Household size and growth since 1870 (albeit in Canada)

Two days ago, I posted something on how much we were estimating growth since the 1950s. While organizing another research paper that I am trying to finish, I realized that I could make a follow-up to this based on previous research of mine.

A few months ago, I published (alongside Vadim Kufenko and Klaus Prettner) a short note in Economics Bulletin where we showed that the large differences in household size in Canada that existed up to 1975 led many to overestimate the level of differences between provinces. Moreover, we pointed out that because household size were converging at the same time as incomes, we argued that the rate of convergence from 1945 onwards was slightly overestimated. That paper convinced us to do the same between all the OECD countries (we are assembling the data right now).  But this was an argument about variance, what if we simply plot the “per capita” income of Canada with the “per adult equivalent” income of Canada since 1870.

By using the Maddison dataset combined with the data from my article, it took me a few seconds to get the graph below. What is important to notice in this graph is that, incomes per adult equivalent (measured in 1990 Geary-Kheamis dollars) have increased 40% less than incomes per person. Since adult equivalents are a better measure of living standards (because you capture the economies of scale associated with household size), we can easily say that we have been underestimating the level of improvement in Canada (it is still substantial however).


“Watch” the (industrial) revolution!

I don’t know how I missed such a valuable article, but O’Grada and Kelly have this fascinating piece on the price of watches in England from the early 18th century to the early 19th century in the Quarterly Journal of EconomicsStarting from Adam Smith’s quote that the price of watches had fallen 95% over roughly one hundred years, they collected prices of stolen watches reported in court records.  They find that Smith was wrong. The drop was only 75% (see the sarcasm here).


Why is this interesting? Because it shows something crucial about the industrial revolution. This was a complex good to build which required incredible technical advances – many of which could be considered general purpose technologies which could then be used by other industries for their own advances (on the assumption that other entrepreneurs noticed these technologies). But, more importantly, it provides further evidence against the pessimistic view of living standards in Britain at the beginning of the Industrial Revolution. These “new” goods became incredibly cheaper. Along with nails, glass, pottery and shipping , watches did not weigh heavily in the cost of living of the British. However, they did weigh heavily as industrial prices which meant that costs of production were falling progressively which augured well for the beginning of the industrial revolution*.

Literally, you can watch the industrial revolution in that paper! (sorry, bad pun)

* By the way, I use the term because it is conventional but a revolution is a clean break. The British industrial revolution was not saltation as much as it was a steady process of innovation from the early 18th century up to the mid 19th century. The real “revolution” in my eyes is that of the late 19th century. The technological changes from 1870 to 1890 are the most momentous in history and if there was any technological revolution in the past, this was it.

When (Where and Why) Women Were More Literate than Men

For most of history, men tended to be more literate than women. In essence, illiteracy was widespread but even more so for women. There is one exception: the French-Canadians. For most of the 19th century, literacy rates were greater for French-Canadian women than French-Canadian men.


This is a fascinating piece of economic history and somewhat of a puzzle (given that it is an oddity). It also shows how important institutions are to determining paths of development. In a 1999 article in the Journal of Economic History, Gillian Hamilton indicates that the more “liberal” institution of marriage contracts for the French-Canadians probably induced this result :

Quebec’s unique legal institutions offered the opportunity to draw up a prenuptial contract to couples who could benefit from a different property structure than the law provided. Not surprisingly, a prenuptial contract was unnecessary for most couples. Within this transaction cost-competitive marriage market framework, contracts generally were desirable only in cases of mismatch, either due to an exceptional woman or a relatively productive husband whose job did not entail a significant component of family participation. Their contracting decisions are consistent with terms that would have provided them with more appropriate incentives for work and the production of jointly produced goods, and at least the potential for greater utility and wealth than they otherwise would have accumulated. The use of contracts likely provided Quebec with higher overall wealth and a wider income distribution than it would have experienced without contracts (because the skilled disproportionately signed agreements).


How much has Cuban productivity increased since 1960?

Is it possible for two equally rich countries (on a per capita basis) to have different level of output per worker? The answer is obviously yes, and it matters in the case of measuring growth in Cuba since the revolution.

A country with a very young population will tend to have fewer workers than one with an older (but not too old) population. Let’s say that countries A and B have a median age of 22.5 in year one.  However, in year ten, country A has a median age of 35 but country B has seen a more modest increase to a median age of 25. This will bias any estimates of growth comparison between both country. The increase in the median age suggests that there are more and more workers in country A (people of prime age) than in country B. As a result of that, output per capita will increase faster in country A than in country B even if both countries have equal rates of growth in output per worker.

Well, countries A and B are basically Cuba and most of the rest of Latin America. Since the 1950s, Cuba’s population has aged rapidly but birth rates have plummeted so fast that families shrunk. With fewer kids in the population, it means that the share of the Cuban population that are of prime working age increased rapidly. This is what biases the comparison of Cuban living standards with other Latin American countries.

In the figure below, I took the GDP (the Maddison data) of Cuba since 1950 (indexed at 1960 to see the arrival of Castro) and divided it by the total population, the population above 15 years of age and the population between 15 and 64.


As one can see, with the GDP per capita series, Cubans saw a 50% increase in their incomes between 1960 and 2005 (the Maddison data stops at 2008). However, when you look at GDP per working age adult in order to capture the growth in productive capacity, you get moderately different results whereby the cumulative increase is three-fifths to half as small.

In light of this, it seems like Cuba’s living standards are less and less impressive.

On Tax Resistance, Censuses and the Cliometrician’s Craft

In the process of finalizing another research article (under revise and resubmit for Agricultural History), I found a small case of tax resistance in Canada East (modern day Quebec) in 1851  that is interesting.

The district of Grenville, northwest of Montreal, was an ethnically mixed district (25% French, the rest were English-Canadians) operating under the British freehold tenure system (as opposed to most of the rest of the province that operated under French seigneurial tenure). During the 1851 census, the enumerator complained that the population of roughly 2,000 inhabitants refused to report statistical information.

Basically, the enumerator pointed out that the majority supposed the information they were giving was “the precursor of a general tax for schools which they are strongly opposed to”.


I find this to be interesting because it is a nice little case of how hard to master the craft of an economic historian. As a cliometrician, my task is to find the best data possible to answer historical questions with strong economic theory (while enriching theory with historical evidence). The data for that area would be biased downwards as peasants would understate their incomes to avoid being heavily taxed. Any statistical test to assert the applicability of a theory to historical questions of Canada (or Quebec) would be altered by this reaction on the part of peasants.

True, for some broad questions (like measuring GDP), this would not be too dramatic an issue. However, for more specific questions like “what was the role of tenure systems in explaining Quebec’s relative poverty”, the issue would be more problematic.

How much do the little things matter, right?

Ten best papers/books in economic history of the last decades (part 2)

Yesterday, I published part 1 of what I deemed were the best papers and books in the field of economic history of the last few decades. I posted only the first five and I am now posting the next five.

  • Carlos, Ann M., and Frank D. Lewis. Commerce by a frozen sea: Native Americans and the European fur trade. University of Pennsylvania Press, 2011.

This book is not frequently cited (only 30 cites according to Google Scholar), but it has numerous gems for scholars to include in their future work. The reason for this is that Carlos and Lewis have pushed the frontier of economic history into the history of Natives in the New World. This issue of Natives in North America is one of those topics that irritates me to no end as an economic historian. A large share of the debates on economic growth in the New World have been centered on the idea that there was either some modest growth (less than 0.5% per year in per capita income) or no growth at all (which is still a strong testimonial given that the population exploded). But all that attention centres on comparing “whites” (and slaves) in the New World with everyone in the Old World. In the first decades of the colonies of Canada and the United States, aboriginals clearly outnumbered the new settlers (in Canada, the native population around 1736 was estimated at roughly 20,000 which was slightly less than the population of Quebec – the largest colony). Excluding aboriginals, who comprised such a large share of the population, at the starting point will indubitably affect the path of growth measured thereafter. My “gut feeling” is that anyone who includes natives in GDP accounting will lower the starting point dramatically. That will increase the rate of long-term growth. Additionally, the output that aboriginals provided was non-negligible and probably grew more rapidly than their population (the rising volume of furs exported was much greater than their population growth). This is why Carlos and Lewis’s work is so interesting: because it is essentially the first to assemble economic continuous time series regarding trade between trappers and traders, the beaver population, property rights and living standards of natives. From their work, all that is needed is a few key defensible assumptions in order to include natives inside estimates of living standards. From there, I would not be surprised that most estimates of growth in the North American colonies would be significantly altered and the income levels relative to Europe would also be altered.

  • Floud, Roderick, Robert W. Fogel, Bernard Harris, and Sok Chul Hong. The changing body: Health, nutrition, and human development in the western world since 1700. Cambridge University Press, 2011.

This book is in the list because it is a broad overview of the anthropometric history that has arisen since the 1980s as a result of the work of Robert Fogel. I put this book in the list because the use of anthropometric data allows us to study the multiple facets of living standards. For long, I have been annoyed at the idea of this unidimensional concept of “living standards” often portrayed in the general public (which I am willing to forgive) and the economics profession (which is unforgivable). In life, everything is a trade-off.  A peasant who left the countryside in the 19th century to get higher wages in a city manufacture estimated that the disamenities of the cities were not sufficient to offset wage gains (see notably Jeffrey Williamson’s Coping with City Growth during the British Industrial Revolution on this). For example, cities tended to have higher food prices than rural areas (the advantage of cities was that there were services no one in the countryside could obtain).  Cities were also more prone to epidemics and pollution implied health costs. Taken together, these factors could show up in the biological standard of living, notably on heights. This is known as the “Antebellum puzzle” where the mean heights of individuals in America (and other countries like Canada) fell while there was real income and wage growth. The “Antebellum puzzle” that was unveiled by the work of Fogel and those who followed in his wake represents the image that living standards are not unidimensional. Human development is about more than incomes. Human development is about agency and the ability to choose a path for a better and more satisfying life. However, with agency comes opportunity costs. A choice implies that another path was renounced. In the measurement of living standards, we should never forget the path that was abandoned. Peasants abandoned lower rates of infant mortality, lower overall rates of mortality, the lower levels of crowding and pollution, the lower food prices and the lower crime rates of the countryside in favor of the greater diversity of goods and services, the higher wages, the thicker job market, the less physically demanding jobs and the more secure source of income (although precarious, this was better than the volatile outcomes in farming). This was their trade-off and this is what the anthropometric literature has allowed us to glean. For this alone, this is probably the greatest contribution in the field of economic history of the last decades.

  • De Vries, Jan. The industrious revolution: consumer behavior and the household economy, 1650 to the present. Cambridge University Press, 2008.

Was there an industrious revolution before the industrial revolution? More precisely, did people increase their labour supply during the 17th and 18th centuries which lead to output growth? In proposing this question, de Vries provided a theoretical bridge of major significance between the observations of wage behavior and incomes in Europe during the modern era. For example, while wages seemed to be stagnating, incomes seemed to be increasing (in the case of England as Broadberry et al. indicated). The only explanation is that workers increased their labor supply? Why would they do that? What happened that caused them to increase the amount of labor they were willing to supply? The arrival of new goods (sugar, tobacco etc.) caused them to change their willingness to work. This is a strong illustration of how preferences can change more or less rapidly (when new opportunities are unveiled). In fact, Mark Koyama (who blogs here) managed to insert this narrative inside a very simple restatement of Gary Becker’s model of time use. Either you have leisure that is cheap but time-consuming (think of leisure in the late middle ages) or leisure that is more expensive but does not consume too much time (think the consumption of tea, sugar and tobacco). Imagine you only have the time-expensive leisure which you value at level X. Now, imagine that the sugar and tea arrive and, although you pay a higher price, it provides more utility than the level and it takes less time. In such a context, you will likely change your preferences between leisure and work. I am grossly oversimplifying Mark’s point here, but the idea is that the industrious revolution argument advanced by de Vries can easily fit inside a simple neoclassical outlook. On top of solving many puzzles, it also shows that one does not need to engage in some fanciful flight of Marxian theory (I prefer Marxian to Marxist because it is one typo away from being Martian which would adequately summarize my view of Marxism as a social theory). If it fits inside the simpler model, then you don’t need the rest.  De Vries does just that.

  • Anderson, Terry Lee, and Peter Jensen Hill. The not so wild, wild west: Property rights on the frontier. Stanford University Press, 2004.

Governance is not the same as government (in fact, they can be mutually exclusive). In recent years, I have been heavily influenced by Elinor Ostrom’s work on how communities govern the commons in very subtle (but elaborate) ways without the use of coercion. These institutional arrangements are hard to simplify into one variable for a regression, but they are theoretically simple to explain: people respond to incentives. Ostrom’s entire work shows that people on the front line of problems generally have the best incentives to get the right solution because they have skin in the game. What her work shows is that individuals govern themselves (see also Mike Munger’s Choosing in Groups) by generating micro-institutions that allow exchanges to continue. Terry Anderson and Peter Hill provide the best illustration in economic history in that regard by studying the frontier of the American west. Settlers moved to the American West faster than the reach of government and the frontier was thus an area more or less void of government action. So, how did people police themselves? Was it the wild west? No, it was not. Private security firms provided most of the policing, mining clubs established property rights without the need for government, farmers established constitutions in voluntary associations that they formed and many “public goods” were provided privately. The point of Anderson and Hill is that governance did exist on the frontier in a way that demonstrates the ability of voluntary actions (as opposed to coercive government actions) to generate sustainable and efficient solutions. The book has a rich theoretical framework on top of a substantial body of evidence regarding the emergence of institutions. Any good economic historian should own and read this book.

  • Vedder, Richard K., and Lowell E. Gallaway. Out of work: unemployment and government in twentieth-century America. NYU Press, 1997.

The last book on the list is an underground classic for me. Richard Vedder and Lowell Gallaway are very good economic historians. Most of their output was produced from the 1960s to the 1980s. However, as the 1990s came, they moved towards the Austrian school of Economics. With them, they brought a strong econometric knowledge – a rarity among Austrian scholars. They attempted one of the first (well-regarded) econometric studies that relied on Austrian theory of the labor-market (a mixture of New Classical Theory with Austrian Theory). Their goal was to explain variations in unemployment in the United States by variations in “adjusted real wages” (i.e. unit labor costs) all else being equal. At the time of the publication, they used very advanced econometric techniques. The book was well received and even caught the attention of Brad DeLong who disagreed with it and debated Vedder and Gallaway in the pages of Critical Review. Although there are pieces that I disagree with, the book has mostly withstood the test of time. The core insights of Out of Work regarding the Great Depression (and many of its horrible policies like the National Industrial Recovery Act) have been conserved by many like Scott Sumner in his Midas Paradox and they feature prominently in the works of scholars like Lee Ohanian, Harold Cole, Albrecht Ristchl and others. In the foreword to the book, they mention that D.N. McCloskey (then the editor of the Journal of Economic History) had pushed hard for them to publish their work regarding the 1920s and 1930s. The insights regarding the “Great Depression of 1946” (a pun to ridicule the idea that the postwar reduction in government expenditures led to a massive reduction in incomes) have been generally conserved by Robert Higgs in his Journal of Economic History article I mentioned yesterday (and in this article as well) and even by Alexander Field in his Great Leap Forward However, Out of Work remains an underground classic that is filled with substantial pieces of information and data that remains unused. There are numerous unexploited insights (some of which Vedder and Gallaway have followed on) as well. The book should be mandatory reading for any economic historian.

Ten best papers/books in economic history of the last decades (part 1)

In my post on French economic history last week,  I claimed that Robert Allen’s 2001 paper in Explorations in Economic History was one of the ten most important papers of the last twenty-five years. In reaction, economic historian Benjamin Guilbert asked me “what are the other nine”?

As I started thinking about the best articles, I realized that such a list is highly subjective to my field of research (historical demography, industrial revolution, great divergence debate, colonial institutions, pre-industrial Canada, living standards measurement) or some of my personal interests (slavery and the great depression). So, I will propose a list of ten papers/works that need to be read (in my opinion) by anyone interested in economic history. I will divide this post in two parts, one will be published today, the other will come out tomorrow.

  • Higgs, Robert. “Wartime Prosperity? A Reassessment of the US Economy in the 1940s.” Journal of Economic History 52, no. 01 (1992): 41-60.

Higgs’s article (since republished and expanded in a book and in follow-ups like this Independent Review article) is not only an important reconsideration of the issue of World War II as a causal factor in ending the Great Depression, it is also an efficient primer into national accounting. In essence, Higgs argues that the war never boosted the economy. Like Vedder and Gallaway, he argues that deflators are unreliable as a result of price controls. However, he extends that argument to the issue of measuring GDP. In wartime, ressources are directed, not allocated by exchange. Since GDP is a measure of value added in exchanges, the wartime direction of resources does not tell us anything about real production. It tells us only something about the government values. As a result, Higgs follows the propositions of Simon Kuznets to measure the “peacetime concept” of GDP and finds that the prosperity is overblown. There have been a few scholars who expanded on Higgs (notably here), but the issues underlined by Higgs could very well apply to many other topics.  Every year, I read this paper at least once. Each time, I discover a pearl that allows me to expand my research on other topics.

  • Allen, Robert C. The British industrial revolution in global perspective. Cambridge: Cambridge University Press, 2009.

I know I said that Allen’s article in Explorations was one of the best, but Allen produces a lot of fascinating stuff. All of it is generally a different component of a “macro” history. That’s why I recommend going to the book (and then go to the article depending on what you need). The three things that influenced me considerably in my own work were a) the use of welfare ratios, b) the measurement of agricultural productivity and c) the HWE argument. I have spent some time on items A and C (here and here). However, B) is an important topic. Allen measured agricultural productivity in England using population levels, prices and wages to proxy consumption in a demand model and extract output from there (see his 2000 EREH paper here). As a result, Allen managed to compare agricultural productivity over time and space. This was a great innovation and it is a tool that I am looking to important for other countries – notably Canada and the US. His model gives us the long-term evolution of productivity with some frequency. In combination with a conjonctural estimate of growth and incomes or an output-based model, this would allow the reconstruction (if the series match) of a more-or-less high frequency dataset of GDP (from the perspective of an economic historian, annual GDP going back into the 17th century is high-frequency). Anyone interested in doing the “dirty work” of collecting data, this is the way to go.

  • Broadberry, Stephen, Bruce MS Campbell, Alexander Klein, Mark Overton, and Bas Van Leeuwen. British economic growth, 1270–1870. Cambridge University Press, 2015.

On this one, I am pretty biased. This is because Broadberry (one of the authors) was my dissertation supervisor (and a pretty great one to boot). Nonetheless, Broadberry et al. work greatly influenced my Cornucopian outlook on the world. Early in my intellectual development, I was introduced to Julian Simon’s work (see the best of his work here and here and Ester Boserup whose argument is similar but more complex) on environmental trends. While Simon has generally been depicted as arguing against declining environmental indicators, his viewpoint was much broader. In essence, his argument was the counter-argument to the Malthusian worldview. Basically, Malthusian pressures caused by large populations which push us further down the curve of marginally declining returns have their countereffects. Indeed, more people means more ideas and ideas are non-rival inputs (i.e. teaching you to fish won’t make me unlearn how to fish). In essence, rising populations are no problems (under given conditions) since they can generate a Schumpeterian countereffect (more ideas) and a Smithian countereffect (size of market offsets). In their work, Broadberry et al. basically confirm a view cemented over the last few decades that England had escaped the Malthusian trap before the Industrial Revolution (see Crafts and Mills here and Nicolinni here). They did that by recreating the GDP of Britain from 1270 to 1870. They found that GDP per capita increased while population increased steadily which is a strong piece of evidence. In their book, Broadberry et al. actually discuss this implication and they formulate the Smithian countereffect as a strong force that did offset the Malthusian pressures. Broadberry and al. should stand in everyone’s library as the best guidebook in recreating long-term historical series in order to answer the “big questions” (they also contribute to the Industrious Revolution argument among many other things).

  • Chilosi, David, Tommy E. Murphy, Roman Studer, and A. Coşkun Tunçer. “Europe’s many integrations: Geography and grain markets, 1620–1913.” Explorations in Economic History 50, no. 1 (2013): 46-68.

Although it isn’t tremendously cited yet, this is one of the best article I have read (and which is also recounted in Roman Studer’s Great Divergence Reconsidered). This is because the paper is one of the first to care about market integration on a “local” scale. Most studies of market integration consider long-distance trade for grains and they generally start with the late 19th century which is known as the first wave of globalisation. However, from an economic historian perspective, this is basically studying things once the ball had already started rolling.  Market integration is particularly interesting because it is related to demographic outcomes. Isolated markets are vulnerable to supply shocks. However, with trade it is possible to minimize shocks by “pooling” resources. If village A has a crop failure, prices will rise inciting village B where there was an abundant crop to sell wheat to village A. In the end, prices in village A will drop (causing fewer deaths from starvation) and increase in village B. This means that prices move in a smoother fashion because there are no localized shocks (see the work of my friend Pierre Desrochers who argues that small local markets were associated for most of history with high mortality risks). In their work, Chilosi et al. decide to consider the integration of markets between villages A and B rather than between country A and B. Basically, what they wonder is when geographically close areas became more integrated (i.e. when did Paris and Bordeaux become part of the same national market?). They found that most of Europe tended to be a series of small regions that were more or less disconnected from one another. However, over time, these regions started to expand and integrate so that prices started moving more harmoniously. This is an important development that took place well before the late 19th century. In a way, the ball of market integration started rolling in the 17th century. Put differently, before globalization, there was regionalization. The next step to expand on that paper would be to find demographic data for one of the areas documented by Chilosi et al. and see if increased integration caused declines in mortality as markets started operating more harmoniously.

  • Olmstead, Alan L., and Paul W. Rhode. Creating Abundance. Cambridge Books (2008).

This book has influenced me tremendously. Olmstead and Rhode contribute to many literatures simultaneously. First of all, they show that most of the increased in cotton productivity in the United States during the antebellum era came from crop improvements. Secondly, they show that these improvements occured with very lax patents systems. Thirdly, they show how crucial biological innovations were in determining agricultural productivity in the United States (see their paper on wheat here and their paper on induced innovation). On top of being simply a fascinating way of doing agricultural history (by the way, most economic history before 1900 will generally tend to be closely related to agricultural history), it forces many other scholars to reflect on their own work. For example, the rising cotton productivity explains the rising output of slavery in the antebellum south. Thus, there is no need to rely on some on the fanciful claims that slaveowners became more efficient at whipping cotton out of slaves (*cough* Ed Baptist *cough*). They also show that Boldrine and Levine are broadly correct in stating that most types of technological innovations do not require extreme patents like those we know today (and which are designed to restrict competition rather than promote competition). In fact, their work on biological innovations have pretty much started a small revolution in that regard (see one interesting example here in French). Finally, they also invalidated (convincingly in my opinion) the induced innovation model that generally argued that technologies are developped merely to ease scarcities of factors. While theoretically plausible, this simplified model did not fit many features of American economic history. Their story of biological innovations is an efficient remplacement.