Augmenting the availability of historical GDP per capita estimates through machine learning
Edited by Marshall Burke, Stanford University, Stanford, CA; received January 31, 2024; accepted August 9, 2024 by Editorial Board Member Ronald D. Lee
Significance
The scarcity of historical GDP per capita data limits our ability to explore questions of long-term economic development. Here, we introduce a machine learning method using detailed data on famous biographies to estimate the historical GDP per capita of hundreds of regions in Europe and North America. Our model generates accurate out-of-sample estimates (R2 = 90%) that quadruple the availability of historical GDP per capita data and correlate positively with proxies of economic output such as urbanization, body height, well-being, and church building activity. We use these estimates to reproduce the reversal of fortunes experienced by southern and northern Europe and the historical role played by Atlantic ports. These findings show that machine learning can effectively augment the historical availability of economic data.
Abstract
Can we use data on the biographies of historical figures to estimate the GDP per capita of countries and regions? Here, we introduce a machine learning method to estimate the GDP per capita of dozens of countries and hundreds of regions in Europe and North America for the past seven centuries starting from data on the places of birth, death, and occupations of hundreds of thousands of historical figures. We build an elastic net regression model to perform feature selection and generate out-of-sample estimates that explain 90% of the variance in known historical income levels. We use this model to generate GDP per capita estimates for countries, regions, and time periods for which these data are not available and externally validate our estimates by comparing them with four proxies of economic output: urbanization rates in the past 500 y, body height in the 18th century, well-being in 1850, and church building activity in the 14th and 15th century. Additionally, we show our estimates reproduce the well-known reversal of fortune between southwestern and northwestern Europe between 1300 and 1800 and find this is largely driven by countries and regions engaged in Atlantic trade. These findings validate the use of fine-grained biographical data as a method to augment historical GDP per capita estimates. We publish our estimates with CI together with all collected source data in a comprehensive dataset.
Data, Materials, and Software Availability
We publish our out-of-sample estimates together with the collected source data on countries (27, 28) and regions (29, 58–65) in a comprehensive dataset comprising 5,700 observations (1,336 source data observations, and 4,364 out-of-sample estimates). For the out-of-sample estimates, we provide 90 percent CI. Also, we publish the code to ensure reproducibility of our results. Data and code are available at https://github.com/philmkoch/historicalGDPpc.
Acknowledgments
We acknowledge the support of the Agence Nationale de la Recherche grant number ANR-19-P3IA-0004, the European Union and the European Research Executive Agency under the Horizon EU project LearnData 101086712, Institute for Advanced Study in Toulouse funding from the French National Research Agency (ANR) under grant ANR-17-EURE-0010 (Investissements d’Avenir program), and the European Lighthouse of AI for Sustainability [grant number 101120237-HORIZON-CL4-2022-HUMAN-02].
Author contributions
P.K., V.S., and C.A.H. designed research; P.K. performed research; P.K. analyzed data; C.A.H. supervised the project; and P.K., V.S., and C.A.H. wrote the paper.
Competing interests
The authors declare no competing interest.
Supporting Information
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Copyright
Copyright © 2024 the Author(s). Published by PNAS. This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY).
Data, Materials, and Software Availability
We publish our out-of-sample estimates together with the collected source data on countries (27, 28) and regions (29, 58–65) in a comprehensive dataset comprising 5,700 observations (1,336 source data observations, and 4,364 out-of-sample estimates). For the out-of-sample estimates, we provide 90 percent CI. Also, we publish the code to ensure reproducibility of our results. Data and code are available at https://github.com/philmkoch/historicalGDPpc.
Submission history
Received: January 31, 2024
Accepted: August 9, 2024
Published online: September 16, 2024
Published in issue: September 24, 2024
Change history
September 24, 2024: The article text has been updated to correct a typographical error. Previous version (September 16, 2024)
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Acknowledgments
We acknowledge the support of the Agence Nationale de la Recherche grant number ANR-19-P3IA-0004, the European Union and the European Research Executive Agency under the Horizon EU project LearnData 101086712, Institute for Advanced Study in Toulouse funding from the French National Research Agency (ANR) under grant ANR-17-EURE-0010 (Investissements d’Avenir program), and the European Lighthouse of AI for Sustainability [grant number 101120237-HORIZON-CL4-2022-HUMAN-02].
Author Contributions
P.K., V.S., and C.A.H. designed research; P.K. performed research; P.K. analyzed data; C.A.H. supervised the project; and P.K., V.S., and C.A.H. wrote the paper.
Competing Interests
The authors declare no competing interest.
Notes
This article is a PNAS Direct Submission. M.B. is a guest editor invited by the Editorial Board.
Although PNAS asks authors to adhere to United Nations naming conventions for maps (https://www.un.org/geospatial/mapsgeo), our policy is to publish maps as provided by the authors.
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