographic variables are meant to account for the effect of geography on economic

30. A descriptive overview of the data set used for these regressions and the IV estimations, later on, can be found inthe Online Appendix, Table A.5. The suitability measures and the other variables originate from the same sources asbefore. Data on historical wine-growing municipalities we take from a digitized map on the spread of wine-growing inBaden-Wurttemberg until 1624 form the “Historischer Atlas von Baden-Wurttemberg” (Nuske 1977).

31. Of course, maize and potatoes were not widely planted in 1624 or before, however, it is nevertheless useful to controlfor their suitability to grow these, as we want to get an idea about whether we capture just “good natural conditions” withthe seasonality of precipitation variable. Furthermore, both maize and potatoes are widely planted in Baden-Wurttembergtoday. Another concern could be that the insignificance of the different suitability measures is driven by huge correlationsbetween those. This is, however, only true for the suitability of winter wheat and barley (bivariate correlation is 0.93).The correlations between the other suitability measures are significant but less strong. We also checked what happens ifwe introduce the catch-all suitability variable we have used before. This variable represents the average suitability for 16crops— including the ones considered separately here. It turns out that this variable would be insignificant too.

32

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EQUAL PARTITION AND REGIONAL DEVELOPMENT

development and inheritance traditions, but they are also specifically included to net out the vari-ation in seasonality of precipitation that is caused by those factors. Historical control variables arethe share of a municipality historically located in an ecclesiastical territory, distance to the nextImperial city or Roman road, historical political fragmentation, and the market potential in 1500.They are meant to account for factors that could be related to wine-growing, equal partition, andeconomic development alike. It also includes suitability measures for barley, maize, potato, andwinter wheat, and distance to Stuttgart to account for a still possible effect of the capital city andits agglomeration. The set of controls is smaller as in the other regressions, but the area studiedis also more homogeneous concerning most aspects, especially geography. As in all regressionsbefore, standard errors are clustered on county level.

(a) Wine Growing Before 1624 and Equal Partition (b) Seasonality of Precipitation, and the Historical Inheri-tance Border

Note: Figure (a) shows in gray the municipalities in which wine was grown already prior to 1299. The historical border of the equalpartition area is depicted in blue. The circle marks the area 50km around Stuttgart. Figure (b) shows seasonality (the coefficient ofvariation) of monthly precipitation. The brighter the municipalities are shaded the larger is seasonality in precipitation. The historicalborder of the equal partition area is depicted in blue. The circle marks the area 50km around Stuttgart.

Figure 5: Wine Growing, Variability of Precipitation and Inheritance Traditions 50km around Stuttgart

Table 8 reports the 2SLS results alongside the coefficient estimates of the reduced form estimatedwith OLS. Panel A shows the second stage, Panel B the first stage, and Panel C the reduced formresults.

For each of the five outcomes variables, we first estimate bivariate regressions without any con-trols (columns with odd numbers), and then include the full set of controls (columns with evennumbers). Panel B suggests that the seasonality of precipitation is a significant predictor of equalpartition in all regressions. The F-value of the excluded instrument is well above the commonthreshold of ten. In conclusion, the instrument is relevant and sufficiently strong.

The second stage results show a significant relationship of instrumented equal partition on theoutcome variables. The coefficients have the right sign in each of the cases and the estimatedeffects are larger than those from the fuzzy spatial RDDs. As both methods estimate a differentLATE, are based on different samples, and variables, a direct comparison is not meaningful.

33

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EQUAL PARTITION AND REGIONAL DEVELOPMENT

Tabl

e8:

Equa

lPar

titio

nan

dEc

onom

icD

evel

opm

entW

hen

Usi

ngSe

ason

ality

ofPr

ecip

itatio

nas

Inst

rum

ent

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

Pane

lA:2

SLS

Seco

ndSt

age

Dep

ende

ntV

aria

ble

ln(P

opul

atio

nD

ensi

ty19

50)

ln(F

irm

spe

rhe

ctar

e19

50)

Empl

oym

entS

hare

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icul

ture

1950

Empl

oym

entS

hare

Indu

stry

1950

Mig

rati

onBa

lanc

ep.

c.19

50Eq

ualP

arti

tion

1.44

6***

1.16

4***

1.13

4**

0.88

7**

-0.2

34**

*-0

.264

***

0.23

2***

0.23

8***

0.04

83**

*0.

0582

***

(0.4

93)

(0.4

37)

(0.4

50)

(0.4

31)

(0.0

82)

(0.0

76)

(0.0

71)

(0.0

62)

(0.0

19)

(0.0

17)

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lB:F

irst

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e(D

epen

dent

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iabl

e:Eq

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tion

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alit

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ipit

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n0.

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***

0.03

54**

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311*

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0304

***

0.03

12**

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0.03

12**

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07**

*0.

0287

***

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07)

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11)

(0.0

07)

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08)

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07)

(0.0

08)

(0.0

07)

(0.0

08)

(0.0

07)

(0.0

08)

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alue

ofEx

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edIV

19.4

813

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19.3

113

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813

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19.0

912

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lC:R

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rmD

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dent

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iabl

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ion

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(Fir

ms

per

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are

1950

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ploy

men

tSha

reA

gric

ultu

re19

50Em

ploy

men

tSha

reIn

dust

ry19

50M

igra

tion

Bala

nce

p.c.

1950

0.04

51**

*0.

0354

***

0.03

52**

0.02

70*

-0.0

073*

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0***

0.00

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0.00

15**

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0017

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15)

(0.0

11)

(0.0

14)

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13)

(0.0

026)

(0.0

02)

(0.0

02)

(0.0

02)

(0.0

00)

(0.0

00)

Geo

grap

hic

Con

trol

s–

X–

X–

X–

X–

XSo

ilSu

itab

ility

Mea

sure

s–

X–

X–

X–

X–

XH

isto

rica

lCon

trol

s–

X–

X–

X–

X–

XD

ista

nce

toSt

uttg

art

–X

–X

–X

–X

–X

Obs

erva

tion

s88

788

788

788

788

788

788

788

785

885

8

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es.

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dard

erro

rscl

uste

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unty

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rent

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s.C

oeffi

cien

tis

stat

isti

cally

diff

eren

tfr

omze

roat

the

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%,*

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and

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%le

vel.

The

unit

ofob

serv

atio

nis

am

unic

ipal

ity

in19

53.

All

regr

essi

ons

incl

ude

aco

nsta

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The second stage also results imply, for example, that population density is on average 220 %larger (column (2)) if a municipality applied equal partition.32 Given the enormous variation inpopulation density in our sample (it varies between 0.48 and 2,396), and the fact that all majoragglomerations and most of the large cities in Baden-Wurttemberg are located in the equal par-tition area, this it is not unreasonably large. It implies that a primogeniture municipality withmedian population density (around 127 inhabitants per hectare) would become a third quantilepopulation density municipality if it were, counterfactual, an equal partition municipality.

Panel C shows a significant positive influence of seasonality of precipitation on the outcome vari-ables, which is in all cases, economically sizable. The reduced form is estimated with OLS andhence, given the seasonality of precipitation is a valid instrument, unbiased regardless of whetherthe 2SLS estimations suffer from a weak instrument. Therefore, the significant reduced form re-sults are reassuring us that the presumed causal effect is actually there.

To conclude on the instrument, these 2SLS estimations confirm that our empirical results are robustto alternative identification strategies.

6. Robustness Checks

Our results are robust to various standard sensitivity tests. These are shown and explained in moredetail in the Online Appendix, section A.3, Table A.8 to A.11. We run placebo border tests wherewe shift the border 15 and 20km to the east and west and look whether we still find discontinuitiesat these placebo borders. We show the results of estimating a sharp instead of a fuzzy RDD for the1950 outcomes. We conduct a so called ‘Donut BDD’. This means we leave out the municipalitiesimmediately to the east and west of the border when estimating the fuzzy BDD. We address theconcern that the states’ capital city and largest agglomeration Stuttgart is part of the sample, butits size could be unrelated to inheritance traditions and therefore bias our estimates. Therefore,we estimate the fuzzy BDD regressions without the border segment in which Stuttgart and its ag-glomeration zone are located. We present BDD estimates using 15 instead of five border segmentsand re-estimate the baseline fuzzy BDD. In another check, we include dummy variables for eachhistorical state a municipality was located in 1789 to the full set of baseline controls, and we alsolook what happens if we control for coal access, and market potential in 1500 AD. Finally, we lookwhat happens if we use a quadratic distance polynomial instead of a linear one for the fuzzy BDD,and we include exclaves of the an inheritance tradition in the regression sample.

Our results survive all these robustness checks and none of them leads us to change our conclu-sions. This raises our confidence that the effects we have identified are actually representing theeffect of equal partition on industrialization and structural change and not something else.

7. Additional Results

We have estimated various additional regression specifications to further underpin the validityand generalizability of our results, and to provide further insights into the effect of equal partitionon other relevant outcomes. We complement our results for 1950 with results for 1961 (Appendix,

32. In the case of a log-level model with a dummy variable as a regressor, the semi-elasticity of population densityconcerning equal partition can be calculated as [(e1.164)− 1] ∗ 100 which roughly 220.

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section A.4, Table A.12) and, in Table A.14, we report the results of BDD regressions for demo-graphic outcomes (death and birth rates, age structure etc.). We do not see a large influence ofequal partition on the age structure or birth and death rates. In section A.4.5, we present evidenceon the relationship between equal partition and municipal industrialization in Wurttemberg in1895. For this we use alternative, and historically earlier inheritance data from Krafft (1930). Itturns out that our results hold for this earlier period and this alternative source on municipalinheritance traditions.

VI. CONCLUSION

In this paper, we study the consequences of agricultural traditions on the degree of industrializa-tion and structural change in the 20th and 21st century. We find, in line with our theoretical propo-sitions, equal partition is beneficial from an economic point of view, as it led to smaller farms andonly children with an inheritance. This implies that part-time farmers, that allocated a portionof their working time to non-agricultural activities, first within the rural-putting out system, andlater in factories, were the nucleus of today’s decentralized industry in Southern Germany. Equalpartition areas saw a lower level of out-migration from rural areas to industrial centers, whichallowed a higher population growth in the Post-Malthusian Era, which fostered industrialization,as shown with data from the 1950s and today.

Small-scale differences in agricultural inheritance traditions can explain the well-known, and unique,decentralized industrial structure of the area. They might also explain why its economic prosperityand high level of innovation rests on small and medium-sized firms instead of large, multinationalcompanies. Our results support the view outlined by German historians that, unlike for examplein England, the (comparatively late) industrialization of Germany was a rural phenomenon. It didnot start in places that are large cities today, but in remote areas and with small firms and part-time farmers become craftsmen, textile, or tobacco workers. This finding can shed light on thedevelopment of domestic demand and industrialization processes in other world regions.

On a more general level, the paper contributes to a small literature that studies the long-run de-velopment of rural areas. Historically, most people lived in rural areas outside the large cities.Shedding light on the developments in these, more remote areas is instrumental for a full under-standing of the causes and diffusion of industrialization throughout Europe in the 19th and early20th century. We hope that this study will inspire others to have a closer look at the historicaldevelopments in rural areas.

This paper proposes a channel through which agricultural inheritance norms affected the patternof economic development. It is a natural follow-up question to derive counterfactuals on howBaden-Wurttemberg would have developed if there was historically only one inheritance norm. Ifequal partition had for example never existed, this would have increased migration to cities. Howmuch larger would Stuttgart be today? Would Baden-Wurttemberg, or Germany, be richer now?All these questions call for more theory, and yet more data. An interesting alley of research is ofcourse to investigate the role of women in all this.

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Appendix (For online publication only)

A.1. The Map of Inheritance practices of Rohm (1957)

Figure A.1: Map of Inheritance Practices and Partitioned Common Land in 1953 according to Rohm(1957).

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A.2. Data Set and Variables Description

Table A.1: Descriptive Overview of the European Grid Cell Data Set

Variable Obs Mean Std. Dev. Min Max

Elevation (mean) 1,178 438.248 403.093 1.881 2214.680Equal Partition 1,178 0.311 0.463 0.000 1.000Rivers (km) 1,178 15.896 27.608 0.000 167.222Roman Roads (km) 1,178 31.276 52.130 0.000 730.008Latitude 1,178 5482706.000 736508.800 4156051.000 7256051.000ln(Luminosity) 1,178 2.100 0.958 -1.703 5.272Longitude 1,178 412850.200 697748.900 -1058627.000 1491373.000Share Equal Partition 1,178 0.352 0.459 0.000 1.000Soil Suitability 1,178 35.807 17.474 0.262 72.605

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Table A.2: Descriptive Overview of the Data Set for Municipalities as of 1953

Variable Obs Mean Std. Dev. Min Max

Birth p.c. 1950 3,372 0.019 0.006 0.002 0.175Celtic Grave 3,382 0.428 0.991 0.000 13.000Coal Potential 3,382 209.954 5.895 199.727 227.442Commons 3,382 0.267 0.442 0.000 1.000Distance to Eastern Border 3,382 -2.263 41.643 -100.476 85.063Distance to Imperial City 1556 3,382 11.331 9.843 0.000 51.745Distance to Rhine or Neckar 3,380 23.572 20.471 0.000 88.011Distance to Roman Road 3,382 9.713 9.573 0.000 48.148Elevation (mean) 3,380 474.774 200.677 96.333 1216.923Employment Share Agriculture 1950 3,378 0.338 0.139 0.011 0.817Employment Share Industry 1950 3,378 0.389 0.19 0.007 0.893Equal Partition Area 3,382 0.488 0.500 0.000 1.000Equal Partition Transition 3,382 0.153 0.360 0.000 1.000Exclave Equal Partition 3,382 0.012 0.107 0.000 1.000Exclave Primogeniture 3,382 0.012 0.111 0.000 1.000Farms per acre 3,379 13.988 10.027 0.000 259.130French Occupation Zone 3,382 0.565 0.496 0.000 1.000Historical Political Fragmentation 3,379 20075.080 27898.930 71.574 118850.000Historical Political Instability 3,382 3.724 1.438 0.000 10.000Intersects Major Railway 3,382 0.17 0.376 0 1Intersects Minor Railway 3,382 0.304 0.46 0 1Latitude 3,382 5376216.000 62732.270 5267568.000 5513552.000Latitude*Longitude 3,382 2690000000000.000 287000000000.000 2060000000000.000 3280000000000.000ln(Firms per acre 1950) 3,373 1.542 0.901 -2.596 6.360ln(Population 1939) 3,378 6.527 0.973 3.258 13.115ln(Population Density 1950) 3,378 4.631 0.782 1.861 8.608ln(Population Density 1961) 3,381 4.675 0.892 1.485 8.611Longitude 3,382 500216.700 51094.990 389401.900 606720.000Marriages p.c. 1950 3,347 0.010 0.003 0.000 0.112Market Potential in 1500 3,382 13.016 0.412 12.431 18.337Migration Balance p.c. 1950 3,263 0.002 0.027 -0.132 0.353Min. Distance to Urban Center 3,382 41.497 26.546 0.000 125.878Mixed Inheritance 3,382 0.039 0.193 0.000 1.000Primogeniture Transition 3,382 0.121 0.326 0.000 1.000Share <6 Years old 3,375 0.090 0.024 0.006 0.845Share >65 Years 3,376 0.101 0.051 0.007 1.168Share 15–20 3,376 0.085 0.034 0.009 0.734Share 20–45 2,297 0.341 0.083 0.031 3.946Share 45-65 2,297 0.223 0.032 0.022 0.649Share 5–15 3,376 0.169 0.038 0.014 1.486Share Ecclesiastical Territory 1556 3,382 0.124 0.3 0.000 1.000Share mainly part-time Farmers 1972 1,164 0.553 0.220 0.000 1.000Share Big Farms 3,375 0.378 0.257 -0.006 1.909Share Helping Family Members 3,380 0.144 0.081 0.003 0.463Share part-time Farmers (total) 1972 1,145 0.686 0.181 0.121 1.000Share Pre-Medieval Forest Area 3,382 0.234 0.4 0 1Share Protestants 1950 3,378 0.437 0.538 0.000 23.056Share Wine and Fruits 1961 3,381 1.765 4.078 0.000 36.500Soil Suitability (Mean) 3,380 22.258 8.282 0.000 52.000Terrain Ruggedness (mean) 3,380 100.496 71.543 2.366 460.234Tobacco in 1865 3,382 0.119 0.323 0 1Wurttemberg in 1789 3,382 0.231 0.421 0.000 1.000

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Table A.3: Descriptive Overview of the Data Set for Contemporary Municipalities

Variable Obs Mean Std. Dev. Min Max

Celtic Grave 1,105 0.405 0.491 0.000 1.000Coal Potential 3,382 209.954 5.895 199.727 227.442Distance to Imperial City 1556 1,105 9.467 8.994 0.000 47.45Distance to Rhine or Neckar 1,105 12.916 12.992 0.000 64.653Distance to Roman Road 1,105 7.865 8.446 0.000 40.900Elevation (mean) 1,101 469.448 204.369 95.824 1150.703Equal Partition Area 1,105 0.514 0.500 0.000 1.000Exclave Equal Partition 1,105 0.018 0.133 0.000 1.000Exclave Primogeniture 1,105 0.018 0.133 0.000 1.000French Occupation Zone 1,105 0.5312217 0.4992502 0 1Historical Political Fragmentation 1,105 18735.050 24752.880 108.754 99351.710Historical Political Instability 1,105 4.474 1.937 1.000 13.000ln(Income per capita 2006) 1,101 2.64 0.145 2.005 3.564Market Potential in 1500 3,382 11.72 0.307 11.412 14.332Min. Distance to Urban Center 1,105 35.920 27.763 0.000 122.201Share Ecclesiastical Territory 1556 1,105 0.128 0.28 0.000 1.000Share Industrial Area 2019 1,105 0.690 1.043 0.000 11.005Share Industry Buildings 2010 1,105 0.013 0.014 0.000 0.145Share Pre-Medieval Forest Area 1,105 0.24 0.388 0 1Soil Suitability (mean) 1,105 58.572 15.890 0.000 84.667Terrain Ruggedness (mean) 1,101 101.590 71.159 3.267 394.681Latitude 1,105 5375100.000 59102.100 5267375.000 5510273.000Longitude 1,105 500146.000 50903.090 392342.400 604822.000Latitude*Longitude 1,105 2690000000000.000 283000000000.000 2070000000000.000 3270000000000.000Wurttemberg in 1789 1,105 0.246 0.431 0.000 1.000

Table A.4: Descriptive Overview of the Data Set of Family Names from WWI Casualties Lists

Variable Obs Mean Std. Dev. Min Max

Distance to Imperial City 30,649 6.72981 6.94244 0.00000 46.76791Distance to Major River 30,649 11.45856 12.10523 0.00000 72.14777Distance to Roman Road 30,649 6.46192 7.63433 0.00000 48.14753Elevation (mean) 30,647 374.07630 174.54170 96.33333 1100.66700ln(No. of Municipalities with this Family Name) 30,649 0.72009 1.01907 0.00000 6.98194ln(Share of Entries in Equal Partition Area) 30,649 0.48925 0.27123 0.00000 0.69315Mobilization Rate 1914 (mean) 30,649 0.00677 0.01217 0.00000 0.05893No. of Entries per Municipality 30,649 2328.59400 3838.80300 1.00000 16262.00000No. of Entries with this Family Name 30,649 12.97334 66.57548 1.00000 5248.00000No. of Municipalities with this Family Name 30,649 5.00822 18.60883 1.00000 1077.00000Share Artillery Mobilization (mean) 30,649 0.00002 0.00004 0.00000 0.00023Share Infantry Mobilization (mean) 30,649 0.03652 0.06138 0.00000 0.27438Share of Entries in Equal Partition Area 30,649 0.68664 0.39707 0.00000 1.00000Share Reserve (mean) 30,649 0.00604 0.01003 0.00000 0.04272Soil Suitability (mean) 30,647 22.05572 6.66950 0.00000 52.00000Terrain Ruggedness (mean) 30,647 88.94053 56.48000 3.54959 460.23380

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Table A.5: Descriptive Overview of the ”50km around Stuttgart” data set

Variable Obs Mean Std. Dev. Min Max

Barely Suitability 892 60.214 18.677 3.000 85.000Distance to Imperial City 892 7.013 6.679 0.000 27.183Distance to Rhine or Neckar 892 13.852 9.641 0.000 39.972Distance to Roman Road 892 4.023 4.307 0.000 18.448Distance to Stuttgart 892 23.167 11.374 0.000 41.553Elevation (mean) 890 419.025 152.293 169.625 820.800Employment Share Agriculture 1950 889 0.309 0.162 0.011 0.710Employment Share Industry 1950 889 0.418 0.121 0.098 0.817Equal Partition 892 0.516 0.500 0.000 1.000Historical Political Fragmentation 892 10818.090 17199.100 159.942 92386.520ln(Firms per acre 1950) 887 1.969 0.765 -2.596 5.005ln(Population Density 1950) 889 4.994 0.761 -0.741 7.782Maize Suitability 892 10.458 5.131 0.000 28.636Market Potential in 1500 892 13.116 0.286 12.655 14.787Migration Balance p.c. 1950 860 0.001 0.021 -0.072 0.107Potatoe Suitability 892 38.885 6.269 18.704 48.000Seasonality of Precipitation 892 17.699 5.057 10.672 28.871Share Ecclesiastical Territory 892 0.048 0.189 0.000 1.000Terrain Ruggedness (mean) 892 151.060 80.694 24.203 494.897Wine Growing before 1624 892 0.635 0.482 0 1Winter Wheat Suitability 892 56.056 17.850 3.000 83.000

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Table A.6: Descriptive Overview of the Data Set for 1895 Wurttemberg Municipalities

Variable Obs Mean Std. Dev. Min Max

Celtic Grave 1,912 0.292 0.455 0.000 1.000Distance to Imperial City 1556 1,912 7.392 6.791 0.000 32.553Distance to Rhine or Neckar 1,912 17.924 16.456 0.000 72.528Distance to Roman Road 1,912 7.140 8.712 0.000 48.456Distance to Urban Center 1,912 45.137 22.230 0.004 106.217Elevation (mean) 1,912 496.541 155.836 165.800 934.500Equal Partition 1,912 0.395 0.489 0.000 1.000Historical Political Fragmentation 1,909 14510.030 22129.960 74.152 105329.100Historical Political Instability 1,912 3.602 1.418 0.000 8.000Intersects Major Railway 1,912 0.154 0.361 0.000 1.000Intersects Minor Railway 1,912 0.144 0.352 0.000 1.000Latitude 1,912 48.625 0.427 47.599 49.580ln(Farms per Acre 1895) 1,910 -1.906 0.663 -4.808 1.920ln(Firms per acre 1895) 1,363 -2.721 0.790 -5.352 1.553ln(Population Density 1834) 1,909 -0.307 0.898 -3.520 3.496ln(Population Density 1895) 1,909 -0.193 0.927 -3.219 3.981Longitude 1,912 9.403 0.494 8.304 10.454Share Ecclesiastical Territory 1556 1,912 0.083 0.247 0.000 1.000Share Pre-Medieval Forest Area 1,912 0.164 0.347 0.000 1.000Share Protestants 1,832 0.649 0.442 0.001 1Soil Suitability 1,912 63.301 12.892 0.000 85.000Terrain Ruggedness (mean) 1,912 74.901 43.597 7.652 299.750Wurttemberg 1789 1,912 0.434 0.496 0.000 1.000

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Tabl

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vii

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A.2.1. Definitions and Sources of the Variables

The spatial datasets were each converted into ETRS89 UTM 32N projection. GIS computa-tions were performed with the QGIS software. Variables from the official statistics of Baden-Wurttemberg are explained in detail in the main text and are not included in the list below.

Celtic Grave. Dummy variable equal to one if in a municipality archaeologists have found at leastone Celtic grave. Variable calculated using a digitized version of the following map from Kom-mission fur geschichtliche Landeskunde in Baden-Wurttemberg (1988): https://www.leo-bw.de/media/kgl atlas/current/delivered/bilder/HABW 03 02.jpg (accessed latest on 27th March2019).

Coal Potential. A municipality’s access to coal is measured as the as the size of the late carbonif-erous geological areas around it in km2, weighted by their distance to the municipality in km.Data on the size and location of carboniferous geological areas is taken from Asch2005.

Distance to Imperial City 1556. Distance to city states is calculated as follows: Points with randomlocation were generated until 1,000 points fell in into each municipality. In a second step, theEuclidean distance from each of the 1,000 points per municipality to the closest Imperial citywas calculated. In a last step, these distances were aggregated by municipality. The locationof city states follows the maps of territories of the HRE in 1556 by Wolff (1877) but we havecorrected/ supplemented them—if necessary—with information from Kobler (1988), Keyser andStoob (1939–1974) and Jacob (2010).

Distance to Neolithic Settlement Area. Distance to Neolithic settlement area is calculated as follows:Points with random location were generated until 1,000 points fell in into each municipality.In a second step, the Euclidean distance from each of the 1,000 points per municipality to theclosest segment of the Neolithic settlement area polygons was calculated. In a last step, thesedistances were aggregated by municipality. Variable calculated using a digitized version of thefollowing map from Kommission fur geschichtliche Landeskunde in Baden-Wurttemberg (1988):https://www.leo-bw.de/media/kgl atlas/current/delivered/bilder/HABW 03 01.jpg (accessedlatest on 27th March 2019).

Distance to Rhine and Neckar. Distance to those rivers is calculated as follows: Points with randomlocation were generated until 1,000 points fell in into each municipality. In a second step, the Eu-clidean distance from each of the 1,000 points per municipality to the closest of both rivers wascalculated. In a last step, these distances were aggregated by municipality. For the location of therivers, we used the dataset for ’WISE large rivers’ shapefile, which can be downloaded here: https://www.eea.europa.eu/data-and-maps/data/wise-large-rivers-and-large-lakes(last accessed May,30th 2016).

Distance to Roman Roads. Distance to (minor and major) Roman roads is calculated as follows:Points with random location were generated until 1,000 points fell in into each municipality. Ina second step, the Euclidean distance from each of the 1,000 points per municipality to the to theclosest Roman road was calculated. These distances were aggregated by municipality. Locations

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of Roman roads (minor and major) originate from a shapefile included in the “Digital Atlasof Roman and Medieval Civilizations” (McCormick et al. 2013). The shapefile is based on themap of Roman roads in the Barrington Atlas of the Greek and Roman World (Talbert 2000). Itcan be downloaded here: http://darmc.harvard.edu/icb/icb.do?keyword=k40248&pageid=icb.page601659 (last accessed September, 24th 2015).

Elevation (mean). Mean elevation of each municipality in meters. Data is based on the DigitalElevation Model (DEM) of the U.S. Geological Survey’s Center for Earth Resources Observationand Science (EROS), namely the GTOPO30 dataset, which can be downloaded here https://lta.cr.usgs.gov/GTOPO30 (last accessed May, 30th 2016). The GTOPO30 has a spatial resolution of30 arc seconds.

Equal Partition. Dummy variable equal to one if more than 90 % of a grid cell’s area has equal par-tition as dominant inheritance practice. Based on a map of the spatial distribution of inheritancepractices in Europe printed in Todd (1990).

French Occupation Zone. Dummy variable equal to one if the majority of a municipality waslocated within the French Occupation Zone. Assignment of municipalities to the French Occu-pation Zone is based on the shapefile of the French Occupation zone provided by Schumann(2014).

Historical Political Fragmentation. Historical average state size of the states intersecting the munic-ipality in km2. Variable is calculated using digitized versions of the maps of the HRE printed inWolff (1877).

Historical Political Instability. The variable reports the number of different historical states inter-secting a municipality. Variable is calculated using digitized versions of the maps of the HREprinted in Wolff (1877).

Intersects Major Railway. Dummy Variable if a major railway line (“Haupteisenbahnlinie”) in-tersects the area of a municipality. The Variable is based on a digitized version of the fol-lowing map from Kommission fur geschichtliche Landeskunde in Baden-Wurttemberg (1988):https://www.leo-bw.de/media/kgl atlas/current/delivered/bilder/HABW 10 04.jpg (accessedlatest on 27th March 2019). The map shows the railway network after its last wave of expansionin 1934.

Intersects Minor Railway. Dummy Variable if a minor railway line (“Regionale Eisenbahnlinie”or“Nebeneinsenbahnlinie”) intersects the area of a municipality Variable is based on a digitized ver-sion of the following map from Kommission fur geschichtliche Landeskunde in Baden-Wurttemberg(1988): https://www.leo-bw.de/media/kgl atlas/current/delivered/bilder/HABW 10 04.jpg (ac-cessed latest on 27th March 2019). The map shows the railway network after its last wave ofexpansion in 1934.

Market Potential in 1500. A municipality’s market potential is calculated following the methodol-

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ogy of Crafts (2005). Unlike Crafts measure of regional economic potential, our measure is notbased on the GDP of all other municipalities, but on the population size of the historical citiesincluded in the database of Bairoch, Batou, and Chevre (1988).

Minimum Distance to Urban Center. Distance to the closest of these urban centers, namely Freiburg,Heidelberg, Mannheim, Karlsruhe or Stuttgart is calculated as follows: Points with random lo-cation were generated until 1,000 points fell in into each municipality. In a second step, the Eu-clidean distance from each of the 1,000 points per municipality to the closest of those cities wascalculated. In a last step, these distances were aggregated by municipality. Location of the citiesis determined by the minimum latitudinal and longitudinal coordinates of the city and based onthe shapefile of municipalities resulting from digitization of the map of Rohm (1957).

Latitude. Minimum longitudinal coordinates a municipality’s centroid (mid-point) in meters.

Longitude. Minimum longitudinal coordinates of a municipality’s centroid (mid-point) in me-ters.

Seasonality of Precipitation. Variable is the coefficient of variation of monthly precipitation in mm,averaged over the period from 1970 to 2000. It originates from the bioclimatic variables providedby the WorldClim database version 2.1 (https://www.worldclim.org/data/bioclim.html). Weaggregated the 30*30 arc seconds raster data provided by WorldClim to the level of municipalitiesby averaging over all the pixels located within area of a municipality.

Share Ecclesiastical Territory 1556. Variable is the share of a municipality’s area that was locatedin an ecclesiastical state in 1556. The map of territories within the current state of Baden-Wurttemberg originates from Huning and Wahl (2019).

Share Equal Partition. Share of a grid cell’s area that has equal partition as dominant inheritancepractice. Based on a map of the spatial distribution of inheritance practices in Europe printed inTodd (1990).

Share Industrial Area 2019. Variable that indicates the share of a municipalities area that is usedfor industrial purposes. This variable is generated by extracting industry area polygons fromOpenStreetMap data using the respective tool in QGIS. Data represents the situation as of 10th

March 2019.

Share Industry Buildings 2010. Represents the share of industry buildings (factories etc.) of allbuildings in a municipality as of 2010. Variable originates from the data set of Asatryan, Havlik,and Streif (2017).

Share Pre-Medieval Forest Area. The share of each municipality’s area that is located in pre-medieval forest area. Variable is calculated based on a digitized version of a map by Ellenberg(1990).

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Slope (mean). Average terrain slope of each municipality. Data is based on the Digital ElevationModel (DEM) of the U.S. Geological Survey’s Center for Earth Resources Observation and Sci-ence (EROS), namely the GTOPO30 dataset, which can be downloaded here https://lta.cr.usgs.gov/GTOPO30 (last accessed May, 30th 2016). The GTOPO30 has a spatial resolution of 30 arcseconds.

Soil Suitability. Soil Suitability is based on the agricultural suitability measure developed in Zabel,Putzenlechner, and Mauser (2014).1 The measure used in the paper is average agricultural suit-ability in the period 1961–1990. Zabel, Putzenlechner, and Mauser (2014) measure agriculturalsuitability by considering climate (temperature, precipitation, solar radiation), soil (pH, texture,salinity, organic carbon content, etc.), and topography (elevation and slope) of a grid cell of 30arc seconds*30 arc seconds (0.86 km2 at the equator) size. They consider rain-fed conditions aswell as irrigation (what could, among other things, give rise to endoeneity issues). To computeagricultural suitability, they contrast these factors with growing requirements of 16 plants (Bar-ley, Cassava, Groundnut, Maize, Millet, Oilpalm, Potato, Rapeseed, Rice, Rye, Sorghum, Soy,Sugarcane, Sunflower, Summer wheat, Winter wheat).

Terrain Ruggedness (Mean). Following Riley, DeGloria, and Elliot (1999) average ruggedness ofa municipality’s territory is calculated as the negative value of the derivative of the ruggednessindex of a digital elevation model. The calculations are based on the elevation raster of Nunnand Puga (2012) (see above).

Wurttemberg 1789. Dummy Variable equal to one if the majority of a municipality was located inthe Duchy of Wurttemberg in 1789. Assignment of municipalities to the historical duchy is basedon the map of territories in 1789 from Huning and Wahl (2019).

A.3. Robustness Checks

Our results are robust to various sensitivity tests and empirical exercises. A common robustnesscheck for spatial RDDs is a placebo border test. In such a test, one shifts the border a certainamount to the north, east, west, or south and re-assigns treatment units accordingly to the new,(placebo) treatment area. There should be no significant effect at this ‘false’ border—as it islocated entirely in either the treated or untreated area. In our case, we shift the border 15 and20 kilometers to the west and to the east and re-run the spatial RDDs using the ten kilometerbuffer. We run placebo tests with the outcome variables from Table 6 in the main text. We alwaysinclude the full set of control variables and cluster standard errors on county level. A fuzzy RDDlike we have conducted before would not yield reliable estimates, as the new equal partition areadummy would be a bad proxy for being an actual equal partition municipality. This is becausealmost none of them are actually equal partition municipalities but primogeniture or transitionalones. Therefore, we can conduct this placebo test only be estimating a sharp RDD using theequal partition area dummy as treatment variable. This is however also an insightful robustnesscheck.

1. The data set is described further here: http://geoportal-glues.ufz.de/stories/globalsuitability.html (last accessed onJanuary 22, 2016), where it also can be downloaded.

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We report the results of the sharp RDD using the actual equal partition area dummy as treatmentvariable in Panel A of Table A.8. We consider only border municipalities for the sharp RDD asthis is the most demanding specification. Results show statistically and economically significantcoefficients that are nevertheless smaller than those got with the fuzzy-RDD. Given that a sharpBDD could be seen as an intention-to-treat model, it should give us the lower bound of the actualeffect of equal partition. Panel B of that table shows results of shifting the border 15 kilometereastwards—all observations are actually in the primogeniture area. Panel C shows a shift of theborder 15 kilometer westwards—all observations are actual in the equal partition area. Panel Dshows the consequences of shifting the border 20 kilometers eastwards, and in Panel E, the borderis shifted 20 kilometer westwards. Reassuringly, for all placebos borders, almost all coefficientsare notably smaller and statistically insignificant. There are two exceptions in columns (3) and(4) of Panel C, when the border is shifted westwards. There, we find significant coefficients forthe employment shares in industry and agriculture. Those, however, have the wrong sign. Wecan conclude from the placebo test that the baseline results seem not to be due to statisticalcoincidence.

In TableA.9, we present the results of two further robustness checks. First, Panel A shows theresult of the ‘Donut BDD’. This means we leave out the municipalities immediately to the eastand west of the border when estimating the fuzzy BDD. This can be useful to account for se-lective sorting, measurement error (wrongly assigned municipalities) and to account for the factthat along the border, it could occur that someone had a farm in the equal partition area butsome fields were located in the nearby primogeniture area—introducing noise in our measure ofinheritance traditions. Because we lose a significant amount of observations by leaving out theborder municipalities, we enlarge the buffer area for those regressions to twenty kilometer. Allresults but those for the migration balance per capita remain intact and show statistically andeconomically significant effects.

In Panel B, we address the concern that Stuttgart is part of the sample, but its size could beunrelated to the inheritance rule. This historical residential city, today one of the largest ag-glomerations in Europe, could drive the results in favor of the equal partition area it is part of.Our results are robust to estimating the BDD just for the rural areas to the south and north ofStuttgart. We exclude the border segment containing Stuttgart and the eastern part of it agglom-eration.

We choose the five kilometer buffer area to ensure that the included municipalities are furtheraway from Stuttgart and its suburbs. The resulting coefficients are highly statistically significantand of qualitatively the same size as the original ones. Hence, Stuttgart and its large agglomera-tion and industry area are not behind our results.

We show the results of further robustness checks. In Table A.10, Panel A, we present BDDestimates using 15 instead of five border segments and re-estimate the BDD from the baselineapplying the ten kilometer buffer area. This leaves on average only 33 municipalities on each sideof the border and within each segment as observations. We find quantitatively and qualitativelysimilar results to the baseline estimates. If anything results regarding the migration balance percapita are stronger than in the baseline case and remain statistically significant.

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Consequences of Inheritance Traditions

Tabl

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erva

tion

s46

246

246

246

244

6R

20.

561

0.46

30.

403

0.45

20.

555

Pane

lD:S

hift

ed20

kmEa

stw

ards

Equa

lPar

titi

on0.

111

0.08

400.

0187

0.00

240.

003

(0.0

1)(0

.128

)(0

.012

)(0

.018

)(0

.004

)O

bser

vati

ons

542

541

542

542

516

R2

0.27

40.

231

0.46

20.

417

0.45

2Pa

nelE

:Shi

fted

20km

Wes

twar

dsEq

ualP

arti

tion

0.05

890.

0692

0.02

08-0

.034

60.

0025

(0.0

85)

(0.1

10)

(0.0

17)

(0.0

23)

(0.0

03)

Obs

erva

tion

s42

042

042

042

040

9R

-squ

ared

0.48

10.

390

0.39

20.

462

0.58

2Bo

rder

Segm

ent

FEs

XX

XX

XG

eogr

aphi

cC

ontr

ols

XX

XX

XH

isto

rica

lCon

trol

sX

XX

XX

Fren

chO

ZD

umm

yX

XX

XX

Dis

tanc

eto

Urb

anC

ente

rX

XX

XX

Inte

rsec

tsM

ajor

Rai

lway

XX

XX

XIn

ters

ects

Min

orR

ailw

ayX

XX

XX

Not

es.

Stan

dard

erro

rscl

uste

red

onco

unty

(Lan

dkre

is)

leve

lar

ein

pare

nthe

ses.

Coe

ffici

ent

isst

atis

tica

llydi

ffer

ent

from

zero

atth

e**

*1%

,**

5%

and

*10

%le

vel.

The

unit

ofob

serv

atio

nis

am

unic

ipal

ity

in19

53.

All

regr

essi

ons

incl

ude

aco

nsta

ntno

tre

port

ed.

Geo

grap

hic

cont

rols

incl

ude

mea

nel

evat

ion,

terr

ain

rugg

edne

ssan

dso

ilsu

itab

ility

asw

ell

asth

esh

are

ofag

ricu

ltur

alar

eaus

edto

grow

win

ean

dfr

uits

in19

61,a

nddi

stan

ceto

Rhi

neor

Nec

kar.

His

tori

calc

ontr

ols

enco

mpa

ssdi

stan

ceto

the

clos

est

Impe

rial

city

asof

1556

,dis

tanc

eto

next

cert

ain

Rom

anro

ad,a

dum

my

vari

able

for

mun

icip

alit

ies

wit

hat

leas

ton

eC

elti

cgr

ave,

hist

oric

alpo

litic

alfr

agm

enta

tion

and

inst

abili

ty,t

hesh

are

ofa

mun

icip

alit

ies

tota

lar

eath

atis

loca

ted

inec

cles

iast

ical

terr

itor

ies

in15

56,

pre-

med

ieva

lfor

est

area

s,th

esh

are

ofPr

otes

tant

sin

1961

and

adu

mm

yfo

rm

unic

ipal

itie

sw

hich

belo

nged

toth

eD

uchy

ofW

urtt

embe

rgin

1789

.

xiii

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Consequences of Inheritance Traditions

As the effect size remains large, we attribute this to the low number of observations and thethe problem that maybe too less variation was left to estimate the coefficient precisely enough.In Panel B, we include dummy variables for each historical state a municipality was located in1789 to the full set of baseline controls and re-estimate the BDD. We gain virtually identicalresults. In Panel C, we control for coal access, as measured by the size of late carboniferousgeological areas in km2, weighted by their distance to the municipality in km. We also control formarket potential in 1500 AD (based on the Bairoch dataset of historical city populations) whichis calculated according to the methodology of Crafts (2005).2 While market potential in 1500 ADis significant in two cases, coal access is never, and thus, the results are almost identical to thoseof the baseline estimations.3

Table A.11 presents the results of two last checks. In Panel A, we again use the 5km bufferand include a quadratic distance polynomial instead of a linear one in the regression. Resultsare almost unchanged. Thus, the exact shape of the polynomial of the forcing variable is not adecisive point for our results. Finally, in Panel B we include exclaves of the respective other basicinheritance tradition in the regression sample. As before, results change little with the exclavesincluded.

Our baseline results have proven to be robust to a battery of commonly applied and useful ro-bustness checks. This raises our confidence that the effects we have identified are actually repre-senting the effect of equal partition on industrialization and structural change and not somethingelse.

2. For a comprehensive description of both variables, the reader is referred to the Data Appendix.3. If we had included market potential in 1800 or 1900 results would be almost unaffected.

xiv

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Consequences of Inheritance Traditions

Tabl

eA

.9:R

obus

tnes

sC

heck

sII

—D

onut

BDD

and

Estim

atio

nw

ithou

tthe

Bord

erSe

gmen

tCon

tain

ing

Stut

tgar

t

Dep

ende

ntV

aria

ble

ln(P

opul

atio

nD

ensi

ty19

50)

ln(F

irm

spe

rA

cre

1950

)Em

ploy

men

tSh

are

Indu

stry

1950

Empl

oym

ent

Shar

eA

gric

ultu

re19

50M

igra

tion

Bala

nce

p.c.

1950

(1)

(2)

(3)

(4)

(5)

Pane

lA:B

uffe

rA

rea

20km

wit

hout

Bord

erM

unic

ipal

itie

sEq

ualP

arti

tion

0.52

5***

0.52

3***

0.12

7***

-0.1

05**

*0.

001

(0.1

57)

(0.1

86)

(0.0

42)

(0.0

40)

(0.0

04)

Obs

erva

tion

s1,

157

1,15

61,

157

1,15

71,

116

F-va

lue

ofEx

clud

edIV

114.

0811

3.97

114.

0811

4.08

123.

52Pa

nelB

:Buf

fer

Are

a5k

mW

itho

ut3r

dBo

rder

Segm

ent

Equa

lPar

titi

on0.

735*

**0.

623*

*0.

184*

*-0

.194

**0.

022*

*(0

.225

)(0

.258

)(0

.086

)(0

.095

)(0

.011

)O

bser

vati

ons

449

449

449

449

438

F-va

lue

ofEx

clud

edIV

27.0

627

.06

27.0

627

.06

26.5

5Bo

rder

Segm

ent

FEs

XX

XX

XG

eogr

aphi

cC

ontr

ols

XX

XX

XH

isto

rica

lCon

trol

sX

XX

XX

Fren

chO

ZD

umm

yX

XX

XX

Dis

tanc

eto

Urb

anC

ente

rX

XX

XX

Inte

rsec

tsM

ajor

Rai

lway

XX

XX

XIn

ters

ects

Min

orR

ailw

ayX

XX

XX

Not

es.

Stan

dard

erro

rscl

uste

red

onco

unty

(Lan

dkre

is)

leve

lar

ein

pare

nthe

ses.

Coe

ffici

ent

isst

atis

tica

llydi

ffer

ent

from

zero

atth

e**

*1%

,**

5%

and

*10

%le

vel.

The

unit

ofob

serv

atio

nis

am

unic

ipal

ity

in19

53.

All

regr

essi

ons

incl

ude

aco

nsta

ntno

tre

port

ed.

Geo

grap

hic

cont

rols

incl

ude

mea

nel

evat

ion,

terr

ain

rugg

edne

ssan

dso

ilsu

itab

ility

asw

ell

asth

esh

are

ofag

ricu

ltur

alar

eaus

edto

grow

win

ean

dfr

uits

in19

61,a

nddi

stan

ceto

Rhi

neor

Nec

kar.

His

tori

calc

ontr

ols

enco

mpa

ssdi

stan

ceto

the

clos

est

Impe

rial

city

asof

1556

,dis

tanc

eto

next

cert

ain

Rom

anro

ad,a

dum

my

vari

able

for

mun

icip

alit

ies

wit

hat

leas

ton

eC

elti

cgr

ave,

hist

oric

alpo

litic

alfr

agm

enta

tion

and

inst

abili

ty,t

hesh

are

ofa

mun

icip

alit

ies

tota

lar

eath

atis

loca

ted

inec

cles

iast

ical

terr

itor

ies

in15

56,

pre-

med

ieva

lfor

est

area

s,th

esh

are

ofPr

otes

tant

sin

1961

and

adu

mm

yfo

rm

unic

ipal

itie

sw

hich

belo

nged

toth

eD

uchy

ofW

urtt

embe

rgin

1789

.

xv

Page 56: The Fetters of Inheritance? Equal Partition and Regional Economic … · 2020-06-11 · EQUAL PARTITION AND REGIONAL DEVELOPMENT This version: June 11, 2020 The Fetters of Inheritance?

Consequences of Inheritance Traditions

Tabl

eA

.10:

Rob

ustn

ess

Che

cks

III—

Incl

udin

gM

ore

Bord

erSe

gmen

ts,H

isto

rica

lSta

teD

umm

ies,

Coa

land

Mar

ketP

oten

tial

Dep

ende

ntV

aria

ble

ln(P

opul

atio

nD

ensi

ty19

50)

ln(F

irm

spe

rA

cre

1950

)Em

ploy

men

tSh

are

Indu

stry

1950

Empl

oym

ent

Shar

eA

grar

1950

Mig

rati

onBa

lanc

ep.

c.19

50

(1)

(2)

(3)

(4)

(5)

Pane

lA:I

nclu

ding

15Bo

rder

Segm

ent

Fixe

dEf

fect

sEq

ualP

arti

tion

0.68

8***

0.71

9***

0.14

9**

-0.1

40*

0.01

6*(0

.222

)(0

.258

)(0

.073

)(0

.082

)(0

.009

)O

bser

vati

ons

586

586

586

586

569

F-va

lue

ofEx

clud

edIV

24.2

225

.24

25.2

425

.24

26.8

5R

20.

408

0.37

00.

474

0.48

20.

507

Pane

lB:I

nclu

ding

1789

Stat

eFi

xed

Effe

cts

Equa

lPar

titi

on0.

825*

**0.

832*

**0.

185*

*-0

.180

**0.

019*

*(0

.240

)(0

.283

)(0

.073

)(0

.087

)(0

.008

)O

bser

vati

ons

568

568

568

568

553

F-va

lue

ofEx

clud

edIV

26.5

929

.55

29.5

529

.55

30.2

8R

20.

455

0.34

40.

424

0.44

60.

103

Pane

lC:I

nclu

ding

Coa

lPot

enti

alan

dM

arke

tPo

tent

iali

n15

00Eq

ualP

arti

tion

0.80

5***

0.82

4***

0.13

6**

-0.1

47*

0.01

9**

(0.2

53)

(0.2

75)

(0.0

75)

(0.0

80)

(0.0

08)

Obs

erva

tion

s58

658

658

658

656

9F-

valu

eof

Excl

uded

IV25

.32

25.3

225

.32

25.3

227

.13

R2

0.44

10.

324

0.46

70.

444

0.05

7Bo

rder

Segm

ent

FEs

XX

XX

XG

eogr

aphi

cC

ontr

ols

XX

XX

XH

isto

rica

lCon

trol

sX

XX

XX

Fren

chO

ZD

umm

yX

XX

XX

Dis

tanc

eto

Urb

anC

ente

rX

XX

XX

Inte

rsec

tsM

ajor

Rai

lway

XX

XX

XIn

ters

ects

Min

orR

ailw

ayX

XX

XX

Not

es.

Stan

dard

erro

rsar

ecl

uste

red

onco

unty

(Lan

dkre

is)

leve

lar

ein

pare

nthe

ses.

Coe

ffici

ent

isst

atis

tica

llydi

ffer

ent

from

zero

atth

e**

*1%

,**

5%

and

*10

%le

vel.

The

unit

ofob

serv

atio

nis

am

unic

ipal

ity

in19

53.

All

regr

essi

ons

incl

ude

aco

nsta

ntno

tre

port

ed.

R2

isth

ece

nter

edR

2of

the

seco

ndst

age.

Geo

grap

hic

cont

rols

incl

ude

mea

nel

evat

ion,

terr

ain

rugg

edne

ssan

dso

ilsu

itab

ility

asw

ell

asth

esh

are

ofag

ricu

ltur

alar

eaus

edto

grow

win

ean

dfr

uits

in19

61,d

ista

nce

toR

hine

orN

ecka

r.H

isto

rica

lco

ntro

lsen

com

pass

dist

ance

toth

ecl

oses

tIm

peri

alci

tyas

of15

56,

dist

ance

tone

xtce

rtai

nR

oman

road

,a

dum

my

vari

able

for

mun

icip

alit

ies

wit

hat

leas

ton

eC

elti

cgr

ave,

hist

oric

alpo

litic

alfr

agm

enta

tion

and

inst

abili

ty,t

hesh

are

ofa

mun

icip

alit

ies

tota

lare

ath

atis

loca

ted

inec

cles

iast

ical

terr

itor

ies

in15

56,p

re-m

edie

valf

ores

tar

eas,

the

shar

eof

Prot

esta

nts

in19

61an

da

dum

my

for

mun

icip

alit

ies

whi

chbe

long

edto

the

Duc

hyof

Wur

ttem

berg

in17

89.

xvi

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Consequences of Inheritance Traditions

Tabl

eA

.11:

Rob

ustn

ess

Che

cks

IV—

Qua

drat

icD

ista

nce

Poly

nom

iala

ndIn

clus

ion

ofEx

clav

es

Dep

ende

ntV

aria

ble

ln(P

opul

atio

nD

ensi

ty19

50)

ln(F

irm

spe

rA

cre

1950

)Em

ploy

men

tSh

are

Indu

stry

1950

Empl

oym

ent

Shar

eA

gric

ultu

re19

50M

igra

tion

Bala

nce

p.c.

1950

(1)

(2)

(3)

(4)

(5)

Pane

lA:W

ith

Qua

drat

icD

ista

nce

Poly

nom

ial

Equa

lPar

titi

on0.

757*

**0.

792*

**0.

172*

*-0

.172

**0.

018*

*(0

.240

)(0

.257

)(0

.079

)(0

.085

)(0

.008

)O

bser

vati

ons

586

586

586

586

569

F-va

lue

ofEx

clud

edIV

32.3

032

.30

32.3

032

.30

33.5

8R

20.

452

0.32

70.

394

0.41

80.

066

Pane

lB:W

ith

Excl

aves

Equa

lPar

titi

on0.

723*

**0.

702*

*0.

162*

*-0

.160

*0.

018*

*(0

.255

)(0

.300

)(0

.077

)(0

.088

)(0

.008

)O

bser

vati

ons

617

617

617

617

600

F-va

lue

ofEx

clud

edIV

39.7

639

.76

39.7

639

.76

41.3

8R

20.

464

0.34

50.

413

0.42

20.

057

Bord

erSe

gmen

tFE

sX

XX

XX

Geo

grap

hic

Con

trol

sX

XX

XX

His

tori

calC

ontr

ols

XX

XX

XFr

ench

OZ

Dum

my

XX

XX

XD

ista

nce

toU

rban

Cen

ter

XX

XX

XIn

ters

ects

Maj

orR

ailw

ayX

XX

XX

Inte

rsec

tsM

inor

Rai

lway

XX

XX

XN

otes

.St

anda

rder

rors

are

clus

tere

don

coun

ty(L

andk

reis

)le

vel

are

inpa

rent

hese

s.C

oeffi

cien

tis

stat

isti

cally

diff

eren

tfr

omze

roat

the

***1

%,

**5

%an

d*1

0%

leve

l.T

heun

itof

obse

rvat

ion

isa

mun

icip

alit

yin

1953

.A

llre

gres

sion

sin

clud

ea

cons

tant

not

repo

rted

.R

2is

the

cent

ered

R2

ofth

ese

cond

stag

e.G

eogr

aphi

cco

ntro

lsin

clud

em

ean

elev

atio

n,te

rrai

nru

gged

ness

and

soil

suit

abili

tyas

wel

las

the

shar

eof

agri

cult

ural

area

used

togr

oww

ine

and

frui

tsin

1961

,dis

tanc

eto

Rhi

neor

Nec

kar.

His

tori

cal

cont

rols

enco

mpa

ssdi

stan

ceto

the

clos

est

Impe

rial

city

asof

1556

,di

stan

ceto

next

cert

ain

Rom

anro

ad,

adu

mm

yva

riab

lefo

rm

unic

ipal

itie

sw

ith

atle

ast

one

Cel

tic

grav

e,hi

stor

ical

polit

ical

frag

men

tati

onan

din

stab

ility

,the

shar

eof

am

unic

ipal

itie

sto

tala

rea

that

islo

cate

din

eccl

esia

stic

alte

rrit

orie

sin

1556

,pre

-med

ieva

lfor

est

area

s,th

esh

are

ofPr

otes

tant

sin

1961

and

adu

mm

yfo

rm

unic

ipal

itie

sw

hich

belo

nged

toth

eD

uchy

ofW

urtt

embe

rgin

1789

.

xvii

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Consequences of Inheritance Traditions

A.4. Additional Results

A.4.1. OLS Results for Baden-Wurttemberg in 1950

Table A.12 shows the OLS results of the regressions investigating the relationship between equalpartition and economic development in 1950. We find that equal partition has an economicallyand statistically significant effect for all dependent variables, except for the migration balance percapita. For example, the number of firms per hectare is on average around 12 % larger in theequal partition areas, and the share of workers in the industrial sector is on average around 4 %higher.

xviii

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Consequences of Inheritance Traditions

Tabl

eA

.12:

Equa

lPar

titio

nan

dIn

dust

rial

izat

ion,

Stru

ctur

alC

hang

e,an

dM

igra

tion

Patt

erns

1950

—O

LSEs

timat

ions

Dep

ende

ntV

aria

ble

ln(P

opul

atio

nD

ensi

ty19

50)

ln(F

irm

spe

rA

cre

1950

)Em

ploy

men

tSh

are

Indu

stry

1950

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oym

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A.4.2. Results for Outcomes in 1961

We complement our results for 1950 with results for 1961. For 1961, we do not have a mi-gration balance in the official statistics but the other four outcomes from the baseline analysis(population and firm density, employment shares of industry and agriculture) we have available.Consequently, we present the result of BDD estimations using these four dependent variablesmeasured in 1961, using the five kilometer buffer and including all baseline controls. The resultsare available in Table A.13. They are qualitatively and quantitatively very similar to those for1950. Thus, a potential bias from the distortions of World War II does not affect our baselineresults for 1950.

Table A.13: Equal Partition, Industrialisation and Economic Structure in 1961

Dependent Variable ln(PopulationDensity 1961)

ln(Firms per Acre1961)

Employment ShareIndustry 1961

Employment ShareAgrar 1961

(1) (2) (3) (4)Buffer Area 10kmEqual Partition 0.908*** 0.729*** 0.120** -0.135**

(0.309) (0.257) (0.049) (0.065)Border Segment FEs X X X XGeographic Controls X X X XHistorical Controls X X X XFrench OZ Dummy X X X XDistance to Urban Center X X X XIntersects Major Railway X X X XIntersects Minor Railway X X X XObservations 586 586 586 586F-value of Excluded IV 34.34 34.34 34.34 34.34R2 0.465 0.386 0.394 0.386Notes. Standard errors are clustered on county (Landkreis) level are in parentheses. Coefficient is statistically different from zero at the ***1 %, **5

% and *10 % level. The unit of observation is a municipality in 1953. All regressions include a constant not reported. R2 is the centered R2 of thesecond stage. Geographic controls include mean elevation, terrain ruggedness and soil suitability as well as the share of agricultural area used togrow wine and fruits in 1961, distance to Rhine or Neckar. Historical controls encompass distance to the closest Imperial city as of 1556, distanceto next certain Roman road, a dummy variable for municipalities with at least one Celtic grave, historical political fragmentation and instability, theshare of a municipalities total area that is located in ecclesiastical territories in 1556, pre-medieval forest areas, the share of Protestants in 1961 and adummy for municipalities which belonged to the Duchy of Wurttemberg in 1789.

A.4.3. Results for Demographic Outcomes

Based on a case study of the primogeniture area of northeastern part Wurttemberg, Krafft (1930)concluded that the number of children in the primogeniture area was smaller. He supposes thatpeople found one son enough to guarantee the future of the family property, and avoided tocompensate the other children. Another argument brought forward by him is that the highermarriage age in the primogeniture areas limited the number of children a couple could get andcontributed to the lower population growth in the primogeniture area. Other scholars arguedthat it could be the other way round and equal partition lead to fewer children as parents want torestrict further fragmentation of property (Habakkuk 1955). Geographically more broad analyseslike Sering and von Dietze (1930) however could not find a clear relationship between inheritancetraditions and fertility numbers or marriage ages.

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Consequences of Inheritance Traditions

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Consequences of Inheritance Traditions

Hence, there is no consensus on whether and how inheritance traditions influence demographicoutcomes like birth rates. In Table A.14, we report the results of BDD regressions for demographicoutcomes (death and birth rates, age structure etc.). We do not see a large influence of equalpartition on the age structure or birth and death rates. Giving the ambiguous arguments aboutthe influence of equal partition on these outcomes this is not surprising.

A.4.4. Results for late 19th Century Wurttemberg

We show that we find similar impacts of inheritance traditions on economic development whenusing alternative, and historically earlier inheritance data from Krafft (1930)4, which is for 1895but restricted to the area of Wurttemberg. Industrialization in this area was ongoing at least since1850, but also as we know that the 20th century has seen the frequent emergence of transitionaland mixed inheritance practices. Looking at an earlier period when more municipalities still ap-plied the traditional basic inheritance practices primogeniture and equal partition should give aclearer picture about their effects than the more complex picture in the mid-20th century. Further-more, studying an earlier period based on a different source for the inheritance traditions, couldreassure us that our results are not depending on the particular survey of Rohm (1957).

As dependent variables, we consider population density in 1834 and 1895, and the number of in-dustry firms and farms per hectare, all in 1895. Information necessary to calculate these variablescomes from the official statistics of the kingdom of Wurttemberg from 1895 (Statistical Office ofWurttemberg 1900). We use the same control variables as before, but we only consider the rail-way network as of 1894 and the share of Protestants in 1895 (also from the official statistics). Wedo not include the share of agricultural area in which wine or fruits are grown, as there are nodata for this period. Distance to urban center we adjust to take into account that the kingdom ofWurttemberg only had two large urban centers, Stuttgart and Ulm.5

The Data Appendix (Table A.6) provides a descriptive overview of the dataset for 1895 Wurttemberg.

As the map of Krafft (1930) does not include a border and given that it is unclear what the originalinheritance practice of his “mixed traditions” is, we are not able to draw one. OLS regressionsare therefore the only feasible choice. Table A.15 reports the results of estimations with the equalpartition dummy as variable of interest and the four dependent variables, introduced above. Theestimated coefficients suggest that, as in 1950 and today, municipalities applying equal partitionhave significantly lower farm sizes, higher population densities and are more industrialized. Thisimplies that our results from other periods are not coincidence or depend on Rohm’s map.

4. We thank Sebastian Braun for making available to us his shapefile of municipalities in Wurttemberg as of 1890,which is the basis for our dataset. There were no changes in municipalities between 1890 and 1905.

5. We also include latitudinal and longitudinal coordinates of a municipality’s centroid as controls to account forgeneral spatial development patterns. This is important, as we are not able to include county fixed effects into theregression. Around 1900, Wurttemberg had more than 60 counties (“Oberamter”) and, based on the Krafft (1930) map,there is not a lot of variation in inheritance traditions within these comparatively small counties.

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Table A.15: Equal Partition and Municipal Economic Development in the 19th Century Wurttemberg

Dependent Variable ln(Farms perhectare 1895)

ln(PopulationDensity 1834)

ln(PopulationDensity 1895)

ln(Firms perhectare 1895)

(1) (2) (3) (4)Equal Partition 0.357*** 0.28*** 0.282*** 0.205**

(0.067) (0.078) (0.078) (0.084)Geographic Controls X X X XHistorical Controls X X X XDistance to Urban Center X X X XIntersects Major Railway X – X XIntersects Minor Railway X – X XObservations 1,828 1,828 1,828 1,316R2 0.416 0.203 0.232 0.177Notes. Standard errors clustered on county (Oberamt) level are in parentheses. Coefficient is statistically different from zero at the ***1

%, **5 % and *10 % level. The unit of observation is a municipality in 1890. All regressions include a constant not reported. Geographiccontrols include mean elevation, terrain ruggedness and soil suitability, as well as distance to Rhine or Neckar and latitude and longitudeof a municipality’s centroid. Historical controls encompass distance to the closest Imperial city as of 1556, distance to next certain Romanroad, a dummy variable for municipalities with at least one Celtic grave, historical political fragmentation and instability, the share of amunicipalities total area that is located in ecclesiastical territories in 1556, pre-medieval forest areas, the share of Protestants in 1895 and adummy for municipalities which belonged to the Duchy of Wurttemberg in 1789.

A.4.5. Results for Contemporary Municipalities and Outcomes in West Germany

Next, we study the effect of equal partition on economic development for the whole of WestGermany, using data from Hager and Hilbig (2018). They digitized a map drawn by Rohm inthe publication “Atlas der deutschen Agrarlandschaft”, with data from a survey for all WestGerman municipalities (for more details see Hager and Hilbig (2018)). They code the inheri-tance traditions for contemporary West German municipalities by overlaying Rohm’s map with ashapefile of contemporary municipalities. Then they count the number of pixels within each cur-rent municipality associated with either inheritance tradition. The authors assign the inheritancetradition with the highest share of pixels to a contemporary municipality.6 A dummy variable isobtained which is equal to one if a contemporary municipality in 1953 applied equal partition.Figure 1(a) in the main text shows West Germany, the borders of contemporary federal statesand municipalities. In the figure, municipalities with equal partition in 1953 are blue and theones applying primogeniture are red. A look at the map clarifies that equal partition was presentmostly in Baden-Wurttemberg, Rhineland Palatine, the Saarland and the south of Hesse. It wasvirtually absent in Bavaria and the north of Germany. Baden-Wurttemberg was the only statewith closed equal partition and primogeniture areas. All other states were scattered. We use thisadvantage of Baden-Wurttemberg to employ a spatial RDD approach.

Their dataset also contains a host of geographical and historical control variables alongside con-temporary socio-economic outcomes (measured in 2014). Among those, the average wage incomeand population density are relevant for our analysis. These two will be the dependent variablesin OLS regressions with the equal partition dummy as variable of interest and following historicaland geographic control variables that could potentially have an influence on both equal partition

6. In order to arrive at a dichotomous measure, they treat transitional forms of equal partition as equal partition andtransitional forms of primogeniture as primogeniture.

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and economic development: A municipality’s distance to Wittenberg, average elevation, the in-tensity of the Peasant Wars of 1522-1525 in the historical state of the municipality, and dummyvariables for historical states of the German Empire of 1871, for municipalities historically locatedin the Roman part of Germany, and in which the code civil was the prevailing law in 1894.7 Weinclude either federal state or county fixed effects into the regressions.

Table A.16 reports results of the OLS regressions. Regardless of which combination of fixedeffects and control variables, equal partition municipalities have a statistically and economicallysignificantly higher population density (around 15 to 58 %) and higher average wage incomes(around 1.6 to 5 %). In conclusion, the results confirm that there is a positive relationship betweenequal partition and municipal economic prosperity in today’s West Germany.

Table A.16: Equal Partition and Current Municipal Development in West Germany

Dependent Variable ln(Population Density 2014) ln(Average Wage Income 2014)

(1) (2) (3) (4) (5) (6)Equal Partition 0.567*** 0.325*** 0.154*** 0.0468*** 0.0211*** 0.0159***

(0.0754) (0.065) (0.054) (0.009) (0.006) (0.006)Federal State Dummies X – – X – –Latitude and Longitude X – – X – –County Dummies – X X – X XFurther Controls – – X – – XObservations 4,021 4,021 4,001 7,977 7,977 7,896R2 0.183 0.504 0.579 0.132 0.388 0.405

Notes. Standard errors are clustered on county (Landkreis) level are in parentheses. Coefficient is statistically different from zero atthe ***1%, **5% and *10% level. The unit of observation is a municipality in 2014. All regressions include a constant not reported.Controls include a municipality’s distance to Wittenberg, average elevation, a variable reporting the intensity to which the county inwhich a municipality is located was involved in the Peasant Wars of 1522-1525, dummy variables for historical states of the GermanEmpire of 1871, for municipality’s historically located in the Roman part of Germany, for municipalities in which the code civil wasthe prevailing civil code in 1894.

7. For descriptive statistics of those variables, the reader is referred to the Data Appendix of the Hager and Hilbig(2018) paper.

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A.4.6. Additional Tables for the IV regressions in section 2.7

Table A.17: Seasonality of Precipitation, Crop Suitabilities and Historical Wine-growing

Dependent Variable Winter WheatSuitability

Potatoe Suitability Maize Suitability Barley Suitability Wine Growingbefore 1624

(1) (2) (3) (4) (5)Method OLS ProbitSeasonality of Precipitation 0.109 -0.0215 -7.42e-05 0.0293 0.0613***

(0.145) (0.083) (0.057) (0.189) (0.024)Elevation (mean) -0.0256** 0.0072 0.0296*** 0.0005 -0.006***

(0.011) (0.006) (0.002) (0.01) (0.002)Ruggedness (mean) -0.0124** -0.0061 -0.0072*** 0.0195** 0.0005

(0.005) (0.004) (0.002) (0.008) (0.001)Distance to Major Rivers 0.171** -0.0723 -0.0779*** -0.135* -0.0205*

(0.065) (0.043) (0.025) (0.079) (0.01)Share Church Territory -2.737 -0.982 1.141 4.568** -0.931**

(1.675) (1.486) (0.816) (1.970) (0.375)Distance to Imperial City -0.133 -0.0623 0.120*** 0.0317 -0.0256**

(0.081) (0.051) (0.031) (0.108) (0.012)Distance to Roman Road 0.250*** 0.0207 -0.131*** -0.249** 0.0146

(0.051) (0.055) (0.037) (0.098) (0.027)Suitability for Potatoe 0.404*** -0.0422 -0.0712 0.0087

(0.074) (0.033) (0.08) (0.013)Suitability for Maize 1.086*** -0.173 -0.450 0.0209

(0.332) (0.171) (0.277) (0.048)Suitability for Barley 0.666*** -0.0335 -0.0518** -0.0186

(0.066) (0.040) (0.024) (0.013)Suitability for Winter Wheat 0.302*** 0.199*** 1.059*** 0.0187

(0.059) (0.021) (0.04) (0.0173)R2 \Pseudo-R2 0.933 0.594 0.852 0.902 0.355Observations 890 890 890 890 890Notes. Standard errors clustered on county (Landkreis) level are in parentheses. Coefficient is statistically different from zero at the ***1 %, **5 % and *10 % level.

The unit of observation is a municipality in 1953. All regressions include a constant not reported. Column (5) reports average marginal effects.

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A.5. Additional Figures

Note: The figure shows residuals of a linear probability model explaining the historical equal partition area. The darker red themunicipalities are colored, the higher is the residual.

Figure A.2: Predicted Equal Partition Area, Prediction Residuals and the Historical Inheritance Border

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